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Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.
Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240
Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160
Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52
Answer:
Step-by-step explanation:
Move the decimal point in the divisor and dividend.
Turn the divisor (the number you’re dividing by) into a whole number by moving the decimal point all the way to the right. At the same time, move the decimal point in the dividend (the number you’re dividing) the same number of places to the right.
Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.
Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.
Line up each digit in the quotient just over the last digit in the dividend used in that cycle.
Answer:
H₀: μs = μf
H₁: μs ≠ μf
Step-by-step explanation:
Hello!
If the company wants to compare the sales of both departments "snacks" and "frozen foods" to see if there is any difference, the best is to compare the average number of sales of them.
Then the parameters of interest will be:
μs= average number of sales of the "snacks" department.
μf= average number of sales of the "frozen food" department.
The objective is to test if there is any difference between both departments, then the hypothesis should be two-tailed:
H₀: μs = μf
H₁: μs ≠ μf
I hope it helps!
3x - 10 < 2
3x < 2 + 10
3x < 12 Divide through by 3.
x < 12/3
x < 4