72k² = 9 x 8 x k x k = 3² x 2² x 2 x k x k
so √72k² = √(3² x 2² x 2 x k x k) = √3² x √2² x √2 x √k² = 6k√2
:)
Answer:
74.99%
Step-by-step explanation:
We have a binomial problem, where the sample sample size is 15 and p = 80%
Find the probability that exactly 12 of the 15 consumers recognize the brand name, where n = 15 and x = 12
P (x) = nCx * [(p) ^ x] * [(1 - p) ^ (n-x)]
Replacing:
P (x = 12) = 15C12 * [(0.8) ^ 12] * [(0.2) ^ (3)]
P (x = 12) = 455 * [(0.8) ^ 12] * [(0.2) ^ (3)]
P = 0.2501
To find the probability that the number recognized by the mark is not 12, it would be
P = 1 - P (x = 12)
P = 1 - 0.2501
P = 0.7499
That is, the probability is 74.99%
Answer:
a11 = 8+(11-1)6
a11 = 8+54
a11=68
hopefully this is correct
Step-by-step explanation:
So, all percents can be expressed as *percent*/100
So for this, it would be 150/100
Then we want to simplify it down and all that jazz. Find the biggest number that BOTH the numerator AND denominator can be divided by.
In this case, 50.
150/50=3
100/50=2
So now you have 3/2
You might also want a mixed number, or, a whole number with the leftover fraction after it.
In this case, see how many times can 2 go into 3 FULLY.
The answer would be 1. 1 is our WHOLE NUMBER.
Then take whatever is left over from 3 and that is our numerator. Do this, since 2 can go into 3 ONE time FULLY, I can say 3-(2*1) is our remainder.
That gives you one as the numerator. 2 is still the denominator.
So a mixed number of 3/2 is 1 1/2
So here is 150% as a fraction: 150/100, 3/2 or 1 1/2.
I hope I helped!!! -Kibeye/Ethan