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2 years ago

PLSSSS HELP ASAPPPP Which is the graph of g(x) = [X +3]

Mathematics

2 answers:

adelina 88 [10]2 years ago

6 0

Answer:

the last one

Step-by-step explanation:

the image of [0.1] is 1 using X and now it's X+3

so the image will be 4

zubka84 [21]2 years ago

5 0

Answer:

Last graph, 4, D

Step-by-step explanation:

g(x) = [X +3] is the graph we're looking for

g(x) = X would be a straight line with an equation of y=1x+0 and a slope of 1

g(x) = [X +3] would be adding 3 to the vertical asymptote of g(x)

or it would look like

y=1x+3

so the answer to this would be the line that has y = x+3

So the last one

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natali 33 [55]

Answer: 105 kilometers

Step-by-step explanation:

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3 years ago

In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm ha

Afina-wow [57]

Answer:

A sample size of 79 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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$\pi = 0.21$

The margin of error is:

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

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

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 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

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

$0.09 = 1.96\sqrt{\frac{0.21*0.79}{n}}$