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bezimeni [28]
2 years ago
12

a senator wishes to estimate the proportion of united states voters who favor new road construction. what size sample should be

obtained in order to be 95% confident
Mathematics
1 answer:
Nitella [24]2 years ago
8 0

The  size of the sample should be obtained at 2401 in order to be 95% confident

Given that:

Margi of error, ME=0.02

Population proportion, p=0.50

To Find: The size of the sample that should be obtained in order to be 95% confident

Let the size of the sample be n

Using formula,

n=(p*(1-p))*(z(0.05/2)/ME)^{2} \\n=(0.5*(1-0.5))*(1.96/0.02)^{2} \\n=0.25*9604\\n=2401

Therefore, the size of the sample should be obtained at 2401 in order to be 95% confident

Learn more about Population proportion here brainly.com/question/15703406

#SPJ4

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Question 5(Multiple Choice Worth 1 points)
Snezhnost [94]

Given:

The graph passes through the points (0,-20) and (4,10).

To find:

The equation of line that most closely represents the line depicted in the graph.

Solution:

If a line passing through two points, then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The given line passes through the points (0,-20) and (4,10). So, the equation of line is

y-(-20)=\dfrac{10-(-20)}{4-0}(x-0)

y+20=\dfrac{10+20}{4}(x)

y+20=\dfrac{30}{4}x

y+20=\dfrac{15}{2}x

Subtracting 20 from both sides, we get

y=\dfrac{15}{2}x-20

The function form is

f(x)=\dfrac{15}{2}x-20

f of x equals fifteen halves times x minus 20.

Therefore, the correct option is B.

7 0
3 years ago
Find the difference. m+2/(m-4)^2 - m-2/(m-4)^2​
jeka57 [31]

Answer:

4/(m-4)^2

Step-by-step explanation:

=(m+2)/(m-4)^2-(m-2)/(m-4)^2

=m+2-m+2/(m-4)^2

= 4/(m-4)^2

This is the correct answer.

6 0
3 years ago
Which expressions are equivalent to 16? Select each correct expression
photoshop1234 [79]

Answer: Choose 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1

Step-by-step explanation:

When working with exponents, whatever number is the corner of another number, multiply it by itself. For instance, if you have 2 to the 4th power, multiply 2x2x2x2 which is 16. Also there is 4 to the 2nd power which is 4x4 which is also 16. Lastly you have 16 to the power of 1 and anything multiplied by 1 stays the same.

4 0
2 years ago
If I spend $10,000 on 6,000 products and sell each products for $15 how much would I make back?
alexgriva [62]

Answer:

$400

Step-by-step explanation:

8 0
3 years ago
If s(x) = 2 - x2 and t(x) = 3x, which value is equivalent to (sºt)(-7)?
Bogdan [553]

Answer:

Algebra archive containing a full list of algebra questions and answers from October ... Given the sample space, S = {2,5,7,10), determine the answers to the ... +5x2-4x-20 x2+3x Points out of 8.75 Select one: P Flag question a. ... + 5 t(x)=x -2 Write the expressions for (s•t)(x) and (s + t)(x) and evaluate (s - t)(-1). (sºt)(x) = 0 (s.

Step-by-step explanation:

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2 years ago
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