What is the area of this figure?

(x+4) (x+10) simplify

Murrr4er [49]

Answer:

x^2 + 14x + 40.

Step-by-step explanation:

(x+4) (x+10)

= x(x + 10) + 4(x + 10) ( By the Distributive Law)

= x^2 + 10x + 4x + 40

= x^2 + 14x + 40.

8 0

2 years ago

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You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , 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 .

The margin of error is:

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

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is $\pi = 0.5$

So

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

$0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}$

$0.001\sqrt{n} = 2.327*0.5$

$\sqrt{n} = \frac{2.327*0.5}{0.001}$

$(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}$

$n = 1353732.25$

Rounding up

A sample size of at least 1,353,733 is required.

5 0

3 years ago

How would you solve this problem 2/6×3= would you divide or multiply

Rainbow [258]

In the order of operation, multiplying or dividing don't take preference over the other. So with them, you work from left to right.

This means for this question, you first divide, then multiply.

5 0

2 years ago

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Help if possible, thanks.

lukranit [14]

Answer:

1,2,3,6 are congruent

Step-by-step explanation:

4 0

2 years ago

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent th

Effectus [21]

Answer:

y = 89 x = 123

Step-by-step explanation:

since they're both in standard form, its easier to do the process of elimination

x - y = 34

-x -y -212

------------------

-2y = -178

y = 89

now plug in y to any one of those two equations

x - y = 34

x - 89 = 34

x = 123

to check:

x + y = 212

123 + 89 = 212

212 = 212

6 0

2 years ago