Step-by-step explanation:
Answer:
<h3>Part A</h3>
<u>A particular man on the seat, then 2 men are out of 4:</u>
- 4C2 = 4!/(4-2)!2! = 4*3*2/2*2 = 6
<u>4 women out of 7:</u>
- 7C4 = 7!/(7-4)!4! = 7*6*5*4!/3!4! = 35
<u>Total combinations:</u>
<h3>Part B</h3>
<em>Option 1</em>. 2 men excluded
3 men out of 3 and 4 women out of 7
<u>Total ways:</u>
<em>Option 2</em>. 2 women are excluded
<u>3 men out of 5 and 4 women out of 5</u>
- 5C3*5C4 =
- 5!/3!(5-3)! * 5!/4!(5-4)! =
- 5*4/2 * 5/1 = 10
<em>Option 3</em>. 1 man and 1 woman excluded
<u>3 out of 4 men and 5 out of 6 women:</u>
- 4C3*6C5 =
- 4!/3!(4-3)! * 6!/5!(6-5)! =
- 4*6 = 24
<h3>Part C</h3>
<u>No restrictions, so the number of ways:</u>
- 3C5 * 7C4 =
- 5!/3!(5-3)! * 35 =
- 4*5/2 * 35 =
- 10*35 = 350
<span>Each pepper shaker has 7/80 kilograms of pepper.
First, determine how much black pepper Brian distributed to all the pepper shakers. Do this by multiplying 7/10 by 7/8.
7/10 * 7/8 = 49/80
Now divide 49/80 by 7 to get the amount of pepper in each shaker. Division is the same as multiplication by the reciprocal, so multiply by 1/7. So
49/80 * 1/7 = 49/560 = 7/80
So each pepper shaker has 7/80 kilograms of pepper.</span>
Answer:
D
Step-by-step explanation:
y = 1.25 ^ x will have the greatest value as x => infinity because the largest exponent in the equation defines that equations end behavior, and y = 1.25^x will have the largest exponent as x => infinity.
Answer:
8.78 = 9.00
6.32 = 6.00
9.17 = 9.00
9 + 6 + 9 = 24
Estimated total spend is approximately €24.00.