A survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employers. The margin of error for the population proportion is ± _____%.

Answers

Answer 1

Answer: In a survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employer, the margin of error for the population proportion is ± seventeen (17) or ± 5.67%.

Answer 2

Answer:

Answer:

Step-by-step explanation:

Given that A survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employers

i.e. sample size n =300

Sample proportion p = 0.10

q=1-p=0.9

Std error = $\sqrt{(pq)/(n) } =\sqrt{(x0.1(0.9))/(300) } \n=0.01732$

Margin of error at 95% would be

1.96*std error

= 0.0339=3.39%

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A rectangle has a perimeter of 26 cm and one of its sides has a length of 5 cm sketch a rectangle and label all of its sides lengths
Based on these data, are "being female" and "earning over $50,000" independent events?

Which expression is equivalent to 10x2y + 25x2?5x2(2y + 5)
5x2y(5 + 20y)
10xy(x + 15y)
10x2(y + 25)

Answers

The expression 10x^2y + 25x^2 is an algebraic expression, and the equivalent expression of 10x^2y + 25x^2 is 5x^2(2y + 5)

What are equivalent expressions?

Equivalent expressions are expressions that have equal values, when evaluated

The expression is given as;

10x^2y + 25x^2

Factor out 5x^2

10x^2y + 25x^2 = 5x^2(2y + 5)

The above means that the equivalent expression of 10x^2y + 25x^2 is 5x^2(2y + 5)

Read more about equivalent expressions at:

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$10 x^(2) y +25 x^(2) = 5 x^(2) ( (10 x^(2) y +25 x^(2) )/(5 x^(2) )) = 5 x^(2) ( (10 x^(2) y)/(5 x^(2) ) + (25 x^(2) )/(5 x^(2) ) ) = 5 x^(2) ( (2y)/(1) + (5)/(1) )$

Answer A 5x² * ( 2y + 5)

What is the graph of 3x + 5y = –15?

Answers

Answer:

Graph is option A

Step-by-step explanation:

3x + 5y = –15

To graph the equation , we need to get y alone

$3x + 5y = –15$

Subtract 3x on both sides

$5y = -3x–15$

Divide whole equation by 5

$y=-(3x)/(5) -3$

To graph this equation , we need to make a table

Plug in some number for x and find out y

x $y=-(3x)/(5) -3$

0 -3

-5 0

Two points on the graph is (-5,0) and (0,-3)

Graph is option A

The function f(x)=600+2x over x yields the average cost in dollars for a company to produce x calendars. Which statement best fits the situation modeled by the function? a) The company spends $600 on a new computer and printer before beginning the project.
b) The company takes 600 photos before selecting which ones to use for its calendars.
c) The company expects to sell 600 calendars each month.
d) The company will sell the calendars for $6.00 each.

Answers

Answer:

The correct option is a.

Step-by-step explanation:

The average cost function is

$f(x)=(600+2x)/(x)$

Where x is the number of calendars produced.

The average cost formula is

$AC=\frac{\text{Total Cost}}{\text{Number of items}}$

Therefore the total cost is defined b the function

$g(x)=600+2x$

Here 600 is the initial cost and the cost each unit is 2.

Initial cost is the fixed cost which occurs at zero level of productivity.

The company spends $600 on a new computer and printer before beginning the project. The option (a) is correct.

The function f(x)=600+2x over x yields the average cost in dollars for a company to produce x calendars. The statement best fits the situation modeled by the function "The company spends $600 on a new computer and printer before beginning the project.". The answer is letter A.

True or False. A function's graph may include solutions that do not appear in its table of values.

Answers

Yes it is true that a functions graph always include solutions that do not appear in its table of values.

What is a function?

An expression in mathematics defines a relationship between one variable (the independent variable, x) and another variable (the dependent variable, y). For example -

f(x) = 4x + 6

Given is a graph of function.

Yes a functions graph always include solutions that do not appear in its table of values. The graph of the function represent all the points that satisfy the function on both sides. The table of values is made just to represent only some of the solutions from the total solutions.

Therefore, yes it is true that a functions graph always include solutions that do not appear in its table of values.

To solve more questions on functions, visit the link below -

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true is the final correct answer

If a function f ( x ) has values f ( 4 ) = 6 and f ( 8 ) = 18, use what you have learned about function patterns to find f ( 16 ) = if f ( x ) is: a.) Linear function: f ( 16 ) = b.) Power function: f ( 16 ) = c.) Exponential function: f ( 16 ) = d.) Logarithmic function: f ( 16 ) =