Answer:
Answer is D
Step-by-step explanation:
(3,-7) and (1,-10) belong toD Variant
Answer:

Step-by-step explanation:

Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where
is the width and
is the length.
The perimeter of a rectangle is twice its length added to twice its width.

The length is 3 more than the width:

We can now substitute in
as
in the equation
.

Distribute the first terms:

Combine like terms:

Subtract 6 from both sides:

Divide both sides by 4:

Now we know that w = 4. We can now substitute this inside an equation to find
.

Hope this helped!
45th percentile means that 45% of the data fall below that number while 55% (that is, 100-45) fall above it.
Now, arranging the number in ascending order;
$60, $85, $95, $105, $120, $145, $155, $175, $190, $215, $235, $240, $260, $285, $325
The total number of counts = 15
Then,
Index = 15*45% = 15*0.45 = 6.75
Round up,
Index = 7
The,
7th number = $155
Therefore, 45th percentile value of the data = $155
Answer:
I = 1.47001
Step-by-step explanation:
we have the function

In polar coordinates we have

and dA is given by

Hence, the integral that we have to solve is

This integral can be solved in a convenient program of your choice (it is very difficult to solve in an analytical way, I use Wolfram Alpha on line)
I = 1.47001
Hope this helps!!!