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blagie [28]
3 years ago
15

By ordering the data find the Lower Quartile 5, 7, 4, 3, 2, 6, 8, 9, 10, 15 *

Mathematics
1 answer:
Klio2033 [76]3 years ago
8 0

Answer:

.Lower quartile = 3.5

Step-by-step explanation:

Rearranging the data from lowest to highest.

2, 3, 4, 5, 6, 7, 8, 9 , 10, 15

First finding the median to make it easier to find the lower quartile.

median : 6 and 7 but right now they're irrelevant so we don't honestly need to work that out.

The lower quartile would be 3 and 4

3+4= 7 divide by 2 = 3.5 is your lower quartile

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Challenge Yael used to have a square garage with 370 ft ^2of floor space. She recently built an
Yuki888 [10]

Scale factor of area is the square of the scale factor of length

The required values are;

  • The length of one sides of the garage was originally approximately <u>19.2 ft.</u>
  • The length of one of the sides of the garage is now approximately <u>23.6 feet</u> long
  • The percentage increase in length is approximately <u>22.5 %</u>

Reason:

The given parameters are;

The area of the square garage = 370 ft.²

The area of the new garage has 50% more space

Required;

Part A

The initial side length

The initial side length, given to the nearest tenth, <em>s</em>, is the square root of the area, <em>A</em>, given as follows;

  • s = √(370 ft.²) ≈ 19.2 ft.

Part B

The side was increased by 50%, to give,

370 + 0.5×370 = 555

The new area of the garage = 555 ft.²

The side length of the new garage, s = √(555) ≈ 23.6

  • The side of the garage now is 23.6 ft.

Part C

The percentage increase is given as follows;

The \ percentage \  increase \ in \ length = \dfrac{New \ length - Initial \ length}{Initial \ length }

The \ percentage \  increase \ in \ length = \dfrac{\sqrt{555}  - \sqrt{370} }{\sqrt{370}  } \times  100 \approx 22.5 \%

  • The percentage increase in length of the side of the garage is approximately 22.5 %

Learn more here:

brainly.com/question/7639412

3 0
3 years ago
25 is what percent of 20?
denis-greek [22]

Answer:

20 is 80% of 25

Step-by-step explanation:

We assume, that the number 25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 25, so we can write it down as 100%=25.

4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.

5. Now we have two simple equations:

1) 100%=25

2) x%=20

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=25/20

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 25

100%/x%=25/20

(100/x)*x=(25/20)*x       - we multiply both sides of the equation by x

100=1.25*x       - we divide both sides of the equation by (1.25) to get x

100/1.25=x

80=x

x=80

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3 years ago
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