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How much will a cube shaped box hold if each side measures 3.5ft

poizon [28]

Answer:

A cube shaped box can hold 42.875 cubic ft if each side measures 3.5ft

Step-by-step explanation:

We have given a cube shaped box.

Each side of a cube measures 3.5ft

A cube shaped box can hold up-to its maximum volume capacity.

That means , we need to find the volume of cube.

volume of cube = $side^{3}$

Here side = 3.5 ft

So, volume of cube = $3.5^{3}$

Volume of cube = 42.875 cubic ft

7 0

3 years ago

A random sample of 625 10-ounce cans of fruit nectar is drawn from among all cans produced in a run. Prior experience has shown

diamong [38]

Answer:

10.57% probability that the mean contents of the 625 sample cans is less than 9.995 ounces.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 10, \sigma = 0.1, n = 625, s = \frac{0.1}{\sqrt{625}} = 0.004$