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Mkey [24]
3 years ago
8

Joesfina works between 10 and 30 hours per week at a pizzeria. She earns $8.50 an hour, but can earn tips when she delivers pizz

as. Write a system of inequalities to represent the dollars d she could earn for working h hours in a week. {please help me}
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
6 0

Answer:

85 + z <= x <= 255 + z

Step-by-step explanation:

An inequality system will be given by a lower limit and an upper limit, therefore it is only necessary to raise an equation for each case, h being the hours worked and z the extra money you can earn by delivering the pizzas:

For the lower limit:

8.5 * h + z, knowing that in this case it is 10 hours.

85 + z would be the lower limit value

For the upper limit:

8.5 * h + z, knowing that in this case it is 30 hours.

225 + z would be the upper limit value

Therefore the inequality system would be as follows, let x be the money earned:

85 + z <= x <= 255 + z

Which means that the money earned will be determined by the previous inequality.

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Suppose the heights of women at a college are approximately Normally distributed with a mean of 65 inches and a population stand
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Answer:

Step-by-step explanation:

Hello!

The variable of interest, X: height of women at a college, has an approximately normal distribution with mean μ= 65 inches and standard deviation σ= 1.5 inches.

You need to look for the value of height that marks the bottom 20% of the distribution, i.e. the height at the 20th percentile of the normal curve, symbolically:

P(X≤x₀)= 0.20

To know what value of height belongs to the 20% of the distribution, you have to work using the standard normal distribution and then reverse the standardization with the population mean and standard deviation to reach the value of X. So the first step is to look for the Z-value that accumulates 20% of the distribution:

P(Z≤z₀)=0.20

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Factoring this expression using the identity of a²-b² = (a+b)(a-b)

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