The dimensions of the square base after cutting the corners will be (40-2x). The depth of the box will be x, so its volume is given by
V = x(40-2x)²
You can differentiate this to get
V' = 12x² -320x -1600
Setting this to zero and factoring gives
(3x-20)(x-20) = 0
The appropriate choice of solutions is
x = 20/3 = 6 2/3
The
dimensions of the box of maximum volume are
26 2/3 in square by 6 2/3 in deepThe
maximum volume is
(80/3 in)²(20/3 in) =
4740 20/27 in³
Answer:
See below (I hope this helps!)
Step-by-step explanation:
When dividing exponential terms of the same base, we can simply subtract the exponents, therefore:

Answer:
i. Estimated number of free throws of the best player = 0.85 * 40
ii. 34 free throws
Step-by-step explanation:
Percentage of free throws made by the best player = 85%
Percentage of free throws made by the second best player = 75%
Percentage of free throws made by the third best player = 70%
Therefore, for 40 attempts;
i. Estimated number of free throws made by the best player = 85% x 40
= 0.85 x 40
= 34
ii. Estimated number of free throws made by the second best player = 75%x 40
= 0.75 x 40
= 30
iii. Estimated number of free throws made by the third best player = 70% x 40
= 0.70 x 40
= 28
Thus, the equation that gives the estimated number of free throws is 0.85 * 40.
The best player will make about 34 free throws.
Answer:
13.89% of students are willing to report cheating by other students.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 180
Number of students who reported cheating, x = 25
We have to find the proportion of the students are willing to report cheating by other students.
Proportion of students can be calculate as

Thus, 13.89% of students are willing to report cheating by other students.