1572/6 = 262 which is an integer so x could be 2
X could also be 8 because 1578/6 is 263
Let the lengths of the bottom of the box be x and y, and let the length of the squares being cu be z, then
V = xyz . . . (1)
2z + x = 16 => x = 16 - 2z . . . (2)
2z + y = 30 => y = 30 - 2z . . . (3)
Putting (2) and (3) into (1) gives:
V = (16 - 2z)(30 - 2z)z = z(480 - 32z - 60z + 4z^2) = z(480 - 92z + 4z^2) = 480z - 92z^2 + 4z^3
For maximum volume, dV/dz = 0
dV/dz = 480 - 184z + 12z^2 = 0
3z^2 - 46z + 120 = 0
z = 3 1/3 inches
Therefore, for maximum volume, a square of length 3 1/3 (3.33) inches should be cut out from each corner of the cardboard.
The maximum volume is 725 25/27 (725.9) cubic inches.
Answer:
2304 pens
Step-by-step explanation:
well 16 box with 144 pens in each just multiply to get 2304 pens that he stacked
1,800 because if it follows a consistent pattern, 900 x 2 is 1,800.
Answer:
The correct option is:
A. We are 95% confident that the interval from 55.4 seconds to 61.2 seconds actually does contain the true value of μ.
Explanation:
In statistics, confidence interval is the interval estimate about the population parameter of interest at certain level of confidence like 95%. A 95% confidence interval gives us a range of values that we can be 95% confident contains the true mean of the population.
Therefore, the option A is correct
