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Soloha48 [4]
3 years ago
11

An electrician charges a $50 fee to make a service call plus $25 per hour he works. write an equation to represent the relations

hip between the two variables and tell whether or not it is proportional. explain your reasoning.
Mathematics
1 answer:
Kay [80]3 years ago
4 0
If x is the number of calls he makes and y is the number of hours he works;
the total amount he charges is termed as C
C = (50 * x) + (25 * y )
C = 50x + 25y
25y = C - 50x
the 2 variables are not proportional.
For 2 variables to be proportional, they need to be in the form y = mx 
Where m is a constant. When x increases, y too should increase by the same amount. 
The question given x and y are not proportional. As the number of hours he works and number of calls he charges are not dependent on each other. Therefore the 2 variables are not proportional.
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Michael Jordan's Freethrow, the population of the 6 countries and the distribution of the uninsured drivers are illustrations of probabilities

<h3>1. Michael Jordan Freethrow</h3>

The given parameter is:

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The given parameters are:

Average population = 268.35 million

Standard deviation = 370.43 million

<u>The z-scores for the United States, Egypt, and Mexico</u>

This is calculated as:

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So, we have:

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<u>The countries from the smallest to the largest </u>

By comparing the z-score of the countries, the order of the countries are:

Egypt, Japan, Mexico, Brazil, United States and India

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The given parameter is:

p = 12.6% -- the percentage of uninsured drivers

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This is calculated as:

P(x) = nCx * p^x * (1 - p)^(n-x)

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P(5) = 30C5 * (12.6%)^5 * (1 - 12.6%)^(30-5)

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P = P(First 6 are insured) * P(7th is unisured)

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P = (1 - 12.6%)^6 * (12.6%)^1

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The probability that exactly 5 drivers of 30 are uninsured is 0.1561, and the probability that the next uninsured driver is the 7th is 0.0562

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