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PilotLPTM [1.2K]
3 years ago
13

The given bar graph shows the percentage of U.S. women in the labor force from 1960 through 2010. The function f left parenthesi

s x right parenthesis equals 3.5 square root of x plus 38 models the percentage of U.S. women in the labor force, f left parenthesis x right parenthesis , x years after 1960. Use this formula to solve the following questions.
US women in Labor Force

According to the model, when will 70% of the U.S. women participate in the work force? Show all work and explain your answer in the context of the problem.
Mathematics
1 answer:
ipn [44]3 years ago
3 0

Answer:

Half of year 2043

Step-by-step explanation:

The function is: f(x) = 3.5√x + 38

where f(x) represents the percentage of U.S. women in the labor force x years after 1960.

Replacing f(x) = 70 and isolating x, we get:

70 = 3.5√x + 38

3.5√x = 70 - 38

√x = 32/3.5

x = 9.14²

x = 83.5

This means, in year 1960 + 83.5 = 2043.5, that is, at half of year 2043

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Consider random samples of size 58 drawn from population A with proportion 0.77 and random samples of size 70 drawn from populat
fredd [130]

Answer:

Step-by-step explanation:

a) The formula for determining the standard error of the distribution of differences in sample proportions is expressed as

Standard error = √{(p1 - p2)/[(p1(1 - p1)/n1) + p2(1 - p2)/n2}

where

p1 = sample proportion of population 1

p2 = sample proportion of population 2

n1 = number of samples in population 1,

n2 = number of samples in population 2,

From the information given

p1 = 0.77

1 - p1 = 1 - 0.77 = 0.23

n1 = 58

p2 = 0.67

1 - p2 = 1 - 0.67 = 0.33

n2 = 70

Standard error = √{(0.77 - 0.67)/[(0.77)(0.23)/58) + (0.67)(0.33)/70}

= √0.1/(0.0031 + 0.0032)

= √1/0.0063

= 12.6

the standard error of the distribution of differences in sample proportions is 12.6

b) the sample sizes are large enough for the Central Limit Theorem to apply because it is greater than 30

8 0
3 years ago
Write a story that can be represented by the equation y=x+1/4x
makvit [3.9K]

This question is pretty much asking: Write a story that can be represented by the equation y=1.25x.

So, how about this one: Lily's mom tells Lily to clean up her toys. Lily puts toys away at a rate of one toy per every 1.25 seconds.

That's it, simple as that :P

(Sorry if it wasn't too helpful.)

7 0
3 years ago
The larger of to numbers is 12 more than the smaller. Their sum is 84. What are the two numbers?
Nataly_w [17]
36 and 48

a = b+12
a+b = 84

(b+12) + b =84
2b +12 = 84
2b = 72
b= 36

a = b + 12
a = 36 + 12
a = 48
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4 years ago
Jamal purchased a truck for $10,000. The truck depreciates 10% each year. What is the value of
Ulleksa [173]

Answer:

Step-by-step explanation:

Uui

7 0
3 years ago
84 is what percent of 212? round three decimal points before changing to a percent
Olegator [25]

The answer is 39.62%.

4 0
3 years ago
Read 2 more answers
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