Answer:
(8x-5y)(8x+5y)
Step-by-step explanation:
Using the square principal because the square root of 64x2 is 8x and the square root of 25y2 is 5y and +- because +times- is only minus and the equation is minus.
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:
v ⋅ w = 17
Step-by-step explanation:
We are given that,
v = <3, 3, -8> and w = <9, -6, -1>
It is required to find v ⋅ w.
So, evaluating the expression, we get,
v ⋅ w = <3, 3, -8> ⋅ <9, -6, -1>
i.e. v ⋅ w = 3×9 + 3×(-6) + (-8)×(-1)
i.e. v ⋅ w = 27 - 18 + 8
i.e. v ⋅ w = 35 - 18
i.e. v ⋅ w = 17
Hence, after evaluating, we have, v ⋅ w = 17