Step-by-step explanation:
it's called answer is minus 7
Answer:
2.10% probability that the group will consist of all Republicans.
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 members are selected is not important. So we use the combinations formula 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:
4 republicans from a set of 6.
![D = C_{6,4} = \frac{6!}{4!2!} = 15](https://tex.z-dn.net/?f=D%20%3D%20C_%7B6%2C4%7D%20%3D%20%5Cfrac%7B6%21%7D%7B4%212%21%7D%20%3D%2015)
Total outcomes:
4 members from a set of 6 + 7 = 13.
![T = C_{13,4} = \frac{13!}{4!9!} = 715](https://tex.z-dn.net/?f=T%20%3D%20C_%7B13%2C4%7D%20%3D%20%5Cfrac%7B13%21%7D%7B4%219%21%7D%20%3D%20715)
Probability:
![p = \frac{D}{T} = \frac{15}{715} = 0.021](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7BD%7D%7BT%7D%20%3D%20%5Cfrac%7B15%7D%7B715%7D%20%3D%200.021)
2.10% probability that the group will consist of all Republicans.
Answer:
(8 + x)(8 - x)
Step-by-step explanation:
Use the DIFFERENCE OF TWO SQUARES METHOD.
Find the like terms. There are NO like terms. We have to use THE DIFFERENCE OF TWO SQUARES FORMULA.
64 - x²
8 - x + 8 + x
(8 + x)(8 - x)