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max2010maxim [7]
3 years ago
12

In a certain​ country, the life expectancy for women in 1900 was 4949 years and in 2000 it was 8181 years. Assuming that life ex

pectancy between 2000 and 2100 increases by the same percentage as it did between 1900 and​ 2000, what will the life expectancy be for women in​ 2100?
Mathematics
1 answer:
Phantasy [73]3 years ago
4 0

Answer:

The life expectancy for 2100 will be 134 years.

Step-by-step explanation:

Consider the provided information.

In 1900 women life expectancy was 49 years and in 2000 it was 81 years.

First calculate the difference of life expectancy between 1900 to 2000.

81-49=32 years

Percentage change is:

\text{Percentage change}=\frac{32}{49}\times 100\approx65.31

It is given that the increase in percentage remains same.

Therefore, next year life expectancy will be:

\begin{aligned}81+65.31\% \times81&=81(1+\frac{65.31}{100})\\&=81(1.6531)\\&=133.9011\approx134\end{aligned}

Hence, the life expectancy for 2100 will be 134 years.

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y=x

Step-by-step explanation:

one type of coordinate cant = another

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Alice stand at point A and looks at the top of a 17.8 m tree TB, such that her line of sight makes an angle 38° with the horizon
Nesterboy [21]

Answer:

Step-by-step explanation:

let the horizontal distance be x

(17.8-1.5)/x = tan 38

or x = 16.3/tan38

or x = 20.863

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It's -25 in Alaska and 75 in Florida. How much hotter is it in Florida than in Alaska?
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Just subtract to find the difference.

75 - (-25) = 75 + 25 = 100.

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3 years ago
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When angles are complementary, the sum of their measures is 90 degrees.Two complementary angles have measures of 2x-10 degrees a
Mariana [72]

Complementary angles are those angles whose sum is 90 degree.

The measurement of two complementary angles are

(2x-10), (3x-10)

There sum have to be 90 degree. That is

2x-10+3x-10 = 90

Combining like terms ,

5x - 20 = 90

Moving 20 to right side

5x=110

Dividing both sides by 5

x =22

So the measurement of the angles are

2*22-10 , 3*22-10  \\
34 degree,  56 degree

6 0
3 years ago
Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund
ser-zykov [4K]

<u>Testing the hypothesis</u>, it is found that since the <u>p-value of the test is 0.0042 < 0.01</u>, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.

At the null hypothesis, it is tested if the <u>proportion is of 0.5</u>, that is:

H_0: p = 0.5

At the alternative hypothesis, it is tested if the <u>proportion is different of 0.5</u>, that is:

H_1: p \neq 0.5

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1 - p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the value tested at the null hypothesis.
  • n is the sample size.

In this problem, the parameters are given by:

p = 0.5, n = 483 + 398 = 881, \overline{p} = \frac{483}{881} = 0.5482

The value of the test statistic is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1 - p)}{n}}}

z = \frac{0.5482 - 0.5}{\sqrt{\frac{0.5(0.5)}{881}}}

z = 2.86

Since we have a <u>two-tailed test</u>(test if the proportion is different of a value), the p-value of the test is P(|z| > 2.86), which is 2 multiplied by the p-value of z = -2.86.

Looking at the z-table, z = -2.86 has a p-value of 0.0021.

2(0.0021) = 0.0042

Since the <u>p-value of the test is 0.0042 < 0.01</u>, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.

A similar problem is given at brainly.com/question/24330815

3 0
2 years ago
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