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VikaD [51]
2 years ago
9

Help please will mark brainliest only if correct

Mathematics
2 answers:
Bumek [7]2 years ago
4 0

Answer:

33 units³

Step-by-step explanation:

<u>Volume of a rectangular prism</u>

\sf Volume = Area\:of\:base \times height

From inspection of the given diagram:

  • Area of base = 9 units²
  • Height = 3 ²/₃ units

Substitute the given values into the formula and solve for volume:

\begin{aligned}\sf \implies Volume & = \sf 9 \times 3 \dfrac{2}{3}\\\\& = \sf 9 \times \dfrac{3 \times 3+2}{3}\\\\& = \sf 9 \times \dfrac{11}{3}\\\\& = \sf \dfrac{9 \times 11}{3}\\\\& = \sf \dfrac{99}{3}\\\\& = \sf \dfrac{33 \times \diagup\!\!\!\!3}{\diagup\!\!\!\!3}\\\\& = \sf 33\:units^3 \end{aligned}

Learn more about rectangular prisms here:

brainly.com/question/27976394

uysha [10]2 years ago
4 0

\boxed{\sf Volume=Area\:of\:base\times Height}

\\ \tt\dashrightarrow Volume=9\times3 \dfrac{2}{3}

\\ \tt\dashrightarrow Volume=9\times \dfrac{11}{3}

\\ \tt\dashrightarrow Volume=3(11)

\\ \tt\dashrightarrow Volume=33units³

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3 years ago
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3 years ago
Find the total number of unit cube that fill the entire prism
Nonamiya [84]

Answer:

72 cubes

Step-by-step explanation:

Attached is the picture drawn (though not great one), showing 6 cube on length of prism, 3 cubes on width and 4 cubes on height of prism.

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To know the number of cubes, which can fill the entire prism, we need to find volume of prism.

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3 0
3 years ago
For a standard normal random variable, what z-score has (a) probability 0.175 to the right?
Mumz [18]
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Explanation: 

Let S = z-score that has a probability of 0.175 to the right. 

In terms of normal distribution, the expression "probability to the right" means the probability of having a z-score of more than a particular z-score, which is Z in our definition of variable Z. In terms of equation:

P(z ≥ S) = 0.175   (1)

Equation (1) is solvable using a normal distribution calculator (like the online calculator in this link: http://stattrek.com/online-calculator/normal.aspx). However, the calculator of this type most likely provides the value of P(z ≤ Z), the probability to the left of S.

Nevertheless, we can use the following equation:

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P(z ≤ S) = 0.825
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7 0
3 years ago
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