80% or 4/5
Since there are 2 blacks shirts and 10 in total the probability is of not poking a black shirt is 8/10 which when reduced is 4/5
Answer:
Step-by-step explanation:
y=(2x²+x)³+(x-1)/(1-x)
=(2x²+x)³+(x-1)/-(x-1)
=(2x²+x)³-1
dy/dx=3(2x²+x)(4x+1)-0
=3x(2x+1)(4x+1)
First find the side lengths of the box by factoring each area:
12: 1, 2, 3, 4, 6, 12
15: 1, 3, 5, 15
20: 1, 2, 4, 5, 10, 20
Find 3 numbers that both have 2 sides have in common and can multiply to make the areas of the faces:
12: 3 * 4
15: 3 * 5
20: 4 * 5
Sides: 3, 4, and 5
Then multiply to get the volume:
3 * 4 * 5 = 60 units^2
Answer:
The equation of the line is
, that passes through points 
Step-by-step explanation:
Given points are 
We need to write the equation of the line that passes through these points
First, we will find slope of this line

So, our slope is
. Now, we will plug the point
in the equation below.

So, the equation of the line is
.
The length and width of the new scale drawing is 36 inches and 24 inches respectively.
The given parameters:
- <em>Original scale of the soccer field, 1 inch : 12 yards</em>
The original length and width of the soccer field is calculated as follows;
1 inch : 12 yards
- original width = 6 x 12 yards = 72 yards
- original length = 9 x 12 = 108 yards
For the new scale of 1 inch : 3 yards, the new length and width are represented as;
<em>the </em><em>new width</em><em>:</em>

<em>the </em><em>new length</em><em>:</em>

Thus, the length and width of the new scale drawing is 36 inches and 24 inches respectively.
Learn more about scale drawing here: