The area is about? SOMONE HELP I’m so confused please please help

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1491 and the standard deviati

Alinara [238K]

Answer:

$z(1910)=1.3429\\\\z(1230)=-0.9006\\\\z(2190)=2.2404\\\\z(1380)=-0.3558$

Step-by-step explanation:

-Given the population mean is $\mu=1491$ and the standard deviation is $\sigma=312$ , we calculate the z-scores using the formula:

$z=\frac{\bar x-\mu}{\sigma}$

#The z-score for 1910 can be calculated as:

$z(1910)=\frac{x-\mu}{\sigma}\\\\=\frac{1910-1491}{312}\\\\=\frac{419}{312}\\\\=1.3429$

#The z-score for 1230can be calculated as:

$z(1230)=\frac{x-\mu}{\sigma}\\\\=\frac{1230-1491}{312}\\\\=\frac{-281}{312}\\\\=-0.9006$

#The z-score for 2190 is calculated as follows:

$z(2190)=\frac{x-\mu}{\sigma}\\\\=\frac{2190-1491}{312}\\\\=\frac{699}{312}\\\\=2.2404$

#The z-score for 1380 is calculated as:

$z(1380)=\frac{x-\mu}{\sigma}\\\\=\frac{1380-1491}{312}\\\\=\frac{-111}{312}\\\\=-0.3558$

7 0

2 years ago

What is the answer to this equation 13-3/2x=34

goldenfox [79]

If you would like to solve the equation 13 - 3 / 2 * x = 34, you can do this using the following steps:

13 - 3 / 2 * x = 34
13 - 34 = 3 / 2 * x
- 21 = 3 / 2 * x /* 2/3
x = - 21 * 2 / 3
x = - 14

The correct result would be - 14.

6 0

2 years ago

Read 2 more answers

A clothing store charges $30 for 12 pairs of socks. A student says that the unit price is $0.40 per pair. What is the error? Wha

yulyashka [42]

Their error is that they divided 12 by 30, instead of 30 by 12 in order to get the price per pair

the correct unit price is $2.50 per pair

2.5 * 12 = 30

8 0

2 years ago

Read 2 more answers

2 triangles are shown. The first triangle has side lengths 35, 20, and 20. The second triangle has side lengths x, 44, 44.

Ad libitum [116K]

The value of x is 77 cm which will make the triangles similar by SSS similarity theorem

Given length of the three sides of one triangle are 35 , 20 and 20

and length of the three sides of another triangle are x, 44,44

We need to find the values of x by using SSS Similarity theorem

We know that triangles are are similar by side - side - side similarity creation and hence the sides are in the same ratio

As both the triangles are isosceles triangles

Therefore ,