Answer:
chancing for wining is 54%.
Step-by-step explanation:
possible outcomes can be given as
HHH *
HHM *
HMH
MHH *
HMM
MHM
MMH
MMM
Out of those, only 3 will have the participant win the game:
HHH, HHM, MHH.
Probability (HHH) + Probability (HHM) + Probability (MHH)
since attempts are independant.
Probability (HHH) = 0.9 *0.4 *0.9 = 0.324
Probability (HHM) = 0.9 *0.4 *0.3 = 0.108
Probability (MHH) = 0.3 *0.4 *0.9 = 0.108
Add them up and get = (0.324+ 0.108+0.108) = 0.54
hence, chancing for wining is 54%.
Answer:
d
Step-by-step explanation:
3x+6=21
-6+21= 15
15÷3=5
Absolute value of any number is always positive because it represent distance and distance will always positive.
To place chimney at least 30 feet , the distance along the width of the roof (x) will be x = 17.5 feet or x = 2.5 feet.
Since, The height of the roof is described by the function f(x)=−4/3|x−10| + 40
Since, minimum height is 30 feet.
So , substitute f(x)=30 in above expression.
30=−4/3|x−10| + 40
4/3|x−10| = 10
|x−10|=30/4
|x−10| = 7.5
Taking positive case,
x−10 = 7.5
x = 17.5 feet
Taking negative case,
x−10 = - 7.5
x = 10 - 7.5
x = 2.5 feet
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