Angelita and Cynthia like to play a video game against each other that is scored by round. The goal is to score as many points as possible in each round. Here are summary statistics how many points they each score per round: Mean Standard deviation Angelita μ A = 900 μ A =900mu, start subscript, A, end subscript, equals, 900 σ A = 96 σ A =96sigma, start subscript, A, end subscript, equals, 96 Cynthia μ C = 800 μ C =800mu, start subscript, C, end subscript, equals, 800 σ C = 72 σ C =72sigma, start subscript, C, end subscript, equals, 72 Both distributions are approximately normal. Suppose we choose a round at random and calculate the difference between their scores. We can assume that their scores each round are independent. Find the probability that Angelita's score is higher than Cynthia's. You may round your answer to two decimal places.

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step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

3 4 7 12 19

+1 +3 +5 +6

i would guess 26 because this isnt a sequential pattern or its to short to know