3 years ago

A computer is sold for a certain price and then its value changes exponentially over time.

Mathematics

1 answer:

sineoko [7]3 years ago

7 0

the computer loses 50%, percent of its value each year. (Answer)

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A pharmacist receives a shipment of 22 bottles of a drug and has 3 of the bottles tested. If 5 of the 22 bottles are contaminate

Norma-Jean [14]

Answer:

There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.

Step-by-step explanation:

$C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, we have that:

Total number of combinations:

$C_{22,3} = \frac{22!}{3!(18)!} = 1540$

Desired combinations:

It is 1 one 5(contamined) and 2 of 17(non contamined). So:

$C_{5,1}*C_{17,2} = 5*17*8 = 680$

What is the probability that exactly 1 of the tested bottles is contaminated?

$P = \frac{680}{1540} = 0.4416$

There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.

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