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vfiekz
3 months ago
7

Nik needs to estimate how many books will fit in a bin. Each book is 1 ft tall, 0.5 ft wide, and 0.1 ft thick. The bin is 5 feet

wide, 2 feet tall, and 3 feet deep. Based on volume only, about how many books will fit in the bin?
Mathematics
1 answer:
lawyer [12.5K]3 months ago
6 0

Answer:

600 books

Step-by-step explanation:

The dimensions of the bin are

5 by 2 by 3

The volume of the bin is found by multiplying these three dimensions.

Volume of Bin = 5 * 2 * 3 = 30 cubic feet

To find the volume of each book, we use the same method. The dimensions of one book are:

1 by 0.5 by 0.1

Volume of 1 book = 1 * 0.5 * 0.1 = 0.05 cubic feet

The total number of books fitting into the bin is calculated by:

30/0.05 = 600 books

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when joe bowls he can get a strike 60% of the time, what is the probability jow will get at least 3 strikes out of 4 tries?
Leona [12618]
34.56%. This is a binomial probability that can efficiently be calculated using the following formula: Here, n signifies the total number of trials (in this case, 4), x denotes the number of "successes" (which is 3), p is the success probability (60% or 0.6), and q indicates the failure rate (1 - p, thus 0.4). Plugging these values into the formula yields the solution: in percentage form, the probability is found to be 34.56%.
8 0
2 months ago
A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer
babunello [11817]

Answer:

The top surface area of the washer equals 160.14 square millimeters.

Step-by-step Explanation:

The washer's top surface forms an annulus, characterized by an outer radius of 10 mm and an inner radius of 7 mm (obtained since the hole's diameter is 14 mm and the radius is half the diameter).

Recall the formula for the area of an annulus:

Area=\pi (R^2-r^2)

where R is the outer radius and r the inner radius.

Substituting the given values:

R=10\ mm\\\\and\\\\r=7\ mm

Thus, the calculation yields:

Area\ of\ top\ surface=\pi (10^2-7^2)\\\\i.e.\\\\Area\ of\ top\ surface=\pi (100-49)\\\\i.e.\\\\Area\ of\ top\ surface=\pi\cdot 51\\\\i.e.\\\\Area\ of\ top\ surface=160.14\ mm^2

4 0
3 months ago
Read 2 more answers
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