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3 years ago

7

Can someone help me with this please?

1 answer:

kifflom [539]3 years ago

3 0

The trapezoids are similar which means the bigger one is a multiple of the smaller one.

compare the like sides to see the multiple is 4
20 = 5x
4 = x

the sides of ABCD are 4 times bigger than EFGH

**Area is not directly related
The area of a trapezoid = h(a+b)/2
where a and b are the top/bottom sides

A = 4h * 4(a+b)/2
A = 16 * h(a+b)/2

Then the area of ABCD is:
= 16 * 40 cm²
= 640 cm²

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What fraction would you add to 29/6 to make 4

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4 years ago

A spinner is divided into four equal sections labeled yellow green red and blue. If the splitter is on 40 times what percentage

IrinaVladis [17]

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3 years ago

construct a 90% confidence interval of the population proportion using the giver information x=74 n=150

FrozenT [24]

Answer:

The 90% confidence interval of the population proportion is (0.43, 0.56).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The information provided is:

<em>X</em> = 74

<em>n</em> = 150

Confidence level = 90%

Compute the value of sample proportion as follows:

$\hat p=\frac{X}{n}=\frac{74}{150}=0.493$

Compute the critical value of <em>z</em> for 90% confidence level as follows:

$z_{\alpha/2}=z_{0.10/2}=z_{0.05}=1.645$

*Use a <em>z</em>-table.

Compute the 90% confidence interval of the population proportion as follows:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.493\pm 1.645\times \sqrt{\frac{0.493(1-0.493)}{150}}\\\\=0.493\pm 0.0672\\\\=(0.4258,\ 0.5602)\\\\\approx (0.43,\ 0.56)$

Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).

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3 years ago

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natta225 [31]

if 15 x 1.8 = 27 then

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3 years ago