Answer:
D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.
Step-by-step explanation:
The Number of boxes = 6
Box containing a prize = 1
Probability of success, p = box containing a price / number of boxes = 1 /6
Number of trials = 5
Probability of success on exactly 2 trials, r = 2
Hence,
P(r = 2) = nCr * p^r * (1-p)^(n-r)
n = 5 ; r = 2 ; p = 1/6
Using a binomial probability calculator :
P(r = 2) = 0.1608
First we will find the square root of the square with the added sides to find the side + 5.
√85 = 9.219
∴ Original side = 9.219 - 5 = 4.219 cm
Answer:
The remainder is 2.
Step-by-step explanation:
Use modular arithmetic.
If the remainder is x then 8^33 mod 6 = x.
8^3 = 512 = 2 mod 6
8^6 = (8^3 * 8^3) mod 6 = (2*2) mod 6 = 4 mod 6
8^30 mod 6 = (8^6)^5 mod 6 = 4^5 mod 6 = 1024 mod 6
= 4 mod 6.
Finally 8^33 mod 6 = (8^3 * 8^30) mod 6 = (2 * 4) mod 6
= 8 mod 6 = 2.
Answer:
7/8
Step-by-step explanation:
