Let the length of second side be x" ,
So,
Length of first side = 2" shorter than second = ( x - 2 )"
Length of third side = 5" longer than second = ( x + 5 )"
=×=×=×=×=×=×=×=×=×=×=×=×=×=×=×=×=

Given, perimeter = 33"
= > first side + second side + third side = 33"
= > ( x - 2 ) + x + ( x + 5 ) = 33
= > x - 2 + x + x + 5 = 33
= > 3x + 3 = 33
= > 3x = 30

= > x = 10
Hence, length of each side is
First side = ( x - 2 )" = ( 10 - 2 )" = 8 inches
Second side = x " = 10 inches
Third side = ( x + 5 )" = ( 10 + 5 )" = 15 inches
Answer:
0.018 is the required probability.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 60,000 miles
Standard Deviation, σ = 1500 miles
We are given that the distribution of tread life is a bell shaped distribution that is a normal distribution.
Formula:
P(brand will last between 56,850 miles and 57,300 miles)
0.018 is the probability a certain tire of this brand will last between 56,850 miles and 57,300 miles.
Answer:
k = 
Step-by-step explanation:
Expand.
11k - 8 = 11 + 8k + 72
Simplify 11 + 8k + 72 to 8k + 83.
11k - 8 = 8k + 83
Add 8 to both sides.
11k + 8k + 83 + 8
Simplify 8k + 83 + 8 to 8k + 91.
11k = 8k + 91
Subtract 8k from both sides.
11k - 8k = 91
Simplify 11k - 8k to 3k.
3k = 91
Divide both sides by 3.
k = 
Answer:
C
Step-by-step explanation:
The surface area (A) of a sphere is calculated as
A = 4πr² ← r is the radius, here r = 12, hence
A = 4π × 12²
= 4π × 144 = 576π units² → C