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saul85 [17]
2 years ago
14

A local television station for a city with a population of 500,000 recently conducted a poll where they invited viewers to call

in and voice their support or opposition to a controversial referendum that was to be voted on in an upcoming election. Over 10,000 people responded, with 67% opposed to the referendum. The TV station announced that they are convinced that the referendum will be defeated in the election.
Select the answer below that indicates whether the TV station's announcement is valid or invalid, and why.

a. Valid, because 67% is far enough above 50% to predict a majority vote.
b. Invalid, because the sample may not be representative of the population.
c. Valid, because the sample size is large enough to represent the population.
d. Invalid, because the sample is too small given the size of the population.
Mathematics
1 answer:
Scilla [17]2 years ago
8 0

Answer:

b. Invalid, because the sample may not be representative of the population.

Step-by-step explanation:

A sample of around 10% of the population is needed to be representative.

In this question:

We have a population of 500,000, and a sample of 10,000.

10,000/500,000 = 1/50 = 0.02 = 2% of the population, so not representative, and option b is correct.

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2. Multiply and simplify: (x - 2)(2x + 3)<br> Answer
inysia [295]

Step-by-step explanation:

(x - 2)(2x + 3)

=2x²+3x-4x-6

=2x²-x-6

8 0
3 years ago
Read 2 more answers
Georgia is 7 years younger than 5 times the age of her daughter, Veronica. Veronica will be 14 in 6 years. Part A Write and eval
balandron [24]
Georgia is 33 years old
14-6=8 (because it says she’ll be 14 in 6 years)
5x8=40 (because it says 5 times her age)
40-7=33 (because it says 7 years younger)
5 0
2 years ago
CAN ANYONE HELP ANSWER THIS
bija089 [108]

9514 1404 393

Answer:

  58

Step-by-step explanation:

The marked points on the graph show that the number of hot cocoas sold decreases by 6 when the temperature goes up by 6 degrees. That is, the line has a slope of -1. The y-intercept is 100, so the equation of the line can be written as ...

  y = mx +b . . . . . line with slope m and y-intercept b

  y = -x +100

Then for x = 42, the expected value of y is ...

  y = -42 +100 = 58

Mei Mei can expect to sell 58 hot cocoas on a day when the high is 42°F.

5 0
2 years ago
Is the statement (3^5)^4 = (3^4)^5 true? Explain your reasoning.
Evgesh-ka [11]

Answer:

We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).

Step-by-step explanation:

For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?

When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.

For this example, I recognize that the power rule of exponents is being used:

(a^{m})^{n}  = a^{m*n}

So let's apply this rule to the given equation.

(3^5)^4 = (3^4)^5

3^(5*4) = 3^(4*5)

3^20 = 3^20

Now we know both sides of the equation equal 3^20 (or 3486784401).

3 0
2 years ago
How do you change this into simplest form?
bulgar [2K]
You devide by 4 and it is 21 over 25
4 0
3 years ago
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