Answer:

Step-by-step explanation:
We are given that
Length of flat piece of material=14 in
Width of flat piece of material=6 in
We have to find the volume of box as a function of x.
An open box is made from flat piece of material by cutting equal squares of length x from the corner and folding up the sides.
Therefore, Height of box=x in
Length of box=14-2x in
Width of box=6-2x in
We know that volume of box=
Using the formula
Volume of box=f(x)=
Answer:
P(25 < x < 37) = 0.77
Step-by-step explanation:
Given - If a Variable has a normal distribution with mean 30 and standard deviation 5
To find - find the probability that the variable will be between 25 and 37.
Proof -
Given that,
Mean, μ = 30
S.D, σ = 5
Now,
~ N(0,1)
Now,
P(25 < x < 37)
= 
= P(1 < z < 1.4)
= P(z < 1.4) - P(z < -1)
= 0.9192 - 0.1587
= 0.7605
≈ 0.77
∴ we get
P(25 < x < 37) = 0.77
The answer is that it's a right triangle. One angle is 90°
25x6= 150 so he cant paint 150 square feet every half hour.