Answer:
336 ways ;
56 ways
Step-by-step explanation:
Number of ways to have the officers :
Number of qualified candidates, n = 8
Number of officer positions to be filled = 3
A.)
Using permutation (since the ordering matters):
nPr = n! ÷(n-r)!
8P3 = 8! ÷ (8-3)!
8P3 = 8! ÷ 5!
8P3 = (8*7*6)
8P3 = 336 ways
B.) Different ways of appointing committee: (ordering doesn't count as officers can also be appointed)
Using the combination relation :
nPr = n! ÷(n-r)!r!
8C3 = 8! ÷ (8-3)! 3!
8C3 = 8! ÷ 5!3!
8C3 = (8*7*6) ÷ (3*2*1)
8C3 = 336 / 6
8C3 = 56 ways
Answer:
39.25 cubic feet of paint will be needed by Ellis.
Step-by-step explanation:
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder of radius r and height h is given by:
V = \pi r^2h = 3.14r^2h
How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?
This is the combined volume of these 10 fenceposts.
They are each 5 feet tall and have a diameter of 1 foot.
Radius is half the diameter, so r = \frac{1}{2} = 0.5. Also h = 5
10 fenceposts:
Each has the same volume, so:
V = 10(3.14)r^2h = 31.4(0.5)^2(5) = 39.25
39.25 cubic feet of paint will be needed by Ellis.
hope this helps
The number of customers I would have expected to win the prize is 6.
<h3>How many more customers would I have expected to win the prize?</h3>
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Based on the probability, the number of customers I would have expected to win: 0.18 x 300 = 36
How many more people I would have expected to win : 36 - 30 = 6
Please find attached the complete question. To learn more about probability, please check: brainly.com/question/13234031
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70% have pepperoni
70% of 15,000
= 10,500
Out of the 10,500, 2/3 have peppers too
1/3 of 10,500
= 3,500
2/3 of 10,500
= 7,000
Answer: B
Answer:
blue is the best color to use in this situation
Step-by-step explanation:
