Let

denote the random variable for the weight of a swan. Then each swan in the sample of 36 selected by the farmer can be assigned a weight denoted by

, each independently and identically distributed with distribution

.
You want to find

Note that the left side is 36 times the average of the weights of the swans in the sample, i.e. the probability above is equivalent to

Recall that if

, then the sampling distribution

with

being the size of the sample.
Transforming to the standard normal distribution, you have

so that in this case,

and the probability is equivalent to

I'm not sure if this is right but you can set up an equation and solve to find Maggie's age:
Maggie's brother's age = b
Maggie's age = m
b = 12 - 3m
44 = 12-3m
12-3m = 44
-12 -12
-3m = 32
÷ 3 ÷3
m = 10.67
So this would be Maggie's age
I hope this helped :)
<span>The volume of the cylinder will be 2</span>π
As shown in figure, R is the base
radius of the cylinder.
H is the height of the cylinder.
Given: H = diameter of the base of
cylinder.
Now, diameter of the base = 2R
So, H = 2R
<span>Volume of cylinder = π×</span>
×H
<span> = π×</span>
×(2R)
<span> = 2 π </span>
cubic units.
Answer:
Step-by-step explanation:
square root of 121 is11
square root of x^2 is x
so 11x