To solve
this exercise, we must calculate the Maximum Common Divisor (M.C.D.), which is the greatest common divisor of 62,108 and 180. We apply factor decomposition, and we
obtain:
162= (3^4)(2)
108= (2^2)(3^3)
180= (2^2)(3^2)(5)
We choose
the common numbers with their lowest exponent:
M.C.D.= (2)(3^2)
M.C.D.= 2x9
M.C.D.= 18
The greatest number of baskets that can be made is: 18 baskets
To know how
many apples, oranges and bananas are in each basket, we must divide the
greatest number of them that can be made between the total amount of apples,
oranges and bananas, as shown below:
162/18= 9 apples
108/18= 6 oranges
180/18= 10 bananas
So, there are 9 apples, 6 oranges and 10 bananas in each basket.
The conditional probability that a Philadelphian who got the flu got a flu shot is of:
0.4375 = 43.75%.
<h3>What is Conditional Probability?</h3>
Conditional probability is the probability of one event happening, considering the outcome of a previous event.
The formula is presented as follows:

In which each probability in the formula is described as follows:
- P(B|A) is the probability of the event B happening, given that the event A happened.
is the probability of both the events A and B happening.
- P(A) is the probability of the event A happening.
In the context of this problem, the events are described as follows:
- Event B: Got the flu shot.
The probability of people who got the flu is obtained as follows:
- 2% of 70%. (got the shot).
- 6% of 30%. (did not get the shot).
Hence:
P(A) = 0.02 x 0.7 + 0.06 x 0.3 = 0.032.
The probability of both getting the flu and the shot is:
P(A and B) = 0.02 x 0.7 = 0.014.
Hence the conditional probability that a Philadelphian who got the flu got a flu shot is calculated applying the conditional probability formula as follows:
P(B|A) = P(A and B)/P(A) = 0.014/0.032 = 0.4375 = 43.75%.
More can be learned about conditional probability at brainly.com/question/14398287
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T/-4=9 then the answer is -4x9=-36
Answer:
Step-by-step explanation:
-4
x
6
x = {-4,-3,-2,-1,0,1,2,3,4,5,6}
Hope I helped...
-1/7,0,1/7 is the answer!!!