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g100num [7]
3 years ago
14

The heights (in inches) of the starting players on a high school basketball team are as follows: 72, 75, 78, 72, 73.

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer:

There are 5 starting players.

The mean is 74

The median is 73

Step-by-step explanation:

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Which of the following is an irrational number?
Ad libitum [116K]

Answer:

sq root of 26

Step-by-step explanation:

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2 years ago
Read 2 more answers
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines
storchak [24]

Answer:

The null hypothesis is H_o: \mu = 4.

The alternate hypothesis is H_a: \mu \neq 4

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

Step-by-step explanation:

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line.

This means that the null hypothesis is that they are 4.00 cm long, that is:

H_o: \mu = 4

At the alternate hypothesis we test if it is different. So

H_a: \mu \neq 4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

4 is tested at the null hypothesis:

This means that \mu = 4

After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm.

This means that n = 196, X = 4.14

He knows that the population standard deviation is 0.83 cm.

This means that \sigma = 0.83

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{4.14 - 4}{\frac{0.83}{\sqrt{196}}}

z = 2.36

Pvalue of the test and decision:

The pvalue of the test is the probability that the sample mean is different by at least 4.14 - 4 = 0.14 from the target value, which is P(|z| > 2.36), which is 2 multiplied by the pvalue of z = -2.36.

Looking at the z-table, z = -2.36 has a pvalue of 0.0091

2*0.0091 = 0.0182

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

5 0
2 years ago
Pls help fast!!<br> 1. factorize(l-x²)<br> 2. simplify:9³×125×27×t⁻⁴/3⁻²×4⁴×5³×(t⁻⁴)³
rodikova [14]

Answer:

Step-by-step explanation:

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The perimeter of a rectangular pentagon is 110 mm, find the length of one side
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Answer:

22mm

Step-by-step explanation:

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