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Rainbow [258]
3 years ago
7

The Westerburg High School Soccer Team performs differently in the rain than they do when it doesn't rain. When it rains they ha

ve a 80% chance of winning, but when it doesn't rain they have a 50% chance of winning.
Today there is a 60 % of rain. What is the chance that they win their game today?

A)48%B)50%C)52%D)68%
Mathematics
1 answer:
marusya05 [52]3 years ago
8 0
The correct answer is Choice D: 68%.

You have to make a tree diagram with all of the possibilities.

Here are the possibilities:

Rain - Win = 0.6 x 0.8 = 0.48
Rain - Loss = 0.6 x 0.2 = 0.12

No Rain - Win = 0.4 x 0.5 = 0.2
No Rain - Loss = 0.4 x 0.5 = 0.2

Adding up the two winning options gives us 68%
0.48 + 0.2 = 0.68
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Using integration, it is found that the area between the two curves is of 22 square units.

<h3>What is the area between two curves?</h3>

The area between two curves y = f(x) and y = g(x), in the interval from x = a to x = b, is given by:

A = \int_{x = a}^{x = b} |f(x) - g(x)| dx

In this problem, we have that:

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A = |3^3 - 54 - 1^3 + 6|

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More can be learned about the use of integration to find the area between the two curves at brainly.com/question/20733870

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