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NemiM [27]
3 years ago
9

According to a survey conducted by an environmental organization, the probability that an eligible voter cares strongly about en

vironmental issues is 0.63, the probability that an eligible voter votes regularly is 0.51 and the probability that an eligible voter both votes regularly and care strongly about environmental issues is 0.30. If an eligible voter is selected at random what is the probability that the person cares strongly about environmental issues but does not vote regularly
Mathematics
1 answer:
Alina [70]3 years ago
6 0

Answer:

The probability that the person cares strongly about environmental issues but does not vote regularly is P=0.33.

Step-by-step explanation:

We have:

Probability that the voter cares for the environment P(E)=0.63

Probability that the voter votes regularly P(R)=0.51

Probability that the voter votes regularly and cares for the environment P(R,E)=0.30

We have to calculate the probability that the voter cares for the environment but does not vote regularly P(not R, E).

We know that the probability that the voter cares for the environment is 0.63, and is divided between the ones that vote regularly and the ones that don't:

P(E)=P(R,E)+P(not R,E)=0.63

We also know that the probability that the voter votes regularly and cares for the environment is P(R,E)=0.30. Then:

P(E)=0.30+P(not R,E)=0.63

P(not R,E)=0.63-0.30=0.33

The probability that the person cares strongly about environmental issues but does not vote regularly is P=0.33.

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2/45

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The total number of balls in the jar is calculated as:

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The probability of drawing an orange ball = P(Orange) = 2/10

The probability of drawing a black ball = P(Black) = 2/10

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Mathematics with applications in the management, Natural, and Social Sciences Twelfth edition
Monica [59]

Answer:

In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers

Step-by-step explanation:

\left \{ {{10x+13y = 1125} \atop {-2x+7y = 495}} \right.

x=14

Boomer: 10(14)+13y=1125

               140+13y=1125

                       13y=1125-140

                       y= 985/13

                       y= 75.77 (75.77 millions of boomers in 2014)

Millenials: -2(14) +7y = 495

                  -28 +7y = 495

7y= 495+28

y= 523/7

y=74.71  (74.71 millios on millenials in 2014)

In 2014 the population of boombers were still greater than the population of millennials

The solution of the system of equations will give us the point where the populations were equalized, and from that point the population of boombers will be less than that of the millennials.

Boomers: 10x+13y = 1125

                 y= (-10x +1125)/13

Millenials: -2x+7y = 495

                 y= (2x+495)/7

We match both expressions of "y"

(-10x +1125)/13 =(2x+495)/7

cross multiply:

(-10x +1125)*7 =(2x+495)*13

-70x + 7875 = 26x + 6435

we group similar terms:

7875 -6435 = 26x+70x

1440 = 96x

x= 1440/96

x= 15

In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers

4 0
3 years ago
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