Th long side of the plastic sheet is bent into a U shape.
Therefore the dimensions of the file holder are 8, h, and (10 - 2h) as shown in the figure.
The volume of the file holder is
V = 8*h*(10 - 2h) = 80h - 16h²
To maximize V, V'(h) = 0.
That is,
80 - 32 h = 0
h = 80/32 = 2.5 in
V''(h) = -32 guarantees that V is maximum because V'' <0.
Maximum V = 80*(2.5) - 16*(2.5)² = 100 in³
Answer: h = 2.5 in
Answer:
1.80
2.50
3.12
4.204
Step-by-step explanation:
Hope I helped even if I may be late TwT
Answer:
Step-by-step explanation:
The area of a circular sector with a central angle θ and radius r is given by:
<em>Note</em>: The angle must be in radians.
We need to find both the radius and the angle in radians.
Diameter = 9.6 cm
Radius r=Diameter/2=4.8 cm
Angle in radians= Angle in degrees*π / 180
θ = 140*π / 180 = 2.4435 rad
Now we calculate the area:
Answer:
Step-by-step explanation:
The given information can be tabulated as follows.
Success type High Moderate Low Total
0.40 0.35 0.25 1
Good reviews 0.95 0.60 0.10
Combined prob 0.4*0.95 0.35*0.6 0.25*0.1
0.38 0.21 0.025 0.6125
A) the probability that a product attains a good review
=Prob it it successful and gets good review + Prob it is moderate successful and gets good review +Prob it it low successful and gets good review
= 0.6125
B) If a new design attains a good review, the probability that it will be a highly successful product= 
C) Prob that does not attain a good review =(0.40*0.05)+0.35(0.4) +(0.25)*0.9
= 0.385
Prob for successful not getting good review = 0.40(0.05) = 0.02
Reqd prob = 
Answer & Step-by-step explanation:
Simplifying
5n = 3000
Solving
5n = 3000
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Divide each side by '5'.
n = 600
Simplifying
n = 600
