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ICE Princess25 [194]
3 years ago
11

Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Wr

ite an equation and solve it to determine the value of the highest priced camera Eddie can purchase with his $45, including the sales tax. Round your answer to the nearest penny.
x − 0.07x = 45; $48.39
0.7x = 45; x = $64.29
7x = 45; x = $6.43
x + 0.07x = 45; x = $42.06
Mathematics
1 answer:
NARA [144]3 years ago
3 0


 tax gets added to the price of the camera

 so the equation is:

x + 0.07x = 45; x = $42.06

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Type the correct answer in each box. Use numerals instead of words. Any non-integer answers in this problem should be entered as
ladessa [460]

Answer:

The interquartile range of the data set is 5

The mean absolute deviation of the data set is 3.6

Step-by-step explanation:

* Lets explain how to find the interquartile range and the mean absolute

  deviation (MAD)

- The steps to find the interquartile range is:

1- Arrange the values from the smallest to the largest

∴ The values are 5 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 18 , 20

2- Find the median

- The median is the middle value after arrange them

* If there are two values in the middle take their average

∵ The values are 10 then the 5th and the 6th are the values

∵ The 5th is 12 and the 6th is 13

∴ The median = \frac{12+13}{2}=12.5

∴ The median is 12.5

3- Calculate the median of the lower quartile

- The lower quartile is the median of the first half data values

∵ There are 10 values

∴ The first half is the first five values

∴ The first half values are 5 , 6 , 10 , 11 , 12

∵ The middle value is 10

∴ The median of lower quartile = 10

- Similar find the median of the upper quartile

- The upper quartile is the median of the second half data values

∵ There are 10 numbers

∴ The second half is the last five values

∴ The second half values are 13 , 14 , 15 , 18 , 20

∵ The middle value is 15

∴ The median of upper quartile = 15

4- The interquartile range (IQR) is the difference between the upper

    and the lower medians

∴ The interquartile range = 15 - 10 = 5

* The interquartile range of the data set is 5

* Lets talk about the mean absolute deviation

- Mean absolute deviation (MAD) of a data set is the average distance  

 between each data value and the mean

- To find the mean absolute deviation of the data, start by finding

   the mean of the data set.  

1- Find the sum of the data values, and divide the sum by the  

   number of data values.  

∵ The data set is 5 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 18 , 20

∵ Its sum = 5 + 6 + 10 + 11 + 12 + 13 + 14 + 15 + 18 + 20 = 124

∵ The mean = the sum of the data values/the number of the data

∵ The set has 10 numbers

∴ The mean = 124/10 = 12.4

2- Find the absolute value of the difference between each data value  

   and the mean ⇒ |data value – mean|

# I5 - 12.4I = 7.4

# I6 - 12.4I = 6.4

# I10 - 12.4I = 2.4

# I11 - 12.4I = 1.4

# I12 - 12.4I = 0.4

# I13 - 12.4I = 0.6

# I14 - 12.4I = 1.6

# I15 - 12.4I = 2.6

# I18 - 12.4I = 5.6

# I20 - 12.4I = 7.6

3- Find the sum of the absolute values of the differences.

∵ Their sum = 7.4 + 6.4 + 2.4 + 1.4 + 0.4 + 0.6 + 1.6 + 2.6 + 5.6 + 7.6

∴ Their sum = 36

4- Divide the sum of the absolute values of the differences by the

    number of data values  to find MAD

∴ MAD = The sum of the absolute values/number of the values

∵ The sum = 36

∵ The data set has 10 values

∴ MAD = 36/10 = 3.6

* The mean absolute deviation of the data set is 3.6

6 0
3 years ago
An irrational number is one that simply can not be worked into any equation.
Fudgin [204]

Answer:

it can be use in equation

An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic.

5 0
2 years ago
Y=-2<br><img src="https://tex.z-dn.net/?f=y%20%3D%20%20-%202%20%5C%5C%204x%20-%203y%20%3D%2018" id="TexFormula1" title="y = - 2
Morgarella [4.7K]
I think is
4x - 3 (-2) = 18
4x + 6 = 18
4x = 12
x = 3
5 0
3 years ago
My am never friends have 3/4 and one nickel to spend if Maia and her friends share the money equally how much for each person ge
EleoNora [17]

Answer:

Each person get = 20 cents

Step-by-step explanation:

Given - Maya and three friends have three quarters and one nickel to spend.

To find - If Maya and her friends share the money equally how much will each person get ?

Proof -

We know that

1 nickel = 5 cents

1 quarter = 25 cents

As they spent, 3 quarters and one nickel

So,

Total money spent = 3(25) + 5 = 75 + 5 = 80 cents

⇒Total money spent = 80 cents

Now,

Total people = 4 (Maya and three friends )

Now,

Given that, They share the money equally

So,

Each person get = \frac{80}{4} = 20 cents

5 0
3 years ago
Solve the system by substitution. y = 8x + 32 Y= -8x​
leonid [27]
The answer is (x,y) = (-2, 16)

do you need an explanation as well?
6 0
2 years ago
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