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tatyana61 [14]
2 years ago
10

In a study, a random sample of 2625 US adults were asked whether they agree or disagree that there is "only one true love for ea

ch person." The response and gender of the participants is shown in Table 1.
Male Female Total

Agree 372 363 735

Disagree 807 1005 1812

Don't know 34 44 78

Total 1213 1412 2625


Table 1 Is there only one true love for each person?


(a) Use the information in the table to construct a confidence interval for the difference in the proportion who agree, between males and females, using the fact that the standard error for the difference is .


Round your answers to three decimal places.


The 95% confidence interval is

to

.


(b) Is it plausible that there is no difference between males and females in the proportion who agree that each person has only one true love?
Mathematics
1 answer:
shutvik [7]2 years ago
3 0
No there is not only one person
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Answer:

7.3

Step-by-step explanation:

For this question, you must use the distance formula. The distance formula is based around Pythagorean Theorem, so you will see some similarities.

Distance = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

X2 is 7 (X coordinate of school)

X1 is 5 (X coordinate of friend's house)

7 - 5 = 2

2^2 = 4

Y2 is 7 (Y coordinate of school)

Y1 is 0 (Y coordinate of friend's house)

7 - 0 = 7

7^2 = 49

4 + 49 = 53

\sqrt{53} = 7.2801...

<em>Round to the nearest tenth...</em>

<em>7.3</em>

4 0
2 years ago
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3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round
Mariana [72]

The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying  \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone :  V=\pi r^{2} \frac{h}{3} = 3.14 \times 9^{2} \times \frac{14}{3} = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying  \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 9 inches. We take π as 3.14.

The volume of a full sphere =  V=\frac{4}{3} \pi r^{3} =  \frac{4}{3} \times 3.14 \times 9^{3} = 3,052.08 cubic inches.

The volume of the half-sphere =  \frac{3,052.08}{2} = 1,526.04 cubic inches.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.

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3 years ago
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Answer:

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Step-by-step explanation:

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Charlotte reads 8 1/2 pages in 10 minutes. What is her average reading rate in pages per minute?
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Members of a junior high basketball team want to brag about how tall they are. First, they measured each player’s height in inch
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First to find the median we need to put the numbers in order from least to greatest.

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Now take a number from each side

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Once again.

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So the median is 66.

Now to find the mean we must add all the numbers up

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which equals 476

Now divide 476 by the total number of heights which is 7

476/7=68

So the mean is 68

Answers: Mean; 68 Median; 66

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3 years ago
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