We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.

To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.

First of all, we will find z-score corresponding to probability $0.975(1-0.025)$ using normal distribution table.

From normal distribution table, we get z-score corresponding is $1.96$ .

Now, we will use z-score formula to find sample score as:

$z=\frac{x-\mu}{\sigma}$ , where,

$z$ = Z-score,

$z$ = Sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation

$1.96=\frac{x-50,000}{2,500}$

$1.96*2,500=\frac{x-50,000}{2,500}*2,500$

$4900=x-50,000$

$4900+50,000=x-50,000+50,000$

$54900=x$

Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.

4 0

3 years ago

Find the area of the circle. Round your answer to the nearest hundredth. 3 in

forsale [732]

Answer:

28.27 or 28 rounded up.

7 0

3 years ago

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Two punds of cheese cost 8.40. show the cost of 1,2,3,and 4 pumds of cheese. Is there a direct variation

larisa [96]

Answer: 1 = 4.20, 2 = 8.40 3 = 12.60 4 = 16.80

This is a direct variation.

Step-by-step explanation:

4 0

3 years ago