## Description

### Unformatted Attachment Preview

8.
D
+0
107 mm
75mm
F
E
The area of triangle DEF is 2050mm². Work out the value of x.
9. a) Sketch sine and cosine functions below.
NOT TO
SCALE
(4 marks)
b) Solve the following equations for 0° ≤ x ≤ 360°. Make a sketch of the graph and indicate
all the solutions.
3sinx = 2
5tanx 3 = 1
-5. This is a cuboid:
A
3cm
8cm
B
5cm C
Calculate:
a) the length AC
b) the length BG
c) the length BF
E
F
H
G
A triangle has sides of 4cm, 6cm and 8cm. Is this triangle a right-angled triangle"
How tall is the tree?
d) the angle between the line BF and the base of the cuboid BCGH
65°
10m10. O is the centre of this circle, and AB is a chord.
If AB is 10cm and OC is 3cm, what is the radius of the circle?
C
B
not drawn accurately
11. AB and CD are chords of this circle, centre O. AD is a straight line.
Calculate the values of angles a - f.
A
D
47°)
AB = CD
6. For this triangle:
a) Calculate x.
b) Calculate the area.
B
C
7. Calculate angle a.
not drawn accurately
80°
50°)
x
16cm
8cm
9cm
b
10cm
(c

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Explanation & Answer:

Worksheet

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## Explanation & Answer

Please view explanation and answer below.

Sol: 1

𝑎𝑟𝑒𝑎 = (107)(75) sin(𝑥)

2

2050 = 4012.5 sin(𝑥)

sin 𝑥 =

2050

4012.5

sin 𝑥 =

2050

4012.5

𝑥 = sin−1 (

2050

)

4012.5

𝑥 = 30.72°

Sol: Sine function sketch:

Cosine function sketch:

Sol: 3 sin 𝑥 = 2

2

3

2

𝑥 = sin−1 ( )

3

sin 𝑥 =

𝑥 = 41.81°, 138.19°

Sol: 5 tan 𝑥 −...

Completion Status:

100%

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MTH410 Colorado State Week 4 Tractor Sales & Binomial Distribution Questions

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MTH410 Colorado State Week 4 Tractor Sales & Binomial Distribution Questions

Looking for help with paper due by Sunday September 8, 2019.International Tractor Motors (ITM) had recently undertaken an ad campaign aimed at agricultural owners in a certain country in Asia. The ad campaign was devoted to promoting the new IT-8 large specialty tractor. Four sales associates were assigned to sell in different medium to large farms throughout the country for many days. One associate was assigned to the northern part of the country. Another was assigned to the southern part. The other two were assigned to the west and east, respectively. Because of regulations, a sales associate can sell at most one IT-8 tractor per day and only one such tractor per farm, too. A sales associate was successful if he/she sold a tractor during the day. Thus, ITM can sell at most 4 tractors (4 total sales) per day in this country.Download the file titled Tractor Successes. It contains a scatter plot of the number of successes versus frequency. To compare the results to the Binomial Distribution, complete the following:Explain why this tractor sales scenario can be a binomial experiment.Using the Tractor Successes scatter plot, construct a frequency distribution for the number of successes.Compute the mean number of successes. The formula for the mean is as follows: ∑(x⋅f)∑fThe terms x represent the total number of successes (0, 1, 2, 3, 4) and f is the corresponding frequency (number of days where x successes occurred).Explain what the numerical result means.From the frequency distribution, construct the corresponding relative frequency distribution.Explain why the relative frequency distribution table is a probability distribution.Then, use Excel to create a scatter plot of the probability distribution:Select the two columns of the probability distribution. Click on INSERT, and then go to the Charts area and select Scatter. Then choose the first Scatter chart (the one without lines connecting).Using the frequency distribution, what is the tractor sales success average? In part 3, note that the numerator in the formula for the mean is the total number of successes. The total number of trials is the denominator of the formula for the mean multiplied by 4. What does this average mean?The Binomial Distribution is uniquely determined by n, the number of trials, and p, the probability of “success” on each trial. Using Excel, construct the Binomial Probability Distribution for four trials, n, and probability of success, p, as the tractor sales success average in part 5. Here is an explanation of the BINOM.DIST function in Excel: https://support.office.com/en-ie/article/BINOM-DIST-function-c5ae37b6-f39c-4be2-94c2-509a1480770c?ui=en-US&rs=en-IE&ad=I (Links to an external site.)For example, In Excel=BINOM.DIST(7,15,0.7, FALSE)represents the probability of 7 successes out of 15 (n) trials. The 0.7 is the probability of success, p.Using the above value of n=4 with probability of success, p, as the tractor sales success average in part 5, what is the probability of at least two successes?Using the formula for the mean of the Binomial Distribution, what is the mean number of successes in part 6 above?In Excel, create a scatter plot for the Binomial Distribution. The instructions for creating a scatter plot are in part 4 above.Use the results above to compare the probability distribution of tractor sales successes and the Binomial Distribution. Compare the means in parts 4 and 6, too.If the probability distribution of tractor sales successes and the Binomial Distribution differ, explain why that is so.Do you think the Binomial Distribution is a good model for the tractor sales success scenario? 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It might discuss the importance of the topic or how it affects you or society, or it might discuss or describe the unique terminology associated with the topic.The body of your paper should answer the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure the Word document is in paragraph format, not numbered answers like a homework assignment.The conclusion should summarize your thoughts about what you have determined from the data and your analysis, often with a broader personal or societal perspective in mind. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs. Your conclusion should emanate from (be aligned with) your findings.Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.

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STAT3215 Rasmussen College Null and Alternative Hypothesis Questions

Please see attached for the word document that I am needing assistance on.A survey was conducted to get an estimate of the proportion of smokers among the graduate students. The report says 38% of them are smokers. Mary doubts the result and thinks that the actual proportion is much less than this. Choose the correct choice of null and alternative hypothesis Mary wants to test.Select one:a. Ho: p=.38; Ha: p≠.38. b. Ho: p=.38; Ha: p>.38. c. Ho: p=.38; Ha: p<.38. d. Ho: p=.38; Ha: p≤.38. Question 2An advertiser is believed to exaggerate claims about the high performance of a company's product. A consumer protection agency wants to prove that this advertiser's claims are exaggerated. There is data available. The correct hypothesis test will beSelect one:a. Two-tailed test b. Right-tailed test c. Left-tailed test d. Any test can be used Question 3Significance level (denoted by α) is the probability that the test statistic will fall outside the critical region when the null hypothesis is actually true.Select one:True False Question 4If I want to test the null hypothesis that the mean is 50 versus the alternative that it is greater than 50, and I get a sample mean of 40, which is true?Select one:a. I cannot say anything; I need to know the standard deviation and the sample size. b. Always reject the null hypothesis. c. Never reject the null hypothesis. d. Reject the null if n > 30, otherwise fail to reject. Question 5If α = 0.01 for a two-tailed hypothesis test using the z test, the critical values are:Select one:a. ± 1.90 b. ± 1.96 c. ± 2.33 d. ± 2.58Question 6One problem with hypothesis testing is that a real effect may not be detected. This problem is most likely to occur when:Select one:a. The effect is small, and the sample size is small b. The effect is large, and the sample size is small c. The effect is small, and the sample size is large d. The effect is large, and the sample size is large Question 7Which of the following statements is false?Select one:a. Ho (null hypothesis) refers to a specified value of the population parameter. b. Ho (null hypothesis) refers to a specified value of a sample statistic. c. The statement of Ho (null hypothesis) always contains equality. d. The statement of Ha (alternate hypothesis) never contains equality. Question 8If you use the critical value method, you reject the null hypothesis if the test statistic falls within the critical region.Select one:True False Question 9Which of the following is not a correct statement for an alternative hypothesis?Select one:a. Greater than the value stated in the null hypothesis b. Less than the value stated in the null hypothesis c. Greater than or equal to the value stated in the null hypothesis d. Not equal to the value stated in the null hypothesis Question 10What value of alpha (α) corresponds to 98% confidence level?Select one:a. α=0.01 b. α=0.02 c. α=0.05 d. α=0.10 Question 11Which of the following would be an appropriate alternative hypothesis for a one-tail test?Select one:a. The sample proportion is not less than 0.55. b. The sample proportion is less than 0.55. c. The population proportion is not less than 0.55. d. The population proportion is less than 0.55.Question 12If p-value is greater than alpha in a two-tailed test:Select one:a. The null hypothesis should not be rejected b. The null hypothesis should be rejected c. A one-tailed test should be used d. Alpha should be changed Question 13Which of the following is not a criterion for a procedure that results in a binomial probability distribution?Select one:a. The procedure has a fixed number of trials. b. The trials must be independent. c. 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MTH410 Colorado State Week 4 Tractor Sales & Binomial Distribution Questions

Looking for help with paper due by Sunday September 8, 2019.International Tractor Motors (ITM) had recently undertaken an ...

MTH410 Colorado State Week 4 Tractor Sales & Binomial Distribution Questions

Looking for help with paper due by Sunday September 8, 2019.International Tractor Motors (ITM) had recently undertaken an ad campaign aimed at agricultural owners in a certain country in Asia. The ad campaign was devoted to promoting the new IT-8 large specialty tractor. Four sales associates were assigned to sell in different medium to large farms throughout the country for many days. One associate was assigned to the northern part of the country. Another was assigned to the southern part. The other two were assigned to the west and east, respectively. Because of regulations, a sales associate can sell at most one IT-8 tractor per day and only one such tractor per farm, too. A sales associate was successful if he/she sold a tractor during the day. Thus, ITM can sell at most 4 tractors (4 total sales) per day in this country.Download the file titled Tractor Successes. It contains a scatter plot of the number of successes versus frequency. To compare the results to the Binomial Distribution, complete the following:Explain why this tractor sales scenario can be a binomial experiment.Using the Tractor Successes scatter plot, construct a frequency distribution for the number of successes.Compute the mean number of successes. The formula for the mean is as follows: ∑(x⋅f)∑fThe terms x represent the total number of successes (0, 1, 2, 3, 4) and f is the corresponding frequency (number of days where x successes occurred).Explain what the numerical result means.From the frequency distribution, construct the corresponding relative frequency distribution.Explain why the relative frequency distribution table is a probability distribution.Then, use Excel to create a scatter plot of the probability distribution:Select the two columns of the probability distribution. Click on INSERT, and then go to the Charts area and select Scatter. Then choose the first Scatter chart (the one without lines connecting).Using the frequency distribution, what is the tractor sales success average? In part 3, note that the numerator in the formula for the mean is the total number of successes. The total number of trials is the denominator of the formula for the mean multiplied by 4. What does this average mean?The Binomial Distribution is uniquely determined by n, the number of trials, and p, the probability of “success” on each trial. Using Excel, construct the Binomial Probability Distribution for four trials, n, and probability of success, p, as the tractor sales success average in part 5. Here is an explanation of the BINOM.DIST function in Excel: https://support.office.com/en-ie/article/BINOM-DIST-function-c5ae37b6-f39c-4be2-94c2-509a1480770c?ui=en-US&rs=en-IE&ad=I (Links to an external site.)For example, In Excel=BINOM.DIST(7,15,0.7, FALSE)represents the probability of 7 successes out of 15 (n) trials. The 0.7 is the probability of success, p.Using the above value of n=4 with probability of success, p, as the tractor sales success average in part 5, what is the probability of at least two successes?Using the formula for the mean of the Binomial Distribution, what is the mean number of successes in part 6 above?In Excel, create a scatter plot for the Binomial Distribution. The instructions for creating a scatter plot are in part 4 above.Use the results above to compare the probability distribution of tractor sales successes and the Binomial Distribution. Compare the means in parts 4 and 6, too.If the probability distribution of tractor sales successes and the Binomial Distribution differ, explain why that is so.Do you think the Binomial Distribution is a good model for the tractor sales success scenario? Why or why not?How can International Tractor Motors use the Binomial Distribution to approximate tractor sales in similar countries?In what other scenarios can International Tractor Motors use the Binomial Distribution? Explain.Write a report that adheres to the formatting and APA expectations outlined on the Citing & APA Resources page (Links to an external site.) in the CSU-Global Writing Center. As with all written assignments at CSU-Global, you should have in-text citations and a reference page.Submit your Excel file in addition to your report.Requirements:The paper must be written in third person.Your paper should be four to five pages in length (counting the title page and references page) and cite and integrate at least one credible outside source. The introduction should describe or summarize the topic or problem. It might discuss the importance of the topic or how it affects you or society, or it might discuss or describe the unique terminology associated with the topic.The body of your paper should answer the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure the Word document is in paragraph format, not numbered answers like a homework assignment.The conclusion should summarize your thoughts about what you have determined from the data and your analysis, often with a broader personal or societal perspective in mind. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs. Your conclusion should emanate from (be aligned with) your findings.Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.

STAT3215 Rasmussen College Null and Alternative Hypothesis Questions

Please see attached for the word document that I am needing assistance on.A survey was conducted to get an estimate of the ...

STAT3215 Rasmussen College Null and Alternative Hypothesis Questions

Please see attached for the word document that I am needing assistance on.A survey was conducted to get an estimate of the proportion of smokers among the graduate students. The report says 38% of them are smokers. Mary doubts the result and thinks that the actual proportion is much less than this. Choose the correct choice of null and alternative hypothesis Mary wants to test.Select one:a. Ho: p=.38; Ha: p≠.38. b. Ho: p=.38; Ha: p>.38. c. Ho: p=.38; Ha: p<.38. d. Ho: p=.38; Ha: p≤.38. Question 2An advertiser is believed to exaggerate claims about the high performance of a company's product. A consumer protection agency wants to prove that this advertiser's claims are exaggerated. There is data available. The correct hypothesis test will beSelect one:a. Two-tailed test b. Right-tailed test c. Left-tailed test d. Any test can be used Question 3Significance level (denoted by α) is the probability that the test statistic will fall outside the critical region when the null hypothesis is actually true.Select one:True False Question 4If I want to test the null hypothesis that the mean is 50 versus the alternative that it is greater than 50, and I get a sample mean of 40, which is true?Select one:a. I cannot say anything; I need to know the standard deviation and the sample size. b. Always reject the null hypothesis. c. Never reject the null hypothesis. d. Reject the null if n > 30, otherwise fail to reject. Question 5If α = 0.01 for a two-tailed hypothesis test using the z test, the critical values are:Select one:a. ± 1.90 b. ± 1.96 c. ± 2.33 d. ± 2.58Question 6One problem with hypothesis testing is that a real effect may not be detected. This problem is most likely to occur when:Select one:a. The effect is small, and the sample size is small b. The effect is large, and the sample size is small c. The effect is small, and the sample size is large d. The effect is large, and the sample size is large Question 7Which of the following statements is false?Select one:a. Ho (null hypothesis) refers to a specified value of the population parameter. b. Ho (null hypothesis) refers to a specified value of a sample statistic. c. The statement of Ho (null hypothesis) always contains equality. d. The statement of Ha (alternate hypothesis) never contains equality. Question 8If you use the critical value method, you reject the null hypothesis if the test statistic falls within the critical region.Select one:True False Question 9Which of the following is not a correct statement for an alternative hypothesis?Select one:a. Greater than the value stated in the null hypothesis b. Less than the value stated in the null hypothesis c. Greater than or equal to the value stated in the null hypothesis d. Not equal to the value stated in the null hypothesis Question 10What value of alpha (α) corresponds to 98% confidence level?Select one:a. α=0.01 b. α=0.02 c. α=0.05 d. α=0.10 Question 11Which of the following would be an appropriate alternative hypothesis for a one-tail test?Select one:a. The sample proportion is not less than 0.55. b. The sample proportion is less than 0.55. c. The population proportion is not less than 0.55. d. The population proportion is less than 0.55.Question 12If p-value is greater than alpha in a two-tailed test:Select one:a. The null hypothesis should not be rejected b. The null hypothesis should be rejected c. A one-tailed test should be used d. Alpha should be changed Question 13Which of the following is not a criterion for a procedure that results in a binomial probability distribution?Select one:a. The procedure has a fixed number of trials. b. The trials must be independent. c. Each trial must have all outcomes classified into two categories usually referred to as "success" or "failure." d. The probability of success must be different in each trial.Question 14For what type of hypothesis test do we need to use a "t test?"Select one:a. When the sample size is very small b. When the population standard deviation Ϭ is not known c. Only for two-tailed tests d. When we test a claim for a Population Standard Deviation Question 15A result is called "statistically significant" whenever:Select one:a. The null hypothesis is true b. The alternative hypothesis is true c. The p-value is less or equal to the significance level d. The p-value is larger than the significance level Question 16Not yet answeredSuppose that n = 100, and we want to test whether the population mean is equal to 20 versus the alternative hypothesis that it is not equal to 20. The sample mean is found to be 18, and the sample standard deviation is 10. What is the p-value for this test?Select one:a. 0.0228 b. 0.0456 c. 0.5532 d. 1.00 Question 17If I want to test the null hypothesis that the mean is 100 versus the alternative that it is greater than 100 and I get a sample mean of 90, which of the following is true?Select one:a. I need to know the standard deviation and the sample size. b. Always reject the null hypothesis. c. Never reject the null hypothesis. d. Reject the null if n > 30, otherwise fail to reject. Question 18If the p-value is smaller than alpha, we reject the alternative hypothesis.Select one:True False Question 19For what hypothesis tests do we need to use the Chi-Square distribution?Select one:a. When testing a claim about a Population Mean b. When testing a claim about a Population Standard Deviation c. When testing a claim about a Population Proportion d. Always when a sample size is less than 30 Question 20A hypothesis test is done in which the alternative hypothesis is that more than 10% of a population is left-handed. The p-value for the test is calculated to be 0.25. Which statement is correct?Select one:a. We can conclude that more than 10% of the population is left-handed. b. We can conclude that more than 25% of the population is left-handed. c. We can conclude that exactly 25% of the population is left-handed. d. We cannot conclude that more than 10% of the population is left-handed.

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According to the Center for Disease Control (CDC), about 38 million Americans still smoke. Cigarette smoking was especiall ...

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