The amount of money Veronica has in her savings account after x months is shown in this scatterplot.
3000,
2500 (1, 2450)
2000
Savings (S)
(2, 2150)
•(3, 2100)
(4, 1700)
(5, 1600)
(6, 1450)
(7, 1300)
(8, 1000)
(9,750)
1500
1000
500
(10, 600)
O
2
4
10
12
6 8
Months
Based on the trend shown in the scatterplot, which of the
following best represents the amount of money Veronica
will have in her savings account at the end of 12 months?

For the chance to be team captain, the numbers 1-30 are put in a hat and you get two chances to pick a number, without replacement. which formula correctly shows how to find the probability that you choose the number 1 and then 2?

Which graph represents the linear function below? y-3=1/2(x+2)

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.