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Derive the equation of the right circular cone generated by rotating the line 6x=3y=2z about the line 2x=-2y=-z
Describe the long term behaviour of the sequence x(to the base n) given by x(to base n)=11x(0.9)^n -5 (n=1,2,3...)
Justify answer
For the infinite geometric sequence (x to base n) whose first four terms are 1.5, 3.6, 8.64 & 20.736

1) find the values of the first term a and the common ratio r and write down a recurrence system for this sequence.
2) Write a closed form for this sequence
3) Calculate the 7th term of sequence
4) how many terms of sequence are less than 30000
Thank you for your help
Conduct a survey of population in your locality taking a sample of at least 100 families
(i) Represent the data of age using the intervals of width 10
(ii) Display the data of expenditure on education, health, household, food and clothing
(iv) Find coefficient of variation of the income of thefamilies.
(iv) Also find which income group is more stable in their earning.
Solve the systems using the Gaussian elimination method.
x+2y+z=4
2x-y-3z=2
x-8y-9z=-8
5x+5y =14
show that if E be a finite extension of F then E is
normal extension of F if and only if E is a splitting field of some polynomial over F
If K is a finite extension of F and E is a subfield of K which contains F, then [E:F][K:F].
Question

A sample of students from an introductory markerting class was polled regarding the number of hours they spent studying for the last statistics exam. All students anonymously submitted the number of hours on a 3 by 5 card .there were 24 individuals in the one section of the course polled .the data was used to make inferences regarding the other students taking the course .there data are below :

4.5 22 7 14.5 9 9 3.5 8 11 7.5 18 20 7.5 9 10.5 15 19 2.5 5 9 8.5 14 20 8

A) compute the mean number of hours the marketing students spent studying for the last statistics exam

B)Compute a 99% confidence interval for hours spent studying for the last statistics exam

C)compute the proportion of marketing students who spent less then 10 hour a studying for the last statistics exam

D)compute a 98% confidence interval of the true population proportion of marketing students who spent less than 10 hours studying for the last statistics exam .
Triangle PQR has a right angle at R. The length of side PR is 9.8 cm, and the length of side QR is 6 cm. Sketch triangle PQR, and find ∠PQR, giving your answer correct to the nearest degree.
Points A and B are on the same horizontal line with the foot of a hill and the angles of depression of these points from the top of the hill are 30.2 and 22.5, respectively. If the distance between A and B is 75.0 m, what is the height of the hill?
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