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lilavasa [31]
3 years ago
6

What is the value of x in the triangle?

Mathematics
1 answer:
yulyashka [42]3 years ago
4 0
<h3>Answer: C) x = 13</h3>

====================================================

Work Shown:

We have a right triangle with legs a = 5 and b = 12. The hypotenuse is c = x which is unknown for now.

Use the pythagorean theorem to find x.

a^2 + b^2 = c^2

5^2 + 12^2 = x^2

25 + 144 = x^2

169 = x^2

x^2 = 169

x = sqrt(169)  .... apply the square root to both sides

x = 13

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Answer:

0.7558 = 75.58% probability this sale has occurred in Dallas

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Belt sold

Event B: Sold in Dallas.

Probability of belt being sold:

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30% of 100 - 65 = 35%(made in Phoenix). So

P(A) = 0.5*0.65 + 0.3*0.35 = 0.43

Sold in Dallas:

50% of 65%. So

P(A \cap B) = 0.5*0.65 = 0.325

What is the probability this sale has occurred in Dallas?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.325}{0.43} = 0.7558

0.7558 = 75.58% probability this sale has occurred in Dallas

6 0
3 years ago
A bicycle shop advertised all mountain bikes were priced at 1/4 discount.
oksano4ka [1.4K]
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Step-by-step explanation:

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