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Vera_Pavlovna [14]
3 years ago
5

Given a mean of 150 and a standard deviation of 25:

Mathematics
1 answer:
pishuonlain [190]3 years ago
4 0
We have to define an interval about the mean that contains 75% of the values. This means half of the values will lie above the mean and half of the values lie below the mean.

So, 37.5% of the values will lie above the mean and 37.5% of the values lie below the mean.

In a Z-table, mean is located at the center of the data. So the position of the mean is at 50% of the data. So the position of point 37.5% above the mean will be located at 50 + 37.5 = 87.5% of the overall data

Similarly position of the point 37.5% below the mean will be located at 
50 - 37.5% = 12.5% of the overall data

From the z table, we can find the z value for both these points. 12.5% converted to z score is -1.15 and 87.5% converted to z score is 1.15.

Using these z scores, we can find the values which contain 75% of the values about the mean.

z score of -1.15 means 1.15 standard deviations below the mean. So this value comes out to be:

150 - 1.15(25) = 121.25

z score of 1.15 means 1.15 standard deviations above the mean. So this value comes out to be:

150 + 1.15(25) = 178.75

So, the interval from 121.25 to 178.75 contains the 75% of the data values. 
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3 years ago
If $25, 000 is invested into an account paying 4.5% per year, compounded quarterly, how much money can be withdrawn from the acc
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The money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

<h3>What is compound interest?</h3>

The formula for compound interest is given as;

A = P ( 1 + \frac{r}{n} )^n^t

P = principal interest = $25, 000

r = rate = 4. 5%

n = 2 months

t = 6 years

A = 25, 000 ( 1 + \frac{4. 5}{2} )^2 ^*^6

A = 25, 000(1 + 0. 75)^1^2

A = 25, 000( 825. 00)

A = $20, 625, 000

Thus, the money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

Learn more about compound interest here:

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2 years ago
Imagine that you have a very large barrel that contains tens of thousands of M&amp;M's. According to the official M&amp;M websit
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Answer:

(A)20%, 20%, 20%, 20%, 20%

Step-by-step explanation:

We are told that 20% of the M&M's produced by the Mars Corporation are Orange in color. If 5 students take a random sample of 50 M&M's, the most plausible percentage of orange candies that will be obtained is:

20%, 20%, 20%, 20%, 20%

This is as a result of the fact that in research experiments, a sample is a representation of the whole. Any result which holds for a random sample should hold for the total population and vice versa.

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Answer: d.

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