Answer:
The width of the rectangular prism is 9 cm.
Step-by-step explanation:
From the formula of the volume of a bar
we see that
cm.
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
The value is
![0.1](https://tex.z-dn.net/?f=0.1)
or
![\frac{1}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B10%7D%20)
, since it is in the tenths place.
Answer:
A is $490 and B is 3990
Step-by-step explanation:
The way I solved this is with my last brain cells, you welcome.
21/25 is the highest score
Divide 21 by 25 and you will get .84
Which is 84%