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3 years ago

If anyone can answer my question please help :)

Mathematics

2 answers:

Yuki888 [10]3 years ago

8 0

Since they are similar you need to start by making ratios for each pentagon.
1.8/2.4 is the first and x/3.6 is the second. Now set them equal to each other and cross multiply.
1.8 X
___ = ____

2.4 3.6

2.4x= 6.48 Now divide both sides by 2.4

2.4x= 6.48
___ ____

2.4 2.4

X= 2.7

kow [346]3 years ago

5 0

Answer:

2.7

Step-by-step explanation

Set it up as fractions and cross multiply.

1.8/2/4 = x/3.6

2.4x = 6.48

then divide by 2.4 and x = 2.7

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3 years ago

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4 years ago

Read 2 more answers

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

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

$0.03 = z\sqrt{\frac{0.16*0.84}{n}}$

$0.03\sqrt{n} = z\sqrt{0.16*0.84}$

$\sqrt{n} = \frac{z\sqrt{0.16*0.84}}{0.03}$

$(\sqrt{n})^2 = (\frac{z\sqrt{0.16*0.84}}{0.03})^2$

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

Question b:

99% confidence level,

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

$n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2$

$n = (\frac{2.575\sqrt{0.16*0.84}}{0.03})^2$

$n = 990.2$

Rounding up

A sample size of 991 is needed.

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3 years ago

What is the graph for y=-3x-2

Korolek [52]

Answer:

Below is the graph which answers your question. Hopefully this helps :)

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4 0

4 years ago

Help please. What does f(x) equal?

ivanzaharov [21]

Answer:

The answer to your question is f(x) =- $\frac{9}{x}$

Step-by-step explanation:

g(x) = 9x - 8

f(x) = ?

h(x) = (f°g)(x) = 9 / (9x - 8)

Process

When we evaluate a function with another function, just substitute the second function in all the x of the first function.

From the information given we notice that g(x) = 9x - 8 and it is in the denominator of the function h(x). This means that before we substitute this value in f(x) there, there was a "x".

Then

f(x) =- $\frac{9}{x}$ so (f°g)(x) =- $\frac{9}{9x - 8}$ or h(x) = - $\frac{9}{9x - 8}$

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3 years ago