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2 years ago

If events X and Y are independent, what must be true? Check all that apply.

Mathematics

2 answers:

Luda [366]2 years ago

7 0

3. P(Y | X) = P(Y) and 6. P(X | Y) = P(X)

larisa86 [58]2 years ago

6 0

All these are true when X and Y are independent events:

1) The occurrence or lack of event X does not influence the occurrence of event Y, and the occurrence or lack of event Y does not influence the occurrence of event X.

2) P(X∩Y) = P(X) * P(Y)

3) P(X | Y) = P(X).... this is the probability of X given Y is equal to the probability of X.

4) P (Y | X) = P(Y)

5) P(A∪B) = P(A) + P(B) - P(A∩B)

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A car company sells a scale model to of the size of one of its cars.

mixer [17]

Answer:

$w = 13500$ --- real windscreen

$v = 408$ --- scale volume

Step-by-step explanation:

Given

$k = \frac{1}{10}$ --- scale factor

See attachment

Required

Complete the table

To get the windscreen (w) of the real car, we do the following computation

$w = \frac{w_{scale}}{k^2}$

This gives:

$w = \frac{135}{(1/10)^2}$

$w = \frac{135}{1/100}$

$w = 13500$

Next, the volume (v) of the scale mode

We make use of the following computation

$v = v_{real} * k^3$

So, we have:

$v = 408000 * (1/10)^3$

$v = 408000 * 1/1000$

$v = 408$

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liraira [26]

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Prove tan3A= (cos(2A)-cos(4A))/ (sin(4A)- Sin(2A)) ...?

aivan3 [116]

The solution to the problem is as follows:

<span>cos2A - cos4A = -2 sin(6A/2).sin(-2A/2) = +2 sin(3A).sinA

and

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Hence RHS = (cos(2A)-cos(4A))/ (sin(4A)- Sin(2A)) = sin 3A / cos 3A = tan 3A = LHS
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I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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2 years ago

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yaroslaw [1]

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