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Gennadij [26K]
3 years ago
5

I need this ASAP!  Betty needs a specific shade of coral paint that is made using a 5:3 ratio of red to lime green paint. The li

me green paint is made from 2/3 yellow paint and 1/3 blue paint. Betty wants 4 qt of the coral paint. How much red, yellow, and blue paint will she need to make this paint, and what percent of the final mix is each color? Solve this problem in two ways.
Mathematics
1 answer:
Verizon [17]3 years ago
3 0
Red:green

5:3
5+3=8
8 units
4qt=8 units
divide by 8
0.5qt=1unit
5 unit=red
5*0.5=2.5qt, red=2.5qt
3unit=lime
0.5*3=1.5qt
1.5qt, 2/3 of that is yellow, 1/3 is blue, 1.5 times 2/3=1, 1.5 times 1/3=0.5
result:
2.5qt red
1qt yellow
0.5qt blue



way 2

5+3=8
3/8(of all)=lime
2/3 of lime=yellow
1/3 of lime=blue

'of' means multiply
yellow: 3/8 times 2/3=6/24=1/4
blue: 3/8 times 1/3=3/24=1/8
all=4qt
4 times 1/4=1qt=yellow
4 times 1/8=0.5qt=blue
red=5/8 of all=4 times 5/8=20/8=2.5qt

red: 2.5qt
yellow: 1qt
blue: 0.5qt
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A cell phone company is considering using a new manufacturer to produce batteries for their phones. The company distributes a ra
Anna11 [10]

Answer:

1. The range = 17

2. The mean = 29.053846153846

3. The median = 29.5

4.i) Q1 = 28

ii) Q3 = 32

5. The IQR = 4

6. The variance = 19.7626923

7. The standard deviation = 4.445524975

8. Identify any outliers = 17.5

Step-by-step explanation:

We are given this random samples of data

{32.3, 28.8, 29.1, 29.5, 30.8, 31.0, 17.5, 34.5, 23.5, 33.0, 31.7, 28.6, 27.4}

First step before solving any of the question is we rearrange the numbers from lowest to highest

17.5, 23.5, 27.4, 28.6, 28.8, 29.1, 29.5, 30.8, 31.0, 31.7, 32.3, 33.0, 34.5

1. The range

This is the difference between the Maximum value and the Minimum value in a given data set.

Maximum value = 34.5

Minimum value = 17.5

Range = 34.5 - 17.5

= 17

2. The mean

Mean = Sum of terms/Number of terms

= 17.5 + 23.5 + 27.4 + 28.6 + 28.8 + 29.1 +29.5 + 30.8 + 31.0 +31.7 +32.3 +33.0 +34.5/13

= 377.7/13

= 29.053846153846

3. The median

The formula for Median = 1/2(n + 1)th value

n = 13

= 1/2(13 + 1)th value

= 1/2(14)th value

= 7th value.

The 7th value for the data set = 29.5

4.i) Q1 means the First Quartile

The formula for First Quartile

= 1/4(n + 1)th value

= 1/4(13 + 1)th value

= 14/4 th value

= 3.5 th value

This means, the first quartile is between the 3rd and 4th value

3rd value = 27.4

4th value = 28.6

Q1 = 27.4 +28.6/2

= 56/2

= 28

ii) Q3

The Formula for Third Quartile

= 3/4(n + 1)th value

= 3/4(13 + 1)th value

= 42/4 th value

= 10.5th value

This means, the first quartile is between the 10th and 11th value

10th value = 31.7

11th value = 32.3

Q1 = 31.7 +32.3/2

= 64/2

= 32

5. The IQR

IQR = Interquartile range. It is the difference between Q3 and Q1

= 32 - 28

= 4

6. The sample variance

The formula = (x -mean)²/n - 1

= [(17.5 -29.053846153846)² + (23.5 -29.053846153846)² + (27.4 -29.053846153846)² + (28.6 -29.053846153846)² + (28.8 -29.053846153846)² + (29.1 -29.053846153846)² + (29.5 -29.053846153846)² +(30.8 -29.053846153846)² + (31.0 -29.053846153846)² + (31.7 -29.053846153846)² +(32.3 -29.053846153846)² +(33.0 -29.053846153846)² +(34.5 -29.053846153846)² ] /13 - 1

= [133.4913609+ 30.8452071 +2.735207101 +0.2059763313 + 0.0644378698 + 0.002130177514 + 0.1990532545 + 3.049053254 + 3.787514792 + 7.002130177 + 10.53751479 + 15.57213018 +29.66059171] /12

= 237.1523076/12

= 19.7626923

7. The standard deviation =

= √Variance

= √ 19.7626923

= 4.445524975

8. Identify any outliers

Outliers are number in a data set that varies different from the other data. It can be a extremely large or extremely small.

The outliers in the data set = 17.5

4 0
3 years ago
How do you do this question?
Bess [88]

Answer:

see attached

Step-by-step explanation:

My choices are shown with green check marks.

___

An odd-degree polynomial cannot have a global maximum.

You can write a polynomial in intercept form with complex values:

 (x-i)(x+i) = 0

An even degree polynomial does not necessarily have any real roots:

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4 0
4 years ago
What is 62/120 expressed as a percent rounded to the nearest whole number?
Afina-wow [57]

Answer:

52%

Step-by-step explanation:

62/120 * 100%

Divide by 2 on top and bottom

31/60 * 100 %

.5166666666 * 100 %

51.66666666 %

To the nearest whole number

Rounding the 1, we look at the 6   6>=5 so we round the 1 to 2

52%

6 0
3 years ago
The box plot show the price of textbooks at a local high school. What range describe the middle 50% if the price (p) of the text
Grace [21]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the box plot is not attached.

However, the interpretation of the question is to determine the inter-quartile range (IQR) ; this represents the middle 50% of scores

To answer this question, I will make use of the attached box plot.

IQR is calculated as:

IQR = Q_3 - Q_1

Q_1 and Q_3 are represented by the vertical edges of the rectangle in the box plot. [See attachment]

Reading Q_1 and Q_3, we have:

Q_1 = 37

Q_3 = 50

The IQR is:

IQR = 50 - 37

IQR = 13

<em>Hence, the range that describes the middle 50% of the attached plot is 13</em>

3 0
3 years ago
The area of Megan’s rectangular bedroom i
Alex73 [517]
No she won't. the room is 13 ft. wide and 14 ft. long (13×14=182). Megan only has 48 ft. of wallpaper border, and the perimeter of the room is 54 ft.
6 0
3 years ago
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