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swat32
2 years ago
10

12. Make a box-and-whisker plot of the data. (1 point)

Mathematics
1 answer:
Sophie [7]2 years ago
4 0

The box-and-whisker plot of the data, showing the five-number summary, is shown in the image atatched below.

<h3>What is the Box-and-whisker Plot?</h3>

The box-and-whisker plot is a plot that displays the minimum, maximum, median, lower and upper quartile of a data, which is termed as the five-number summary of a data.

Given the data, 20, 23, 28, 14, 13, 24, 18, 11, find the five-number summary:

  • Minimum - 11
  • Lower Quartile - 13.5
  • Median - 19
  • Upper Qaurtile - 23.5
  • Maximum - 28

Therefore, the box-and-whisker plot of the data, showing the five-number summary, is shown in the image atatched below.

Learn more about box-and-whisker ploton:

brainly.com/question/12343132

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A rectangular mural has dimensions of (x + 10) and (x + 3) feet. If the area of the mural is 60
Crank

Answer:

Dimensions are 12 , 5

Step-by-step explanation:

Area of rectangular mural = length * width

length * width = 60 square feet

(x + 10)(x + 3) = 60

Use FOIL method

x*x + x*3 + 10*x + 10*3 = 60

x² + <u>3x + 10x</u> + 30 = 60      {Combine like terms}

x² +<u> 13x</u> + 30 - 60 = 0

x² + 13x - 30 = 0

Sum = 13

Product = -30

Factors =  15 , -2     (15+ (-2) = 13 ; 15*(-2) = -30)

x² + 15x - 2x - 30 =0  {Rewrite middle terms}

x(x + 15) - 2(x + 15) = 0

(x + 15)(x - 2) =0

x - 2 = 0             {Ignore (x +15) as dimensions wont have a negative value}

x = 2

x + 10 = 2 + 10 = 12

x + 3 = 2 + 3 = 5

Dimensions are 12 , 5

3 0
2 years ago
Cynthia invests some money in a bank which pays
lidiya [134]

Answer:

£6911 is the smallest amount Cynthia should invest to get £8000 after three years

Step-by-step explanation:

lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year

Amount expected after three years when compounded annually =  A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911

Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years

6 0
3 years ago
What is the least common multiple of 8 and 10​
Vika [28.1K]

Answer:

Pretty sure it's 2 :)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which of these triangle pairs can be mapped to each other using a reflection and a translation? a Triangles L R K and A R Q are
AVprozaik [17]

The triangle pairs that can be mapped to each other using a reflection and a translation is; Option B

<h3>How to Interpret Triangle Transformations?</h3>

Let us analyze each of the graphs;

Option A; This graph didn't use a reflection and a translation because we see that there was first a reflection across side QR and then another reflection across side AR.

Option B; This graph is correct as it made use of a reflection and a translation as seen in the attached graph.

Option C; This didn't use of a reflection and a translation because it instead carried out translation both in vertical and horizontal direction.

Option D; This carried out Translation and Rotation.

Read more about Triangle Transformations at; brainly.com/question/26261650

#SPJ1

8 0
2 years ago
2.15+2.5+3.85+. 5, What is the answer plz
lukranit [14]
2.15 + 2.5 = 2.65
2.65 + 3.85 = 6.40
If it is 0.5
6.40 + 0.5 = 0.9
If you meant 0.05
6.40 + 0.05 = 6.45
If you meant 5 (as in the whole number)
6.40 + 5 = 11.40

hope this helps 
4 0
3 years ago
Read 2 more answers
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