Select the statement that correctly explains how to use the benchmark fraction one half to compare the fractions three eighths and six tenths.


three eighths is greater than six tenths because three eighths is greater than one half and six tenths is less than one half.

three eighths is equal to six tenths because three eighths is equal to one half and six tenths is equal to one half.

six tenths is less than three eighths because six tenths is less than one half and three eighths is greater than one half.

six tenths is greater than three eighths because six tenths is greater than one half and three eighths is less than one half.

(1) The mean absolute deviation for the given data set is 18.

The mean absolute deviation (MAD) is a way of measuring of data variability that is defined as the average of each data point's absolute deviation from the mean. To calculate the MAD, first compute the mean of the data set, then subtract each data point from the mean and calculate the absolute value of the result.

Here is the step-by-step process for finding the MAD for the given data set:

Find the mean of the data set: (108 + 53 + 47 + 22 + 56 + 62) / 6 = 56

Subtract the mean from each data point:

108 - 56 = 52

53 - 56 = -3

47 - 56 = -9

22 - 56 = -34

56 - 56 = 0

62 - 56 = 6

Take the absolute value of each result:

|52| = 52

|-3| = 3

|-9| = 9

|-34| = 34

|0| = 0

|6| = 6

Find the average of the absolute deviations: (52 + 3 + 9 + 34 + 0 + 6) / 6 = 18

So, the mean absolute deviation for the given data set is 18.

(2) The mean absolute deviation for the given data set is 2.7

Find the mean of the data set: ( 12.2 + 6.8 + 3.4 + 8.8 ) /4 = 7.8

Subtract the mean from each data point:

12.2 - 7.8 = 5.4

6.8 - 7.8 = - 1

3.4 - 7.8 =  - 4.4

8.8 - 7.8 = 1

Take the absolute value of each result:

|4.4| = 5.4

|-1| = 1

|-4.4| = 4.4

|1| = 1

Find the average of the absolute deviations: (5.4+ 1 + 4.4 + 1) / 4 = 2.95

So, the mean absolute deviation for the given data set is 2.95.

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Answer:

3.47

Step-by-step explanation:

I believe its 3.47 because I'm dividing 8.4 ÷ 2.42 and got 3.471074380165289 and rounded it to the nearest cent which gave me 3.47.

Answer: 1/3 chapters

Step-by-step explanation:

3 chapters / 9 hours = 1/3

Answer:

Proportionality= Yes

Equation: y = 4x

Step-by-step explanation:

We can start by dividing the Y's by the X value across from it.

16/4

8/2

-8/-2

-16/-4

When we do this, every answer is the same. It ends up as 4. That means it is proportional in terms of

y = 4x and that's because the x value times 4 equals the y value

Answer:

9:14

Step-by-step explanation:

If the ratio of girls to students is 5:14, that means there are 9 boys for every 5 girls. Therefore, the ratio of boys to students is 9:14.

Answer:

9

Step-by-step explanation:

Girls = 5 out of 14

So, ratio of girls to total strength is 5:14

Boys = 14-5 = 9 boys

So, ratio of boys to total strength is 9:14

Ratio of boys is 9

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Answer:

x ≤ 26 only have 9 more players

Step-by-step explanation:

26 is the most amount of players you can have, hence less than or equal to. If you have 17 people, you can only have about 9 more players.

Answer:

x ≤ 26 only have 9 more players

Step-by-step explanation:

26 is the most amount of players you can have, hence less than or equal to. If you have 17 people, you can only have about 9 more players.

(1) Total No of families = 1500

Total No of families with 2 girls = 475

Probability of family being chosen at random having 2 girls = 475/1500 = P1 = 19/60

(2) Total No of families = 1500

Total No of families with 1 girl = 814

Probability of family being chosen at random having 1 girl = 814/1500 = P2 = 407/750

(3) Total No of families = 1500

Total No of families with no girl = 211

Probability of family being chosen at random having no girls = P3 = 211/1500

(4) P1 + P2 +P3

=19/60 + 407/750 + 211/1500

= 475 + 814 + 211/1500

=1500/1500

=1

Yes, the sum of there Probabilities does add up to 1

Answer:

The required height of the lighthouse is given as 160 ft tall.

Given that,

A scale model of a lighthouse has a scale of 1 in. : 8 ft. The scale model is 20 inches tall.

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

here,

scale factor = 1 / 8 in per ft

Now,

The actual length of the lighthouse =  20 / [1 / 8]

                                                            = 20 × 8 = 160 ft

Thus, the required height of the lighthouse is given as 160 ft tall.

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Step-by-step explanation:

I'm pretty sure it's:

one way to think through a budget is the 50/30 / 20  rule

Divide your income into 3 categories, spending 50% on needs, 30% on wants and 20% on savings

Answer:

3/4 cup

Step-by-step explanation:

you have 1 1/4 cup for 20 cookies

if you divide them you will get 0.0625

0.0625 x 16 = 0.75

0.75 = 3/4

Answer:

3/4 cup of sugar

Answer:

44% Option A

Step-by-step explanation:

Percent of people choosing bumper cars =

                                              [tex]\frac{NumberOfPeopleWhoChooseBumperCars}{TotalNumberOfPeople}[/tex] × 100%

                                            = [tex]\frac{22}{50}[/tex] × 100%
                                    Enter in calculator
                                            = 44%

Answer:

EVALUATE

m+f

3

Tick mark Image

DIFFERENTIATE W.R.T. M

1

Step-by-step explanation:

Answer:

it is important that the LGBTQ+ community should be treated with respect and equality. Everyone deserves to live their lives freely and without fear of discrimination or prejudice.

Step-by-step explanation:

Since [tex]4^2 + 4^2 = (4\sqrt{2})^2[/tex], the angle formed by the sides is a right angle. Therefore, the garden is not a square.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

For this problem, we have that:

Applying the Pythagorean Theroem, the equality [tex]4^2 + 4^2 = (4\sqrt{2})^2[/tex] hold true, meaning that the triangle is in fact a right triangle.

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Answer: Can't see the questions clearly, also  3/4 x 1/3 is 1/4

Step-by-step explanation:

Answer:

angle FDE = 44 degrees

angle DEF = 66 degrees

angle FHG = 44 degrees

angle CDE = 63 degrees

angle BCE = 105 degrees

Step-by-step explanation:

first image

2x + 3x = 110

5x = 110

x = 22

angle FDE = 2x = 2(22) = 44

angle DEF = 3x = 3(22) = 66

angle FHG = 2x = y = 44

second image

2x - 21 + 42 = 3x - 21

42 = x

angle BCE = 3x - 21 = 3(42) - 21 = 105

angle CDE = 3y = 2x - 21 = 2(42) - 21 = 63

Answer:

Step-by-step explanation:

In the picture

Answer: 33cm

Step-by-step explanation:

To find the perimeter of the door on the scale drawing, we first need to determine the dimensions of the door on the scale drawing.

The scale given is 3:5, which means that every 3 centimeters in real life corresponds to 5 centimeters on the scale drawing.

To find the height of the door on the scale drawing, we multiply the real-life height of 7 centimeters by the scale factor:

7 cm * (5 cm/3 cm) = 35/3 cm ≈ 11.67 cm

To find the width of the door on the scale drawing, we multiply the real-life width of 3 centimeters by the scale factor:

3 cm * (5 cm/3 cm) = 5 cm

Now that we have the dimensions of the door on the scale drawing (height: 11.67 cm and width: 5 cm), we can calculate the perimeter.

The perimeter of a rectangle is found by adding up all the sides. In this case, we have two sides of length 11.67 cm (height) and two sides of length 5 cm (width).

Perimeter = 2 * (11.67 cm) + 2 * (5 cm) = 23.34 cm + 10 cm = 33.34 cm

Therefore, the perimeter of the door on the scale drawing is approximately 33.34 cm.

Since the answer choices are given in whole numbers, the closest option to the calculated perimeter is 33 cm.

Answer:

Since you must read 52 page per hour, and there is 2 hours to complete assignment, then you will do this:

52 + 52 = 104

You would be able to read 104 pages in 2 hours, which is less than 130, so you would NOT be able to complete the assignment.

Step-by-step explanation:

Hope it helps! =D

Answer:

not sure if it's right but i think its 40

Step-by-step explanation:

I think you multiply all of them but not really sure hope this helps

Answer:

Step-by-step explanation:

7/9

Taub can drink 7/9 glasses in 1/10 of an hr, you want to know how much she can drink in 1 hr

multiply 7/9 by 10 = 70/9

the number line will be:

7/9 14/9 21/9 28/9 35/9 42/9 49/9 56/9 63/9 70/9

1/10 2/10 3/10 4/10 5/10 6/10   7/10   8/10   9/10   10/10

Step-by-step explanation:

We can set up a ratio

[tex] \frac{7}{9} = \frac{x}{12} [/tex]

Next we cross multiply

[tex]9x = 84[/tex]

[tex]x = 9 \frac{1}{3} [/tex]

So he drinks 9 1/3 ounces of water in 1/10. To go from 1/10 to 10/10, you multiply by 10. So we will do that to the ounces.

[tex]9 \frac{1}{3} \times 10 = 93 \frac{1}{3} [/tex]

Lastly we divide by 12

[tex]93 \frac{1}{3} \div 12 = 7 \frac{7}{9} [/tex]

I'm not sure how you are suppose to answer it, but here are the options

[tex]7 \frac{7}{9} = mixed[/tex]

[tex] \frac{70}{9} = fraction[/tex]

[tex]7.77 = whole \: number[/tex]

Answer:

$7.20

Step-by-step explanation:

3.00÷5=0.60

60 cents per roll

now we multiple that by 12.00

12x6

72

now add the decimal

$7.20

Answer: x = 10

Step-by-step explanation:

Let's say that the unknown is x.

{2/5 = ?/25}

Step 1. 2/5 = x/25

Step 2. Multiply by 25 on both sides. 2/(5 * 25) = x/(25 * 25)

Step 3. 2 * 5 = x

Step 4. 10 = x

Step 5. Let's check the answer x; 2/5 = 10/25

Step 6. Simplify; 2/5 = (10/5) / (25/5)

Step 7. Check; 2/5 = 2/5

This answer is true

Answer:

let,x be mean

2\5=x\25

5x=50

x=50\5

x=10

The answer is $6.75

The regular price of a pair of pants is $25

The sale price of a pair of pants is 65% from $25

How much we can save money if we buy the pants on sale?

first, we have to calculate how much the pants price at the time of sale

65/100 x $25 = $16.25

The sale price of a pair of pants is $16.25

the next step is to subtract the regular price and the sale price of a pair of pants

$25 - $18.25 = $8.75

In conclusion, we can save $8.75 if we buy the pants on sale

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Answer:

Step-by-step explanation:

2/10

0.2

Answer:

22

Step-by-step explanation:

"twelve more" means 12 plus something

"product of 5 and a number" means 5x

12+5x

12+5(2)

12+10

22

Hi there, here's your answer:
Mr. Watson spent $499.50.

Each microscope costs $99.90

Therefore, number of microscopes bought by Mr. Watson [tex]\frac{499.50}{99.90}[/tex] = 5 microscopes.

Hope it helps!

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Answer: $375.3

Step-by-step explanation:

If a gram of gold is worth 50.04, then 7.5 grams of gold is worth

50.04x7.5=375.3

Answer:

370.3

Step-by-step explanation:

Because 7.5 time 50.04 is 375.3