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kupik [55]
3 years ago
10

In ΔBCD, the measure of ∠D=90°, BD = 63, CB = 65, and DC = 16. What ratio represents the cosine of ∠B?

Mathematics
1 answer:
wariber [46]3 years ago
4 0

Answer:

Cos \angle B=\frac{63}{13}

Step-by-step explanation:

-Given that ΔBCD is a right triangle with ∠D=90° as in the attached figure.

-The ratio of Cos of ∠B can be obtained using the right triangle identities:

Cos \ \theta=\frac{Adjacent}{Hypotenuse}\\\\Cos \ B=\frac{63}{16}

Hence, the cosine of ∠B can be represented by the ratios Cos \angle B=\frac{63}{13}

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Answer:

By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

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This means that \mu = 1200, \sigma = 900

Sample of 10.

This means that n = 10, s = \frac{900}{\sqrt{10}} = 284.6

The sampling distribution of the sample mean amount of money in a savings account is

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1. Y

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