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Fantom [35]
3 years ago
11

Natalia is moving into a new house. All together, her furniture weighs 3,204 pounds. If it takes 8 trucks to carry all of Natali

a's furniture, what is the average weight load on each truck? A. 640.8 pounds per truck B. 801 pounds per truck C. 1,602 pounds per truck D. 400.5 pounds per truck
Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Answer:

D

Step-by-step explanation:

The average can be found by dividing the number of pieces (or trucks in this case) by the total, so 3204/8=400.5 pounds, or D as our answer

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Find an equation of the sphere which contains points A(1, 3, 2) and B(4, 3, 7) and the distance between A and B is equal to the
Marina86 [1]

Answer:

The answer is 8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2

Step-by-step explanation:

First we need to find diameter of the sphere. The distance point A and point B is:

d=\sqrt{(4-1)^2+(3-3)^2+(7-2)^2} \\d=\sqrt{3^2+0^2+5^2} \\d=\sqrt{34} \\d=5.83

d/2=r=2.92

radius of the sphere is 2.92 units

and the center of the sphere is:

C=((4+1)/2,(3+3)/2,(7+2)/2)

C=(2.5,3,4.5)

We can write the equation of the sphere as:

r^2=(x-2.5)^2+(y-3)^2+(z-4.5)^2\\8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2

4 0
3 years ago
Of 136 randomly selected adults, 33 were found to have high blood pressure. Construct a 95% confidence interval for the true of
navik [9.2K]

Answer:

The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 < \hat{p} < 0.314695

Step-by-step explanation:

The confidence interval for a proportion is given by the following formula;

CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}

Where:

x = 33

n = 136

\hat{p} = x/n = 33/136 = 0.243

z value for 95% confidence is 1.96

Plugging in the values, we have;

CI=0.243\pm 1.96\times \sqrt{\frac{0.243(1-0.243)}{136}}

Which gives;

0.17059 < \hat{p} < 0.314695

Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 < \hat{p} < 0.314695

From the above we have;

23.2 < x < 42.798

Since we are dealing with people, we round down as follows;

23 < x < 42.

4 0
3 years ago
Pleaseee HELPP MEE WITHH THIS QUESTION!
Zina [86]

Answer:

1120°

Step-by-step explanation:

Use the sum of interior angles formula:

180(n-2)

Where n is the number of sides.

In a nonagon, there are 9 sides, substitute 9 for n:

180(9-2)\\180(7)\\1260

Since our nonagon is a regular nonagon, all 9 angles measure the same, so each angle measures:

\frac{1260}{9} =140

Subtract 140 from 1260:

1260-140=1120

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2 years ago
Nevaeh had 12 blue pencils and 18 red pencils to give out equally among the maximum number of classmates. How many red pencils w
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Answer:

The answer to this problem is 3

Step-by-step explanation:

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Please, see the attached file.

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