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3 years ago

3 is an element of the rational number (True or False)

Mathematics

1 answer:

mel-nik [20]3 years ago

6 0

True cause 3 is and odd number

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8. Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

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x = 9 / tan(30)
x = 9 sqrt(3)

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3 years ago

Read 2 more answers

in a shipment of 50 calculators, 4 are defective. one calculator is randomly selected and tested. what is the probability that i

Serga [27]

Calculate a simple probability p=x/n, here x is the defective,so the answer is 4/50

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3 years ago

What is the measure of x, given that figure ABCD is a rhombus.

dsp73

The answer would be d

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3 years ago

Examine each number. What number can you add to this number to make a number that has a whole-number square root?

Fantom [35]

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3 years ago

Consider the following hypothesis test:

Gnom [1K]

Answer:

a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.

b. z=1.24. No, it can not be concluded that the population mean is greater than 50.

c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.

Step-by-step explanation:

We have a hypothesis test for the mean, with the hypothesis:

$H_0: \mu\leq50\\\\H_a:\mu> 50$

The sample size is n=55 and the population standard deviation is 6.

The significance level is 0.05.

We can calculate the standard error as:

$\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{55}}=0.809$

For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.

a. If the sample mean is M=52.5, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{52.5-50}{0.809}=\dfrac{2.5}{0.809}=3.09$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

b. If the sample mean is M=51, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51-50}{0.809}=\dfrac{1}{0.809}=1.24$

The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.

c. If the sample mean is M=51.8, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51.8-50}{0.809}=\dfrac{1.8}{0.809}=2.22$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

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4 years ago