1. 3x+3y=15
-3y = -3y (subtract 3y from both sides)
3x = 15-3y
----------------------
3 = 3 3 (divide each number by 3)
x = 5- y
An adult polar bear is 8 times longer than a newborn.
Newborn= 12 1/2 ft
Multiply this by 8.
But first you have to turn the fraction
12 1/2 into an improper fraction. To do this you have to multiply the denominator, 2, by the whole number, 12, and add the numerator to the product, which totals to 25. The fraction is 25/2. (25/2 * 8/1)= 100 in simplified. 100 inches= 8 1/3 ft long
A= 8 1/3 ft long.
For B, you are dividing since you are trying to figure out the length of a newborn, not an adult polar bear. 9/8 turned into a mixed fraction is
1 1/8 ft. But, it asks in inches.
B= 13 1/2 inches
I know this answer is very long but I hope it helps you understand better!
:)
What I gather from the question is that
has second moment
and variance
, and you're asked to find the expectation and variance of the random variable
.
From the given second moment and variance, we find the expectation of
:

Expectation is linear, so

Using the same variance identity, we have

and

so that

Alternatively, we can use the identity

If your only solving for the perimeter, then the answer is 18yd.
Answer:
I am assuming that you meant to write π/5.
Step-by-step explanation:
Radius r = 5 meters
Circumference = 2πr = 10π
Central angle θ = π/5 radian
Arc length = 10π × θ/(2π radians)
= 5θ
= π meters