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3 years ago

Find the area of this parallelogram

Mathematics

2 answers:

Andrei [34K]3 years ago

7 0

Answer:

84cm^2

Step-by-step explanation:

Area of a parallelogram is Base times Height

Area = BxH

plug in

B = 14

H = 6

Nesterboy [21]3 years ago

5 0

84cm^2 explanation: because yes because no

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How large a sample should be selected to provide a 95% confidence interval with a margin of error of 6? Assume that the populati

marshall27 [118]

Using the z-distribution, it is found that a sample of 171 should be selected.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

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

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

For this problem, the parameters are:

$z = 1.96, \sigma = 40, M = 6$

Hence we solve for n to find the needed sample size.

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

$6 = 1.96\frac{40}{\sqrt{n}}$

$6\sqrt{n} = 40 \times 1.96$

$\sqrt{n} = \frac{40 \times 1.96}{6}$

$(\sqrt{n})^2 = \left(\frac{40 \times 1.96}{6}\right)^2$

n = 170.7.

Rounding up, a sample of 171 should be selected.

More can be learned about the z-distribution at brainly.com/question/25890103

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2 years ago

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Vsevolod [243]

Answer:

is there a picture

Step-by-step explanation:

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3 years ago

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nalin [4]

Given the polynomial expression:

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We get,

$\mleft(y+5\mright)^2=(y)^2+2(y)(5)+(5)^2$ $(y+5)^2=y^2+10y+25$

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To be able to simplify the following expression. We will be using the formula for the difference of two squares.

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