Hi! :) 19.7 - 6.8 is 12.9. If you need anymore help, ask me!
Answer:
1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
Step-by-step explanation:
The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
1 from a set of 2(Either Mrs. Vera or Mr. Jan).
3 from a set of 18 - 2 = 16. So
![C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120](https://tex.z-dn.net/?f=C_%7B2%2C1%7DC_%7B16%2C3%7D%20%3D%20%5Cfrac%7B2%21%7D%7B1%211%21%7D%20%5Ctimes%20%5Cfrac%7B16%21%7D%7B3%2113%21%7D%20%3D%201120)
1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
Answer: 10
<u>Step-by-step explanation:</u>
varies directly means: ![\frac{y}{x} = k](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%20%3D%20k)
Step 1: solve for k ⇒ ![\frac{21}{5} = k](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B5%7D%20%3D%20k)
Step 2: plug in the given value and k to solve for the missing value: ![\frac{42}{x} = \frac{21}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B42%7D%7Bx%7D%20%3D%20%5Cfrac%7B21%7D%7B5%7D)
42(5) = 21(x)
![\frac{42(5)}{21} = \frac{21(x)}{21}](https://tex.z-dn.net/?f=%5Cfrac%7B42%285%29%7D%7B21%7D%20%3D%20%5Cfrac%7B21%28x%29%7D%7B21%7D)
2(5) = x
10 = x
144 inches. 12 feet in one hour
12 inches per feet
12feet x 12 inches per foot= 144 inches
Answer:
![x=-\frac{19}{2}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B19%7D%7B2%7D)
Step-by-step explanation:
hope that was the answer you were looking for :/