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murzikaleks [220]

3 years ago

7

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. Given = 6"

1 answer:

Svetllana [295]3 years ago

6 0

From this detail that is a right isosceles triangle result that the angles from the base has measure of 45 degrees
- there is given again that the length of legs is 6"
- than we drawn the height from the right angle on hypotenuse and use sin45 we get
but we need to know that 6" = 6*2,6 = 15,6 cm = 0,156 m
cos 45° = (half of hypotenuse)/6"

sqrt2 /2 = (half of hyp) /6"

half of hyp. = 6"sqrt2 /2 = 3sqrt2" so than the length of hypotenuse will be

equal 2*3sqrt2 = (6sqrt2)"

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Answer:

Step-by-step explanation:

Suppose we think of an alphabet X to be the Event of the evidence.

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Y' be the Event of not involved in cheating

From the given information:

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$P(YX) =0.006$

The probabilities of not involved in cheating & the evidence are present is:

$P(Y'X) = P(Y') \times P(\dfrac{X}{Y'})$

$P(Y'X) = 0.99 \times 0.0001 \\ \\ P(Y'X) = 0.000099$

(b)

The required probability that the evidence is present is:

P(YX or Y'X) = 0.006 + 0.000099

P(YX or Y'X) = 0.006099

(c)

The required probability that (S) cheat provided the evidence being present is:

Using Bayes Theorem

$P(\dfrac{Y}{X}) = \dfrac{P(YX)}{P(Y)}$

$P(\dfrac{Y}{X}) = \dfrac{P(0.006)}{P(0.006099)}$

$P(\dfrac{Y}{X}) = 0.9838$

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Sphinxa [80]

I hope this helps you

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