X= 81/2 this is the answer
Answer:
$8.07
Step-by-step explanation:
20-((5*1.59)+3.98)=8.07
This is a combination problem.
Given:
12 students
3 groups consisting of 4 students.
Mark can't be in the first group.
The combination formula that I used is: n! / r!(n-r)!
where: n = number of choices ; r = number of people to be chosen.
This is the formula I used because the order is not important and repetition is not allowed.
Since Mark can't be considered in the first group, the value of n would be 11 instead of 12. value of r is 4.
numerator: n! = 11! = 39,916,800
denominator: r!(n-r)! = 4!(11-4)! = 4!*7! = 120,960
Combination = 39,916,800 / 120,960 = 330
There are 330 ways that the instructor can choose 4 students for the first group
Answer:
49% probability that Mitchell will be a goalie today
Step-by-step explanation:
If Coach White coaches, the probability of being goalie is 0.55.
Coach White has a 70% probability of coaching.
If Coach Jackson coaches, the probability of being goalie is 0.35.
Coach Jackson has a 100-70 = 30% probability of coaching.
What is the probability that Mitchell will be a goalie today?
This is 55% of 70% plus 35% of 30%
Then
P = 0.55*0.7 + 0.35*0.3 = 0.49
49% probability that Mitchell will be a goalie today
