Apharmacist receives a shipment of 22 bottles of a drug and has 3 of the bottles tested. if 5 of the 22 bottles are contaminated, what is the probability that exactly 1 of the tested bottles is contaminated?

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

Step-by-step explanation:

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

In this problem, we have that:

Total number of combinations:

Desired combinations:

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

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

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

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional