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.
<span>i got 2 answers i got A = -1<span>
i also got A= 5/7 = 0.714
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Answer:
Probability that Ryan is both certified and has never had an accident is undefined
Step-by-step explanation:
Given;
Probability that Garrick is certified = P(G) = {25}
Probability that Molly has not had an accident = P(M) = {71.87}
Probability that Ryan is both certified and has never had an accident = P(R) = {?}
Probability of Ryan being certified was not defined,
Probability that Ryan has not had an accident was not also defined
Therefore, Probability that Ryan is both certified and has never had an accident = P(R) = is undefined, since Ryan is not within the given set.
Answer:
1/1+1/1+1/1+1/1
Step-by-step explanation:
