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LuckyWell [14K]
3 years ago
5

A certain oil refinery keeps intermediate products in 8 tanks. There are 15 pumps of varying capacity that can be assigned to pu

mp the intermediate products from the 8 tanks into a final-product tank. Question: How many ways can you assign the 15 pumps to the 8 tanks so that each tank gets at least one pump?
Mathematics
1 answer:
Furkat [3]3 years ago
4 0

Answer:

Step-by-step explanation:

This question is permutation problem. permutations is the number of arrangements or orderings within a constant group.

The formula for permutation is given as

nPk = n!÷(n-k)!

Where n is the number of objects, k is the is the number of objects we want to chose from.

Solution to the question

15P8 = 15!÷(15-8)!

= 15!÷7!

= 15×14×13×12×11×10×9×8×7×6×5×4×3×2×1÷7×6×5×4×3×2×1

= 259459200

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lubasha [3.4K]

Answer:

a) Name the transversal connecting 1 and 5. Line r b) Name the transversal connecting 7 and 14. Line q c) Name the transversal connecting 8 and 11. Line s d) Name the transversal connecting 6 and 15. Line q e) Name the transversal connecting 3 and 9. Line p

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3 years ago
Can a triangle have sides with the given lengths? Explain.<br> a = 6 yd, b = 9 yd, c = 11 yd
RideAnS [48]

Answer:

Step-by-step explanation:

Use the cosine rule and see if the numbers hold true. a^2 = b^2 + c^2 - (2bc (cos x))

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2 years ago
In which of the expressions below will x = 2.5? Select all that apply. A) 10x+209=5 B) 10x–12=38 C) 9x+18=45 D) 6x=15 E) 12x–4=2
Vinil7 [7]

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Step-by-step explanation:

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2 years ago
How do you change 20.25 into a fraction
bearhunter [10]

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81/4

Step-by-step explanation:

I know this because I did this before

7 0
3 years ago
Read 2 more answers
Kyle spends an equal amount of money each day. After 4 days, he had 4/5 of his money left. After another 10 days he had $30 left
Elden [556K]
4 days spending equal amounts so if x is how much he spends per day and y is the original amount then 4x=1/5y bc he has 4/5 left meaning what he spent was 1/5 of the original and after 10 more days which was 14 total he spent all but 30 so the total minus 30 will be how much kyle spent so
14x=y-30 which is y=(14x+30) and substitute that in for y in 4x=1/5y so 4x=1/5 (14x+30)
20x=14x+30
6x=30
x=5 and plug that in either of the original equations 4(5)=1/5y
y=100
so he had $100 and spent $5 per day
4 0
3 years ago
Read 2 more answers
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