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miss Akunina [59]
2 years ago
11

Sarah wanted to buy a TV. She had $390 in her pocket. The TV she wanted was $415; however she had a 10% off coupon. The sales ta

x is 6%. Does she have enough money to purchase the TV?

Mathematics
2 answers:
denis23 [38]2 years ago
7 0

Answer: Sarah does not have enough money to purchase the TV.

Explanation: The total price is $395.91.

Aleks04 [339]2 years ago
6 0

Answer:

No

Step-by-step explanation:

10% of 415

= 1/10 of 415

= 1/10 * 415

= $41.5

415 - 41.5 = $ 373.5

6% of 415

= 6% * 415

= $24.9

∴ $373.5 + $24.9 = $398.4

∴ Sarah cannot buy the TV as she is $ 8.4 short.

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Find the value of x and y in the following figure where ABCD is a parallelogram<br><br>​
asambeis [7]

Answer:

x = 3

y = 2

Step-by-step explanation:

Diagonals of a parallelogram bisect each other into two equal segments. Therefore:

3x - 1 = 2(x + 1)

Solve for x

3x - 1 = 2x + 2

Collect like terms

3x - 2x = 1 + 2

x = 3

Also:

5y + 1 = 6y - 1

Collect like terms

5y - 6y = -1 - 1

-y = -2

Divide both sides by -1

y = -2/-1

y = 2

5 0
3 years ago
Bought a new car lately? The following table presents the number of vehicles sold in a certain country by several manufacturers
ella [17]

Answer:

The Relative Frequency Table is:

<u>  Manufacturer         Relative Frequency  </u>

General Motors                  0.242

      Ford                              0.208

Chrysler LLC                       0.148  

     Toyota                           0.177

     Honda                            0.116

     Nissan                            0.109

Step-by-step explanation:

To find out the relative frequency we need to use the formula:

Relative Frequency = Frequency / Sum of All Frequencies

We can find the sum of all the frequencies by adding all the sales for the year 2013.

Sum of Frequencies for 2013 = 225,650 + 194,068 + 138,085 + 164,423 + 107,526 + 101,113

Sum of Frequencies for 2013 = 930865 cars

Now we can compute the relative frequencies for each of the manufacturers as follows:

General Motors: 225650/930865 = 0.242

Ford: 194068/930865 = 0.208

Chrysler LLC: 138085/930865 = 0.148

Toyota: 164423/930865 = 0.177

Honda: 107526/930865 = 0.116

Nissan: 101113/930865 = 0.109

Relative Frequency Distribution Table for the 2013 sales:

Manufacturer         Relative Frequency

General Motors                  0.242

      Ford                              0.208

Chrysler LLC                       0.148  

     Toyota                           0.177

     Honda                            0.116

     Nissan                            0.109

3 0
3 years ago
A diver was 5.5 feet below sea level. The diver descended an additional 1.5 feet. What is the location of the diver compared to
Svetach [21]
Simply add 5.5 feet to 1.5 feet. The answer is 7 feet below sea level.
3 0
2 years ago
Read 2 more answers
Which decimals in the list are repeating decimals?
Llana [10]

Answer:

1/3, 4/15, 5/6, and 1/34.

Step-by-step explanation:

If you divide it and it keeps going when you divide it, it is a repeating decimal.

1/3=.333 repeating.

1/3, 4/15, 5/6, and 1/34 are the answers.

6 0
3 years ago
Describe Bob’s data in terms of center, spread, and shape.
ra1l [238]

Step-by-step explanation:

Bob's points per game are

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

<u>Calculating Median:</u>

As the median is the middle number in a sorted list of numbers when there is an odd number of terms.

As the the total number of terms = 37

Therefore, the median is the center term which is 10.

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

<u>Calculating Range:</u>

As the given data

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

The range is the difference between the highest and lowest values in the data set.

The lowest value is 5

The highest value is 15

The range = 15 - 5 = 10

<u>Calculating the interquartile range (IQR)</u>

The interquartile range is the difference between the third and first quartiles.

  • The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers.

So, the bottom half is

5   7   7   7   8   8   8   8   8   9   9   9   9   9   10   10   10   10  

The median of these numbers is 8.5

  • The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers.

So, the upper half is

10   11   11   11   11   11   12   12   12   12   13   13   13   14   14   14   15   15  

The median of these numbers is 12

As

The third quartile is 12

The first quartile is 8.5

Therefore,

The interquartile range = 12 - 8.5 = 3.5

<u>Finding Mode</u>

As the given data

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

The mode of a set of data is the value in the set that occurs most often.

So, It is bimodal.

Therefore, the mode is 10.

<u>Finding Mean</u>

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

Mean=Sum\:of\:terms\:\div Number\:of\:terms

Sum\:of\:terms\:=\:385

Number\:of\:terms\:=\:37

Mean\:=\:\frac{385}{37}=10.4

<u>Determining whether the data is symmetrical or non-symmetrical</u>

The data is non-symmetric, they do not have about the same shape on either side of the middle. In other words, if you fold the histogram in half, it does not look about the same on both sides. Please check the histogram attached below.

<u>Calculating Mean Absolute Deviation</u>

The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean.

As the given data

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

Population size = 37

Mean=10.4

Mean Absolute Deviation (MAD): 2.0

Keywords: mode, median, mean, non-symmetrical data, range, Interquartile Range (IQR)

Learn more about mode, median and mean from brainly.com/question/13221365

#learnwithBrainly

3 0
3 years ago
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