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1 year ago

Suppose the following data set represents the starting salaries for the population of teachers from eight states:

Mathematics

1 answer:

yuradex [85]1 year ago

5 0

Answer:

a) The mean of the data set is $33,691.13 and can be calculated by finding the average of the sum of the eight salaries.

b) The five number of the data set is {27,274; 30,421; 32,941.5; 35,682; 44,166} and can be calculated by finding the minimum, maximum, median, and interquartile range values.

c) The standard deviation of the data set is 4773.50 and can be calculated by finding the square root of the average of the sum of the differences from the mean squared.

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In which segment is the function constant

Debora [2.8K]

need more details pls

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3 years ago

RADIATION ON MARS

Darina [25.2K]

Answer:

0.71% probability that the daily average amount of radiation received by a rover will exceed 102

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 100, \sigma = 20, n = 600, s = \frac{20}{\sqrt{600}} = 0.8165$

What is the probability that the daily average amount of radiation received by a rover will exceed 102?

This is 1 subtracted by the pvalue of Z when X = 102. So

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

By the Central Limit Theorem

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

$Z = \frac{102 - 100}{0.8165}$

$Z = 2.45$

$Z = 2.45$ has a pvalue of 0.9929

1 - 0.9929 = 0.0071

0.71% probability that the daily average amount of radiation received by a rover will exceed 102

5 0

2 years ago

There are 6 gray keys for every 11 black keys. Also, the number of black keys is 2 less than twice the number of gray keys. Use

emmainna [20.7K]

$\text{ Answer: There are }12\text{ gray keys.}\\\\\text{ there are }22\text{ black keys.}$

Explanation:

Since we have given that

There are 6 gray keys for every 11 black keys .

So, the ratio will be 6:11

Let the number of gray keys be 6x

Let the number of black keys be 11x

Now, according to question,

$11x=2\times 2x-2\\\\11x=12x-2\\\\11x-12x=-2\\\\-x=-2\\\\x=2$

so,

$\text{ there are }6x=6\times 2=12\text{ gray keys.}\\\\\text{ there are }11x=11\times 2=22\text{ black keys.}$

8 0

3 years ago

Find the smallest square number divisible by each of these numbers 6,9,and 15

STALIN [3.7K]

Answer:

$\frac{6}{3} = 2$

$\frac{9}{3} = 3$

$\frac{15}{3} = 5$

So the smallest number is 3. As it divides 6,9 and 15.

6 0

3 years ago

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How is the process of finding the surface area of a rectangular prism the same as finding the surface area of a triangular prism

harina [27]

Answer:

see the explanation

Step-by-step explanation:

we know that

The surface area of a prism is given by the formula

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

For both prism the formula is the same

How is it different?

Rectangular prism

The area of the base is given by the formula

$A=LW$ -----> is the area of rectangle

where

L is the length and W is the width of rectangle

The perimeter of the base is given by

$P=2(L+W)$ ---> is the perimeter of rectangle

The height H is the same in both cases

Triangular prism

The area of the base is given by the formula

$A=\frac{1}{2} (b)(h)$ -----> is the area of the triangular base

where

b is the base of triangle and h is the height of triangle

The perimeter of the base is given by

$P=(a+b+c)$ ---> is the perimeter of triangle

where

a, b and c are the length sides of triangle

The height H is the same in both cases

3 0

3 years ago

Read 2 more answers