Answer:
57
Step-by-step explanation:
Line 1 and Line 2 are perpendicular because line 2 has a slope of 5/3 opposite of Line 1’s slope of 3/5
Line 1 and 3 are perpendicular same reason as above
Line 2 and 3 are parallel because the have the same slope of 5/3
Answer:
3.78
Step-by-step explanation:
How you do this problem is by simply multiplying 14% by 27. You have to remember that 14% is equivalent to 0.14, so you have to do 0.14 * 27 and you will get 3.78.
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:
It is given that red dot is about halfway between 12 and 13.
Draw a number line.Mark points on it on as 1,2,3,.....12,13,...20.
Label 12 as point M and label 13 as N.
Mid point of MN=
=25/2
=12.5
Mark 12.5 as T.
MT =NT
The Red dot is at point N at a distance of 12.5 units from the origin.