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almond37 [142]
3 years ago
14

Multiply 7i(5-9i) Please Help!

Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0

1. Distribute

7i × 5 + 7i × -9i

2. Simplify 7i × 5 to 35i

35i + 7i × -9i

3. Simplify 7i × -9i to -63ii

35i - 63ii

4. Use the Product Rule

35i - 63i^2

5. Use the Square Rule

35i - 63 × -1

6. Simplify 63 × -1 to -63

35i - (-63)

7. Simplify brackets

35i + 63

8. Regroup terms

63 + 35i

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Helen [10]

Solution :

Given :

The mean height of an American adult = 5 feet 10 inches

Therefore converting feet into inches,

We know, 1 feet = 12 inches

So, 5 feet = 5 x 12 = 60 inches

The mean height in inches = 60+10

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The standard deviation = 3 inches

x = 5 feet 7 inches

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∴ z score = \frac{x-mean}{sd}

                $=\frac{67-70}{3}$

                =\frac{-3}{3}

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Therefore, the man's height is 1 standard deviation below mean

Any score above greater than 3 or less than -3 is considered to be an outliner.

Here its only -1 and it is less than -3.

Therefore, the height of the man 5'7'' is not considered abnormally short.  

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noname [10]

The area of the shaded face of the cylinder is 1,520 mm².

<h3>How to find the area of the shaded area?</h3>

We can see that the shaded area of the cylinder is circular in shape.

This means that we can find the area of the shaded area by finding the area of the circle.

The radius of the circle is given as 22 mm.

The formula for finding the area of a circle is given as:

<em>Area = πr²</em>

= 3.14 × 22 × 22

= 1,519.76

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Therefore, we have found the area of the shaded face of the cylinder to be 1,520 mm².

Learn more about the area of a circle here: brainly.com/question/14068861

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