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borishaifa [10]
3 years ago
6

35. A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard sh

ift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45). a. How many selections result in all 6 workers coming from the day shift
Mathematics
1 answer:
den301095 [7]3 years ago
3 0

Answer:

38760 selections result in all 6 workers coming from the day shift.

Step-by-step explanation:

The order in which the workers are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

a. How many selections result in all 6 workers coming from the day shift:

20 workers are employed on the day shift, so this is a combination of 6 from a set of 20.

C_{20,6} = \frac{20!}{6!(20-6)!} = 38760

38760 selections result in all 6 workers coming from the day shift.

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Alchen [17]
Answer: 1/10 of the store's total sales last month were in appliances (lower right corner)

=============================================

Explanation: 

Let's go through the four possible answers

In the upper left corner it says "Total mobile phone sales is likely 27,000" which is a paraphrase of what is given. The chart gives 9000 as the phone sales for that one particular store. If all stores are identical in performance, then we have 4*9000 = 36000 in total mobile phone sales. Of course, it's impossible to know for sure how the other stores did. So we can eliminate this as one of the answers.

In the upper right corner, it says "13% of the stores sales was in car electronics" (also paraphrased). We have 13 thousand in car electronics out of 17+13+6+9+15 = 60 thousand total. Divide the two values: 13/60 = 0.2167 = 21.67% approximately. So we can eliminate this as an answer.

In the lower left corner, it says "the total sales is likely greater than $300,000" but we don't know for sure because again we don't have the other charts for the three other stores. Assuming the four stores perform the same, then we'd have 4*60 = 240 thousand as the total and not 300 thousand. It's safe to say we can eliminate this as an answer.

In the lower right corner, it says "1/10 of the stores sales were appliances". This statement is true. Why? Because 6 thousand is the sales figure for appliances out of 60 thousand total. Divide the values: 6/60 = 1/10. So this is why the lower right corner is the answer.
6 0
2 years ago
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Simplify the expression:
lisov135 [29]
Combine like terms
There are 2 terms with x so you add them
Answer: 9x+5y
8 0
3 years ago
I need help with a math question, ASAP!! Please, I will give Brainliest. Below is a screenshot of the math problem
Dmitrij [34]
Y = 6x
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(substitute y = 6x in the ‘y’ spot in 4x + y = 7)
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(substitute x = 7/10 in the ‘x’ spot in either of the two equations)
y = 6x
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x = 7/10
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2 years ago
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Serial numbers for a product are to be made using 3 letters followed by 3 digits. The letters are to be taken from the first 5 l
Bezzdna [24]

Answer:

43,200 serial numbers can be generated

Step-by-step explanation:

The ordering for the letters and the digits are important. For example, 012 constitutes a different serial number than 210. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

How many serial numbers can be generated

3 letters, from the first five of the alphabet

3 digits, from a set of 10

So

T = P_{5,3}*P_{10,3} = \frac{5!}{(5-3)!}*\frac{10!}{(10-3)!} = 43200

43,200 serial numbers can be generated

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A restaurant owner is interested in the proportion of his customers who order dessert. He looks at 65 randomly selected receipts
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Answer:

c. Population

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All customers who come to the restaurant are the population.

The 65 randomly selected customers are the sample.

The correct answer is:

c. Population

4 0
3 years ago
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