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asambeis [7]
3 years ago
5

Instructions: Use the images to answer the questions below.

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0

Some of the sub-questions have been answered. I will provide explanation to the already answered questions and then answer the unanswered parts

1. The graph type

The three graph displayed are stem-and-leaf plots. The single numbers at the left-hand side are referred to as the stem, while the numbers at the right are called leaves.

2. The type of data

The three graphs display numerical data (i.e. numbers). Hence, the data are quantitative

3. The correct graph

To know the correct graph; the leaves on each line must be in ascending order and the delimiter to use is a blank space.

Only graph A obey the above illustration

4. Skewness

In graph A, the length of the leaves increases as we move from one stem to the other. This means that the graph is negatively skewed.

For a negative skewed stem plot, the mean is less than the median

5. The population size

This means that we count the number of leaves in the stem plot

The leaves are:

Leaves = \{0,8,4,8,0,4,6,2,2,2,6,6,6,0,0,0,0,2,4\}

So, the population size is: 19

6. The data set

To do this, we include the stem to the corresponding leaves.

So, we have:

Dataset= \{50,58,64,68,70,74,76,82,82,82,86,86,86,90,90,90,90,92,94\}

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Use elimination to solve the system of equations.<br><br> 3x – 5y = –9<br> x + 2y = 8
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Mark is going to an awards dinner and wants to dress appropriately. He had one blue shirt, one white dress shirt, one black dres
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Answer:

<u>All the four statements are true , which are -</u>

(A) The subset contains contains of all the outfits that have grey slacks .

(B)  The subset contains contains of all the outfits that have grey slacks and red tie .

(C) The subset contains contains of all the outfits that have grey slacks and blue shirt .

(D)  The subset contains contains of all the outfits that do not have black slacks .

Step-by-step explanation:

<u>We are given with Outfit 2 , 4 and 6</u>

Outfit 2 -   Blue     grey     red

Outfit 4 -   White    grey     red

Outfit 6   - Black     grey    red

(A) Since only 2,4, and 6 contain grey slacks, and no other outfit contains grey slacks, those are the subsets that contain grey slacks. Thus , this statement is true .

(B) Just outfits 2, 4, and 6 have grey slacks and a red tie, proving the statement. Other clothes do not include grey slacks and a red tie; they may include a red tie but not both grey slacks and a red tie. Hence , the statement is true .

(C) Since the outfit 2 has grey slacks and a blue shirt, the statement is correct; no other outfit has both grey slacks and a blue shirt. Therefore , this statement is also correct .

(D) The argument is correct since all of the subsets contain grey slacks and no black slacks.

Hence , all the options A , B , C , D are correct and describes the subset .

<u>The given question is incomplete , the complete question is attached here - </u>

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an outlier may be defined as a data point that is more than 1.5 times the interquartile range below the lower quartile or is mor
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Supposing a normal distribution, we find that:

The diameter of the smallest tree that is an outlier is of 16.36 inches.

--------------------------------

We suppose that tree diameters are normally distributed with <u>mean 8.8 inches and standard deviation 2.8 inches.</u>

<u />

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • The Z-score measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.<u> </u>

<u />

In this problem:

  • Mean of 8.8 inches, thus \mu = 8.8.
  • Standard deviation of 2.8 inches, thus \sigma = 2.8.

<u />

The interquartile range(IQR) is the difference between the 75th and the 25th percentile.

<u />

25th percentile:

  • X when Z has a p-value of 0.25, so X when Z = -0.675.

Z = \frac{X - \mu}{\sigma}

-0.675 = \frac{X - 8.8}{2.8}

X - 8.8 = -0.675(2.8)

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75th percentile:

  • X when Z has a p-value of 0.75, so X when Z = 0.675.

Z = \frac{X - \mu}{\sigma}

0.675 = \frac{X - 8.8}{2.8}

X - 8.8 = 0.675(2.8)

X = 10.69

The IQR is:

IQR = 10.69 - 6.91 = 3.78

What is the diameter, in inches, of the smallest tree that is an outlier?

  • The diameter is <u>1.5IQR above the 75th percentile</u>, thus:

10.69 + 1.5(3.78) = 16.36

The diameter of the smallest tree that is an outlier is of 16.36 inches.

<u />

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