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Bingel [31]
4 years ago
11

Missing side length

Mathematics
1 answer:
ratelena [41]4 years ago
6 0

Answer:

Since ΔABC ~ ΔQRS, we know that:

=> AB/QR = BC/RS

=> 2/n = 6/15

=> n = (2 × 15)/6 = 5

*You can also use AB/QR = AC/ QS to calculate n

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3 years ago
In a sample of 400 voters, 360 indicated they favor the incumbent governor. The 95% confidence interval of voters not favoring t
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Answer:

0.071 to 0.129

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 interval 1-\alpha, we have the following confidence interval of proportions.

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In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

In a sample of 400 voters, 360 indicated they favor the incumbent governor. This means that 400-360 = 40 do not favor the incumbent governor. So n = 400, \pi = \frac{40}{400} = 0.1

95% confidence interval

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}} = 0.10 - 1.96\sqrt{\frac{0.10*0.90}{400}} = 0.071

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.10 + 1.96\sqrt{\frac{0.10*0.90}{400}}= 0.129

The correct answer is:

0.071 to 0.129

7 0
3 years ago
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