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fredd [130]
3 years ago
9

A ball inside of this cube has a volume of 268 cubic inches. If each side of the cube measures 9.5 inches, what is the volume of

air inside the tube? (Round to the nearest tenth.) pleas hlep:)
Mathematics
2 answers:
True [87]3 years ago
8 0

Answer:

589.4 cubic inches.

Step-by-step explanation:

n200080 [17]3 years ago
4 0

Answer:

589.4 cubic inches.

Step-by-step explanation:

The volume of the cube with each side of the measure of 9.5 inches.

So, the volume of the cube will be (9.5 × 9.5 × 9.5) = 857.375 cubic inches.

Now, if there is a ball inside this cube with volume 268 cubic inches then the remaining volume inside the cube is filled with air.

Therefore, the volume of air inside the cube will be (857.375 - 268) = 589.375 cubic inches ≈ 589.4 cubic inches. (Answer)

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Soloha48 [4]

Step-by-step explanation:

In statistics, the empirical rule states that for a normally distributed random variable,

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  • 99.73% of the data lies within three standard deviations of the mean.

In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

                             \Phi(\mu \ - \ \sigma \ \leq X \ \leq \mu \ + \ \sigma) \ = \ 0.6827 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi(\mu \ - \ 2\sigma \ \leq X \ \leq \mu \ + \ 2\sigma) \ = \ 0.9545 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi}(\mu \ - \ 3\sigma \ \leq X \ \leq \mu \ + \ 3\sigma) \ = \ 0.9973 \qquad (4 \ \text{s.f.})

where the symbol \Phi (the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, \mu is the mean and \sigma is the standard deviation of the normal distribution defined as N(\mu, \ \sigma).

According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution N(113, \ 12),

                \Phi(113 \ - \ 3 \ \times \ 12 \ \leq \ X \ \leq \ 113 \ + \ 3 \ \times \ 12) \ = \ 0.9973 \\ \\ \\ \-\hspace{1.75cm} \Phi(113 \ - \ 36 \ \leq \ X \ \leq \ 113 \ + \ 36) \ = \ 0.9973 \\ \\ \\ \-\hspace{3.95cm} \Phi(77 \ \leq \ X \ \leq \ 149) \ = \ 0.9973

Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.

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Step-by-step explanation:

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