115 VUTULUI.
1. A fast food restaurant collects the soft drink cans for recycling. The number of cans collected in
two weeks are given below.
84, 97, 77, 31, 84, 63, 58, 72, 47, 84, 69, 94, 43, 68
Mean:
Median:
Mode:

69

70.5

84

Step-by-step explanation:

Firstly, we need to sort this list of numbers in order to perform calculations on it.

To find the mean we must add up and divide by the amount of numbers there are.

To find the median we must find the number in the middle of the set.

As there are two numbers in the middle positions, 69 and 72.

We must take the average of these two numbers to determine the middle.

The most is the most common number, which is 84.

step-by-step explanation:

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)