1. A farmer estimates her hens will produce 3,000 dozen more eggs this year than last year.
She estimates the probability of her net profit or
loss on each dozen eggs based on her costs.
SEE EXAMPLE 1
Egg production last year: 12,000 dozen
Estimated Net Profit per Dozen Eggs
Net profit 8 6 4 2 °
8 6 4 2 0
(¢ per doz)
Probability 0.1 0.4 0.2 0.1 0.1 0.1

What is her expected profit per dozen eggs?

What is her expected profit on the total egg
production?

2,600 divided by 80 = 32.5

step-by-step explanation:

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.

95.03 is the answer. hope this !

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240