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4 years ago

5. State whether the number 91 is prime, composite, or neither.

Mathematics

1 answer:

Zolol [24]4 years ago

7 0

Answer:

91 is a composite number

Step-by-step explanation:

A prime number is the positive number, which has factors 1 and itself.

Example : 1,3,5,7

Clearly 91 is not a prime number, as its factors are:

91 = 1,7,13,91

It has more than 2 factors (1 and itself), hence 91 is a composite number.

Composite number is the number which has factors other than 1 and itself.

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It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir

Ksju [112]

Answer:

We need a sample size of at least 75.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, we find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So:

$\sigma = \sqrt{484} = 22$

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$5 = 1.96*\frac{22}{\sqrt{n}}$

$5\sqrt{n} = 43.12$

$\sqrt{n} = \frac{43.12}{5}$

$\sqrt{n} = 8.624$

$(\sqrt{n})^{2} = (8.624)^{2}$

$n = 74.4$

We need a sample size of at least 75.

6 0

3 years ago

Read 2 more answers

It is claimed that in a bushel of peaches, fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to

irakobra [83]

Answer:

A) H1: π < 0.10

Step-by-step explanation:

<u>One tailed test</u>:-

A test of any statistical hypothesis where the alternative hypothesis is one tailed ( right tailed or left tailed) is called a one - tailed test.

H1: μ < μ0 (left tailed test)

H1: μ > μ0 (right tailed test)

<u>two tailed test</u>:-

In a test of statistical hypothesis where the alternative hypothesis is two tailed , we assume that the null hypothesis

H0: μ = μ0 against the alternative hypothesis

H1: μ ≠ μ0

conclusion:-

given data It is claimed that in a bushel of peaches, fewer than 10% are defective so alternative hypothesis

H1: μ < 0.10

3 0

3 years ago

Could you please help me with this geometry assignment

UkoKoshka [18]

lol sorry i dont even know i just want points xd

8 0

3 years ago

In the figure below, BC=7 and AB= 16. Find AC.

Minchanka [31]

The expressions BC and AB are illustrations of straight lines

The length AC is 25 units

<h3>How to determine the length of AC?</h3>

The given parameters are:

BC =7

AB = 16

Assume that AB and BC are straight lines.

Then , we have:

AC =AB + BC

Substitute known values

AC = 16 + 7

Evaluate the sum

AC = 25

Hence, the length AC is 25 units