Answer:
Step-by-step explanation:
The given line is defined by: 
, where we see that the slope is 5 and the y-intercept 1.
In order to find a line perpendicular to the given one, we need it to have a slope that is the "opposite of the reciprocal" of the given slope.
"Opposite" means it would have its sign inverted (in our case from positive to negative); and "reciprocal means that instead of 5, it would be its reciprocal: 
.
We can write this new line with such slope, and try to find its y-intercept (b) by using the given condition that requires it to go through the point (-5,-4) on he plane:
we require then that when 
, the value of 
.
Therefore: 
Then our final answer is that the new line should have the form:
Answer:
173
Step-by-step explanation:
Take out the constants.
(
3
×
3
)
x
x
(3×3)xx
2 Simplify
3
×
3
3×3 to
9
9.
9
x
x
9xx
3 Use Product Rule:
x
a
x
b
=
x
a
+
b
x
a
x
b
=x
a+b
.
9
x
2
9x
2
Word: One and nine hundred twenty four thousandths
Answer:
The mean of depth is 12.75cm.
The variance of depth is of 13.02 cm².
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean of the uniform distribution is:
The variance of the uniform distribution is given by:
Uniform distribution on the interval (6.5, 19)
This means that: 
So
Mean:
The mean of depth is 12.75cm.
Variance:
The variance of depth is of 13.02 cm².
