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Ivahew [28]
3 years ago
5

Suppose ACT Reading scores are normally distributed with a mean of 21.3 and a standard deviation of 5.9. A university plans to a

ward scholarships to students whose scores are in the top 7%. What is the minimum score required for the scholarship? Round your answer to the nearest tenth, if necessary.
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0

Answer:

30.0

Step-by-step explanation:

Given our data is normally distribute with \mu=21.3 and \sigma=5.9

-Top 7% is given by find the z-value corresponding to p=(1-0.07)=0.93

-We substitute our values in the equation below;

z=\frac{\bar X-\mu}{\sigma}\\\\\\=\frac{X-21.3}{5.9}, z_{0.035}=1.476\\\\\therefore 1.476=\frac{X-21.3}{5.9}\\\\X=5.9\times 1.476+21.3\\\\=30.0084\approx30.0

Hence, the minimum score required for the scholarship is 30.0

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Answer:

Slope: 6

y-intercept: 8

x-intercept: -4/3

Step-by-step explanation:

Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, divide 2 from both sides:

(2y - 6x - 8)/2 = (0)/2

y - 6x - 8 = 0

Isolate the variable, y. Add 6x and 8 to both sides:

y -6x (+6x) - 8 (+8) = 0 (+6x) (+8)

y = 0 + 6x + 8

y = 6x + 8

The slope intercept form is: y = mx + b, in which m = slope, and b = y-intercept.

Slope: 6

y-intercept: 8

To find the x-intercept, plug in 0 for y in the equation:

y = 6x + 8

0 = 6x + 8

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 8 from both sides:

0 (-8) = 6x + 8 (-8)

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Isolate the variable, x. Divide 6 from both sides:

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~

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4 years ago
Is the inverse of the function shown below also a function? Explain your answer.<br>     
Olegator [25]
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5 0
3 years ago
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Rudiy27

Answer:

6 people had blue eyes

45 miles

15 crayons

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Step-by-step explanation:

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A: total miles = 30 + 15 = 45 miles

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A: total number of crayons - number lost = 30 - 15 = 15 crayons left

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