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lord
3 months ago
12

Ollie has installed security lights on the side of his house that are activated by a sensor. The sensor is located at point C di

rectly above point D. The area covered by the sensor is shown by the shaded region enclosed by triangle ABC. The distance from A to B is 4.5 m and the distance from B to C is 6 m. Angle AĈB is 15°.

Mathematics
1 answer:
Leona [12.6K]3 months ago
8 0

Result:

20.19°

Detailed explanation:

Refer to the attached diagram related to the question. We need to determine <CAB

Utilizing the sine rule on triangle ABC:

\frac{4.5}{sin15^0} = \frac{6}{sin

cross-multiply

4.5 * sin

Thus, the angle <CAB measures 20.19°

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Answer:

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Step-by-step explanation:

It is known that the mean and standard deviation of the sampling distribution of the sample proportion(\hat{p}) are represented as follows:-

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Let p denote the proportion of blue chips.

According to the information provided, we have

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\mu _{\hat{p}}= 0.275\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{ 0.275(1- 0.275)}{5}}\\\\=0.19968725547\approx0.1997

Therefore, you will have the mean and standard deviation for the sample proportion of blue chips for samples of size 5:

\mu _{\hat{p}}= 0.275\\\\ \sigma_{\hat{p}}=0.1997

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