The perimeter of two similar polygons are in the ratio 1:25. If the length of one side is the smaller polygon is 3 centimeters w
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Th long side of the plastic sheet is bent into a U shape.
Therefore the dimensions of the file holder are 8, h, and (10 - 2h) as shown in the figure.
The volume of the file holder is
V = 8*h*(10 - 2h) = 80h - 16h²
To maximize V, V'(h) = 0.
That is,
80 - 32 h = 0
h = 80/32 = 2.5 in
V''(h) = -32 guarantees that V is maximum because V'' <0.
Maximum V = 80*(2.5) - 16*(2.5)² = 100 in³
Answer: h = 2.5 in
Therefore the dimensions of the file holder are 8, h, and (10 - 2h) as shown in the figure.
The volume of the file holder is
V = 8*h*(10 - 2h) = 80h - 16h²
To maximize V, V'(h) = 0.
That is,
80 - 32 h = 0
h = 80/32 = 2.5 in
V''(h) = -32 guarantees that V is maximum because V'' <0.
Maximum V = 80*(2.5) - 16*(2.5)² = 100 in³
Answer: h = 2.5 in
Answer:
0.19706
Step-by-step explanation:
-Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:
Hence,the probability that an employee makes between $70,000 and $80,000 is 0.19706