A 5 pound bag of candies contains about 2500 pieces. If the company makes 4.7 million bags per year, about how many pieces of ca
2 answers:
Answer: The required number of pieces of candies made per year is 11,750,000,000.
Step-by-step explanation: Given that a 5 pound bag of candies contains about 2500 pieces and the company makes 4.7 million bags per year.
We are to find the number of pieces of candies that are made per year.
We will be using the UNITARY method to solve the given problem.
Number of pieces of candies in a 5 pound bag = 2500
So, the number of pieces of candies in 4.7 million bags will be
Since 4.7 million bags are made per year, so the number of pieces of candies that are made per year is 11,750,000,000.
Thus, the required number of pieces of candies made per year is 11,750,000,000.
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We have given the table of number of male and female contestants who did and did not win prize
The probability that a randomly selected contestant won prize given that contestant was female is
P(contestant won prize / Contestant was female)
Here we will use conditional probability formula
P(A/B) =
Let Event A = selected contestant won prize and
event B = selected contestant is famale
Then numerator entity will
P(A and B) = P(Contestant won prize and Contestant is female)
= Number of female contestant who won prize / Total number of contestant
= 3 /(4+9+3+10)
= 3 / 26
P(A and B) = 0.1153
P(B) = P(contestant is female )
= Number of female contestant / Total number of contestants
= (3+10) / 26
P(B) = 0.5
Now P(A / B) =
= 0.1153 / 0.5
P(A / B) = 0.2306
The probability that randomly selected contestant won prize given that contestant is female is 0.2306
Converting probability into percentage 23.06%
The percentage that randomly selected contestant won prize given that contestant is female is 23%