Answer:
Step-by-step explanation:
Given
The slant height of the square pyramid is
The length of the side of the base is
for the square pyramid, height is given by
Thus, the height of the prism is
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%
Answer:
9/20
Step-by-step explanation:
36+24+20=80
36/80= .45
.45= 9/20
Since the triangles are congruent and m<I is congruent to m<P.
Therefore, 3x + 4 = 72 - x
3x + x = 72 - 4
4x = 68
x = 68/4 = 17
x = 17
Answer:
9.39
Step-by-step explanation:sorry, i just need to type an explanation