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Answer:
The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft
Step-by-step explanation:
Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²
For maximum volume, the side length, s of the cube must all be equal ;
Therefore area of one side = s²
Number of sides in a cube with top open = 5 sides
Area of surface = 5 × s² = 180
Therefore s² = 180/5 = 36
s² = 36
s = √36 = 6 ft
Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.
Answer:
125/1000 and no hes not correct
Step-by-step explanation:
A. Not sure !! .....l.......
Answer:
The probability of picking two consecutive purple marbles without replacement is 14.72%.
Step-by-step explanation:
Initially, there are 4+6+2+8 = 20 total marbles.
The probability of picking a purble marble is
P_{1} = \frac{number of purple marbles}{number of total marbles}
P_{1}= \frac{8}{20} = 0.4
Since there are no replacements, there are now 19 total marbles, 7 of which are purple. So, the probability of picking another purple marble is
P_{2} = \frac{7}{19} = 0.368
The probability P of picking a purble marble(P_{1}), not replacing it, and then picking another purple marble(P_{2}) is:
P = P_{1}*P_{2} = 0.4*0.368 = 0.1472 = 14.72%
