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posledela
2 years ago
11

In the following diagrams calculate the

Mathematics
1 answer:
alex41 [277]2 years ago
4 0

Answer:

<em>x ≈ 6.5 , y ≈ 12.1</em>

Step-by-step explanation:

(2x)² + (10.2)² = (16.5)²

4x² = 272.25 - 104.04

x² = 168.21 ÷ 4

<em>x</em> = √(42.0525) ≈ <em>6.5</em>

y² = 42.0525 + 104.04 = 146.0925

<em>y</em> = √(146.0925) ≈ <em>12.1</em>

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Answer:

A. We have extremely strong evidence to reject H0.

Step-by-step explanation:

Let P be the proportion of non-retirees in 2015 who did not think that Social Security would be able to pay a retirement benefit by the time that they retire.

According to the data null and alternative hypotheses should be:

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  • H_{a}: P<0.60

Test statistics is -4.29 and p-value of the statistics is p<0.001

At every significance levels higher than 0.001, we can reject the null hypothesis since p<0.001.

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4 years ago
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3 years ago
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3 years ago
A plane takes off and flies at an angle of 11° with the ground. When it reaches an elevation of 500 ft, what is the distance flo
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Answer:

It had flown 2620 ft along the diagonal.

Step-by-step explanation:

When the plane is taking off it forms we can form a triangle with it's height, horizontal distance and diagonal distance, which can be seen in the attached drawing. We can use the sine relation on the right triangle to determine "x", as shown below:

sin(11°) = 500/x

x*sin(11) = 500

x = 500/[sin(11)] = 2620 ft

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7 0
3 years ago
In 2014, the population of China was 1.39 billion. Compare China’s 2014 population to the world population with a ratio. Write y
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Answer:

Faction of population = 1.39 / 7.2

Percentage of population = 19.3% (Approx.)

Step-by-step explanation:

Given:

China's population in 2014 = 1.39 billion (Approximately)

Find:

Compare China's population to world population

Computation:

World's population in 2014 = 7.2 billion (Approximately)

Faction of population = China's population in 2014 / World's population in 2014

Faction of population = 1.39 / 7.2

Percentage of population = [China's population in 2014 / World's population in 2014]100

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Percentage of population = [0.193]100

Percentage of population = 19.3% (Approx.)

6 0
3 years ago
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