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2 years ago

What is the area of the composite figure? (Attached picture) __cm²

Mathematics

1 answer:

lara31 [8.8K]2 years ago

7 0

Answer:

59.5

Step-by-step explanation:

area of the triangle is (7 x 3)/2=21/2=10.5

area of the square 7x7=49

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3 years ago

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g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a

Helga [31]

Answer:

The sample size needed is 2401.

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 of the interval 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 $Z = 1.96$ .

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We have to find n, for which M = 0.02.

There is no estimate of p available, so we use $\pi = 0.5$

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

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}$

$n = 2401$

The sample size needed is 2401.

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3 years ago

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GenaCL600 [577]

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Basile [38]

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Explanation:

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2) The second reflection, accross the line m, will turn the letter again leting it equal to the original picture, now translated to the right on the line m.

</span>

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3 years ago

Is (1, –4) a solution to the equation y = –2x?

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Check

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L.H.S

= -2(1)

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