Answer:
.
Step-by-step explanation:
If a line passing through two points, then

Endpoints of segment MN have coordinates (0, 0) and (5, 1).
Slope of MN 
The endpoints of segment AB have coordinates
and
.

.
Slope of AB 




Product of slopes of two perpendicular segments is -1.
Slope of MN × Slope of AB = -1







Therefore, the value of k is
.
Answer:
We want to construct a confidence interval at 99% of confidence, so then the significance level would be
and the value of
. And for this case since we know the population deviation is not appropiate use the t distribution since we know the population deviation and the best quantile assuming that the population is normally distributed is given by the z distribution.
And if we find the critical value in the normal standard distribution or excel and we got:

And we can use the following excel code:
"=NORM.INV(0.005,0,1)"
Step-by-step explanation:
For this case we have the following info given:

We want to construct a confidence interval at 99% of confidence, so then the significance level would be
and the value of
. And for this case since we know the population deviation is not appropiate use the t distribution since we know the population deviation and the best quantile assuming that the population is normally distributed is given by the z distribution.
And if we find the critical value in the normal standard distribution or excel and we got:

And we can use the following excel code:
"=NORM.INV(0.005,0,1)"
Answer: .42857 liters of pure water
Step-by-step explanation:2.4 = .7w + 2.1
2.4 - 2.1 = .7w
.3 = .7w
w = .3%2F.7
Answer:
the answer is 63.59m²
Step-by-step explanation:

Answer:
x = 2
Step-by-step explanation:
x = 7 is a vertical line parallel to the y- axis.
Thus a parallel line will also be vertical with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (2, - 5) with x- coordinate 2, thus
x = 2 ← equation of parallel line