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andreyandreev [35.5K]
3 years ago
6

Pls help bromeo’s

Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0

Answer:

946.19 cm²

Step-by-step explanation:

Ok, we are going to split the shape into the semi-circle and the trapezoid:

<h3>Semi-Circle:</h3>

Here's the formula for the area circle: πr²

Because the semi-circle is just half of a circle, the area of a semi-circle :

(πr²) ÷2

Step 1: Input Information

The radius (r) is 1/2 the diameter (a) of the circle

Radius = 1/2(24) = 12

Now we have enough info to solve for the Area

Step 2: Solve for Area

A = (12²π) ÷2

A = (144π) ÷2

A = 72π

A ≈ 226.19

Area semi-circle is 226.19 cm²

<h3>Trapezoid</h3>

The formula for the area of a trapezoid is : h(b1 + b2) ÷ 2

The height (h) over here is c, or 24 cm

The base 1 (b1) is a, or 24 cm

The base 2 (b2) is b, 36 cm

Step 1: Input Information

Our new equation becomes:

A = c(a + b) ÷ 2

A = 24(24 + 36) ÷2

Step 2: Solve for area

A = 24(24 + 36) ÷ 2

A = 24(60) ÷ 2

A = 24(30)

A = 720

Area of the trapezoid is 720 cm²

<h3>Total Area:</h3>

Now, we just simply add the two values together

226.19 cm² + 720 cm² = 946.19 cm²

-Chetan K

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The variance of a distribution is the square of the standard deviation

The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

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So, we have:

E(x) = 1 * 0.3 + 2* 0.2 +3 * 0.2 + 4 * 0.1 + 5 * 0.2

This gives

E(x) = 2.7

Next, calculate E(x^2) using:

E(x^2) = \sum x^2* P(x)

So, we have:

E(x^2) = 1^2 * 0.3 + 2^2* 0.2 +3^2 * 0.2 + 4^2 * 0.1 + 5^2 * 0.2

E(x^2) = 9.5

The variance is then calculated as:

Var(x) = E(x^2) - (E(x))^2

So, we have:

Var(x) = 9.5 - 2.7^2

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Read more about variance at:

brainly.com/question/15858152

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Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

<u>Step 1:</u><u> </u><u><em>Remove parentheses.</em></u>

12 (2 − 2) + 32 = x + 6 + 2

<u>Step 2:</u><u> </u><u><em>Simplify 2 − 2 to 0.</em></u>

12 × 0 + 32 = x  + 6 + 2

<u>Step 3:</u><u> </u><u><em>Simplify 12 × 0 to 0.</em></u>

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<u>Step 4:</u><u> </u><u><em>Simplify 0 + 32 to 32.</em></u><em> </em>

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