Answer:
probability that you and your 3 friends will be selected.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the volunteers 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.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
Desired outcomes:
You and the 3 friends(4 people), from a set of 4. So
![D = C_{4,4} = \frac{4!}{4!0!} = 1](https://tex.z-dn.net/?f=D%20%3D%20C_%7B4%2C4%7D%20%3D%20%5Cfrac%7B4%21%7D%7B4%210%21%7D%20%3D%201)
Total outcomes:
20 people from a set of 20. So
![T = C_{20,4} = \frac{20!}{4!16!} = 4845](https://tex.z-dn.net/?f=T%20%3D%20C_%7B20%2C4%7D%20%3D%20%5Cfrac%7B20%21%7D%7B4%2116%21%7D%20%3D%204845)
Probability:
![p = \frac{D}{T} = \frac{1}{4845}](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7BD%7D%7BT%7D%20%3D%20%5Cfrac%7B1%7D%7B4845%7D)
probability that you and your 3 friends will be selected.
Answer:
Step-by-step explanation: 9x = 144
∴ x = 144 / 9
x = 16
hope this helps
plz mark it as brainliest
Answer:
52
Step-by-step explanation:
so first you do 10x14=140
next you have to do 12x16=192
then u have to do 192-140=52in squared
So a triangle angles must add up to 180. You would subtract 180 by the two known angle which are 90 and 30. Then if you subtract them you would get 60. The final answer is 60
Answer:
![f(x) = cos(x - \frac{\pi }{4} ) -1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20cos%28x%20-%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%29%20-1)
Step-by-step explanation:
In this graph, we have the coordinate point (
). Without translations, cos(0) = 0, which means that the graph is shifted to the right by
. We also know that the graph is shifted down by 1 because we have the point
(
), but accounting for the right shift, this point should really by (
). cos(
) = -1, but on the graph it is -2, meaning that it is shifted down by 1.
Therefore, accounting for the right shift by
and the shift down by 1, our equation is
.