Step-by-step explanation:
y= -3/3 is equivalent to -1
so y = -1
it located on the negative y-axis
where y= -1
The distribution of weights of pumpkins from a harvest is approximately normal with a mean of 8.3 pounds and a standard deviation of 1.68 pounds. Find the value of the interquartile range (IQR) for the mean of 15 pumpkins. Express the answer as a decimal value rounded to the nearest thousandth.
The value of the interquartile range (IQR) for the mean of 15 pumpkins is approximately 0.585 pounds.
What is mean?
In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.
To find the IQR for the mean of 15 pumpkins, we need to first find the standard error of the mean, which can be calculated using the formula:
SEM = σ / sqrt
where SEM is the standard error of the mean, σ is the standard deviation, and n is the sample size.
Substituting the given values, we get:
SEM = 1.68 / sqrt(15) = 0.433
The interquartile range (IQR) for the mean can be calculated as:
IQR = 1.35 * SEM
where 1.35 is the multiplier for the IQR based on the normal distribution.
Substituting the value of SEM, we get:
IQR = 1.35 * 0.433 = 0.585
Rounding to the nearest thousandth, we get the final answer as:
IQR ≈ 0.585
Therefore, the value of the interquartile range (IQR) for the mean of 15 pumpkins is approximately 0.585 pounds.
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An airplane cruises at an altitude of 35,000 feet. It begins its descent at a rate of 1,200 feet per minute. Find a linear model
in the form h(t) = mt+b where h represents the altitude of the plane, in feet, after t minutes into its descent.
Which measurement is not equal to one mile
Thus, the parking space is longer than length of the truck by 42 inches.
Explain about the unit conversion:The same attribute is expressed using a unit conversion, but in a different measurement equivalent. For instance, time can always be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or another type of measurement unit instead of miles.
Using conversion factors, existing units, and or the fact that a unit of measure cancels out another unit of measure, a unit cancellation table is created.
Given data:
Length of the parking space = 60 feet
Length of truck = 6 yard.
Convert yards in feet
1 yard = 3 feet
Multiply both side by 6.
6*1 yard = 6*3 feet
6 yard = 18 feet
Difference = 60 - 18 = 42 feet.
The parking space is longer than length of the truck by 42 inches.
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Order the following from least to greatest: -1,0.25, 0.15,-0.10.
-1, -0.10, 0.15, 0.25
So, the answer is the way we do it
-1 , -0.1(or 0.10) , 0.15 , and 0.25
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simplify 22 - (-24) + (-32)
Simplify
22 - (-24)
Swap since they are both negatives.
22-(-24) =
22+(24)
22+24
= 46
Which now add in the negative 32 to the problem
46 + (-32)
Recreate the problem to make it more simple:
46 - 32
= 14
It costs $3.50 for 25 fl. oz. of detergent. Which graph models a relationship with the same unit rate? 10 POINTS
The 90 fl. oz. option is a better buy compared to the 25 fl. oz. option.
What are arithmetic operations?Arithmetic operations is a concept that concerns the study of mathematical operations like addition, subtraction, division, and multiplication.
The determination on the type which is a better buy can be estimated by finding the cost of each detergent in the two cases.
To determine which is a better buy, we need to compare the cost per fl. oz. of detergent for both options.
For the first option, the cost is $3.99 for 25 fl. oz., so the cost per fl. oz. is:
Cost per fl. oz. = $3.99 / 25 fl. oz. ≈ $0.16/fl. oz.
For the second option, the cost is $6.99 for 90 fl. oz., so the cost per fl. oz. is:
Cost per fl. oz. = $6.99 / 90 fl. oz. ≈ $0.08/fl. oz.
Since the cost per fl. oz. is lower for the second option, it is a better buy. Therefore, the 90 fl. oz. option is a better buy compared to the 25 fl. oz. option.
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The complete question is:
It cost $3.99 for 25 fl. oz. of detergent or $6.99 for 90 fl. oz. Which is a better buy?
A friend is curious what the probability of it snowing today is. What would the complement of this event be? explain how you would calculate the complement of an event. 
Answer:
Step-by-step explanation:
compliment of an event A is probability of not happening A
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PLEASE IM FAILING AND IM GONNA GET HELD BACK PLEASEPLEASE...Which two ordered pairs represent a proportional relationship? A. (3, 2) and (6, 6) B. (4, 2) and (6, 4) C. (5, 3) and (6, 4) D. (3, 2) and (6, 4)
Answer:
D
Step-by-step explanation:
If you flip the X and Y axis you get the same answer
Dana had an equal number of red beads and yellow beads. After using 500 red beads to make necklaces, she had 3 times as many yellow beads as red beads. How many yellow beads does she have?
Answer:2000
Step-by-step explanation:
Dana has 1500 yellow beads when Dana had an equal number of red beads and yellow beads.
Dana had an equal number of red beads and yellow beads, so let's say she had x red beads and x yellow beads.
After using 500 red beads to make necklaces, she was left with x - 500 red beads.
Since she now had 3 times as many yellow beads as red beads, she had a total of 3 * (x - 500) = 3x - 1500 yellow beads.
We know that the total number of yellow beads is x, so we can set the two expressions equal to each other:
x = 3x - 1500
Solving for x, we get:
2x = 1500
x = 750
Therefore, Dana had x = 750 yellow beads.
Since she now has 3 times as many yellow beads as red beads, she has a total of 3 * 750 = 1500 yellow beads.
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As a salesperson at Trading Cards Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sells $400 worth of merchandise in one month, he is paid $384. If he sells $700 of merchandise in one month, he is paid $447.
Step-by-step explanation:
As a salesperson at Trading Cards Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sells $400 worth of merchandise in one month, he is paid $384. If he sells $700 of merchandise in one month, he is paid $447.
Answer:
Step-by-step explanation:
To solve this problem, we can set up a system of two equations with two variables. Let x be Justin's base pay for the month and y be the commission rate he receives for each dollar of merchandise sold. Then we have:
400y + x = 384 (equation 1)
700y + x = 447 (equation 2)
To solve for x and y, we can use the method of substitution. Solving equation 1 for x, we get:
x = 384 - 400y
Substituting this expression for x into equation 2, we get:
700y + (384 - 400y) = 447
Simplifying and solving for y, we get:
300y = 63
y = 0.21
Substituting this value of y into equation 1, we can solve for x:
400(0.21) + x = 384
x = 304.80
Therefore, Justin's base pay for the month is $304.80 and he receives a commission of 21% on all merchandise sold.
12a+14=302
♀️♀️♀️♀️♀️♀️
Answer
a=24
Step-by-step explanation:
12 times 24 equals 288 plus 14 equals 302
Write a quadratic function in standard form that models the table. X -5 -3 -1 13 y 0 12 12 16 12 0
Answer:
First, we need to find the quadratic function that models the given table. We know that a quadratic function has the form: y = ax^2 + bx + c where a, b, and c are constants to be determined. To find these constants, we need to use the values in the table. When x = -5, y = 0, we get: 0 = a(-5)^2 + b(-5) + c 0 = 25a - 5b + c When x = -3, y = 12, we get: 12 = a(-3)^2 + b(-3) + c 12 = 9a - 3b + c When x = -1, y = 12, we get: 12 = a(-1)^2 + b(-1) + c 12 = a - b
3. The ASHI Standard of Practice requires a home inspector to inspect
Safety glazing
Porches and railings
Children's play structures
Fences and gates around pools
A home inspector must examine porches and railings in accordance with the ASHI (American Society of Home Inspectors) Standard of Practice. So, B is the right answer.
Explain ASHI?The American Society of Home Inspectors is known as ASHI. It is a non-profit company with its main office in Des Plaines, Illinois, and it was established in 1976.
ASHI's major objective is to advance professionalism in the home inspection industry by establishing and upholding high standards for its members. Home inspectors can get education, training, and certification from ASHI. Members are also obliged to abide by the organisation's Code of Ethics and Standards of Practice. The minimal requirements for a house inspection are outlined in the Standards of Practice, along with the inspector's obligations to the client.
A home inspector must examine porches and railings in accordance with the ASHI (American Society of Home Inspectors) Standard of Practice.
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solve the Systens of equations
x+y-z =3
4x-y+z=-13
x-3y+2z=-28
As a result, the system of equations has the following solution: x=-2,y=16,z=11.
In order to resolve the equation system:
x + y - z = 3
x - 3y - 2z = -28 and 4x - y + z = -13
The elimination strategy can be used to find the values of x, y, and z. In order to remove z, we can first add the first and second equations:
3 - 13x + y - z + 4x - y + z
Define elimination method?A approach for solving systems of linear equations is the elimination method. The addition method is another name for it. We change an equation system so that one variable "cancels out" in order to solve it by elimination. In this approach, one of the variables is removed by adding or subtracting from the equations. After removing one variable, we can find a solution for the remaining one.
When we simplify this equation, we obtain:
5x = -10
When we multiply both sides by 5, we get:
x = -2
Knowing x now allows us to solve for y by substituting it into the first equation:
-2 + y - z = 3
When we simplify this equation, we obtain:
y - z = 5
In order to solve for z, we may now enter x and y into the third equation:
-2 - 3y + 2z = -28
When we simplify this equation, we obtain:
-3y + 2z = -26
by replacing y - z = 5 to this equation gives us:
-3y + 2(y - 5) = -26
When we simplify this equation, we obtain:
-y - 10 = -26
To both sides of the equation, add 10, and we get:
-y = -16
Adding -1 to both sides gives us:
y = 16
Knowing x and y now allows us to solve for z by substituting them into the first equation:
-2 + 16 - z = 3
When we simplify this equation, we obtain:
z = 11
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A graph of a function f(x) undergoes a sequence of transformations to form a new function f(x)= -2f(x+6)-8, which transformation are part of the sequence?
Chose all that apply
A.) f(x) reflected over x-axis
B.) f(x) reflected over y-axis
C.) f(x) stretched vertically
D.) f(x) stretched horizontally
E.) f(x) shifted right 6 units
F.) f(x) shifted down 8 units
What kind of triangle whose sides are 53,28,45.
So, the given triangle is a scalene right triangle.
what is triangle ?
With three consecutive sides and three angles, a triangle is an enclosed plane shape. It is one of the fundamental geometric shapes and is frequently used in physics, maths, and engineering. A triangle's total angles are always 180 degrees. Triangles come in a variety of shapes, such as equilateral triangles, which have three equal sides and angles, isosceles triangles, which have two equal sides and angles, and scalene isosceles (all sides and angles are different).
To determine the type of triangle based on the given side lengths, we can use the following rules:
If all three sides are equal, it's an equilateral triangle.
If two sides are equal, it's an isosceles triangle.
If all three sides are different, it's a scalene triangle.
We can also use the Pythagorean theorem to determine if the triangle is a right triangle. According to this theorem, in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side.
Let's check the sides of the given triangle using these rules:
The three sides are different, so it's a scalene triangle.
To check if it's a right triangle, we can find the longest side (53) and see if it satisfies the Pythagorean theorem with the other two sides. Using a calculator, we find that [tex]28^2 + 45^2 = 784 + 2025 = 2809[/tex], and [tex]53^2 = 2809.[/tex]Therefore, the triangle is a right triangle.
So, the given triangle is a scalene right triangle.
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Help guys small math problem PLEASE ASAP !!
Step-by-step explanation:
F'(x) = f(x + h)² - 5(x + h) + 3 - (x² - 5x + 3)
---------------------------------------------------
h
F'(x) = x² + 2xh + h² - 5x - 5h + 3 - x² + 5x - 3
--------------------------------------------------------
h
F'(x) = 2xh + h² - 5h
-----------------------
h
F'(x) = h(2x + h - 5)
----------------------
h
F'(x) = 2x + h - 5
Lim
h---0
= 2x + 0 - 5
= 2x - 5
what is the missing polynomial?
The missing polynomial is 40 - 4x - 12x²
How to find the missing polynomialThe missing polynomial is solved by comparing the polynomials as done below
? - (20 - 4x - 5x²) = 20 - 7x²
? = 20 - 7x² + (20 - 4x - 5x²)
comparing the terms
constant terms: 20 + 20 = 40
x terms : -4x
x² terms : -7x² - 5x² = -12x²
This can be combined as 40 - 4x - 12x²
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10.08 is what percent of 56?
Answer: 18%
Step-by-step explanation:
Answer:
18%
Step-by-step explanation:
To find what percent 10.08 is of 56, we can use the following formula:
[tex]p=\frac{x * 100}{y}[/tex]
where x is 10.08 and y is 56:
[tex]p = \frac{10.08 * 100}{56}[/tex]
which p is 18%
Factor x2y – 3xy – 40y.
A sample of size n=77 is drawn from a population whose standard deviation is σ=50.
Find the margin of error for a 90% confidence interval for μ.
If we take multiple samples of the same size and calculate their means, 90% of the resulting sample which is 69.3 means will fall within 9.02 units of the true population mean for standard deviation.
The following formula must be used to determine the margin of error for a 90% confidence interval for the population mean ():
Margin of error = [tex]z * (/n)[/tex].
where is the population standard deviation, n is the sample size, and z is the critical value from the standard normal distribution with a 90% confidence level.
The matching z-value is 1.645 because a 90% confidence interval is what we are looking for. Thus, the margin of error can be determined as follows:
Margin of error: (50 / 77) / 1.645 = 9.02
This indicates that 90% of the sample means obtained when calculating the means of several samples of equal size will be within 9.02 units of the actual population mean.
It is significant to remember that the margin of error lowers with sample size and rises with confidence level. A bigger sample size in this situation would lead to a smaller margin of error, whereas a greater confidence level would lead to a larger margin of error.
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Discount questions…..
Mr Leonard will receive a discount of £45.84 on his oil purchase.
How is discount calculated?We must first determine the entire amount of oil Mr. Leonard intends to buy in order to determine the discount he will receive.
There are currently 450 liters in the tank, which has a capacity of 1200 liters. Therefore, Mr. Leonard needs to buy an extra 750 liters (1200 - 450 = 750).
The total cost of the oil before the discount must then be determined.
With a litre costing 81.5p, the price for 750 liters of oil would be:
750 liters x 81.5 pence per liter = £611.25.
We must multiply the entire cost of the oil by the discount rate (7.5 percent, or 0.075), in order to determine the discount:
£611.25 x 0.075 = £45.84
Therefore, Mr Leonard will receive a discount of £45.84 on his oil purchase.
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The total amount of oil that can be added to the tank is 1200 liters, and there are already 450 liters in the tank. Therefore, the tank can hold an additional 750 liters of oil.
Mr. Leonard will get a discount of [tex]£45.84[/tex] on this purchase.
The price of oil is 81.5p per litre. So, the cost of 750 liters of oil would be:
[tex]750 * 81.5p = £ 611.25[/tex]
As Mr. Leonard is a loyal customer and gets a discount of 7.5% on the price of oil, he will get a discount of:
[tex]7.5% of £611.25 = £45.84[/tex]
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While riding "The Screamer" (an unreliable ferris wheel with a radius of 100 feet) you start getting nervous about how
high in the air you are...you estimate you're about 95 feet high in the air... how much could The Screamer have rotated
(round to the nearest whole degree). There are 2 answers
The Screamer could have rotated either about -2.87 degrees or 357.13 degrees from its starting position.
What is circumference?Circumference is the distance around the edge of a closed curve or a circle. It is the length of the boundary of a circular object or shape. In other words, it is the total length of the circular shape.
According to question:We can use trigonometry to determine the rotation's angle. The rider's height above the ground is equal to the ferris wheel's radius plus the distance travelled around its circle. Let's call the angle of rotation we're trying to find θ.
The distance traveled along the circumference of the wheel can be calculated as follows:
distance = θ/360 * 2πr
where r is the radius of the wheel. Substituting the given values, we get:
95 = 100 + θ/360 * 2π(100)
Simplifying the equation:
θ/360 = (95-100)/(2π(100))
θ/360 = -0.007957747
θ = -2.8661 degrees or 357.1339 degrees
So there are two possible answers: The Screamer could have rotated either about -2.87 degrees or 357.13 degrees from its starting position.
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obby needs to change the oil in his car. Bobby has 4 quarts of oil. Each quart is equal to 4 cups. How many cups of oil does Bobby have?
Answer: 16
Step-by-step explanation:
4*4 = 16
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The graph of the given values of x and y coordinates shows the straight line. Thus, the function is said to be linear function.
Explain about the linear or non linear function:A linear function is one whose graph on a Cartesian plane is a straight line. The line is always straight even though it can travel in any direction.
The form of a non-linear function is not a straight line.There are no exponents higher than one for the linear functions. Some of them only have the single variable x, which would be equal to x to the first power, if they have any variables at all.In its most basic form, a linear function is stated as y = a + bx, where this one and b are both constants.Given table:
x y
-2 -7
-1 -4
0 -1
1 2
2 5
Plot the coordinates on graph:
(-2, -7), (-1, -4),(0,-1),(1,2),(2,5)
The graph of the given values of x and y coordinates shows the straight line. Thus, the function is said to be linear.
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Complete question:
Explain, if the given table shows linear or non linear function?
x y
-2 -7
-1 -4
-0 -1
1 2
2 5
Question 20 options: The time a student sleeps per night has a distribution with mean 6.1 hours and a standard deviation of 0.6 hours. Find the probability that average sleeping time for a randomly selected sample of 36 students is more than 6 hours per night. Answer: (round to 4 decimal places)
The probability that the average sleeping time for a randomly selected sample of 36 students is more than 6 hours per night is 0.8413.
Describe Probability?Probability is a branch of mathematics that deals with the measurement of the likelihood or chance of an event occurring. It is used to quantify uncertainty and make predictions based on incomplete information. In general, probability is defined as a number between 0 and 1, where 0 represents an event that is impossible, and 1 represents an event that is certain to occur.
The basic concept of probability is based on the ratio of the number of favorable outcomes to the total number of possible outcomes. For example, if we toss a fair coin, the probability of getting heads is 1/2 or 0.5, since there is one favorable outcome (heads) out of two possible outcomes (heads or tails).
We can use the central limit theorem to approximate the distribution of the sample mean, assuming that the sample size is large enough. Since the sample size is n=36, we can assume that the sample mean has a normal distribution with mean μ=6.1 and standard deviation σ/√n=0.6/√36=0.1.
Let X be the sample mean sleeping time per night. Then we need to find the probability P(X > 6), which can be transformed into a standard normal distribution using the formula:
Z = (X - μ) / (σ/√n)
where Z is the standard normal variable.
Substituting the given values, we get:
Z = (6 - 6.1) / (0.1) = -1
Now we need to find the probability that Z is greater than -1. Using a standard normal distribution table or calculator, we can find that the probability is approximately 0.8413.
Therefore, the probability that the average sleeping time for a randomly selected sample of 36 students is more than 6 hours per night is 0.8413.
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Here are three similar cuboids, A, B and C.
A has length 6 cm, width 2 cm
and height 5 cm
B has length 12 cm
C has length x cm
b) Volume of A x 343/8 = Volume of C
Work out the value of x in cm.
Your final line must be, x = ...cm
The required value of x is approximately [tex]x = 257.25[/tex] cm.
How to find the volume of cuboid?The volume of cuboid A can be found by multiplying its length, width, and height:
[tex]$V_A = 6\text{ cm} \times 2\text{ cm} \times 5\text{ cm} = 60\text{ cm}^3$[/tex]
To find the volume of cuboid C, we can use the given information that the volume of A multiplied by 343/8 is equal to the volume of C:
[tex]$V_C = V_A \times \frac{343}{8} = 60\text{ cm}^3 \times \frac{343}{8} =2572.5[/tex]
Now, we can use the formula for the volume of a cuboid to find the length of C:
[tex]$V_C = \text{length} \times \text{width} \times \text{height}$[/tex]
[tex]$2572.5}\text{ cm}^3 = x\text{ cm} \times 2\text{ cm} \times 5\text{ cm}$[/tex]
[tex]{2572.5}\text{ cm}^3 = 10x\text{ cm}^3$[/tex]
[tex]x = 257.25[/tex]
Therefore, the value of x is approximately [tex]x = 257.25[/tex] cm.
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The population of Winnemucca Nevada can be modeled by P=6191(1.04)^1 , what is the growth rate (r) represented as a percentage?
a. 106%
b. 96%
c. 4%
d. 1.04%
The grοwth rate (r) represented as a percentage is 4%, which is οptiοn (c).
What is the percentage?A percentage is a number οr ratiο expressed as a fractiοn οf 100. It is οften denοted using the percent sign, "%", althοugh the abbreviatiοns "pct.", "pct" and sοmetimes "pc" are alsο used. A percentage is a dimensiοnless number; it has nο unit οf measurement.
The given pοpulatiοn grοwth mοdel is:
P = 6191(1.04)¹
Here, P represents the pοpulatiοn after οne year, 6191 represents the initial pοpulatiοn, and 1.04 is the grοwth factοr.
The grοwth factοr is calculated as:
grοwth factοr = 1 + grοwth rate
where the grοwth rate is a decimal representatiοn οf the percentage increase in pοpulatiοn.
Sο, in this case, we can calculate the grοwth rate as:
grοwth rate = grοwth factοr - 1 = 1.04 - 1 = 0.04
Tο cοnvert this tο a percentage, we multiply by 100:
grοwth rate as a percentage = 0.04 * 100% = 4%
Therefοre, the grοwth rate (r) represented as a percentage is 4%, which is an οptiοn (c).
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Find the values of m and b
The values of m and be for the line given, can be found to be:
m - 3 / 5b - 5How to find the values of m and b on a line ?First, we need to pick two points from the line which would be ( 0, 5 ) and ( -5, 2 ).
To find the values of m (slope) and b (y-intercept) for a line with the given coordinates (0, 5) and (-5, 2), we can use the slope formula and the point-slope form of a linear equation.
Calculate the slope (m) using the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (2 - 5) / (-5 - 0)
m = (-3) / (-5)
m = 3/5
Find the y-intercept (b) using the point-slope form. The y - intercept is the point where the line crosses the y axis. This means that the value of x at this point would be 0.
The y - intercept can therefore be seen from the point ( 0, 5 ) which means that 5 is the y - intercept or b.
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In the slope-intercept form y = m x + b, what does the m and the b stand for? a. m = slope, b = y-intercept c. m = variable, b = slope b. m = y-intercept, b = slope d. m = slope, b = variable Please select the best answer from the choices provided
Answer: Choice A
Step-by-step explanation:
M= slope
B= y-intercept