Answer:
(C) -6
Step-by-step explanation:
Given the following data;
Points on the graph (x1, y1) = (1, -9).
Mathematically, the equation of a straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
To find the zero of the linear function f, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - (-9) = -3(x - 1)
y + 9 = -3x + 3
y = -3x + 3 - 9
y = -3x -6 = mx + c
Intercept (c) or zero of a function = -6
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 11 inches, and the length of the base is 6 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
The perimeter of the considered isosceles triangle is 28.8 in. approx.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Considering the attached image below, which has same isosceles triangle with same measurements, we see that:
|AC| = |AB| (because perpendicular dropped leaves two congruent triangles in ABC, as ADC and ADB)
similarly, we have:
|BD| = |DC|
But |BC| = 6 = |BD| + |DC|,
Thus, 6 = |BD| + |DC| = |BD| + |BD| =2|BD|
|BD| = 6/2 = 3 inches = |DC|
From Pythagoras theorem for triangle ADB, we get:
[tex]|AB|^2 = |AD|^2 + |BD|^2\\|AB|^2 = 11^2 + 3^2 = 121 + 9 = 130\\|AB| = \sqrt{130} \approx 11.4 \: \rm in. = |AC|[/tex]
(positive square root since |AB| is length, which is a non-negative measure).
Thus, we get:
Perimeter of the rectangle = |AB| + |BC| + |AC| ≈ 11.4 + 6 + 11.4 = 28.8 in.
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Gun ownership Concerned about recent incidence of gun violence, a public interest group conducts a poll of 850 randomly selected American adults and finds that 44% of those surveyed have a gun in their home.
a. Construct and interpret a 95% confidence interval for the proportion of all American adults who have a gun in their home.
b. Explain what is meant by 95% confidence in this context.
Answer:
a.
The 95% confidence interval for the proportion of all American adults who have a gun in their home is (0.4066, 0.4734). This means that we are 95% sure that the true population proportions of American adults who have a gun in their home is between these two values.
b.
The confidence level is the probability of the confidence interval containing the population proportion.
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Poll of 850 randomly selected American adults and finds that 44% of those surveyed have a gun in their home.
This means that [tex]n = 850, \pi = 0.44[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.44 - 1.96\sqrt{\frac{0.44*0.56}{850}} = 0.4066[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.44 + 1.96\sqrt{\frac{0.44*0.56}{850}} = 0.4734[/tex]
The 95% confidence interval for the proportion of all American adults who have a gun in their home is (0.4066, 0.4734). This means that we are 95% sure that the true population proportions of American adults who have a gun in their home is between these two values.
b. Explain what is meant by 95% confidence in this context.
The confidence level is the probability of the confidence interval containing the population proportion.
When Bashir commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be shorter than 32 minutes, to the nearest 10th?
A percentage of Bashir's commute that would be shorter than 32 minutes, to the nearest 10th is 50%.
How to determine the required percentage?Mathematically, the z-score of a given sample size or data set can be calculated by using this formula:
Z-score, z = (x - μ)/σ
Where:
x is the sample score.σ is the standard deviation.μ is the mean score.Substituting the parameters into the z-score formula, we have;
Z-score, z = (32 - 32)/3
Z-score, z = 0/3
Z-score, z = 0
Since a commute of 32 minutes on a test has a z-score of 0, the percentage of Bahir's commute that would be shorter than 32 minutes can be calculated as follows:
P(x > 32) = P(z > 0)
P(z > 0) = 0.5
P(z > 0) = 50%.
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At American Eagle a shirt is on sale from 25 to 15 what is the percent of change for the shirt
Answer:
Percent change = 15 - 25/25 × 100% = -10/25 × 100 = -40%
Step-by-step explanation:
Answer:
5 percent
Step-by-step explanation:
divide 25 by5 which gives you percent
2
James has two cans containing biscuit dough. The cans are cylindrical and their dimensions, in inches, are shown below.
8 in
A
B
4 in
H
0.5 in 1 in
Note: Figure is not drawn to scale.
Which of the following statements aboạt the volumes of the cans is true?
OA. The volumes of the two cans are equal.
ОВ.
The volume of can B is half the volume of can A.
C. The volume of can B is four times the volume of can A.
OD
The volume of can A is half the volume of can B.
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Next Question
Answer:
The volume of can A is half the volume of can B.
Step-by-step explanation:
Given
Can A and Can B
Required
The true statement
For Can A, we have:
[tex]h =8[/tex]
[tex]r = 0.5[/tex]
The volume is:
[tex]Volume = \pi r^2h[/tex]
This gives:
[tex]V_A = \pi * 0.5^2 * 8[/tex]
[tex]V_A = \pi * 2[/tex]
[tex]V_A = 2\pi[/tex]
For Can B, we have:
[tex]h =4[/tex]
[tex]r = 1[/tex]
The volume is:
[tex]Volume = \pi r^2h[/tex]
This gives:
[tex]V_B = \pi * 1^2 * 4[/tex]
[tex]V_B = \pi * 4[/tex]
[tex]V_B = 4\pi[/tex]
So, we have:
[tex]V_A = 2\pi[/tex]
[tex]V_B = 4\pi[/tex]
By comparison, (d) is correct
What is the equation of the line that passes through the point (-1,-5) and has a
slope of -3?
Answer:
y=-3x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=-3(x-(-1))
y+5=-3(x+1)
y=-3x-3-5
y=-3x-8
Helen draws a random circle, she then measures the circumference and diameter.
She gets a circumference C of 405mm correct to 2 significant figures
She gets a diameter D of 130mm correct to 2 significant figures
Helen wants to find the value of [tex]\pi[/tex] using the formula [tex]\pi[/tex] = C÷D
Calculate the lower and upper bound for Helens value of [tex]\pi[/tex]
Give your answer correct to 3 decimal places
The value of π can be written with upper and lower limits as -
3.12 ± 0.062.
What are significant figures?Significant figures of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something.
Given is that Helen draws a random circle, she then measures the circumference and diameter. She gets a circumference {C} of 405mm correct to 2 significant figures She gets a diameter {D} of 130mm correct to 2 significant figures.
We can write -
Circumference {C} = (405 ± 2) mm
Diameter {D} = (130 ± 2) mm
The value of π can be calculated as -
π = {C}/{D}
π = (405 ± 2)/(130 ± 2)
Now, divide the numbers without errors first -
405/130
3.12
Now, we will calculate the relative errors in each number -
2/405 = 0.004
2/130 = 0.016
Adding the relative errors -
0.004 + 0.016
0.02
Absolute error = 0.02 x 3.12 = 0.062
The value of π can be written with upper and lower limits as -
3.12 ± 0.062
Therefore, the value of π can be written with upper and lower limits as -
3.12 ± 0.062.
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Solve for x: 3x + 2 < 14 and 2 x-5> -11.
Therefore the value of x is less than 4 when x is in the inequality 3x + 2 < 14 and greater than -3 when x is in the inequality 2 x-5> -11
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. For instance, let's say you have 225 and want to purchase a new bicycle that costs $250.
What is expressions or values?Expressions are carried out, or evaluated, in order to yield a value. In an evaluation process, values of expressions can be employed as components of surrounding expressions.
To solve for x in the inequality 3x + 2 < 14, we can begin by subtracting 2 from both sides to get 3x < 12. Then, dividing both sides by 3 gives x < 4.
To solve for x in the inequality 2 x-5> -11, we can begin by adding 5 to both sides to get 2x> -6, then divide both sides by 2 to get x > -3
So x can be any number greater than -3 and less than 4
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The perimieter of parallelogram ABCD is 86cm. AD is 4cm more than twice AB. Find the length of BC.
Answer: 30
Step-by-step explanation: i’m not sure but my hw says it’s right
please hurry need done asap
Answer:
Third Option!
Step-by-step explanation:
Sorry if i'm wrong :(
Answer:
Third option is the correct answer.
[tex] 2log_{5}x - 2log_{5}4[/tex]
Step-by-step explanation:
[tex] log_{5} \bigg( \frac{x}{4} \bigg) ^{2} \\ \\ = 2log_{5} \bigg( \frac{x}{4} \bigg) \\ \\ = 2log_{5}x - 2log_{5}4[/tex]
Help pleaseeee…
Referring to the figure, find the area of thetrapezoid shown.
Answer:
Hello! answer: 90
Step-by-step explanation:
I split the trapezoid into 2 then did base × height ÷ by 2 cause the way I split it it made 2 triangles
10 × 12 = 120 10 × 6 = 60 120 + 60 = 180 180 ÷ 2 = 90 therefore 90 is our area Hope that HELPS!
For the function f(x) shown below, find the definite integral ∫₀⁶ f?(x)dx
========================================================
Explanation:
The left-most rectangle spans from x = 0 to x = 2. It has base 2 and height 2, which means it has an area of 2*2 = 4 square units. Let A = 4 since we'll use it later.
The middle rectangle goes from x = 2 to x = 4. It has base 2 and height 3 (because it goes from y = 0 to y = -3). The area is B = 2*3 = 6
Draw a vertical line through 6 on the x axis. This forms the final rectangle we need. It has base 2 (because it goes from x = 4 to x = 6) and height 5. The area is C = 2*5 = 10.
The small sliver to the right of x = 6 is ignored completely.
--------------------
Summary so far:
A = 4B = 6C = 10Those represent the areas of the rectangles from left to right. We ignore the portion to the right of x = 6.
Since rectangle B is below the x axis, we treat this as a negative area, or we subtract off this area. The positive areas of rectangles A and C are added.
So,
A-B+C = 4-6+10 = 8 is the final answer
We can write [tex]\displaystyle \int_{0}^{6}f(\text{x})d\text{x} = \boldsymbol{8}[/tex]
What is the period of the function F(x) = -4sec (1/2 x)
A. 4 pi
B. pi
C. pi/2
D. 2 pi
Answer:
A) 4π
Step-by-step explanation:
The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.
Which equation has a solution of k = 6.5?
2x^5 + 4y^12/12x^2 = ?
Solve in simplest form
Answer:
2x^5+y^12*x^2/3
Step-by-step explanation:
Use the diagram to find the indicated angle measures. Please do 1, 2, and 3. Please need ASAP!!!!!!!!!!!!!!! 30 POINTS
The measures of given figures are m∠ADC is 90 degrees and m∠DAC will be 34 degrees
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given m∠B= 57 degrees
m∠c= 51 degrees
segment AD bisects m∠BAC
then m∠ADC we need to find.
As AD is perpendicular to BC, the angle of m∠ADC is 90 degrees.
Given m∠B= 66 degrees
m∠BAD=34 degrees
Now we need to find m∠DAC
m∠DAC will be 34 degrees
Hence, the measures of given figures are m∠ADC is 90 degrees and m∠DAC will be 34 degrees
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How do you round 38 to two decimal places?
Answer:
38.10
38.00
hope this helps
have a good day :)
Step-by-step explanation:
HELP!!!!! In a hurry!
Answer:
C - b = 190x - 10x
Step-by-step explanation:
Mark brainliest
Can anyone pls help I need the answer quickly
Therefore , in response to the given problem of triangle, we can state that the triangles ECD and PQR
Describe the triangle.A triangle is a polygon since it has four segments and three vertices. It is one of the basic geometric forms. The title given to that of a triangle with the vertex A, B, and C is Triangle ABC. A unique planes and trapezoid in Geometric forms are discovered once the three criteria are not collinear. Quadrilateral and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where its three sides converge. 180 degrees is the result of multiplying three triangle angles.
Here,
=> EC = PQ (equal side)
=> CD = PR (equal side)
=> ED = QR (equal side)
as a result, the SSS property compares both triangles.
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20 points!!! What does the perimeter of this figure consist of?
If you need to measure the length of a run of pipe from a house to the water main on the street using metric system, which of the following units would you likely use? A. Centimeters, B. Kilometers, C. Metics D. Millimeters
Answer:
C. meters
Step-by-step explanation:
PLS HELP ILL MARK BRAINLIEST
Answer:
A
Step-by-step explanation:
I need the answer for this please ASAP i give you 30 points after you answer it correctly
Answer:
Sum of all the interior angles = 900°
Each angle ≅ 128.57° (rounded to the nearest hundredth)
Step-by-step explanation:
The sum of the interior angles of a polygon can easily be found by using the following formula...
Sum of all the interior angles = 180°(n - 2)
In that formula "n" equals the number of sides a polygon has so in our case
n = 7
So now we know that the sum of all angels equals...
180°(n - 2) = 180° (7 - 2) = 180° (5) = 900°
From here we can easily find the measure of each angle since there is a rule that states that in a regular polygon all angles are equal to each other, so we just have to divide the sum of all interior angles by the number of interior angles, and so we get...
900° / 7 ≅ 128.57 (rounded to the nearest hundredth).
Find the vertex of the function given below.
y = x^2 - 4x + 1
A. (2,-3)
B. (-2, 13)
C. (4,1)
D. (1,5)
Find the value of x that makes the quadrilateral a parallelogram?
Answer:
5
Step-by-step explanation:
since the sides of parallelogram are parallel
then 3X+3 = 4X-2 (they are equal because they are alternating angles )
3X+3 = 4X-2 subtract 3X from both sides
3 = X-2. add 2 to both sides
X= 5
Answer:
x = 5
Step-by-step explanation:
As the diagonals of a parallelogram bisect each other (divide into two equal parts):
[tex]\implies 2x+1=x+6[/tex]
[tex]\implies 4x-2=3x+3[/tex]
Solve the first equation for x:
[tex]\implies 2x+1-1=x+6-1[/tex]
[tex]\implies 2x=x+5[/tex]
[tex]\implies 2x-x=x+5-x[/tex]
[tex]\implies x=5[/tex]
Solve the second equation for x:
[tex]\implies 4x-2+2=3x+3+2[/tex]
[tex]\implies 4x=3x+5[/tex]
[tex]\implies 4x-3x=3x+5-3x[/tex]
[tex]\implies x=5[/tex]
Therefore, the value of x that makes the quadrilateral a parallelogram is:
x = 5What is 0.3172 rounded to the nearest tenth?
Answer:
0.3172 rounded to the nearest tenth would be 0.3.
This is because you would first look at the number in the tenths place which is 3.
Then you would look to the number to the right to determine if you would round up or down.
If the number in the hundredths place is bellow 5, the number would remain the same, and if it were above 5, it would round up by one number.
If the number were 5, you would look to the number in the thousandths place and then go from there.
Since the number in the hundredths place is 1, then you will ignore the other numbers to the right and, you would have a result of 0.3.
Step-by-step explanation:
Hope it helps! =D
Answer: 0.3171 rounded to the nearest tenth is 0.3.
Step-by-step explanation:
Follow these steps for rounding the decimal number 0.3171 to the nearest tenth (one decimal place):
Find the tenth digit, = 3 in the 0.3171.
Find the digit immediately to the right of the tenth place. If this number is greater than or equal to 5, round up; otherwise, round down.
= 1 in the 0.3171
Because 1 is less than 5, the tenth position digit 3 remains constant.
Remove all digits to the right of the rounding digit and rewrite the number.
As a result, 0.3171 rounded to the nearest tenth is 0.3.
find the distance between the points (4,0) and (-3,4)
Answer:
8.0622
Step-by-step explanation:
A line passes through the origin (−1, 1) and (4, n). Find the value of n.
The line y = - x has a coordinate value of (4, - 4) passing through the origin.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through the origin, (−1, 1) and (4, n).
So, The slope of the line is,
m = (1 - 0)/(- 1 - 0).
m = - 1.
Now,
1 = -1(-1) + b.
b = 0.
y = - x.
At x = 4,
y = - 4.
So, The point (4, n) is (4, - 4).
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QUICK HELP PLEASE!!!!!
HOPE THIS HELPS YOU.HAVE A NICE DAY....
The data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data?
Answer:
Step-by-step explanation:
data protection act
The data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data is a ratio.
What are the different levels scales of measurement?Nominal, Ordinal, Interval, and Ratio are defined as the four fundamental levels of measurement scales that are used to capture data in the form of surveys and questionnaires .
1. Nominal : Nominal scale is a naming scale, where variables are simply “named” or labeled, with no specific order.
2. Ordinal : Ordinal scale has all its variables in a specific order, beyond just naming them.
3. Interval : Interval scale offers labels, order, as well as, a specific interval between each of its variable options.
4. Ratio : Ratio scale bears all the characteristics of an interval scale, in addition to that, it can also accommodate the value of “zero” on any of its variables.
According to the question
The data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data :
As per different levels scales of measurement :
It will be measured by Ratio
As ratio is only which will bear the scale all the characteristics of an interval scale, in addition to that, it can also accommodate the value of “zero” on any of its variables.
Hence, the data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data is a ratio.
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