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harina [27]
3 years ago
6

A number cube is tossed 50 times, and a 1 is rolled 18 times. Find the experimental probability of not rolling a 1.

Mathematics
1 answer:
LiRa [457]3 years ago
8 0

Answer:

16/25 = 0.64

Step-by-step explanation:

18 rolls are ones, so 32 rolls are not ones.

The experimental probability is 32/50 = 16/25 = 0.64.

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Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 114
NISA [10]

Answer:

Step-by-step explanation:

Represent the length of one side of the base be s and the height by h.  Then the volume of the box is V = s^2*h; this is to be maximized.

The constraints are as follows:  2s + h = 114 in.  Solving for h, we get 114 - 2s = h.

Substituting 114 - 2s for h in the volume formula, we obtain:

V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)

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dV

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ds

Simplifying this, we get dV/ds = -4s^2 + 114s = 0.  Then either s = 28.5 or s = 0.

Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in

and the volume is V = s^2(h) = 46,298.25 in^3

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3 years ago
The product of a number and its blank is one
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The product of any number and its reciprocal is ' 1 '.

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