a. The first part asks for how many ways they can be seated together in a row. Therefore we want the permutations of the set of 6 people, or 6 factorial,
6! = 6
5
= 30
4
= 360
2 = 720 possible ways to order 6 people in a row
b. There are two cases to consider here. If the doctor were to sit in the left - most seat, or the right - most seat. In either case there would be 5 people remaining, and hence 5! possible ways to arrange themselves.
5! = 5
4
= 20
3
= 120
1 = 120 possible ways to arrange themselves if the doctor were to sit in either the left - most or right - most seat.
In either case there are 120 ways, so 120 + 120 = Total of 240 arrangements among the 6 people if the doctor sits in the aisle seat ( leftmost or rightmost seat )
c. With each husband on the left, there are 3 people left, all women, that we have to consider here.
3! = 3
2 6 ways to arrange 3 couples in a row, the husband always to the left
Answer:
The answer is D
Step-by-step explanation:
Multiply by 2, then divide by pi, then find the square root of both sides and you have the answer.
The answer is y = 3/5x + 3
A. this would be -1 because that is the y intercept as in where it meets the y axis.
b. the slope or rate of change would be 3 or 3 over 1. just follow the y=mx+b form. m=slope and b=yintercept or where the line meets the y axis. hope I helped
Answer:
I belive it's $703.13
Step-by-step explanation:
She worked for 40 hrs which will give her, her normal pay. You do 450/40 to get 11.25. So her normal pay is $11.25. Then it says she earns 1.5 times the normal amount, so you would do 11.25 * 1.5. That equals 16.875. so her pay for every hour after 40. 55-40=15. That means she will have 15 hours where she gets 1.5 times her normal pay. So you do 16.875 * 15=253.125. She gets $253.125 for her extra 15 hours of work. Next, you need to add the total amount earned for the 40 hours. 450+253.125=703.125. Her total for the week she worked 55 hours she earns $703.13.
I hope this makes sence and helps. ( * means multiply)