Answer:
If 550 toys are made in a day, and 6% of them are defective, about 33 of them will be defective.
Step-by-step explanation:
To calculate the number of toys that will be defective, move the decimal of the percentage 2 place to the left. So the 6% will turn into 0.06, then you would multiply 550 by 0.06. Resulting in about 33 toys being defective.
6% = 0.06
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550 x 0.06 = 33
120,000/10,000 so the answer is obviously 12
Answer: x=5 bc 5 times 5 is 25
Ste-by-step explanation:
Answer:
0.005
Step-by-step explanation:
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.
