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snow_lady [41]
3 years ago
5

The dimensions of a rectangular prism are shown below:

Mathematics
1 answer:
quester [9]3 years ago
4 0

Answer:

84 cubes

28/9 ft³

Step-by-step explanation:

<u>Dimensions:</u>

  • L = 1 1/3 ft = 4/3 ft
  • W = 1 ft
  • H = 2 1/3 ft = 7/3 ft
  • Small cube has side of 1/3
<h3>Part A</h3>

<u>Volume formula: V= lwh</u>

  • V = 4/3*1*7/3 = 28/9 ft³

<u>Small cube has volume of:</u>

  • (1/3)³ = 1/27 ft³

<u>Number of small cubes:</u>

  • 28/9 ÷ 1/27 = 28/9×27 = 28×3 = 84
<h3>Part B</h3>
  • 28/9 ft³ unit cube
  • 84 unit³ of 1/3 ft
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The table below shows the heights of 6 pairs of brothers and sisters, ​labeled A through F .
scoray [572]

Answer:

The difference is <em>2 inches</em>

Step-by-step explanation:

Firstly, we identify the equation as given in the question;

y = 1.42105x - 32.2632

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Let's say the brothers' heights is x, we select any of the data points; (68,64)

we input this into the line of best fit equation; 64 =1.42105(68) - 32.2632 = 96.6314-32.2632=  64.3682

We can see the value on the left hand side of the equation correlates with that on the right hand side. This confirms our assumption that the brothers' heights refer to the independent variable x.

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4 0
3 years ago
(-2) with an exponent of four equals what
charle [14.2K]
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The Patterson family has 3 kids, 1 boy and 2 girls. Suppose that for each birth, the probability of a boy birth is 1/2, and the
elena-14-01-66 [18.8K]

Answer:

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Step-by-step explanation:

Given

Represent Boys with B and Girls with G

P(B) = \frac{1}{2}

P(G) = \frac{1}{2}

Required

Find the probability or having 1 boy 2 girls

Since the order is not important, the probability is calculated as follows;

Probability = P(B) * P(G) * P(G)

Substitute \frac{1}{2} for P(B) and P(G)

Probability = \frac{1}{2} * \frac{1}{2} * \frac{1}{2}

Probability = \frac{1 * 1 * 1}{2 * 2 *2}

Probability = \frac{1}{8}

<em>Hence, the fractional probability is </em>\frac{1}{8}<em></em>

<em></em>

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3 years ago
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