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3 years ago

Write each fraction as a percent. 1. 3/10 2. 7/20 3. 8/25

2 answers:

german3 years ago

5 0

First one: 30%
Second one: 35%
Third one: 32 %
To find percents, dived the top half of the fraction by the bottom half, then times by 100. So: 45 people out of 200 like your picture. 45 divided by 200 is .225, then times by 100 (which essentially moves the decimal place over twice to the right) which is 22.5%<span />

allsm [11]3 years ago

4 0

3/10=30/100=30%
7/20=35/100=35%
8/25=32/100=32%

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Statuary Hall is an elliptical room in the United States Capitol in Washington, D.C. The room is also called the Whispering Gall

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Answer: a) $\frac{x^{2} }{2352.25 }$ + $\frac{y^{2} }{529}$ = 1

b) The distance of two foci is 85.4 feet

c) Area = 3502.67 square feet

Step-by-step explanation: a) An ellipse has the equation in the form of:

$\frac{x^{2} }{a^{2} }$ + $\frac{y^{2} }{b^{2} }$ = 1, where a is the horizontal axis and b is the vertical axis.

For the Statuary Hall, a = $\frac{97}{2}$ = 48.5 and b = $\frac{46}{2}$ = 23, so the equation will be

$\frac{x^{2} }{2352.25 }$ + $\frac{y^{2} }{529}$ = 1.

b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:

$a^{2}$ = $b^{2} + c^{2}$

$c^{2} = a^{2} - b^{2}$

c = $\sqrt{48.5^{2} - 23^{2} }$

c = 42.7

The distance is 2c, so 2·42.7 = 85.4 feet.

The two foci are 85.4 feet apart.

c)The area of an ellipse is given by:

A = a.b.π

A = 48.5 · 23 · 3.14

A = 3502.67 ft²

The area of the floor room is 3502.67ft².

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3 years ago

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Answer:

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Step-by-step explanation:

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WARRIOR [948]

Answer:

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Step-by-step explanation:

Here in this question, we are interested in calculating the z-score for a student that had a particular mark at the test

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z-score = (x - mean)/SD

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Plugging these values in the equation, we have;

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Darina [25.2K]

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