Based on historical data, your manager believes that 35% of the company's orders come from first- time customers. A random sample of 86 orders will be used to estimate the proportion of first-time- customers. What is the probability that the sample proportion is greater than than 0.42?

sorry

step-by-step explanation:

sorry, but im pretty sure its a now that i look at it

6 and 24

step-by-step explanation:

6 x 4 = 24

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)

-23, -29, 34, -38, -45, -47, -59, 67, -78, -110, -514, 710