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kifflom [539]
3 years ago
6

Use the figure to determine the value of X and y

Mathematics
2 answers:
bogdanovich [222]3 years ago
6 0

Answer:

100,80

Step-by-step explanation:

The opposite angle theorem states that, : "When two lines cross four angles are created and the opposite angles are equal."

y°=80°

Now, check that , x° and y° are in one straight line. A straight line has angle of 180°. So x° and y° should sum up to 180°

x° + y° = 180°

x° + 80° = 180°

x° = 100°

Taya2010 [7]3 years ago
4 0
Y = 80 because of vertical angles and x = 100 because 80 + 100 = 180
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(Ross 5.15) If X is a normal random variable with parameters µ " 10 and σ 2 " 36, compute (a) PpX ą 5q (b) Pp4 ă X ă 16q (c) PpX
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Answer:

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Step-by-step explanation:

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(a)

Compute the value of P (X > 5) as follows:

P(X>5)=P(\frac{x-\mu}{\sigma}>\frac{5-10}{\sqrt{36}})\\=P(Z>-0.833)\\=P(Z

Thus, the value of P (X > 5) is 0.7967.

(b)

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P(4

Thus, the value of P (4 < X < 16) is 0.6826.

(c)

Compute the value of P (X < 8) as follows:

P(X

Thus, the value of P (X < 8) is 0.3707.

(d)

Compute the value of P (X < 20) as follows:

P(X

Thus, the value of P (X < 20) is 0.9525.

(e)

Compute the value of P (X > 16) as follows:

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**Use a <em>z</em>-table for the probabilities.

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