3. Twelve runners are asked to run a 10-kilometer race on each of 2 consecutive weeks. In one of the races, the runners wear one brand of shoe and in the other, a different brand. The brand of shoe a they wear in each race is determined at random. All runners are timed and are asked to run their best in each race. The results in minutes) are given below.

Use the test for matched pairs to determine if there is evidence that times using Brand 1 tend to be
faster than times using Brand 2. What is the approximate) value of the P-value?
A) 0.019
B) 0.042
C) 0.050
D) 0.073

no

step-by-step explanation:

answer

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63

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)