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I am Lyosha [343]
3 years ago
8

3. Find a in the given figure.​

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0

Answer:

Step-by-step explanation:

Angles a and b are opposite, so they are equal. The same is true for angles O and 3b.

So, the four angles are actually (starting from the left and going clockwise) 3b,b,3b,b

These four angles sum up to 360, so we have

3b+b+3b+b =8b = 360 \iff b = \dfrac{360}{8} = 45

And since a and b were the same, a is also 45 degrees.

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Step-by-step explanation:

(6+3)÷(4-5)

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A customer service center receives about 10 emails every half-hour.
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Step-by-step explanation:

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Describe the sampling distribution of p(hat). Assume the size of the population is 30,000.
Naya [18.7K]

Answer:

a) \mathbf{\mu_ \hat p = 0.6}

b) \mathbf{\sigma_p =0.01732}

Step-by-step explanation:

Given that:

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population proportion p = 0.6

a)

The mean of the the sampling distribution is equal to the population proportion.

\mu_ \hat p =  p

\mathbf{\mu_ \hat p = 0.6}

b)

The standard deviation of the sampling distribution can be estimated by using the formula:

\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}

\sigma_p = \sqrt{\dfrac{0.6(1-0.6)}{800}}

\sigma_p = \sqrt{\dfrac{0.6(0.4)}{800}}

\sigma_p = \sqrt{\dfrac{0.24}{800}}

\sigma_p = \sqrt{3 \times 10^{-4}}

\mathbf{\sigma_p =0.01732}

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Step-by-step explanation:

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