A study done 15 years ago found that only 12% of adult South Africans had rudimentary literary skills. You believe that this proportion has increased. You randomly select 245 adults from around South Africa and find that 37 of them have rudimentary literary skills. Using this information, you do a hypothesis test using a 5% level of significance. Which of the following pairs of hypotheses do you use for your test?

A. H_0∶ π=0.15 vs H_a∶ π>0.15
B. H_0∶ π=0.12 vs H_a∶π >0.12
C. H_0∶π =0.12 vs H_a∶π ≠0.12
D. H_0∶π =0.12 vs H_a∶π <0.12
E. H_0∶ π =0.12 vs H_ a∶ π =0.15

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)

okay then that is your answer you know that 4 bottlkes of water cost ten $ at the music festival

step-by-step explanation: