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eduard
1 year ago
8

A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50,

with a standard deviation of $3.50. assume the distribution of hourly wages follows the normal probability distribution. we select a crew member at random. what is the probability the crew member earns
Mathematics
1 answer:
RSB [31]1 year ago
8 0
You ended without giving the values, so we can't get the exact answer. However, I can tell you steps.

First, you need to find the z-score. Then, look up the z-score on a normal distribution table and you will get the percent.

Let's call your value X. Just plug X into the equation below and you will have your z-score.

(x - 20.5) / 3.5 = z

Now, look up the z-score and you will have your probability.<span />
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A computer randomly selects a letter from the alphabet.
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1) 26 different outcomes are in the sample space.

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<u>Step-by-step explanation:</u>

<u>1) You have to find out the different outcomes in the sample space :</u>

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Therefore, the sample space must contain all the possible alphabets that can  be chosen randomly.

The sample space is the set of all the 26 alphabets in English language.

⇒ Sample space = {A,B,C,D...........,Y,Z}

⇒ 26 different outcomes.

<u>2) The probability the computer produces the first letter of your first name :</u>

Here, the required outcome is getting the first letter of your first name.

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For example, The name Alex Davis has the first letter of the fist name as alphabet 'A'.

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1 year ago
The DiMonte Corporation invented a new type of sunglass lens. Their variable expenses are $12.66 per unit, and their fixed expen
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Answer:

a)one lens: 111,212.66

15000 lenses: 301,100

b)y=111,200+12.66x

slope: 12.66

c)12.66 dollars per unit of lens produced

d) 20.07

e) 19.2

f)decreases

Step-by-step explanation:

a) Cost of producing one lens

fixed expenses+variable expenses=111,200+12.66=111,212.66

Cost of producing 15,000 lenses

fixed expenses+variable expenses=111,200+12.66(15,000)=301,100

b)Expense function:

let y be the expense cost

let x be the number of lenses produced

y=111,200+12.66x

Slope:

The function is  a line equation: y=mx+b where m is the slope.

In this case b=111,200 and m=12.66. So the slope is 12.66

c) the cost increases 12.66 dollars per unit of lens produced

d) The cost of producing 15000 lenses is:

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If DiMonte produces 15000 lenses, the average cost per lens is:

301,100/15000=20.073≈20.07

e)The cost of producing 17000 lenses is:

111,200+12.66(17,000)=326,420

If DiMonte produces 17000 lenses, the average cost per lens is:

326,420/17,000=19.2

f)The average per lens decrease.

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2 years ago
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