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Elena L [17]
3 years ago
15

Find the value of X.

Mathematics
1 answer:
Tju [1.3M]3 years ago
4 0

Answer:

A number

Step-by-step explanation:

it cant be nothing

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The average high-school teacher annual salary is $43,000. Let teacher salary be normally distributed with a standard deviation o
Dvinal [7]

Answer:

a) 0.219

b) 0.02

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 43000, \sigma = 18000

a. What percent of high school teachers make between $40,000 and $50,000?

This is the pvalue of Z when X = 50,000 subtracted by the pvalue of Z when X = 40,000.

So

X = 50,000

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

Z = \frac{50000 - 43000}{18000}

Z = 0.39

Z = 0.39 has a pvalue of 0.6517.

X = 40,000

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

Z = \frac{40000 - 43000}{18000}

Z = -0.17

Z = -0.17 has a pvalue of 0.4325

So 0.6517 - 0.4325 = 0.219 = 21.9% of high school teachers make between $40,000 and $50,000.

b. What percent of high school teachers make more than $80,000?

This is 1 subtracted by the pvalue of Z when X = 80000. SO

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

Z = \frac{80000 - 43000}{18000}

Z = 2.06

Z = 2.06 has a pvalue of 0.9803.

So 1-0.9803 = 0.0197 = 0.02 = 2% of high school teachers make more than $80,000.

6 0
3 years ago
Which method would prove the quadrilateral is a parallelogram?
FrozenT [24]

Answer:

Mukesh Ambani owns a lot of high-end cars. His collection of cars is also now being referred to as Jio Garage. The garage already consists of many luxury and exotic SUVs. Now, Mukesh Ambani has added a Cadillac Escalade SUV to his collection.

4 0
2 years ago
Read 2 more answers
The numbers below a follow a pattern.
Kitty [74]
Here is your answer for part A .06 and .006
8 0
3 years ago
Read 2 more answers
HELP HELP HELP PLS PLS IM CONFUSED
yuradex [85]

Answer:

y=19 z=19

Step-by-step explanation:

45 45 90 triangles are this: sides=hyp/sqrt(2)

mathXL lol

4 0
2 years ago
Kara used the linear model y=45,000+ 0.05x to predict her total salary from achieving total sales of x.
hoa [83]

Answer:

45,000 is the starting salary with zero sales

.05 is the amount multiplied by the number of sales that is added to her salary

For each sale we add .05 to her salary

Step-by-step explanation:

y = 45,000 +.05x

Rewriting as

y = .05x +45,000

This is in slope intercept form ( y=mx+b) where m is the slope and b is the y intercept

.05 is the slope and 45,000 is the y intercept

45,000 is the starting salary with zero sales

.05 is the amount multiplied by the number of sales that is added to her salary

For each sale we add .05 to her salary

6 0
3 years ago
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