The line y = -3 is a horizontal line. The perpendicular line will be vertical, so will have an equation of the form
x = c
for some constant c.
You want the vertical line to go through the point (4, -6), so the required value of c is the x-value of that point: 4
Your equation is
x = 4
Answer:
One-fourth times 32
Step-by-step explanation:
Yes, I know...31.3 rounded is 31, not 32. But it's closer than any other number.
Answer:
Step-by-step explanation:
it can be simplified to
. if you multiply each side by the denominator, it becomes
since
and cotan is the reciprocal of that. Because
so multiplying each side gives
, and
is equal to 1.
Answer:
1.165.
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 Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
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.
In this problem, we have that:
. So


So the correct answer is:
1.165.
If that is 6-3(log2n)=0 then how you would go about solving it is by looking at log2n like x. In this case, for 6-3x=0, x would have to =2. So log2n has to =2. If log2n=2 and we assume that the base is 10 (because if there is no written base on a log then it is 10) then we need to rewrite the log to exponential form. Rewritten it's 10^2=2n. 100=2n, divide both sides by 2 and you get n=50.