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Ahat [919]
3 years ago
10

At a competition with 5 runners

Mathematics
2 answers:
kenny6666 [7]3 years ago
7 0

Answer:

Permutation; number of ways = 60

Step-by-step explanation:

ankoles [38]3 years ago
5 0

Answer:

B: Permutation;  Number of ways = 60

Step-by-step explanation:

First we have to decide if this is a problem of permutation or combination. The rule is:

  • If the order matters, permutations will be used
  • If order does not matter, combinations will be used

In this problem, they order of awarding the medals matters, so this is a permutation problem.

We have to award 3 medals among 5 runners. So this can be done in 5P3 ways:

nPr=\frac{n!}{(n-r)!}\\ \\ so\\ \\ 5P3=\frac{5!}{(5-3)!}=60

Therefore, there are 60 ways to award the medal. Therefore, the correct answer is B.

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Answer:

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Step-by-step explanation:

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3 years ago
A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f
mestny [16]

Answer:

The value is W= 2640 \  ft \cdot lb

Step-by-step explanation:

From the question we are told that

The weight of the bucket is F =  5 lb

The depth of the well is x_1 =  60 \ ft

The weight of the water is W_w  =  42 lb

The rate at which the bucket with water is pulled is v  = 1.5 \  ft/s

The rate of the leak is r = 0.15 lb/s

Generally the workdone is mathematically represented as

W =  \int\limits^{x_1}_{x_o} {G(x)} \, dx]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

G(x) =  F  +  (W_w- Ix)

Here I is the rate of water loss in lb/ft mathematically represented as

I  = \frac{r}{v}

=> I  = \frac{0.15 }{1.5 }

=> I  = 0.1

So

G(x) =  5  +  (42- 0.1x)

=> G(x) =  47- 0.1x)

So

W =  \int\limits^{60}_{0} {47- 0.1x} \, dx]

=> W =  [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.

=> W= [47(60) - 0.05(60)^2]

=> W= 2640 \  ft \cdot lb

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3 years ago
How can you write a quadratic function in standard form, given it’s vertex form?
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Justin bought 6 ribbons for an art project each ribbon has one fourth yard long how many yards of ribbon did Justin Buy
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1 and 1/2 because 1/4x 6= 1 and 1/2 
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If you roll a six-sided die, what is the probability that you will obtain a number greater than 2
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thee are 6 numbers on a die

 4 are greater than 2

 so you would have a 4/6, reduced to 2/3 probability

6 0
4 years ago
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