25.12.2022

The city of Raleigh has 6000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 250 randomly selected registered voters was conducted. 100 said they'd vote for Brown, 141 said they'd vote for Feliz, and 9 were undecided. Describe the population actually represented by this survey.

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24.06.2023, solved by verified expert
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The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

Step-by-step explanation:

Given

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37 -- population

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37 -- sample

From the sample, the proportions are:

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37 -- Brown

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37 -- Feliz

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37 -- undecided

Required

Describe the actual population

The actual is calculated using:

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

So, for Brown

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

For Feliz

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

For undecided

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

The city of Raleigh has 6000 registered voters., №17886114, 25.12.2022 02:37

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Faq

Mathematics
Step-by-step answer
P Answered by PhD

Brown = 2400

Feliz = 3384

Undecided = 216

Step-by-step explanation:

Given

N = 6000 -- population

n = 250 -- sample

From the sample, the proportions are:

B = 100 -- Brown

F=141 -- Feliz

U = 9 -- undecided

Required

Describe the actual population

The actual is calculated using:

Actual = \frac{p}{n} * N

So, for Brown

Brown = \frac{100}{250} *6000

Brown = \frac{100*6000}{250}

Brown = \frac{600000}{250}

Brown = 2400

For Feliz

Feliz = \frac{141}{250} * 6000

Feliz = \frac{141* 6000}{250}

Feliz = \frac{846000}{250}

Feliz = 3384

For undecided

Undecided = \frac{9}{250}*6000

Undecided = \frac{9*6000}{250}

Undecided = \frac{54000}{250}

Undecided = 216

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

Mathematics
Step-by-step answer
P Answered by PhD

Cost before sale tax=$46.00

Cost after including tax=$48.76

Sale tax=$48.76-46.00

=$2.76

we know,

sale tax=((sales tax rate)/100) * cost before sale tax

2.76=((sales tax rate)/100) *46.00

sale tax rate=(2.76*100)/46

                   =276/46

                    =6%

There fore sales tax rate=6%

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