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4 years ago

19.How long is the pencil shown below?3.51 2345 cm

Mathematics

1 answer:

arlik [135]4 years ago

6 0

Answer:

5cm

- The pencil is 5cm long.

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Please Help!<br> Write a equation for each hanger!

julsineya [31]

Answer:

Step-by-step explanation:

A: 2x = 3

B: w+1.3 = 2.7

C: 3y = 5.1

D: z+⅓ = ½

7 0

3 years ago

A politician estimates that 61% of his constituents will vote for him in the coming election. How many constituents are required

Katyanochek1 [597]

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

The estimate is of $\pi = 0.61$ , while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}$

$\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2$

$n = 1015.5$

Rounding up, 1016 constituents are required.

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

8 0

2 years ago

Solve for x.

kirill115 [55]

How to get answer:

$Expand -2\left(x+13\right)+9x:\quad 7x-26\\Expand -2\left(x+13\right):\quad -2x-26\\\\=-2x-26+9x\\Simplify -2x-26+9x:\quad 7x-26\\7x-26=4\\\mathrm{Add\:}26\mathrm{\:to\:both\:sides}\\7x-26+26=4+26\\\mathrm{Simplify}\\7x=30\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7x}{7}=\frac{30}{7}\\Simplify\\x=\frac{30}{7}$