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A paint store sells exterior paint for $35.25 a gallon and paint rollers for $7.50 each write an equation in standard form of th
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a) Net result of Tamiko's transactions = $143.75
b) Total amount she can save = $86.25
Step-by-step explanation:
Step 1 :
Given,
Amount Tamiko got in her first check = $109.60
Amount of the bonus check = $34.15
Fraction of the amount she wants to save =
We need to find the net results of her transactions and the amount she will save
Step 2 :
The new result of her transactions can be computed by adding the amount she has received through both the check.
Total amount she received = 109.60 + 34.15 = 143.75
Total amount she can save = × 143.75 = 86.25
Step 3 :
Answer :
a) Net result of Tamiko's transactions = $143.75
b) Total amount she can save = $86.25
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%