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irina1246 [14]
3 years ago
13

A homeowner plans to hang wallpaper on one wall of a bedroom that is 15 feet long. If a strip of wallepe wallpaper is 20 INCHES

wide and strips are hung vertically, how many strips of wallpaper will the homeowner require?
Mathematics
1 answer:
sukhopar [10]3 years ago
3 0

Answer:

The homeowner will require 9 strips of wallpaper.

Step-by-step explanation:

The question is asking <em>"how many 20 inches fit into 15 feet?".</em>

We know that

1  foot  = 12 inches;

therefore, 15 feet will be

15 ft * 12 in/ft  = 180 in.

Now, the number of 20 inches wallpaper strips that will fit into 180 in long wall will be

180 in/ 20 in  = 9

Therefore, the homeowner will require 9 strips of wallpaper.

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Measures of variability are used to characterize how the data are _____ around the _____ of the distribution.
Gnesinka [82]

Answer: Measures of variability are used to characterize how the data are spread around the mean of the distribution.

Step-by-step explanation:The measures of average such as the median and mean represent the typical value for a dataset.However , In the dataset the actual values usually differ from one another and from the average value itself.

In this case the measure of spread, sometimes also called a measure of dispersion, is used to describe the variability in a sample or population around the mean .

5 0
3 years ago
the area of a rectangle is 96m^2 and the circumference is 39.2m. Determine the dimensions if the rectangle​
goldenfox [79]

Answer:

Dimension => 10 m × 9.6 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 96 m²

Circumference (C) = 39.2 m

Dimension =.?

Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:

Let L be the Lenght

Let B be the breadth

Area of a rectangle = L × B

96 = L × B ..... (1)

Circumference of rectangle = 2(L + B)

39.2 = 2(L + B) .... (2)

From equation 2, make L the subject

39.2 = 2(L + B)

Divide both side by 2

39.2 /2 = L + B

19.6 = L + B

Rearrange

L = 19.6 – B ....(3)

Substitute the value of L in equation 3 into equation 1

96 = L × B

L = 19.6 – B

96 = (19.6 – B ) × B

Clear bracket

96 = 19.6B – B²

Rearrange

B² – 19.6B + 96 = 0

Solving by factorisation

B² – 10B – 9.6B + 96 = 0

B(B – 10) – 9.6(B – 10) = 0

(B – 9.6)(B – 10) = 0

B – 9.6 = 0 or B – 10 = 0

B = 9.6 or B = 10

Substitute the value of B into equation 3:

L = 19.6 – B

B = 9.6

L = 19.6 – 9.6

L = 10

Or

L = 19.6 – B

B = 10

L = 19.6 – 10

L = 9.6

Since the length is always longer than the breadth,

Length (L) = 10 m

Breadth (B) = 9.6 m

Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:

Length (L) = 10 m

Breadth (B) = 9.6 m

Dimension =?

Dimension = L × B

Dimension = 10 m × 9.6 m

5 0
3 years ago
A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the followi
Vinil7 [7]

Answer:

Step-by-step explanation:

Given that a  box contains one yellow, two red, and three green balls.

Two balls are randomly chosen without replacement.

A) one ball is yellow:

This means one is yellow and other can be any other colour

i.e. drawing one yellow and one from 5 remaining.

This can be as (y,r) (y,g) (r,y) or (g,y)

where y for yellow, r for red and g for green.

B) { At least one ball is red }

This means the two balls should not be different from red.

The favorable outcomes are  two red, (one red, one yellow) (one green, one red). But should not be (green,yellow)

C) :{ Both balls are green }

Here the balls drawn should be only green, green and not any other combination.

D) { Both balls are of the same col

Since yellow is one, there cannot be two yellows

Hence only possibilities are (red, red) or (green, green)

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A swing forward 50 degree and back 95 degree. How many degree forward must the swing go to return in starting position
-Dominant- [34]

Answer:

45°.........................

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3 years ago
What is the solution for <br> -2(x-5)=4
tiny-mole [99]
The answer to your question is x=3
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3 years ago
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