Answer:
Step-by-step explanation:
<u>Dimensions given:</u>
- l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ft
A small cube has side of 1/4 ft
Find the number of small cubes can fit in each dimension of the prism.
<u>Length</u>
- 2 1/4 : 1/4 = 9/4 * 4 = 9
<u>Width</u>
<u>Height</u>
- 1 1/4 : 1/4 = 5/4 * 4 = 5
Part A
<u>Number of small cubes would be:</u>
Part B
<u>Each small cube has volume:</u>
The volume of the prism in terms of small cubes is 180 as we found above.
<u>The volume in terms of unit cube:</u>
- V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³
10/3 which is the same as 3 1/3
2l + 2w = P
l = 35, P = 84, w=?
2*35 + 2*w = 84
70 + 2w = 84
2w = 84 - 70
2w = 14
w = 14/2
w = 7 in
Answer:
P(W|B) = 0.58
Step-by-step explanation:
The conditional probability formula tells you ...
P(W | B) = P(W&B) / P(B)
= 0.29/.050
= 0.58
Hey there!!
How do we find the equation of a line ?
Ans : We take the slope and the y - intercept and get them together.
How do you find slopes?
Ans - In order to find slop, we will need to use the slop formula which is
( y₂ - y₁ ) / ( x₂ - x₁ )
The two points shown in the above question are
( 4 , -8 ) and ( 8 , 5 )
y₂ = 5 , y₁ = -8 and x₂ = 8 , x₁ = 4
Now plug in the values:
( 5 + 8 ) / ( 8 - 5 )
13 / 3
Hence, the slope is 13/3
The basic formula : y = mx + b
Where b is the y-intercept and m is the slope.
We have found the slope, hence, the formula would become
... y = 13/3 x + b
Now take a coordinate and substitute it .
I will take ( 8 , 5 )
x = 8 and y = 5
Now plug in the values
... 5 = 13/3 × 5 + b
... 5 = 65/3 + b
Subtract 65/3 on both sides
... 5 - 65/3 = b
... -50/3 = b
Hence, the y-intercept is -50/3
Now plug in all the values to get the total equation...
The final equation : y = 13x/3 - 50/3
... y = 13x - 50 / 3
Hope my answer helps!!
