Let the number of knife be x.
Knife = x
Spoon = 2x
forks = 2x
Total = 30
x + 2x + 2x = 30
5x = 30
x = 6
Knife = x = 6
forks = 2x = 12
Spoon = 2x = 12
Answer: There are 12 forks.
Answer:
A. 0.1035
B. 0.1406
C. 0.1025
Step-by-step explanation:
Given that:
the number of sample questions (n) = 5
The probability of choosing the correct choice (p) = 1/4 = 0.25
Suppose X represents the number of question that are guessed correctly.
Then, the required probability that she gets the majority of her question correctly is:
P(X>2) = P(X=3) + P(X =4) + P(X = 5)

![P(X>2) = \Bigg [ \dfrac{5!}{3!(5-3)!} \times (0.25)^3 (1-0.25)^{2} + \dfrac{5!}{4!(5-4)!} \times (0.25)^4 (1-0.25)^{1} +\dfrac{5!}{5!(5-5)!} \times (0.25)^5 (1-0.25)^{0} \Bigg ]](https://tex.z-dn.net/?f=P%28X%3E2%29%20%3D%20%5CBigg%20%5B%20%5Cdfrac%7B5%21%7D%7B3%21%285-3%29%21%7D%20%5Ctimes%20%280.25%29%5E3%20%281-0.25%29%5E%7B2%7D%20%2B%20%5Cdfrac%7B5%21%7D%7B4%21%285-4%29%21%7D%20%20%5Ctimes%20%280.25%29%5E4%20%281-0.25%29%5E%7B1%7D%20%2B%5Cdfrac%7B5%21%7D%7B5%21%285-5%29%21%7D%20%20%5Ctimes%20%280.25%29%5E5%20%281-0.25%29%5E%7B0%7D%20%5CBigg%20%5D)
P(X>2) = [ 0.0879 + 0.0146 + 0.001 ]
P(X>2) = 0.1035
B.
Recall that
n = 5 and p = 0.25
The probability that the first Q. she gets right is the third question can be computed as:

Since, x = 3



P(X=3) = 0.1406
C.
The probability she gets exactly 3 or exactly 4 questions right is as follows:
P(X. 3 or 4) = P(X =3) + P(X =4)
![P(X=3 \ or \ 4) = [ (^{5}C_{3}) \times (0.25)^3 (1-0.25)^{5-3} + (^{5}C_{4}) \times (0.25)^4 (1-0.25)^{5-4}]](https://tex.z-dn.net/?f=P%28X%3D3%20%5C%20or%20%5C%204%29%20%3D%20%20%5B%20%28%5E%7B5%7DC_%7B3%7D%29%20%5Ctimes%20%280.25%29%5E3%20%281-0.25%29%5E%7B5-3%7D%20%2B%20%28%5E%7B5%7DC_%7B4%7D%29%20%5Ctimes%20%280.25%29%5E4%20%281-0.25%29%5E%7B5-4%7D%5D)
![P(X=3 \ or \ 4) = \Bigg [ \dfrac{5!}{3!(5-3)!} \times (0.25)^3 (1-0.25)^{2} + \dfrac{5!}{4!(5-4)!} \times (0.25)^4 (1-0.25)^{1} \Bigg ]](https://tex.z-dn.net/?f=P%28X%3D3%20%5C%20or%20%5C%204%29%20%3D%20%5CBigg%20%5B%20%5Cdfrac%7B5%21%7D%7B3%21%285-3%29%21%7D%20%5Ctimes%20%280.25%29%5E3%20%281-0.25%29%5E%7B2%7D%20%2B%20%5Cdfrac%7B5%21%7D%7B4%21%285-4%29%21%7D%20%20%5Ctimes%20%280.25%29%5E4%20%281-0.25%29%5E%7B1%7D%20%5CBigg%20%5D)
P(X = 3 or 4) = [ 0.0879 + 0.0146 ]
P(X=3 or 4) = 0.1025
Hey there!
-9 - (-4 1/3)
= -9 - (-13/3)
= -9 + 13/3
= -14/3
= -4 2/3
Therefore, your answer is: -14/3 or -4 2/3 either should work because both of the numbers are equivalent to each other
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
3/8 because we add what he gave off then subtract that by 8/8
Answer with Step-by-step explanation:
The condition that at least 2 women are included is satisfied in the below cases:
Case 1) Exactly 2 women included
Thus the total number of ways to select the committee is

Case 2) Exactly 3 women included
Thus the total number of ways to select the committee is

Case 3) Exactly 4 women are included
Thus the total number of ways to select the committee is

Thus the total number of commitees possible are

Part 2)
If Mr and Mrs Simith are not to be both included then in that case the number of ways are the sum of
1) All cases of Mr Smith included and Mrs smith excluded

2) Mrs smith included and Mr Smith Included

Thus the cases are 