The expression 0.6y represents the result of
decreasing the quantity y by p%. What is the value
of p?
Answers
Answer:
P=40 and y was decreased by 40%
Step-by-step explanation:
Let's set up an equation as follows. In this case, we will set y will be equivalent to 1, as the number can be any value for this equation in the other fraction as the original number. Let us then represent the new number, 0.6y, or 0.6*1 which will be equivalent to 0.6 itself, and we will set that equal to 100-p as p will be the amount of percent it was decreased by. Here is the equation as follows:
[tex]\frac{1}{0.6} =\frac{100}{100-p}\\\\[/tex]We can use a method of solving fractions that is known as the Cross-multiplication property, which demonstrated in the image attached below this answer. Using this property, we can determine and simplify the equation to as follows:
[tex]1*(100-p)=0.6(100)[/tex], which can be simplified to [tex]100-p=60[/tex], and then solving the equation gives us the answer:
[tex]p=40[/tex]
P=40
Related Questions
Order the numbers from least to greatest
Answers
Arranging the numbers in the given terms we get, -√30 , ∛-89, ∛43, 5.2, √71, 15-√2, 96.
What is number?A number is an arithmetic value which is used for representing the quantity and used for various calculations. A written symbol like “7” which represents a number is also known as numerals. For a number which contains more than one term then each term is called the digit of the number.
Then given numbers are,
5.2, -√30, ∛43, √71, ∛-89, 96, 15-√2
The first number is 5.2
The second number is -√30= -5.477
The third number is ∛43 = 3.503
The fourth number is √71= 8.426
The fifth b is ∛-89= -4.46474 [cube root of an imaginary number]
The sixth number is 96
The seventh number is 15-√2=13.5858
Arranging the numbers from least to greatest we get,
-5.477
-4.46474
3.503
5.2
8.426
13.5858
96
Hence, arranging the numbers in the given terms we get,
-√30 , ∛-89, ∛43, 5.2, √71, 15-√2, 96.
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the boxplot below display the amount of time your previous classmates study in hours in a week (from your class survey!). what is true about the boxplot? select all that apply.
Answers
The specific boxplot provided to determine which of these characteristics are true for that particular dataset.
The student question is asking about the characteristics of a boxplot
displaying the amount of time previous
classmates studied in hours per week. Since there is no boxplot provided, I will give you a general overview of what
could be true about a boxplot:
1. The boxplot shows the median, which is the middle value of the dataset.
2. The boxplot displays the lower quartile (Q1) and the upper quartile (Q3), representing the 25th and 75th percentiles,
respectively.
3. The boxplot can help identify the range, which is the difference between the minimum and maximum values.
4. The boxplot can help detect potential outliers in the data.
5. The boxplot provides a visual representation of the data's overall distribution and spread.
Remember that you need to look at the specific boxplot provided to determine which of these characteristics are true
for that particular dataset.
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In a circle dance, everyone is evenly spaced around a circle and has
a number in the order 1, 2, 3, 4, 5, ... , and so on. The dancer with
number 15 is directly opposite dancer number 3. How many dancers
are in the circle?
Answers
In a circle dance, there are 17 dancers in the circle.
What is circle dance?Circle dance is a type of folk dance that involves people holding hands and dancing in a circular formation. The dancers move around in a circle, following a set of steps or patterns, and the dance may include turns, hops, and other movements.
According to question:In a circle dance, the total number of dancers is equal to the sum of the dancers on opposite sides of the circle.
Let's assume there are "x" dancers in the circle.
Since dancer 15 is directly opposite dancer 3, there are (x - 1) dancers between them.
Therefore, the sum of the dancers on opposite sides of the circle is (15 + 3) + (x - 1) = (x + 17).
Since the dancers are evenly spaced around the circle, the sum of the dancers on opposite sides of the circle is equal to the total number of dancers in the circle.
So we can write:
x + 17 = x
Solving for x, we get:
x = 17
Therefore, there are 17 dancers in the circle.
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five of these six triple integrals are over the same region of space: the tetrahedron pictured below with vertices at (0, 0, 0), (0, 0, 1), (1, 0, 0) and (1, 1, 0). one of these triple integrals is over a different region. which one is different?
Answers
All five of the triple integrals are over the same region of space, they should produce the same result so the one that produces a different result must be over a different region.
a. The triple integral for F(x, y, z) over the region D with order of integration dy dz dx is x=0 to 1, y=0 to x and z=0 to 1-x-y.
b. The triple integral for F(x, y, z) over the region D with order of integration dx dy dz is z=0 to 1, y=0 to 1-z and x=y to 1-z.
c. The triple integral for F(x, y, z) over is 0 ≤ z ≤ 1 - x - y, 0 ≤ x ≤ y and 0 ≤ y ≤ 1.
To evaluate the function F(x, y, z) over the region D, we need to set up the appropriate triple integral. Since the order of integration is given, we can use that to determine the limits of integration.
(a) dy dz dx:
In this order of integration, we integrate with respect to y first, then z, then x.
The limits of integration for x are from 0 to 1.
For y, the limits of integration depend on the value of x. When x is between 0 and y, the limits of y are from 0 to 1. When x is between y and 1, the limits of y are from 0 to x.
For z, the limits of integration depend on the value of y and x. When x is between 0 and y, and y is between 0 and 1, the limits of z are from 0 to 1 - x - y. When x is between y and 1, and y is between 0 and x, the limits of z are from 0 to 1 - x - y.
Therefore, the triple integral for F(x, y, z) over the region D with order of integration dy dz dx is:
∫∫∫ F(x, y, z) dy dz dx
x=0 to 1
y=0 to x
z=0 to 1-x-y
(b) dx dy dz:
In this order of integration, we integrate with respect to x first, then y, then z.
The limits of integration for z are from 0 to 1.
For y, the limits of integration depend on the value of z. When z is between 0 and 1 - x - y, the limits of y are from 0 to 1 - x - z. When z is between 1 - x - y and 1 - x, the limits of y are from 0 to x + y - 1.
For x, the limits of integration depend on the value of y and z. When z is between 0 and 1 - x - y, and y is between 0 and 1 - x - z, the limits of x are from 0 to 1 - z. When z is between 1 - x - y and 1 - x, and y is between 0 and x + y - 1, the limits of x are from y to 1 - z.
Therefore, the triple integral for F(x, y, z) over the region D with order of integration dx dy dz is:
∫∫∫ F(x, y, z) dx dy dz
z=0 to 1
y=0 to 1-z
x=y to 1-z
(c) dz dx dy:
In this order of integration, we integrate with respect to z first, then x, then y.
The limits of integration for y are from 0 to 1.
For x, the limits of integration depend on the value of y. When y is between 0 and x, the limits of x are from 0 to y. When y is between x and 1, the limits of x are from 0 to 1 - y.
For z, the limits of integration depend on the value of x and y. When y is between 0 and x, and x is between 0 and 1, the limits of z are from 0 to 1 - x - y. When y is between x and 1, and x is between 0 and 1, the limits of z are from 0 to 1 - y.
Therefore, the triple integral for F(x, y, z) over the region D in the order of integration dz dx dy is:
∫∫∫ F(x, y, z) dz dx dy
where the limits of integration are:
0 ≤ z ≤ 1 - x - y
0 ≤ x ≤ y
0 ≤ y ≤ 1
So, we can write:
∫∫∫ F(x, y, z) dz dx dy = ∫₀¹ ∫₀¹-y ∫₀¹-x-y F(x, y, z) dz dx dy
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The question is -
Evaluate the function, F ( x, y, z ) over the region D, a tetrahedron with vertices ( 0, 0, 0 ), ( 1, 1, 0 ), ( 0, 1, 0 ), and ( 0, 1, 1 ). Set up the appropriate triple integral if the order of integration is, (a) dy dz dx. (b) dx dy dz. (c) dz dx dy. Which one is different?
The original price of a jar of paint is $1.20.The store manager gets a 10% discount for 50 jars of paint. How much does the store manager pay for 50 jars of paint?
Answers
Step-by-step explanation:
10 % off means you pay 90 %
the price of 50 jars times 90 % is:
50 * 1.20 * .90 = $ 54.00
How is decomposing a composite
figure to find its area similar to using a net to find the
surface area of a trapezoidal prism? Explain.
I
Answers
The processes of decomposing a composite figure and using a net to find the surface area of a trapezoidal prism both require a solid understanding of these basic geometric concepts.
What is the surface area of a trapezoidal prism?Decomposing a composite figure involves breaking it down into simpler shapes whose individual areas can be calculated, and then adding them up to find the total area of the figure.
Similarly, using a net to find the surface area of a trapezoidal prism involves unfolding or flattening the 3D shape into 2D shapes that can be measured and the entire surface area by adding them all together.
Additionally, both methods rely on basic geometric principles and formulas, such as the area of a rectangle, triangle, or trapezoid.
Therefore, the process of decomposing a composite figure and using a net to find the surface area of a trapezoidal prism both require a solid understanding of these basic geometric concepts.
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The given question is incomplete. the complete question is given below:
Higher ordered thinking How is decomposing a composite
figure to find its area similar to using a net to find the
surface area of a trapezoidal prism? Explain.
I
The cone of the volcano has a height of 418 meters and a diameter of 434 meters. Find the volume of the cone. Round your answer to the nearest hundred thousand. Use 3.14 for π.
Answers
First, we need to find the radius of the cone. The diameter is given as 434 meters, so the radius is half of that:
radius = 434/2 = 217 meters
Next, we can use the formula for the volume of a cone:
V = (1/3)πr^2h
where r is the radius and h is the height.
Plugging in the values we have:
V = (1/3)π(217)^2(418)
V ≈ 41,796,778.5
Rounding to the nearest hundred thousand, we get:
V ≈ 41,800,000
Therefore, the volume of the cone is approximately 41,800,000 cubic meters.
PLEASE HELP I NEED HELP
Question 1
(Comparing Data LC)
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?
IQR, because Sunny Town is skewed
IQR, because Desert Landing is symmetric
Range, because Sunny Town is skewed
Range, because Desert Landing is symmetric
Question 2
(Comparing Data MC)
The data given represents the number of gallons of coffee sold per hour at two different coffee shops.
Coffee Ground
1.5 20 3.5
12 2 5
11 7 2.5
9.5 3 5
Wide Awake
2.5 10 4
18 4 3
3 6.5 15
6 5 2.5
Compare the data and use the correct measure of center to determine which shop typically sells the most amount of coffee per hour. Explain.
Wide Awake, with a median value of 4.5 gallons
Wide Awake, with a mean value of about 4.5 gallons
Coffee Ground, with a mean value of about 5 gallons
Coffee Ground, with a median value of 5 gallons
Question 3
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru is able to estimate their wait time more consistently and why?
Burger Quick, because it has a smaller IQR
Burger Quick, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range
Question 4
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10,16,20, and 28. There are two dots above 8 and 14. There are three dots above18. There are four dots above 12. The graph is titled Bus 14 Travel Times.
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 47, with an IQR of 8
Bus 14, with an IQR of 6
Bus 47, with a range of 8
Bus 14, with a range of 6
Question 5
The data given represents the height of basketball players, in inches, on two different girls' teams.
Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Champs
62 69 65
68 60 70
70 58 67
66 75 70
69 67 60
Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Champs, with a mean of about 66.4 inches
The Allstars, with a median of about 68 inches
The Champs, with a median of about 67 inches
Question 6
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Bay Side School Seaside School
8, 6, 5 0 5, 8
8, 6, 5, 4, 2, 0 1 0, 1, 2, 5, 6, 8
5, 3, 2, 0, 0 2 5, 5, 7, 7, 8
3 0, 6
2 4
Key: 2 | 1 | 0 means 12 for Bay Side and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
1. IQR, because Sunny Town is skewed 2. Both coffee shops typically sell the same amount of coffee per hour. 3. Burger Quick is able to estimate their wait time more consistently than Super Fast Food, since it has a smaller IQR.
What is IQR?The middle 50% of a dataset are represented by the interquartile range (IQR), a measure of variability. It is computed as IQR = Q3 - Q1, where IQR is the difference between the first and third quartiles (Q1 and Q3). The dataset is divided into four equal portions by quartiles, with Q1 standing for the 25th percentile and Q3 for the 75th percentile. The IQR is an effective tool for comparing the spread of datasets since it is a robust measure of variability that is unaffected by extreme values or skewness.
To determine the location with the most consistent temperature use IQR, since it is the best way to compare the consistency of temperature readings between the two sites.
2. The mean is:
(1.5 + 20 + 3.5 + 12 + 2 + 5 + 11 + 7 + 2.5 + 9.5 + 3 + 5) / 12 = 6.25
Arrange the values in order: 1.5, 2, 3, 3.5, 5, 7, 9.5, 11, 12, 20
The middle two values are 7 and 9.5.
The median is (7 + 9.5) / 2 = 8.25
Thus, we can conclude that both coffee shops typically sell the same amount of coffee per hour.
3. Super Fast Food:
IQR of 7.5 (15.5 - 8.5) and a range of 24 (27 - 3)
Burger Quick:
IQR of 15 (24 - 9.5) and a range of 28 (30 - 2).
Burger Quick is able to estimate their wait time more consistently
than Super Fast Food, since it has a smaller IQR.
4. Bus 47 :
IQR of 8 (16 - 8) and a range of 24 (28 - 4)
Bus 14:
IQR of 6 (18 - 12) and a range of 18 (28 - 10).
Hence, Bus 14 is the most consistent, since it has a smaller IQR.
5. For the Allstars, the mean is:
(73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15 = 67.
The Champs, with a median of about 67 inches
6. For the given data:
Median = (5 + 5) / 2 = 5
The measures of center for Bay Side School and Seaside School are both 5.
B: Range = 8 - 0 = 8.
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The point (4, -12) is on a circle with center (-2,-4). Write the standard equation of the circle.
(x ?)² + (y ?)² =
Answers
the standard equation of the circle is (x + 2)² + (y + 4)²= 100 . we can use The standard equation of a circle with center (h,k) and radius r is:
(x - h)² + (y - k)² = r²
what is standard equation of circle ?
The standard equation of a circle with center (h,k) and radius r where (x,y) are the coordinates of any point on the circle. This equation represents all the points in the plane that are a fixed distance (the radius r) from the center of the circle (h,k).
In the given question,
The standard equation of a circle with center (h,k) and radius r is:
(x - h)² + (y - k)² = r²
In this case, we know that the point (4, -12) is on a circle with center (-2, -4). We also know that the radius of the circle is the distance between the center and the point on the circle, which we can find using the distance formula:
r = √((4 - (-2))² + (-12 - (-4))²)
r = √(6² + (-8)²)
r = √(100)
r = 10
So the equation of the circle is:
(x - (-2))² + (y - (-4))² = 10²
(x + 2)² + (y + 4)² = 100
Therefore, the standard equation of the circle is:
(x + 2)² + (y + 4)²= 100
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true or false. determine if the following statements are true or false, and explain your reasoning. if false, state how it could be corrected. a. if a given value (for example, the null hypothesized value of a parameter) is within a 95% confidence interval, it will also be within a 99% confidence interval. b. decreasing the significance level ($\alpha$) will increase the probability of making a type 1 error. c. suppose the null hypothesis is p
Answers
Answer:
True
Step-by-step explanation:
The following parts can be answered by the concept of confidence interval.
a. True
b. False
c. Incomplete statement, please provide complete statement.
a. True. A 95% confidence interval includes the range of values that are consistent with the observed data at the 95% level of confidence. Since a 99% confidence interval is wider than a 95% confidence interval, it must also include the null hypothesized value within it.
b. False. Decreasing the significance level ($\alpha$) reduces the probability of making a type 1 error, as it sets a higher threshold for rejecting the null hypothesis.
c. The statement is incomplete, and therefore cannot be evaluated.
Therefore, if a given value is within a 95% confidence interval, it will also be within a 99% confidence interval. However, decreasing the significance level ($\alpha$) reduces the probability of making a type 1 error. It is important to provide a complete statement for proper evaluation
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lottery: every day, jorge buys a lottery ticket. each ticket has a probability of 0.2 of winning a prize. after seven days, what is the probability that jorge has won at least one prize? round your answer to four decimal places.
Answers
The probability after seven days of buying a lottery that Jorge would have at least one prize is 0.9364, rounded to four decimal places.
The question suggests that the probability of winning a prize on a single lottery is 0.2. This means that the probability of not winning a prize on that ticket is 0.8. This is because the probability is a total sum of 1. Hence, probability of not winning the prize:
1 - 0.2 = 0.8.
If Jorge has bought the tickets consistently, the probability would be multiplied the specific times. Therefore, the probability of not winning a prize on that ticket after seven days is equal to (0.8)⁷. Now the probability of winning a prize after seven days would be:
1 - (0.8)⁷ = 0.9364.
Therefore, the probability that Jorge has won at least one prize after seven days of buying lottery tickets is 0.9364 rounded to four decimal places.
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CAN SOMEONE PLEASE HELP!!!!
A family is filling up a circular pool. The pool has a depth of 6 feet and a diameter of 10 feet. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water will it take to fill up the pool completely? Use π = 3.14 and round to the nearest gallon.
63 gallons
471 gallons
1,409 gallons
3,523 gallons
Answers
Answer:
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height. Since the pool is a cylinder with a diameter of 10 feet, the radius is 10/2 = 5 feet, and the height is 6 feet. Therefore, the volume of the pool is:
V = πr^2h
V = π(5^2)(6)
V = 471 cubic feet
Multiplying the volume by the conversion factor of 7.48 gallons per cubic foot gives the number of gallons of water required to fill the pool completely:
471 cubic feet x 7.48 gallons per cubic foot ≈ 3,523 gallons
Rounding to the nearest gallon, the answer is 3,523 gallons. Therefore, it will take approximately 3,523 gallons of water to fill up the pool completely.
EREGENT PLEASE HURRY DONT LIE
Answers
(32 ÷ (10 - 8)) ÷ (2 - 3) + 3
Let's break it down:
First, we group the division by (10 - 8) using parentheses:
32 ÷ (10 - 8) - 8 ÷ 2 - 3
Next, we simplify the expression inside the parentheses:
32 ÷ 2 - 8 ÷ 2 - 3
Then, we simplify the division by 2:
16 - 4 - 3
Next, we subtract 4 from 16 and simplify further:
12 - 3
Finally, we add 3 to get:
9
However, this value is not equal to 5. To make the value equal to 5, we need to add a set of parentheses and modify the expression further:
(32 ÷ (10 - 8)) ÷ (2 - 3) + 3
= (32 ÷ 2) ÷ (2 - 3) + 3 // Group the division by 10 - 8 inside the parentheses
= 16 ÷ (-1) + 3 // Simplify 2 - 3 to -1
= -16 + 3 // Simplify 16 ÷ (-1) to -16
= -13 // Simplify -16 + 3 to -13
Now the value of the expression is -13, which is not equal to 5. To make it equal to 5, we can multiply the entire expression by -1:
-(32 ÷ (10 - 8)) ÷ (2 - 3) - 3
= -(-16) ÷ (-1) - 3 // Apply the multiplication by -1
= 16 ÷ (-1) - 3
= -16 - 3
= -19
Now the value of the expression is -19, which is not equal to 5 either. Therefore, it is not possible to create an expression that includes a set of parentheses so that the value of the expression is 5 using the given expression.
solve the following initial-value problems starting from y0 = 6 . dy/d t = − 6y a. y = ____
at what time does y increase to 100 or drop to 1? round your answer to four decimal places.
b. t = ____
Answers
y increases to 100 after approximately 1.9611 time units and drops to 1 after approximately 0.1155 time units. Rounded to four decimal places, the answers are:
a. y = 100 at t = 1.9611
b. y = 1 at t = 0.1155
This is a first-order differential equation with a variable separable form:
dy/y = -6 dt
Integrating both sides, we get:
ln|y| = -6t + C
where C is the constant of integration. Solving for y, we get:
y = Ce^(-6t)
Using the initial condition y(0) = y0 = 6, we get:
6 = Ce^(0)
C = 6
Therefore, the equation for y is:
y = 6e^(-6t)
To find the time at which y increases to 100 or drops to 1, we solve for t:
For y = 100:
100 = 6e^(-6t)
e^(-6t) = 100/6 = 50/3
-6t = ln(50/3)
t = -ln(50/3)/6
For y = 1:
1 = 6e^(-6t)
e^(-6t) = 1/6
-6t = ln(1/6) = -ln(6)
t = ln(6)/6
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a coin is tossed 8 times which of the following represents the probability of the coin landing on heads all 8 times
Answers
Answer:
Probability = 1/256
Step-by-step explanation:
We Know
A coin has two faces, so there are two possible outcomes for every toss (head or tail); the sample space for a coin tossed 8 times is [tex]2^{8}[/tex] = 256
Landing on heads all 8 times is just one of the possible outcomes: 1
So, the probability is 1/256
1/2(x-3)(x+5) Find the vertex and write it as an ordered pair
Answers
The vertex of the parabola is (-2, -3/2).
First, let's expand the given expression:
[tex]1/2(x-3)(x+5) = 1/2(x^2 + 2x - 15)[/tex]
Now, we can see that the coefficient of[tex]x^2[/tex] is positive, which means the parabola opens upwards.
To find the vertex, we can use the formula:
Vertex = (-b/2a, f(-b/2a))
where a = 1/2, b = 2, and f(x) =[tex]1/2(x^2 + 2x - 15).[/tex]
Substituting the values, we get:
Vertex = (-2/(21/2), f(-2/(21/2))) = (-2, f(-2))
To find f(-2), we can substitute x = -2 in the expression for f(x):
f(x) = [tex]1/2(x^2 + 2x - 15)[/tex]
f(-2) = [tex]1/2((-2)^2 + 2(-2) - 15)[/tex]
= 1/2(-3)
= -3/2
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1)Write down the quadrants of given points ? (-7,-4)
2) IF X-1/4 =4, prove that (x+1/x)² =20
Answers
Answer:
1)The given point (-7,-4) is located in the third quadrant of the coordinate plane.We start with the given equation:X - 1/4 = 4Adding 1/4 to both sides, we get:X = 4 + 1/4X = 17/4Now, we substitute this value of X in the expression to be proved:(x + 1/x)² = [(17/4) + 1/(17/4)]²= [(17/4) + 4/17]²= [(289 + 16)/(4 x 17²)]²= (305/289)²= 20.06 (rounded to two decimal places)Therefore, we have proved that (x + 1/x)² = 20.
Step-by-step explanation:
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help asappp will give brainliest !!!!!!!!!!!!
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The surface area of the figure when d = 2cm is 3.14 cm².
How to find the surface area
To find the surface area of a circle with a diameter of 2 cm, we can first begin by using the formula: A = πr².
Next, we note that the diameter radius is the diameter divided by 2. So, 2 cm divided by 2 equals 1 cm. Plugging this into the equation, we will have the following:
A = 3.14 * 1²
So, surface area = 3.14 cm² when rounded to the nearest hundredth centimeter.
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My sister is 11 years old. My brother says that his age minus nineteen is equal to my sister's age. How old is my brother? Enter an equation, using b as your variable, to find how old my brother is. The equation is My brother is years old.
Answers
Answer:
He would be 28
Step-by-step explanation:
You would add the 11 plus the 17 and you should get 28.To check your answer, you would now subtract the 17 from the 28.Your answer should be 11.PLEASE HELP!! Puzzle One
Determine the volume of the following cylinders with the given dimensions. To break the code, substitute your answers in for the correct letters. Make sure to follow the order of operations! Round your answers to the hundredth place. Use 3.14 for an approximation for pi.
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Therefore, the value of Code is 3954.076 and volumes of cylinders are: A)1539.38 cubic meters B)2892.8 cubic feet C)2712.96 cubic inches D)111.304 cubic inches.
What is volume?Volume is the measure of the amount of space that a three-dimensional object occupies. It is often measured in cubic units such as cubic meters, cubic feet, or cubic centimeters. The volume of an object can be determined by multiplying its length, width, and height (or depth) together, or by using specific formulas for the shape of the object.
Here,
A) Volume of cylinder = πr²h
= 3.14 x (15/2)² x 7
= 1539.38 cubic meters
B) Volume of cylinder = πr²h
= 3.14 x 8² x 14.4
= 2892.8 cubic feet
C) Volume of cylinder = πr²h
= 3.14 x 6² x 24
= 2712.96 cubic inches
D) Volume of cylinder = πr²h
= 3.14 x 2² x 8.9
= 111.304 cubic inches
Code = (2892.8 + 2712.96) - (111.304 + 1539.38)
Code = 5604.76 - 1650.684
Code = 3954.076
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the purpose of sampling is to select a set of elements from a population so that the descriptions of the sample accurately portray the population. this is best achieved through the use of
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The purpose of random sampling is to select a set of items from a population such that the sample description accurately represents the population.
Random sampling is a type of sampling in which the researcher randomly selects a subset of participants from a population. Each member of the population has an equal chance of being selected. Data is then collected from as high a percentage of this random subset as possible. Simple random sampling selects a smaller group (sample) from a larger group of the total number of participants (population).
Samples are at the heart of survey research. It is often called the population microcosm, and the process of drawing a sample should maximize the similarity of the sample to the population under study. Sampling is therefore the selection of a set of elements from a population whose description accurately describes the parameters of the total population from which the sample is selected.
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8. true or false: the population parameter will always be between the lower and upper bounds of the confidence interval. 9. true or false: the sample statistic will always be between the lower and upper bounds of the confidence interval.
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The population parameter will always be between lower and upper bounds of the confidence interval. - True, whereas sample statistic will always be between lower and upper bounds of the confidence interval - False
With a certain degree of certainty, the population parameter is anticipated to lie between the lower and higher limits of the confidence interval. The confidence interval, which gives an interval estimate of the unidentified population parameter, is created based on the sample data. The interval's level of confidence shows the amount of ambiguity we are prepared to accept when determining the actual population parameter.
The confidence interval's lower and upper limits may or may not be met by the sample statistic used to compute them. A single point estimate, the sample figure is susceptible to sampling error. On the other hand, based on the observed sample data and the selected degree of confidence, the confidence interval is a range of values that we can be fairly confident includes the true population parameter.
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A group of students were surveyed to find out if they like watching television or reading during their free time. The results of the survey are shown below:
90 students like watching television
20 students like watching television but do not like reading
80 students like reading
40 students do not like watching television
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both watching television and reading? Show your work. (5 points)
Part B: What is the probability that a student who does not like watching television also does not like reading? Explain your answer. (5 points)
Answers
Solution for Part A: 10.53% of the total students surveyed like both watching television and reading. Solution for part B: all the students who do not like watching TV, 67% of them also do not like reading.
The probability that the students who do not like watching TV, 67% of them also do not like reading. We can calculate it in the following manner.
To create a two-way table, we can use the information given in the survey:
Watching TV Not Watching TV Total
Reading 20 60 80
Not Reading 70 40 110
Total 90 100 190
Part A:
To find the percentage of students who like both watching television and reading, we look at the number of students who like watching TV and reading, which is 20, and divide it by the total number of students surveyed, which is 190. Then, we multiply the result by 100 to express it as a percentage:
(20/190) x 100 = 10.53%
Therefore, 10.53% of the total students surveyed like both watching television and reading.
Part B:
To find the probability that a student who does not like watching television also does not like reading, we look at the number of students who do not like watching TV and do not like reading, which is 40, and divide it by the total number of students who do not like watching TV, which is 40 + 20 = 60.
Therefore, the probability that a student who does not like watching television also does not like reading is:
40/60 = 2/3 or 0.67
This means that out of all the students who do not like watching TV, 67% of them also do not like reading.
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Note that A, B, C, and D are single decimal digits (from 0 through 9), although they don't have to be
unique (e.g., B and D could be equal). AB is then a two-digit decimal integer, BA is its reverse, and
CDC is a three-digit decimal number
Answers
A and B can have values that would give a sum of 11 when they are added together, such as (2,9), (3,8), (4,7), and (5,6).
Here, it is evident that since
AB+ BA= CDC
the hundreds and ones digit of the answer are equal and since we are talking about 2 digit numbers, hundreds place C can only be 1 since it is obtained from carry of the tens place (B+A) and the maximum carry that a 2 digit number can give is 1 (99+99 gives carry 1).
Also, D must be equal to C+1 since it is obtained by B+A and carry of ones place.
C=A+B= 1
D=C+1= 2
The possible values of A and B can be the ones that result in 11 when added, i.e. (2,9),(3,8),(4,7) and (5,6).
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Complete question is attached below
Which of the following errors did you include in
your description?
Raul should have first removed the innermost
grouping symbols, the parentheses, by
distributing 7h.
He should not have added like terms before
multiplying.
Raul only multiplied the 10h times the 2 and
forgot to multiply it through the quantity to the
-h.
DONE
Answers
The error you include in is: You only multiplied the 10h times the 2 and forgot to multiply it through the quantity to the -h.
What are the errors?
1. Raul should have first removed the innermost grouping symbols, the parentheses, by distributing 7h: In the original problem, Raul added the terms inside the parentheses before multiplying them by 7h, which is incorrect. To simplify the expression correctly, Raul should have first distributed 7h to both terms inside the parentheses, and then combined like terms.
2. He should not have added like terms before multiplying: Raul also made the mistake of adding the like terms 10h and -2h before multiplying them by 7h. It is important to perform all multiplication and division operations before addition and subtraction operations.
3. Raul only multiplied the 10h times the 2 and forgot to multiply it through the quantity to the -h: In the original problem, Raul correctly multiplied 7h by -2h to get -14h², but made the mistake of only multiplying 10h by 2, rather than multiplying the entire quantity (2h - 5) by 10h. This mistake led to the incorrect term 20h in Raul's final answer.
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!!HELP!!
12x^5+24x^4+27x^3 Name the polynomial by number of terms.
A. Binomial
B. 6 Term Polynomial
C. Trinomial
D. Monomial
Answers
Answer
the answer is a 6 Term polynomial
artificial turf is being used to cover a playing field. if the field is rectangular with a length of 120 yd and a width of 80 yd, how much artificial turf must be purchased to cover the field?
Answers
You need to purchase 9,600 square yards of artificial turf to cover the playing field.
To find out how much artificial turf must be purchased to cover the field, you need to calculate the area of the rectangular field. Here's a step-by-step explanation:
1. Note the length and width of the field: Length = 120 yards, Width = 80 yards.
2. Calculate the area by multiplying the length and width: Area = Length × Width.
3. Plug in the given dimensions: Area = 120 yd × 80 yd.
4. Calculate the result: Area = 9,600 square yards.
Therefore, you need to purchase 9,600 square yards of artificial turf to cover the playing field.
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Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly. Show work.
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Answer:
Step-by-step explanation:
[tex]P(\text{even})=\frac{3}{6} =\frac{1}{2}[/tex]
[tex]P(5)=\frac{1}{6}[/tex]
The events are on different rolls which means they are mutually exclusive, so we multiply them:
[tex]P(\text{even on roll 1, a 5 on roll 2})=\frac{1}{2} \times \frac{1}{6} =\frac{1}{12}[/tex]
Answer:
the probability of getting even number on first roll and 5 in second roll is 1/12
Step-by-step explanation:
the source, format, assumptions and constraints, and other facts concerning certain data are called .
Answers
The source, format, assumptions and constraints, and other facts concerning certain data are collectively called 'metadata'.
Metadata provides information about data that helps users understand and use it effectively.
Some examples of metadata include,
The date and time the data was collected.
The file format of the data.
The units of measurement used.
And any assumptions or limitations that were made during the collection or analysis of the data.
By providing metadata along with the data, users can better understand the context and quality of the data.
This can help them make more accurate and informed decisions.
Metadata is classified into three types which are known as descriptive, administrative, and structural.
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2.x and why are 120 M apart M is D midpoint of x and y and object travel from x2m in 12 seconds and then from M to Y at an average speed of 15 M per second find the time taken for the object to travel from M m2y
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The time taken for the object to travel from M to Y is 4 seconds.
To solve this problem, we will first find the distance between points M and Y, and then use the given average speed to find the time taken for the object to travel from M to Y.
Step 1: Find the distance between points M and Y
Since M is the midpoint of X and Y, and X and Y are 120 meters apart, we can find the distance between M and Y by dividing the total distance by 2:
Distance (M to Y) = (Total distance)/2 = 120 meters / 2 = 60 meters
Step 2: Find the time taken for the object to travel from M to Y
We are given the average speed of the object traveling from M to Y as 15 meters per second. We can use the formula: Time = Distance / Speed.
Time (M to Y) = Distance (M to Y) / Average speed = 60 meters / 15 meters per second = 4 seconds.
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