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3 years ago

Find the length of the missing side.

Mathematics

1 answer:

german3 years ago

8 0

Answer:

length of third side is 10 units.

Step-by-step explanation:

let x be the missing side

by pythagorus :

x^2 = 8^2 + 6^2
x^2 = 64 + 36
x = root 100
x = 10

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vlada-n [284]

Answer:

the answer is h=9

Step-by-step explanation:

the answer is h=9

27/3=9

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3 years ago

State University uses thousands of fluorescent light bulbs each year. The brand of bulb it currently uses has a mean life of 600

Ipatiy [6.2K]

Answer:

The test statistic is t = 2.5.

The p-value of the test is of 0.007 < 0.05, which means that the evidence supports the manufacturer's claim at the .05 significance level.

Step-by-step explanation:

Mean life of 600 hours. Test if it is more.

At the null hypothesis, we test if the mean is of 600 hours, that is:

$H_0: \mu = 600$

At the alternative hypothesis, we test if the mean is of more than 600 hours, that is:

$H_1: \mu > 600$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

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

600 is tested at the null hypothesis:

This means that $\mu = 600$

Suppose 100 bulbs were tested and found to have a mean of 625 hours with a standard deviation of 100.

This means that $n = 100, X = 625, s = 100$ .

Value of the test-statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{625 - 600}{\frac{100}{\sqrt{100}}}$

$t = 2.5$

The test statistic is t = 2.5.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 625 hours, which is a right-tailed test, with t = 2.5 and 100 - 1 = 99 degrees of freedom.

Using a t-distribution calculator, this p-value is of 0.007.

The p-value of the test is of 0.007 < 0.05, which means that the evidence supports the manufacturer's claim at the .05 significance level.

4 0

3 years ago

Which number is prime?<br> 63 <br> 51 <br> 61 <br> 57

kondor19780726 [428]

Hey there!

No numbers go into a prime number other than one and that number. 9 and 7 go into 63, so it’s not 63. 3 and 17 go into 51, so it’s not 51. 19 and 3 go into 57, so it’s not 57. That leaves 61. Nothing goes into this other than one and 61, so the answer is 61.

I hope this helps!

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3 years ago

Identify the type of sampling used. In a recent online survey, participants were asked to answer "yes" or "no" to the questio

Anastaziya [24]

Answer:

The sampling technique used is convenience sampling.

Step-by-step explanation:

Convenience sampling technique is a method of non-probability sampling that is done using the most easiest sample or the most convenient sample.

For instance, sampling the people of our neighborhood, or school or company, etc.

This type of sampling is known as non-probability sampling because each individual\participant does not have a specific probability of selection. Whereas in case of probability sampling each participant has an equal probability of being selected.

Survey that are conducted through online portals or online survey use samples that are quite easy to collect. The sample collected through online surveys is convenience sample.

The survey conducted to determine how many people were in favor of stricter gun control uses a convenience sampling technique. As it uses the most easy source to collect the sample.

Thus, the sampling technique used is convenience sampling.

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3 years ago

0.319 round to the nearest hundredth

pshichka [43]

0.32 Good luck with other questions!

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3 years ago

Read 2 more answers