I’m working on a calculus discussion question and need support to help me learn.

THIS IS A THREE IN ONE DISCUSSION ASSIGNMENT. IT CONTAINS MODULE 7, MODULE 8 AND MODULE 9 DISCUSSION. Please kindly solve differently or number them separately when solving.

1. For this discussion, you will work in groups to find the area and answer questions.

Find the approximate area under the curve by dividing the intervals into $$subintervals and then adding up the areas of the inscribed rectangles. The height of each rectangle may be found by evaluating the function for each value of x. Your instructor will assign you 1${}_{\mathrm{}}$and 2${}_{\mathrm{}}$.

• =2 2+1‾‾‾‾‾‾√$\mathrm{}\sqrt{{}^{\mathrm{}}\mathrm{}}$ between =0$\mathrm{}$ and =6$\mathrm{}$ for 1${}_{\mathrm{}}$and 2${}_{\mathrm{}}$
• Find the exact area under the curve using integration =2 2+1‾‾‾‾‾‾√$\mathrm{}\sqrt{{}^{\mathrm{}}\mathrm{}}$between =0$\mathrm{}$ and =6$\mathrm{}$

Explain the reason for the difference in your answers.

2.For this discussion, you will work in groups to visualize the area under a curve using the online graphing tool Desmos. You will use the Desmos applet for a definite integral. To get started:

• First, review the Learn Desmos: Integrals video (desmos 1:51) (Links to an external site.) for a few pointers on using Desmos.
• Then, access the Definite Integral tool (Links to an external site.) from the Desmos site as a guest. You don’t need to create an account or sign in to the site.

Use the Definite Integral tool to explore the area under a curve. Complete the following.

• Replace the default equation with ( )=3 5−2 3$\mathrm{}{}^{\mathrm{}}\mathrm{}{}^{\mathrm{}}$.
• First, set the limits as =1$\mathrm{}$ and =2$\mathrm{}$. You may need to zoom in or out to see the graph and the shaded region.
• Then, experiment with a and b both being negative.
• Then, let a be negative and b be positive. Try using the slider and have a and b as decimals.
• Take a screenshot of one of your cases (including the right column of input information and the graph with the shaded region) to post into the discussion.

Find & Post

Find ∫21(3 5−2 3) ${}_{\mathrm{}}^{\mathrm{}}\mathrm{}{}^{\mathrm{}}\mathrm{}{}^{\mathrm{}}$ and share the steps you used to get it.

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Post your step-by-step work and a screenshot of one of your cases.

Question 3.

Find an equation for the slant asymptote for the rational function below

$f\left(x\right)=\frac{-3x^2-5x^3+x+3}{x^2-x+3}$

How to write answers EXAMPLE question1. A question2. D

Display the set of data in a cumulative frequency histogram.

Students’ Pets
Number of Pets	Tally	Frequency
0-1	| |	2
2-3	|	1
4-5	|	1
6-7	| |	2
8-9	| | |	3

Question 1 options:

Question 2 (5 points)

The tables show the number of points scored by two basketball teams this season.

Red Hawks Points Scored
42	59	50	37	36	43	44	38
40	56	49	52	46	47	55	31

Hurricanes Points Scored
45	40	49	42	50	46	45	37
40	42	51	48	45	43	46	47

Use a graphing calculator to construct a box-and-whisker plot for the Red Hawks’ number of points scored. Describe the shape of the distribution.

Question 2 options:

	The distribution is symmetric.
	The distribution is negatively skewed.
	The distribution is positively skewed.
	The distribution is linear.

Question 3 (5 points)

Find the mean. Round to the nearest tenth if necessary.

29, 22, 16, 10, 21, 23, 22, 29

Question 3 options:

	21.5
	20.4
	22.3
	22

Question 4 (5 points)

The table shows the grade that 4 students received on a math test. Find the bar graph that represents the grades.

Student	Marks
John	71
Tyler	60
Jack	77
Levi	60

Question 4 options:

Question 5 (5 points)

Display the set of data in a histogram.

Weekly TV Viewing
Time (hrs)	Tally	Frequency
0 – 4		3
5 – 9		14
10 – 14		7
15 – 19		12

Question 5 options:

Question 6 (5 points)

Use a graphing calculator to construct a histogram for the data, and use it to describe the shape of the distribution.

9, 12, 12, 6, 22, 32, 35, 37, 8, 4, 40, 6, 4, 10, 22, 34, 35, 29

16, 15, 13, 17, 18, 20, 13, 13, 18, 24, 23, 10, 16, 22, 10, 13, 26, 20

Question 6 options:

	negatively skewed distribution
	positively skewed distribution
	symmetric distribution
	linear skewed distribution

Question 7 (5 points)

Find the median. Round to the nearest tenth if necessary.

49, 13.9, 5.9, 16.6, 43.1, 11.2, 36.8, 43.7, 22.9, 45.1, 44.2

Question 7 options:

	36.8
	16.6
	22.9
	37.8

Question 8 (5 points)

Describe the center and spread of the data using either the mean and standard deviation or the five-number summary. Justify your choice by constructing a histogram for the data.

9, 1, 29, 10, 5, 39, 29, 4, 24, 8, 3, 33, 13, 32, 23, 32, 39, 10

18, 26, 26, 10, 9, 18, 15, 17, 12, 18, 9, 15, 9, 24, 12, 22, 20, 15

Question 8 options:

	The distribution is skewed, so use the five-number summary. range: 38, median: 16, half of the data are between 9.5 and 25
	The distribution is symmetric, so use the mean and standard deviation. mean: 17.7, standard deviation: 100

Question 9 (5 points)

Find the median. Round to the nearest tenth if necessary.

35, 24, 32, 24, 17, 33, 39, 23

Question 9 options:

	32
	24
	28
	28.5

Question 10 (5 points)

Find the mode of each set of data.

23, 30, 36, 29, 19, 33, 15, 36

Question 10 options:

	29.5
	27.6
	30.5
	36

Question 11 (5 points)

The tables show the number of points scored by two basketball teams this season.

Red Hawks Points Scored
42	59	50	37	36	43	44	38
40	56	49	52	46	47	55	31

Hurricanes Points Scored
45	40	49	42	50	46	45	37
40	42	51	48	45	43	46	47

What conclusion can you draw about the number of points scored by the Red Hawks and the Hurricanes?

Question 11 options:

	The means differ by only about 0.5, but the standard deviations show that the Hurricanes’ number of points is generally closer to the mean.
	The means differ by only about 0.5, but the standard deviations show that the Red Hawks’ number of points is generally closer to the mean.
	The means and standard deviations are very close for the Red Hawks and the Hurricanes.
	No conclusion can be made.

Question 12 (5 points)

Draw a dot plot for the set of data.

0, 3, 1, 3, 1, 2, 1, 5, 2, 0, 1, 2

Question 12 options:

Question 13 (5 points)

Display the set of data in a cumulative frequency histogram.

Students’ Pets
Number of Pets	Tally	Frequency
0-1	| | |	3
2-3	| |	2
4-5	| |	2
6-7	|	1
8-9	|	1

Question 13 options:

Question 14 (5 points)

The table shows the prices of electronics at a store. Find the dot plot with a scaled number line that represents the prices in the table.

Sale Prices ($)
$10.43	$36.05	$22.11	$48.92
$43.28	$40.66	$56.39	$27.00
$22.16	$19.45	$69.98	$34.82

Question 14 options:

Question 15 (5 points)

Find the variance. Round to the nearest tenth.

{6, 6, 7, 17, 20, 20}

Question 15 options:

	6.4
	41.2
	12.7
	1.6

Question 16 (5 points)

Find the mean. Round to the nearest tenth if necessary.

37.4, 11.7, 35.4, 18.6, 5.7, 48.8, 18.9, 30, 15.1, 26.6, 35.7, 40.2

Question 16 options:

	28
	26.6
	27
	25.8

Question 17 (5 points)

Find the range for each set of data.

71, 53, 102, 69, 100, 68, 104, 92, 90, 120, 64, 120, 71, 89, 105, 110

Question 17 options:

	66
	67
	91
	89

Question 18 (5 points)

Find the interquartile range.
6, 8, 9, 30, 30, 36, 38, 54, 64, 70, 75, 81, 93

Question 18 options:

	87
	34.5
	18.5
	53

Question 19 (5 points)

Find the mode of each set of data.

59, 48, 88, 24, 31, 76, 68, 88, 77, 18, 88

Question 19 options:

	88
	59
	60.5
	68

Question 20 (5 points)

Jason’s and Colleen’s quiz scores for the first quarter are shown in the tables below.

Jason’s Quiz Scores
13	19	18	19	17	16	18	17
14	16	11	15	19	20	18	20

Colleen’s Quiz Scores
14	11	13	14	15	12	10	11
16	12	15	12	13	13	13	14

Use a graphing calculator to construct a histogram for Jason’s quiz scores. Describe the shape of the distribution.

Question 20 options:

	The distribution is positively skewed.
	The distribution is negatively skewed.
	The distribution is symmetric.
	The distribution is linear.

1.Suppose that in a large class, the instructor announces that the
average grade on an exammmm is 75. Which is more likely to be closer to 75:

1. The exammm grade of a randomly selected student in the class?

OR

1. The mean exammm grade of a sample of 10 students?

Explain.

Write this first then give them reply from below posts. Do not use she,he, him ,her or this student. give them comment like your are giving them advice.

a.The greater the number of the data points the greater the chances you
have of being close to the mean of 75. So 10 data points of 10 student
testtt would be much more likely to be close to 75 than the single
randomly selected score. The more data points you have the more
clustered or close to mean it will be.

b. With only a sample of 1 your probability of choosing a students examm that is close to the average of 75 is not impossible but very low.

Now in a sample set of 10 exams you will have a greater probability of getting one examm that comes close, if not exactly the average of 75.

A better chance would arise if your sample set was at least 30 or more.

Hello,

I need help with some simple stat questions, written questions.

I do not mind that you search for answers, just no plagiarism.

Questions

https://docs.google.com/document/d/13ro7bmBZm2fBGx…