<h3>
Answer: 729 cubic meters</h3>
Work Shown:
volume = side*side*side
volume = 9*9*9
volume = 729
A slight shortcut would be to say 9^3 = 729
Answer:
The slope of the line is 
Step-by-step explanation:
For any line
, a line that is perpendicular to it is
.
Therefore the slope of the perpendicular line is
.
For our case
therefore the slope of the prependicular is the reciprocal of
multiplied by 

<u>Answer:</u>
2(-5 - 7j) = -10 - 14j
<u>Step-by-step explanation:</u>
Using the distributive property means that we have to multiply both -5 and -7j by 2:
2(-5 - 7j)
⇒ 2 × -5 + 2 × -7j
⇒ -10 - 14j
Answer:
True.
Step-by-step explanation:
It is because it is in the form
and this equals
.
Why it is in that form: well comparing
, we have
. Testing, plug in those values:


.
This has the squared form of
.
Test if you like:


Use foil to expand:
First: x(x)=x^2
Outer: x(1)=x
Inner: 1(x)=x
Last: 1(1)=1
---------------Add together

It does indeed equal.
Answer:
0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.
This means that 
If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.