Answer:
SA = 2πr² + 2πrh
Step-by-step explanation:
2πr² will provide the surface area of the top and bottom of the cylinder
2πrh will provide the surface area of the cylinder portion that connects the top and bottom
Answer:
The probability that they each win six games is 0.225.
Step-by-step explanation:
Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.
To find : The probability that they each win six games?
Solution :
Applying binomial distribution,
Here n=12 and p=0.5

The probability that they each win six games is k=6.




Therefore, The probability that they each win six games is 0.225.
Answer:
z=1.96
Step-by-step explanation:
Using normal distribution table or technology, 97.5% corresponds to z=1.959964, generally denoted z=1.96, or 1.96 standard deviations above the mean.
(above value obtained from R)
Answer:
c
Step-by-step explanation:
Two sum of any two side lengths of a triangle will always be greater than the length of the remaining side
a doesn't work because 8+12=20 and 20 is not greater than 20
b doesn't work because 4+5=9 and 9<10
d doesn't work because 6+6=12 and 12 is not greater than 12
c is the only option where you can take any two sides, add them, and the sum will be greater than the remaining side.
For example, for c,
6+8=14, and 14>10
8+10=18, and 18>6
10+6=16, and 16>8
The answer is (3,2)
To get this answer we either...
A) Multiply both coordinates by 1/3
or
B) Divide each coordinate by 3
9*(1/3) = 9/3 = 3
6*(1/3) = 6/3 = 2