8. in many courts, 12 jurors are chosen from a pool of 30 perspective jurors.
a. in how many ways can 12 jurors be chosen from the pool of 30 perspective jurors?
b. once the 12 jurors are selected, 2 alternates are selected. the order of the alternates is specified. if a selected juror cannot complete the trial, the first alternate is called on to fill
that jury spot. in how many ways can the 2 alternates be chosen after the 12 jury members have been chosen?

The number of ways to select 12 jurors are 86493225.

The number of ways to select 2 alternates are 306.

Step-by-step explanation:

Consider the provided information.

In many courts, 12 jurors are chosen from a pool of 30 perspective jurors.

Part (A):  In how many ways can 12 jurors be chosen from the pool of 30 perspective jurors?

Since order doesn't matter so we will use combination.

Use the formula for combination

Substitute n=30 and r=12 in above formula.

Hence, the number of ways to select 12 jurors are 86493225.

Part (B) Once the 12 jurors are selected, 2 alternates are selected. The order of the alternates is specified. If a selected juror cannot complete the trial, the first alternate is called on to fill  that jury spot. In how many ways can the 2 alternates be chosen after the 12 jury members have been chosen?

Here 12 jury members have been chosen, so 30-12=18 perspective jurors are left.

From 18 perspective jurors we need to select 2 alternates.

Since the order of the alternates matter so we will use permutation:

The formula for permutation is:  

Substitute n=18 and r=2 in above formula.

Hence, the number of ways to select 2 alternates are 306.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

well my understanding of this question is they want you to use the y=14.1x -2.3 and put the coordinates they gave you onto the line segment of   y=14.1x -2.3

step-by-step explanation: