4-33. Lucy keeps track of how long it takes her to do the newspaper's crossword puzzle each day. Her recent times, in minutes, were: 8 22 19 12 18 19 10 35 12 19 16 21

This question is incomplete

Complete Question

Lucy keeps track of how long it takes her to do the newspaper's crossword puzzle each day. Her recent times, in minutes, were: 8 22 19 12 18 19 10 35 12 19 16 21

a. What is the median of her data? b. What is the mean?

a) 18.5

b) 17.583

Step-by-step explanation:

8 22 19 12 18 19 10 35 12 19 16 21

a. What is the median of her data?

The first step is to rearrange the numbers for least to greatest

8, 10, 12, 12, 16, 18, 19, 19, 19, 21, 22, 35

The formula for median = (n + 1)/2

n = number of terms = 12

= (12 + 1)th/2

= 13/2

= 6.5 th value

This means the value is between the 6th and 7th value

= 6th value = 18

7th value = 19

Hence, Median = 18 + 19/2

= 18.5

b. What is the mean?

Mean = Sum of terms/ Number of terms

= 8+ 10+ 12+ 12+ 16+18+19+19+19+21+ 22+35/12

= 211/12

= 17.583333333333

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18