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faust18 [17]
3 years ago
14

At winstead elementary school 10.2% of the 88 boys have blue eyes and 5.3% of the 75 girls have blue eyes. What percent of the s

chool as a whole had blue eyed students
Mathematics
1 answer:
IrinaK [193]3 years ago
7 0

Answer: ≈ 8%

Step-by-step explanation:

Total number of students = total number of boys + total number of girls

Total number of students = 88 + 75

Total number of students =  163

10.2% of the boys have blue eyes , this means that 10.2% of 88 have blue eyes

\frac{10.2}{100} x 88 = 8.976

Since we are dealing with humans , therefore , this means that 9 boys have blue eyes.

Also , 5.3% of the girls have blue eyes means that 5.3% of 75 have blue eyes. That is

\frac{5.3}{100} x 75 = 3.975 , therefore : 4 girls have blue eyes.

In total , 13 students have blue eyes

Therefore , to calculate the % of students that have blue eyes , we have :

13/163 x 100 = 7.975460123

Therefore : ≈ 8% of the students have blue eyes

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The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

<u>Pyramid A</u>

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<u>Pyramid B</u>

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Required

Determine the volume of pyramid B <em>[Missing from the question]</em>

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

V = \frac{1}{3} * B * h

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B = \frac{1}{2} * s^2 * sin(60)

Where s represents the side lengths

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B = \frac{1}{2} * s^2 * sin(60)

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V = \frac{1}{3} * B * h

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Make h the subject

h = \frac{3 * 36}{4\sqrt 3}

h = \frac{3 * 9}{\sqrt 3}

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V = \frac{1}{3} * B * h

Since the heights of both pyramids are the same, we can make use of:

h = \frac{27}{\sqrt 3}

The base area B, is then calculated as:

B = \frac{1}{2} * s^2 * sin(60)

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V = \frac{1}{3} * 9 * 27

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