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8_murik_8 [283]

3 years ago

7

Ben is training for a triathlon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile in 1/9 of an hour he bikes for m

iles in 1/4 of an hour at these rates how many minutes does it take Ben to run 2 miles and bike 8 miles?

1 answer:

lisabon 2012 [21]3 years ago

3 0

Answer:120 minutes

Step-by-step explanation:

You see it's math

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Start with

$\dfrac{5(n+4)}{3} = n-8$

Multiply both sides by 3:

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3 years ago

A case of wine has 12 bottles, three of which contain spoiled wine. A sample of four bottles is randomly selected from the case.

asambeis [7]

Answer: (4Cx) × (0.25^x) × (0.75^4-x), mean =1, variance = 0.75

Step-by-step explanation:

Total bottle of wine = 12

Number of spoilt wine = 3

p(spoilt wine) = 3/12 = 1/4 = 0.25, q = 1 - 0.25 = 0.75.

n = number of bottles selected randomly = 4.

Since n = 4, then the experiment is of a binomial.

The probability mass function for a binomial distribution is given as

p(x=r) = nCr × p^r × q^n-r

The distribution for x is given below as

P(X=x) = (4Cx) × (0.25^x) × (0.75^4-x)

The mean for a binomial probability distribution is given as

Mean = np = 4×0.25 = 1

Variance = npq = 4×0.25×0.75 = 0.75

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