−2x + 2y = −5 5x − 6y = 8

Mathematics

1 answer:

larisa86 [58]2 years ago

4 0

Answer:

y= 5x/6-4/3 y=x-5/2

Step-by-step explanation:

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Solve for x in the diagram below

ella [17]

Answer:

Step-by-step explanation:

3x + x + 100 = 180 (sum of angles on a straight line)

4x = 180-100

4x=80

divide both sides by 4

x=20

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3 years ago

3/8 divided by 1/2 equals what

yulyashka [42]

0.75. This is the correct answer

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2 years ago

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In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent (Pew Research, June 5, 2014). An independe

enot [183]

Answer:

$n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2$ , in which z is related to the confidence level.

b) A sample size of 991 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent

This means that $\pi = 0.16$

a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).

This is n for which $M = 0.03$ . So