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kirill115 [55]
3 years ago
13

The mayor of the city of San Diego wants to increase taxes to invest in a modern transit system. She hires a polling agency to s

elect at random 650 registered voters in the city to survey to determine the maximum percentage increase in municipal taxes that they would approve.
Part A: What is the population in this survey? Explain your answer using complete sentences. (1 point)


Part B: What is the population parameter? Explain your answer using complete sentences. (2 points)


Part C: What is the sample in this survey? Explain your answer using complete sentences. (2 points)
Mathematics
1 answer:
sasho [114]3 years ago
4 0

Answer:

Step-by-step explanation:

Part A: What is the population in this survey?

The population in this context is the total number of registered voters in the whole city of San Diego.

Part B: What is the population parameter

The population parameter in this survey is the maximum percentage increase in municipal taxes that they would approve.

Part C: What is the sample in this survey?

The sample in this survey is the randomly selected 650 registered voters in the city.

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Assume your diagram is like the one below.

The intersecting secant angles theorem states, "When two secants intersect outside a circle, the measure of the angle formed is one-half the difference between the far and the near arcs."

For your diagram, that means

\begin{array}{rcl}m\angle L &=&\dfrac{1}{2} \left(m \widehat {JM} - m\widehat {PQ}\right)\\\\(3x + 13)^{\circ}& = &\dfrac{1}{2} \left[(8x + 48)^{\circ} - (5x - 20)^{\circ}\right]\\\\3x + 13& = &\dfrac{1}{2}(8x + 48 - 5x + 20)\\\\3x + 13& = &\dfrac{1}{2}(3x + 68)\\\\6x + 26 & = & 3x + 68\\6x & = & 3x + 42\\3x & = & 42\\x & = & \mathbf{14}\\\end{array}

Check:

\begin{array}{rcl}(3\times14 + 13) & = &\dfrac{1}{2} \left[(8\times14 + 48)^{\circ} - (5\times14 - 20)^{\circ}\right]\\\\42 + 13& = &\dfrac{1}{2}(112 + 48 - 70 + 20)\\\\55& = &\dfrac{1}{2}(110)\\\\55 & = & 55\\\end{array}

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