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2 years ago

14

If triangles ABC and XYZ are similar, what is the length of side b?

1 answer:

Semmy [17]2 years ago

7 0

Length of side b = 12

By doing 15 / 10, we can find how much the right triangle has been reduced compared to the left triangle. So, it’s been reduced by 0.5

Because we’re trying to find side b which is on the larger (left) triangle, we do 8 x 1.5 which is 12

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Is 5x-7y=3 standard form?

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3 years ago

A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid

katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

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:

$n = 865, \pi = \frac{408}{865} = 0.4717$

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 $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050$

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

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2 years ago

Expand and combine like terms.<br> (3c^4-5c^6)^2

lora16 [44]

Answer:

$9c^{8} -30c^{10} + 25c^{12}$

Step-by-step explanation:

We can use formula (a-b)² = a² -2ab + b².

In our example a = 3c^4 and b = 5c^6

$(3c^{4} - 5c^{6})^{2} = [3c^{4} ]^{2} - 2*3c^{4} *5c^{6} + [5c^{6}]^{2}=\\=9c^{8} -30c^{10} + 25c^{12}$

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Answer:

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Step-by-step explanation:

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Usimov [2.4K]

Answer: 30

Step-by-step explanation:

21+39/2

=30

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2 years ago

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