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g100num [7]
3 years ago
11

A dealer has a lot that can hold 30 vehicles. In this lot, there are two available models, A and B. The dealer normally sells at

least twice as many model A cars as model B cars. If the dealer makes a profit of $1300 on model A cars and $1700 on model B cars, how many of each car should the dealer have in the lot given that the total profit for the sale of both cars is $43,000?
Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0
The answer is a 20 model  A,  10 model B
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Complete question is attached.

Answer:

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Step-by-step explanation:

In this question, KLMN ~ PQRS. This means they are similar shapes.

From the image, we could denote that:

KL ~ PQ

LM ~ QR

Given that:

KL = 12

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QR = 20

LM = x

To find x, let's use tge expression:

\frac{KL}{PQ} = \frac{LM}{QR}

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Cross multiplying, we have:

12 * 20 = 30x

240 = 30x

To find x, let's divide both sides by 30.

\frac{240}{30} = \frac{30x}{30}

8 = x

x = 8

The correct option is option B.

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The data below represents the number of desks on each floor of Texter Corporate.
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Answer:

Box-plot = {54, 65, 69, 73, 76}

Step-by-step explanation:

The data provided for the number of desks on each floor of Texter Corporate is as follows:

S = {54, 60, 65, 66, 67, 69, 70, 72, 73, 75, 76}

There are a total of <em>n</em> = 11 floors.  

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

  • Minimum (shown at the bottom of the chart)
  • First Quartile (shown by the bottom line of the box)
  • Median (or the second quartile) (shown as a line in the center of the box)
  • Third Quartile (shown by the top line of the box)
  • Maximum (shown at the top of the chart).

Arrange the data in ascending order as follows:

S': = {54 , 60 , 65 , 66 , 67 , 69 , 70 , 72 , 73 , 75 , 76}

The minimum value is:

Minimum = 54

The maximum value is:

Maximum = 76

As there are odd number of values the median is the middle value.

Median = 6th value = 69

The first quartile is the median of the first half of the data.

S'₁ = {54 , 60 , 65 , 66 , 67}

First quartile = 3rd value = 65

The third quartile is the median of the second half of the data.

S'₂ = {70 , 72 , 73 , 75 , 76}

Third quartile = 3rd value = 73

Thus, summarized data for the box plot is:

Box-plot = {54, 65, 69, 73, 76}

The box plot is attached below.

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