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Rashid [163]
2 years ago
13

In an apartment complex with 28 units, 19 of the renters keep a pet. What percentage does not keep a pet?

Mathematics
1 answer:
Aleks04 [339]2 years ago
6 0

If 19 out of 28 renters keep a pet, there are 28-19 = 9 renters who don't keep a pet.

Whenever you have a subset of some set, and you want to know which percentage of the set the subset represents, you simply have to compute

\dfrac{\text{number of elements in the subset}}{\text{number of elements in the set}}\times 100

So, in your case, you're wondering what percentage of 28 does 9 represent. So, the formula becomes

\dfrac{9}{28}\times 100 = 0.32\overline{142857}\times 100 = 32.\overline{142857} \approx 32.14\%

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A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus.
Alisiya [41]

Answer:

The value of x is 55 ⇒ 2nd answer

Step-by-step explanation:

* Lets revise the properties of the rhombus

- It has 4 equal sides

- Every two opposite sides are parallel

- Every two opposite angles are equal

- Every two adjacent angles are supplementary (their sum is 180°)

* Now lets solve the problem

- A square divided into two rectangles

- Each rectangle contains a shaded rhombus

- The shaded rhombus has two adjacent angles their measures are

 (2x + 20)° and 50°

∵ Every two adjacent angles in the rhombus are supplementary

∵ The sum of the supplementary angles = 180°

∴ The sum of the measures of the angles (2x + 20)° and 50° is 180°

- lets put the equation and solve it to find x

∴ (2x + 20)° + 50° = 180° ⇒ add the like terms

∴ 2x + 70° = 180° ⇒ subtract 70° from both sides

∴ 2x = 110° ⇒ divide both sides by 2

∴ x = 55°

* The value of x is 55

7 0
2 years ago
Read 2 more answers
Half angle tan 5pi/8
Bond [772]
The half-angle formula for tangent is:

tan(a/2) = (sin a / (1 + cos a)) = ((1 - cos a) / sin a)

Now we can plug in values:

tan(5π/8) = (sin(5π/4) / (1 + cos(5π/4)) = ((1 - cos(5π/4)) / sin(5π/4)

tan(5π/8) = (-√2/2) / (1 + (-√2/2)) = (1 - (-√2/2)) / (-√2/2)

tan(5π/8) = ((-√2/2)) / ((2 - √2)/2) = ((2 + √2)/2) / (-√2/2)

Now we can solve the first half:

(-√2/2)(2 / (2 - √2))
(-√2/2)((4 + 2√2) / 2)
(-√2/2)(2 + √2)
(-2√2 - 2)/2
-√2 - 1

tan(5pi/8) = -√2 - 1

4 0
2 years ago
A researcher is estimating the mean income of residents in a large city. The income variable is usually skewed to the right. She
Gnom [1K]

Answer: We are 95% confident that the mean income for all residents of this city is between $26700 and $35400.

Step-by-step explanation:

We know that a 95% confidence interval given an interval of values that we can be 95% sure , that it contains the true mean of the population, not 95% of data lies in it.

Given : A researcher is estimating the mean income of residents in a large city. The income variable is usually skewed to the right. She collects a random sample of 25 people.

The resulting 95% confidence interval is ($26700, $35400).

Then, valid conclusion will be :  We are 95% confident that the mean income for all residents of this city is between $26700 and $35400.

5 0
2 years ago
Can u solve this pls easy? A geologist takes samples of two rocks from a mountainside. The gray rock has a volume 25% higher tha
Korolek [52]

Answer:

Text me back for an answer.

Step-by-step explanation:

Make sure you text back.

5 0
2 years ago
A cube with a side 1 m long has been cut into cubes of a side 1 dm each. all small cubes have been put one on top of the other,
Ivenika [448]
First, we have to find how many small cubes formed by the large cube.
To find the number of small cubes, we should calculate the volume of each large cube and small cube. Equalize the volume units to dm³

Dimension of large cube
s = 1 m
s = 10 dm

Volume of large cube
v = s³
v = 10³
v = 1,000 dm³

Dimension of small cube
s = 1 dm

Volume of small cube
v = s³
v = 1³
v = 1 dm³

Second, calculate the number of small cubes formed
n = volume of large cube / volume of small cube
n = 1,000 dm³ / 1 dm³
n = 1,000
There are 1,000 small cubes.

Third, calculate the height of the structure.
The structure is formed by 1,000 cubes. Each of them is 1 dm high.
The height of the structure is
h = 1 dm × 1,000
h = 1,000 dm
h = 100 m
The height of the structure is 1,000 dm or 100 m
8 0
2 years ago
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