Math Answers

The graduate record exam is standardized test recquired to be admitted to many graduate schools in the United States. A high score in GRE makes admissions more likely. According th the educational testing service, the mean score for takers of GRE who do not have training courses is 555 with standard deviation of 139. Brain Philippine offers expensive GRE training courses, claiming their graduates score better than those who have not talen any training courses. To test the company's claim, a statisticiam randomly selected 30 graduates of BP and asked their GRE scores. 

Suppose the desicion rule is “Reject Ho if the mean score of the sample d BP graduates is greater than 590 otherwise, accept Ho". Compute for the level of significance for this test. Also, find the risk of concluding that the BP graduates did not score better than 555 when in fact the mean score is 600. Use 95% confidence level.

   You are given the following data for the year 2016 of XYZ Co. Limited

Variable cost              600,000

Fixed cost                  300000

Net profit                   100,000

1000,000

Required, Find out:

a)    Break-even point

b)    P/V ratio

c)    Margin of safety

d) Draw a break even chart showing contribution 

Change Q= x² + 2y² + 2z² - 2xy - 2yz + zx into real canonical form and find its rank and signature.

Find the volume of the solid obtained by rotating the region bounded by y = x^2 +1 and y = 9 – x^2 about y = -1.

A piece of string whose length is 32cm is cut into 2 pieces. one piece is used to form an equilateral triangle and the other to form of the circle so that the sum of the areas is a minimum? Find the minimum sum of the areas. Express your answer in pi. What is the function

Computation of derivative

Computation of Critical numbers

Computation of minimum value

Represent the sum of first terms of the series 3+33+333+.........

using the sigma notation.

Differentiate y= cos (6x +2)

If the degree of freedom is 20, what is the 96th percentile of t-distribution