In a large high school, 18% of sophomores and 67% of seniors have part-time jobs. Suppose random samples of 32 sophomores and 31 seniors from this uigh school are asked if they have a part-time job. Let under and Pupper be the
sample proportions of sophomores and seniors, respectively, who have part-time jobs.
Which of the following is the correct shape and justification of the sampling distribution of Punder - Pupper?
O bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67
O approximately Normal because the expected numbers of successes and failures for each sample are all at least 10
O not approximately Normal because the expected numbers of successes and failures for each sample are all at least
10
O not approximately Normal because the expected numbers of successes and failures for the sophomores group are
not both at least 10

step-by-step explanation:

for exempl this   system of equations   y = x - 3

                                                                y = 2x - 5

look   the line : y = x -3     ( red)

                            the line : y = 2x -5 ( bleus)

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)