Answer:
<h3>The answer is 10 units</h3>
Step-by-step explanation:
The distance between two points or a line segment can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4, 1) and (2, 9)
The length of segment AB is

We have the final answer as
<h3>10 units</h3>
Hope this helps you
Answer:
1:2 is the simplest form
Step-by-step explanation:
the ratio is 4:2 but since That's not the simplest form, you must find the GCF. the GCF is 2, divide both numbers by 2 and you get 2:1. you pull the ratio from segment AB and segment DF since both of them have measurements already stated.
hope this helps! :)
Answer:
She would have to do a chore 11.25 times
Step-by-step explanation:
well first you would divide 1.20 by 13.50 and get 11.25 and then add the $3 to it and get 14.25 and that would be enough money for the game
please mark brainliest
Corner points in this graph are: ( 0,0 ) ( 0,8 ) ( 5,6 ) and ( 8, 0 ).
If we plug those values in : P = 2 x + 3 y
P ( 0,0 )= 0
P ( 0,8 ) = 2 * 0 + 3 * 8 = 24
P ( 6 , 5 ) = 2 * 6 + 3 * 5 = 12 + 15 = 27
P ( 8 , 0 ) = 2 * 8 + 3 * 0 = 16
The maximum value is:
P max ( 6 , 5 ) = 27
Answer:

Step-by-step explanation:
Given
--- interval
Required
The probability density of the volume of the cube
The volume of a cube is:

For a uniform distribution, we have:

and

implies that:

So, we have:

Solve


Recall that:

Make x the subject

So, the cumulative density is:

becomes

The CDF is:

Integrate
![F(x) = [v]\limits^{v^\frac{1}{3}}_9](https://tex.z-dn.net/?f=F%28x%29%20%3D%20%5Bv%5D%5Climits%5E%7Bv%5E%5Cfrac%7B1%7D%7B3%7D%7D_9)
Expand

The density function of the volume F(v) is:

Differentiate F(x) to give:




So:
