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mart [117]
3 years ago
13

Write inequalites to describe the region. The solid cylinder that lies on or below the z=8 and or above the disk in the xy-plane

with center the origin and radius 2
Mathematics
1 answer:
Vladimir79 [104]3 years ago
8 0

Answer:

x^2 + y^2 <= 4, 0 <= z <= 8

Step-by-step explanation:

  1. Region that lies on/below the plane means Z<=8
  2. Region that lies on/above the xy plane means Z>=0.

Combining 1 and 2, we get

0<=Z<=8

If we want disk  of radius 2 in x-y plane to be centered at origin the inequality becomes:

x^2 + y^2 <= 4

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Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for
Tpy6a [65]

Answer:

B. Yuri divided by n instead of n-1

Step-by-step explanation:

It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,

σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n

Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.

3 0
3 years ago
The shortest warmer was blue. The two longest warmers were pink.
bogdanovich [222]

Answer:

8

Step-by-step explanation:

The shortest leg warmer:

4.5

The longest leg warmers:

6 and 6.5

6 + 6.5 = 12.5

12.5 - 4.5 = 8

4 0
2 years ago
Howard is designing a chair swing ride. The swing ropes are 55 meters long, and in full swing they tilt in an angle of 29? . How
Allushta [10]

Answer: 50.85 meters

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

cos 29 = \frac{55}{h}

55 cos 29 = h

48.10 = h

Pole  = h + 2.75

        = 48.10 + 2.75

         = 50.85

3 0
3 years ago
Read 2 more answers
A shopkeeper bought some eggs at ¢15 each. Six of them were broken while the rest were sold at ¢20 each. If he made a profit of
zvonat [6]
In the given problem it is already stated that the cost of each eggs is 15 cent. Out the total eggs bought 6 were broken. The rest of the eggs were sold for 20 cents each and the profit made was $4.80.
Cost of the 6 broken eggs = (6 * 0.15)
                                           = 0.9 cents
Let us assume that the number of eggs bought = x
Then we can write the equation as
0.2x - (0.15x - 0.9) = 4.80
0.2x - 0.15x + 0.9 = 4.80
0.05x = 4.80 - 0.9
0.05x = 3.9
x = 3.9/0.05
   = 78
So the number of eggs bought by him is 78
6 0
3 years ago
5 . x^2 /x^2 for x=2
goblinko [34]

Answer:

1

Step-by-step explanation:

Hello!

Plug in 2 for x and simplify.

<h3>Evaluate</h3>
  • \frac{x^2}{x^2}
  • \frac{2^2}{2^2}
  • \frac44
  • 1

We could have also simplified the fraction first. If a fraction has the same number in the numerator and the denominator, then it is always equal to 1, no matter what values of x.

6 0
1 year ago
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