Factor the equation so...
(r^2-pr) and (p^2q-pqr)
Factor out (r^2-pr) = r(r-p)
Factor out (p^2q-pqr) = pq(p-r)
Add a negative to r(r-p) to make it -r(p-r)
(pq-r)(p-r) is the answer... I'm sorry I can't explain things well, but I tried.
I think the answer would be the first one
P ( A ) = 0.45 - probability that the land has oil,
P ( B ) = 0.8 - probability that the test predicts it
P ( A ∩ B ) = P ( A ) · P ( B ) = 0.45 · 0.8 = 0.36
Answer: The probability that the land has oil and the test predicts it is 36 %.
Answer:
a) n = 1037.
b) n = 1026.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
The margin of error is:
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
(a) Assume that nothing is known about the percentage to be estimated.
We need to find n when M = 0.04.
We dont know the percentage to be estimated, so we use 
, which is when we are going to need the largest sample size.
Rounding up
n = 1037.
(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.
So
Rounding up
n = 1026.
Answer:
( 400-x)/3
Step-by-step explanation:
Total chocolate chips Savannah had = 400
Number of chocolate chips she saved for garnishing =x
Number of chocolate chips remain = 400-x
Number of brownie pans = 3
Chocolate chips were spread evenly in 3 pans,
Chocolate chips were in each pan of brownies =( 400-x)/3
