Answer:
- 2
Step-by-step explanation:
The composition of inverse functions gives x
g(x) and (x) are inverse functions, then
(g(x)) = x , thus
(g(- 2)) = - 2
Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral EFGH on the graph below.
1 answer:
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Answer:
2.5
Step-by-step explanation:
t = 0.25
Substitute d with 100
t = 0.25 x ()
A number to the half power is equal to the square root of a number.
Square root of 100 is 10:
t = 0.25*10
t = 2.5
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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%