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Anna35 [415]
3 years ago
13

You and a friend weigh your loaded backpack every day for a week. The results are shown in the table. Find the mean, median, mod

e, and range of the weights of your backpack and your friend's backpack. Use your results to compare the backpack weights?​

Mathematics
1 answer:
lianna [129]3 years ago
6 0

Yours:

<u>Mean</u>:

13.5+12.2+13.2+11.6+10.5=61.

61/5 is <em>12.2</em>

<em>The mean is 12.2</em>

<u>Median</u>:

<em>13.2</em>

<u>Mode</u>:

<em>There is no mode.</em>

<u>Range</u>:

10.5 to 13.5

<em>The range is 3.</em>

Friend:

<u>Mean</u>:

12.6+13+12.8+11.6+12.5=62.5

62.5/5 is <em>12.5</em>

<em>The mean is 12.5</em>

<em />

<u>Median</u>:

<em>12.8</em>

<u>Mode</u>:

<em>There is no mode</em>

<em />

Range:

11.6 to 13

<em>The range is 1.4</em>

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36 x 2 = 9 x blank x​
Angelina_Jolie [31]

Answer:

x = 8

Step-by-step explanation:

36 × 2 = 9 × x

72 = 9x

9x = 72

9x ÷ 9 = 72 ÷ 9

x = 8

3 0
2 years ago
Find the output, h, when the input, x, is -18.<br> h = 17+<br> =<br> I<br> 6
Sloan [31]

The value of output, h, when the input, x, is -18 for the given equation is 14

<h3>Solving an equation </h3>

From the given question, we are to determine the value of the output, h, when the input x is -18

The given equation written properly is

h = 17 + x/6

Now, to determine the value of output, h, we will put in the value of x into the equation

h= 17 + x/6

The given value of x is -18

Thus, putting the given value of x into the equation, we get

h= 17 + x/6

h= 17 + -18/6

h = 17 + -3

h = 17 - 3

NOTE: + × - = -

h = 14

∴ h is 14 when x is -18

Hence, the value of output, h, when the input, x, is -18 for the given equation is 14

Learn more on Solving an equation here: brainly.com/question/20725347

#SPJ1

5 0
2 years ago
The gardeners at Middleton Place Gardens want to plant a total of 45 white and pink hydrangeas in one flower bed. In another flo
mr Goodwill [35]

The gardeners should buy 48 white and 116 pink hydrangeas altogether

Step-by-step explanation:

The given is:

  • The gardeners at Middleton Place Gardens want to plant a total of 45 white and pink hydrangeas in one flower bed
  • In another flower bed, they want to plant 119 hydrangeas, in this bed, they want 2 times the number of white hydrangeas and 3 times the number of pink hydrangeas as in the first bed

We need to find how many white and how many pink hydrangeas the gardeners should buy altogether

Assume that the number of white hydrangeas is x and the number of pink hydrangeas in the first bed

∵ The first bed has x white hydrangeas

∵ The first bed has y pink hydrangeas

∵ The total of white and pink hydrangeas in 1st bed is 45

- Equate the sum of x and y by 45

∴ x + y = 45 ⇒ (1)

∵ In the 2nd bed the number of the white hydrangeas is 2 times

   as in the 1st bed

∵ The number of the pink hydrangeas is 3 times as in the 1st bed

∵ The number of the hydrangeas in the 2nd bed is 119

- Multiply x by 2 and y by 3, then add the products and equate

  the sum by 119

∴ 2x + 3y = 119 ⇒ (2)

Now let us solve the system of equations

Multiply equation (1) by -3 to eliminate y

∵ -3x - 3y = -135 ⇒ (3)

- Add equations (2) and (3)

∴ -x = -16

- Divide both sides by -1

∴ x = 16

- Substitute the value of x in equation (1) to find y

∵ 16 + y = 45

- Subtract 16 from both sides

∴ y = 29

∵ The number of the white hydrangeas in the 1st bed is x

∵ The number of the white hydrangeas in the 2nd bed is 2x

∴ The total number of the white hydrangeas = x + 2x = 3x

∵ x = 16

∴ The total number of the white hydrangeas = 3(16) = 48

∵ The number of the pink hydrangeas in the 1st bed is y

∵ The number of the pink hydrangeas in the 2nd bed is 3y

∴ The total number of the pink hydrangeas = y + 3y = 4y

∵ y = 29

∴ The total number of the pink hydrangeas = 4(29) = 116

The gardeners should buy 48 white and 116 pink hydrangeas altogether

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

8 0
3 years ago
Ashik claims that the graph on the right is the correct interpretation of the scatterplot, but his friend Shelby claims that the
Gnoma [55]

Answer:

It’s B

Step-by-step explanation:

4 0
2 years ago
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If I have 500 and have a 6% annual interest how long will it take to get 2000
Ilia_Sergeevich [38]

Answer:

23.8 years

Step-by-step explanation:

Assuming this is compound interest, we'll use the compound interest formula

A = P(1 + r)ⁿ

A = Final amount (2000)

P = Initial amount (500)

r = Annual interest rate (.06)

n = ?

Our equation will look like this

2000 = 500(1.06)ⁿ

First, divide both sides by 500

2000/500 = (500(1.06)ⁿ)/500

(1.06)ⁿ = 4

Then we have to take the log₁.₀₆ out of both sides

n = log₁.₀₆(4)

n = 23.79132

4 0
3 years ago
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