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tatyana61 [14]
4 years ago
12

Rabekah is filling a cube-shaped box with small cubes. the volume of each of these cubes is 1 cubic centimeter. She has already

put in some of these cubes into the box as shown in the model.
what is the total number of small cubes that will fit in the box?

Mathematics
1 answer:
Vinvika [58]4 years ago
8 0
Well it shows that the main cube is 9 blocks tall. It is a perfect cube, not a rectangular prism or anything, so every side is the same. So 9 cubed. Or, in other words, 9*9*9
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In a study, 42% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people
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Answer:

The probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.6483.

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of adults questioned reported that their health was excellent.

A random sample of <em>n</em> = 11 adults are selected randomly selected from an area a nuclear power plant.

Of these 11 adults <em>X</em> = 3 reported that their health was excellent.

The proportion of adults who reported that their health was excellent is:

p=\frac{X}{n}=\frac{3}{11}

An adult's health condition is not affected by others, i.e. they are independent.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 11 and <em>p</em> = \frac{3}{11}.

The probability mass function of <em>X</em> is:

P(X=x)={11\choose x}(\frac{3}{11})^{x}(1-\frac{3}{11})^{11-x};\ x=0,1,2,3...

Compute the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health as follows:

P (X ≤ 3) = P (X = 0) + P (X = 1) + P (X = 2) + P (X = 3)

              =\sum\limits^{3}_{x=0}{{11\choose x}(\frac{3}{11})^{x}(1-\frac{3}{11})^{11-x}}\\=0.02998+0.12385+0.23254+0.26197\\=0.64834\\\approx 0.6483

Thus, the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.6483.

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3 years ago
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