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steposvetlana [31]
3 years ago
14

This season, the probability that the Yankees will win a game is 0.48 and the probability that the Yankees will score 5 or more

runs in a game is 0.57. The probability that the Yankees win and score 5 or more runs is 0.38. What is the probability that the Yankees lose and score fewer than 5 runs? Round your answer to the nearest thousandth.
Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

0.33

Step-by-step explanation:

We can think of this in tems of a venn diagram.

We have a rectangle, which represents the probabilities combined, which is 1.

Then we have two interlocking circles, the first representing the probability the yankees win, the second representing the probability the yankes score 5 or more runs, and the overlap representing the probability of both.

Therefore, the probability of losing and scoring less than 5 runs must be the area outside the circles but inside the rectangle.

The union of 'winning' and 'scoring 5 or more runs' is equal to the sum of the probability of either, minus the probability of both, which is 0.48+0.57-0.38 = 0.67.

Therefore the probability neither happen is 1-0.67 = 0.33

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The measure of 32° complement is 58°.

<h3>What is an angle?</h3>

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given,

The measure of an angle = 32°

Complimentary angles are those angles whose sum is 90°

So,

Compliment + 32° = 90°

Compliment = 90 - 32 = 58°.

Hence "The measure of 32° complement is 58°".

For more about the angle,

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2 years ago
6 m
dimulka [17.4K]

Answer:

51.63m^3

Step-by-step explanation:

The figure is made up of a rectangle, triangle and a semi circle

Area of the figure = Area of triangle + rectangle + semicircle

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * 3 * 5

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Area of the rectangle = 6 * 5

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Area of the semicircle = πr²/2

Area of the semicircle = π(3)²/2

Area of the semicircle = 3.14(9)/2

Area of the semicircle = 3.14 * 4.5

Area of the semicircle = 14.13m^2

The area = 30 + 14.13+7.5

Area of the figure = 51.63m^3

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