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choli [55]
3 years ago
14

A thief who is particularly knowledgeable about statistics and the legal system determines that if he commits a given heist the

probability that he is never caught is 60%. If he is arrested he will go to trial where there is a 30% chance the jury will acquit him, a 30% chance he is convicted and serves a prison sentence less than five years, and a 40% chance the sentence is more than five years.
What is the probability that the thief is not imprisoned in 5 years?

What is the probability that the thief was arrested given that he is not imprisoned in 5 years?
Mathematics
1 answer:
wolverine [178]3 years ago
3 0

9514 1404 393

Answer:

  about 28.6%

Step-by-step explanation:

The conditional probability equation can be used:

  P(arrested | not in jail) = P(arrested & not in jail)/P(not in jail)

  = 0.24/0.84 = 2/7 ≈ 28.6%

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ki77a [65]

Answer:

The answer is x>2, x has to be greater than 2,

the answer is 4 since it is greater than 2

4 0
3 years ago
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MariettaO [177]
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5 0
3 years ago
Tom’s Sporting Goods pays $37 each for a certain brand of basketball.Tom marks up the price by 45%.To the nearest cent,what is t
maks197457 [2]

Answer: 53.65


Step-by-step explanation

First you need to write out the equation

37 x  .45 = 16.65

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6 0
3 years ago
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
olchik [2.2K]

The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

Step-by-step explanation:

The given is,

          Cylinder has a 5 centimeters height

          Diameter of the cylinder is 1.5 centimeters

Step:1

          Formula for the surface area of cylinder is,

                     A=2\pi r h + 2\pi  r^{2}......................................(1)

          Where,

                   h - Height of cylinder

                   r - Radius of cylinder

        From the values of h and r,

                   r=\frac{d}{2}

                      = \frac{1.5}{2}

                   r  = 0.75 cm

       From the formula,

                      = ( 2 × \pi × 0.75 × 5 ) + ( 2 × \pi × 0.75^{2} )

                      = ( 7.5 \pi ) + ( 1.125 \pi )

                  A = 8.625\pi cm^{2}

Result:

        The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

3 0
4 years ago
Factor the polynomial completely x4-36​
Olegator [25]

Answer:

The factors of the polynomial are x = ± \sqrt{6}

Step-by-step explanation:

consider x⁴ - 36 = 0

(x² - 6) (x² + 6) = 0

x² = 6 and x² = -6

∴ x =  ±\sqrt{6}

The factors of the polynomial are x = ± \sqrt{6}

5 0
3 years ago
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