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ahrayia [7]
1 year ago
7

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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What is the total cost of a $12.60 item plus 7% sales tax?
Ulleksa [173]
To take a percent, move the decimal point of the percent two places to the left. 7% = 0.07

Then multiply:

12.60 • 0.07 = 0.88

12.60 + 0.88 = 13.48

The total cost is: $13.48
5 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST TO WHO EVER TELLS ME THIS ANSWER ASAP
blondinia [14]

it is not because prime factorization is a number broken down by its prime factors

4 x 3 x 20 x 8 x 22 = 42240

the correct prime factorization of 42240 is  2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11


can i have brainliest

4 0
2 years ago
The Office of Student Services at a large western state university maintains information on the study habits of its full-time st
Vera_Pavlovna [14]

Answer:

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

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 normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, 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.

Mean of 20 hours, standard deviation of 6:

This means that \mu = 20, \sigma = 6

Sample of 150:

This means that n = 150, s = \frac{6}{\sqrt{150}}

What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So

X = 21

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

By the Central Limit Theorem

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

Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}

Z = 2.04

Z = 2.04 has a p-value of 0.9793

X = 19.5

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

Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}

Z = -1.02

Z = -1.02 has a p-value of 0.1539

0.9793 - 0.1539 = 0.8254

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

3 0
3 years ago
(2)/(7):0.6x=(4)/(21):0.25
inysia [295]

Answer:

 =  1.6

Unless you meant to clarify what in the equation you needed, but that is the answer to it.

7 0
3 years ago
Use the substitution method to solve the system of equation.choose the correct ordered pair. 2
Jlenok [28]
I’m not sure if the 2 is counted in the equation or not

Since x=4, substitute it for x in the other equation

4+3y=29
3y=25
Y=8.333333333

2(4)+3y=29
8+3y=29
3y=37
y=12.33333333
7 0
3 years ago
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