Which quantity could go in the blank to make the equation true?

The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10

steposvetlana [31]

Using the normal distribution, it is found that the probability is 0.16.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively, $\mu = 70, \sigma = 3$ .

The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:

X = 67:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{67 - 70}{3}$

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{45 - 70}{3}$

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

More can be learned about the normal distribution at brainly.com/question/24663213

3 0

2 years ago

PLEASE HELP I WILL GIVE BRAINLIEST:)

DedPeter [7]

Answer: uhhhh try the first one

Step-by-step explanation:

5 0

3 years ago

What is 1/x^2 in the power of x

Serhud [2]

we have given that $\frac{1}{x^2}$ .

we need to express this interms of power of x .

we know that $\frac{1}{x^n} =x^-n$ .

in place of n we have 2 .so $\frac{1}{x^2} =x^-2$ .

so this will be the expression interms of power of x .

6 0

3 years ago

Amy and Ben share £21 between them in the ratio 5 : 2. How much does Amy get?

Alika [10]

Answer:

✑ $\underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} :$

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = $\sf{ \frac{30}{40} = \frac{3}{4} = 3:4}$ and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : $\sf{ \frac{a}{b}}$ is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.