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

Answer:
12
Step-by-step explanation:
the shapes are similar which means the sides are proportional, you can set up a ratio using the sides as 10/40 = 3/x
solving that gives you x =12
Answer:
6x^2 -10
Step-by-step explanation:
(5x²+2) - (-4x²+7)+(-3x²-5)
Distribute the minus sign
(5x²+2) +4x²-7 +(-3x²-5)
Combine like terms
5x²+4x²-3x² +2-7-5
6x^2 -10
Answer:
176 miles
Step-by-step explanation:
- you have to know how many 1/4ths are in 2 3/4
- 4×2= 8 +3 = 11 so 11/4ths.
- there are 11 , 1/4ths
- determine the total mileage by multiplying 11 by 16
- 11×16=176
- 176 miles in total