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sertanlavr [38]
3 years ago
5

Identify the volume of the composite figure. HELP PLEASE!!

Mathematics
1 answer:
Ilya [14]3 years ago
4 0

Answer:

Vol. of the composite figure is 189 m³

Step-by-step explanation:

Find the volume of the larger figure by mult. together its 3 dimensions:

V = (9 m)(8 m)(3 m) = 216 m³.

Next, find the volume of the "notch," which is (3 m)³, or 27 m³.

Finally, subtract the "notch" volume from the 216 m³ volume found earlier:

216 m³ - 27 m³ = 189 m³

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Using the normal distribution, it is found that 1851 people would have an IQ less than 115.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
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The mean and the standard deviation are given, respectively, by:

\mu = 100, \sigma = 15

The proportion of IQ scores less than 115 is the <u>p-value of Z when X = 115</u>, hence:

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

Z = \frac{115 - 100}{15}

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Z = 1 has a p-value of 0.8413.

Out of 2200 people:

0.8413 x 2200 = 1851.

More can be learned about the normal distribution at brainly.com/question/27643290

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