Answer:
13/4096
Step-by-step explanation:
There are 12 ways the player can make 11 shots and miss one shot, and there is 1 way the player can make all shots, so there is a total of 13 ways that the player makes at least 11 out of 12 free throws.
The total number of possibilities for the free throws is 2^12 = 4096
Therefore, the probability that the player makes at least 11 out of 12 free throws is 13/4096
Answer:
Step-by-step explanation:
Base (B) = 14.5
Height (H)= 7.1
Area of Δ =1/2 × B × H
C = circumference of circle
p = perimeter of square
c + p = 29
p = 29 - c
side of square = (29 - c)/4
radius of circle = c/(2pi)
a = side^2 + (pi)r^2
a = ((29 - c)/4)^2 + pi * (c/(2pi))^2
a = (1/16)(841 - 58c + c^2) + (c^2/(4pi^2)) * pi
a = 52.5625 - 3.625c + c^2/16 + c^2/(4pi)
Since the 2nd degree term has a positive coefficient is positive, this has a graph that is a parabola opening up. It has a minimum value.
We take the derivative of the area expression and set equal to zero to find the minimum circumference.
da/dc = -3.625 + c/8 + (c/(2pi)) = 0
c = 12.76
Answer: 12.76 cm
Ratio of classes A, B, C = 4 : 6 : 5, respectively
4 + 6 + 5 = 15
So, class A represents 4/15 of the TOTAL population
Class B represents 6/15 of the TOTAL population
Class C represents 5/15 of the TOTAL population
So, weighted average of 3 groups combined = (4/15)(65) + (6/15)(80) + (5/15)(77)
= 260/15 + 480/15 + 385/15
= 1125/15
= 75
Answer: B
