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2 years ago

8

Mathematics

1 answer:

MakcuM [25]2 years ago

4 0

Answer: C) 4.20

Explanation:

Multiply each value with its corresponding frequency:

1*450 = 450
10*35 = 350
50*10 = 500
100*4 = 400
400*1 = 400

Add up the products

450+350+500+400+400 = 2100

Then divide this over the total frequency (450+35+10+4+1 = 500)

So we get 2100/500 = 4.20 as the expected value.

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Answer:

The second box

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3 years ago

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I need help with this question

Novay_Z [31]

Answer:

$\frac{\sqrt{3} - 1}{2\sqrt{2}}$

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Step-by-step explanation:

Given $\frac{11 \pi}{12} = \frac{3 \pi}{4} + \frac{\pi}{6}$

(A) $sin(\frac{11\pi}{12}) = sin (\frac{3 \pi}{4} + \frac{\pi}{6})$

We know that Sin(A + B) = SinA cosB + cosAsinB

Substituting in the above formula we get:

$sin (\frac{3\pi}{4} + \frac{\pi}{6}) = \frac{1}{\sqrt{2}} . \frac{\sqrt{3}}{2} + \frac{-1}{\sqrt{2}}. \frac{1}{2}$

$$ \implies \frac{1}{\sqrt{2}} (\frac{\sqrt{3} - 1}{2}) = \frac{\sqrt{3} - 1}{2\sqrt{2}}$

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From the above obtained values this can be calculated and the value is $- \frac{\sqrt{3} - 1}{\sqrt{3} + 1}$ .

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