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vekshin1
3 years ago
6

An interactive poll on the front page of the CNN website in October 2011 asked if readers would consider voting for Herman Cain,

a Republican presidential candidate. A statistics student used the information from the poll to calculate the 95% confidence interval. He got (0.53, 0.59). He also conducted a hypothesis test. He found very strong evidence that more than half of voters would consider voting for Herman Cain. To what population do these conclusions apply?
A. They apply to all likely voters.

B. They apply to the population of those who visit the CNN website.

C. The results do not apply to any population because this was a voluntary response sample.

D. They apply to the population of those who visited the CNN website while the poll was on the front page.
Mathematics
1 answer:
Triss [41]3 years ago
8 0

Answer:

The correct option is C) The results do not apply to any population because this was a voluntary response sample.

Step-by-step explanation:

Consider the provided information.

A statistics student used the information from the poll to calculate the 95% confidence interval.

A voluntary response sample is made up of volunteers. these types of samples are always biased.

Because the people who join the sample have strong opinions about a topic in either direction.

Therefore, the correct option is C) The results do not apply to any population because this was a voluntary response sample.

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Can anyone help?
SVEN [57.7K]

For the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Since the equation is (2k + 1)x² + 2x = 10x - 6, we collect subtract 10x from both sides and add 6 to both sides.

So, we have (2k + 1)x² + 2x - 10x + 6 = 10x - 6 - 10x + 6

(2k + 1)x² - 8x + 6 = 0

For the equation, (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, this new equation (2k + 1)x² - 8x + 6 = 0 must also have two real and equal roots.

For the equation to have two real and equal roots, its discriminant, D = 0.

D = b² - 4ac where b = -8, a = 2k + 1 and c = 6.

So, D =  b² - 4ac

D =  (-8)² - 4 × (2k + 1) × 6 = 0

64 - 24(2k + 1) = 0

Dividing through by 8, we have

8 - 3(2k + 1) = 0

Expanding the bracket, we have

8 - 6k - 3 = 0

Collecting like terms, we have

-6k + 5 = 0

Subtracting 5 from both sides, we have

-6k = -5

Dividing through by -6, we have

k = -5/-6

k = 5/6

So, for the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Learn more about quadratic equations here:

brainly.com/question/18162688

4 0
3 years ago
Can someone please help me figure out what’s 18 3/4 as a decimal
dmitriy555 [2]

Answer:

18.75

Step-by-step explanation:

If you covert this into a mixed fraction it would be 75/4 (4*18 is 72 then add the 3 in the numerator) then divide, 75/4 = 18.75 (sorry if explanation is bad)

7 0
2 years ago
Read 2 more answers
Masón has planted 6 rows in the vegetable garden. He continues to work, planting 1 row every 2 hours. Write an equation to repre
Sophie [7]
Y=.5x+6

I believe this is right sorry if it’s not.
5 0
3 years ago
How do I do this question? Please Help!
AURORKA [14]

Answer:

2x+50 and 5x-55 both are congruent or have same measure.

Step-by-step explanation:

Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.

First of, we know that AC is a straight line and has a measure as 180° via straight angle.

x+25 and 2x+50 are supplementary which means they both add up to 180°.

Sum of two measures form a straight line which has 180°.

Therefore:-

x+25+2x+50=180

Combine like terms:-

3x+75=180

Subtract 75 both sides:-

3x+75-75=180-75

3x=105

Divide both sides by 3.

x=35°

Thus, x = 35°

Then we substitute x = 35 in every angles/measures.

x+25 = 35°+25° = 60°

2x+50 = 2(35°)+50° = 70°+50° = 120°

5x-55 = 5(35°)-55 = 175°-55° = 120°

Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.

5 0
3 years ago
Read 2 more answers
Evaluate 2/3x -16 when x= 18<br>A.-6<br>B.-4<br>C.2<br>D.4​
const2013 [10]
2/3 of 18 is 12
then 12- 16 is -4
SO B
8 0
3 years ago
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