Aaron travels 3 miles per hour in still water on his kayak. The expression 12 3 + x can be used to find the time it takes for hi
m to travel with the current. If x represents the rate of the current, what does the denominator represent? A. the rate Aaron travels against the current B. the rate of the current C. the total distance Aaron kayaks D. the rate Aaron travels with the current
1 answer:
Answer:
A. The rate Aaron travels with the current
Step-by-step explanation:
Distance travelled = 3 mph in still water(downstream)
Time it takes for him to travel with the current = 12 / (3+x)
Where,
x = rate of the current
Denominator, 3 + x = The rate Aaron travels with the current
Therefore, the correct answer is
A. The rate Aaron travels with the current
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-Charlie
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%
