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storchak [24]
2 years ago
12

The shape below is a composite figure made up of two rectangular prisms, what is the volume of the figure?

Mathematics
2 answers:
gregori [183]2 years ago
5 0

Answer:

<u>11098 cm³</u>

Step-by-step explanation:

<u>Volume of top prism</u>

  • V = 62 x 3 x (13 - 7)
  • V = 186 x 6
  • V = 1116 cm³

<u>Volume of bottom prism</u>

  • V = 62 x 23 x 7
  • V = 1426 x 7
  • V = 9982 cm³

⇒ Total volume = Volume (top) + Volume (bottom)

⇒ Total volume = 1116 + 9982

⇒ Total volume = <u>11098 cm³</u>

viktelen [127]2 years ago
5 0
<h3>to find:</h3>

the volume of the given figure.

<h3>solution:</h3><h3>area:</h3>

= 179 \:  {cm}^{2}

<h3>volume:</h3>

area \: of \: c.s \:  \times h

= 179 \times 62

= 11098 \:  {cm}^{3}

<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>figure</u><u> </u><u>is</u><u> </u><u>1</u><u>1</u><u>0</u><u>9</u><u>8</u><u> </u><u>cubic</u><u> </u><u>centimeters</u><u>.</u>

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If the distribution is really (5.43,0.54)
defon

Answer:

0.7486 = 74.86% observations would be less than 5.79

Step-by-step explanation:

I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)

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.

The general format of the normal distribution is:

N(mean, standard deviation)

Which means that:

\mu = 5.43, \sigma = 0.54

What proportion of observations would be less than 5.79?

This is the pvalue of Z when X = 5.79. So

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

Z = \frac{5.79 - 5.43}{0.54}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486

0.7486 = 74.86% observations would be less than 5.79

7 0
3 years ago
Henry and his mom is making cupcakes for the PTA meeting the have to make 60 cupcakes but the PTA only needs 40 and it’s Henry b
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Step-by-step explanation:

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3 years ago
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alexira [117]

Answer:

2a²

Step-by-step explanation:

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Lets deal with the top of the fraction first:

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Rearrange it so you have numbers beside numbers and 'a's beside 'a's:

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Now, instead of (4ax3a³)/6a², we have 12a⁴/6a²

First divide the numbers: 12/6 =2

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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<u>Vertex form</u>:  y=a(x-h)^2+k

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