Answer:
f(-2) = 0
Step-by-step explanation:
Given that:
f(x) = bx^2 + 32
f(2) = b(2)^2 + 32
f(2) = 4b + 32
f(2) = 4b = -32
f(2) = b = -32/4
f(2) = b = -8
Thus;
f(-2) = -8(-2)^2 + 32
f(-2) = -8(4) + 32
f(-2) = -32 + 32
f(-2) = 0
Answer:
A sample of 18 is required.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 1.88.
Now, find the margin of error M as such
In which
is the standard deviation of the population and n is the size of the sample.
A previous study indicated that the standard deviation was 2.2 days.
This means that 
How large a sample must be selected if the company wants to be 92% confident that the true mean differs from the sample mean by no more than 1 day?
This is n for which M = 1. So



Rounding up:
A sample of 18 is required.
3x-3 and 4x-6 are complementary angles meaning together they add up to 180°. Set them equal to each other. So you get 3x-3=4x-6 now simplify this. Now you have x=3 and there you have it! If you plug 3 into x in both equations it works! Hope this helps!
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