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Show that if n is a positive integer with n ≥ 3, then
C(n, n − 2) = ((3n − 1)C(n, 3))/4
Find an orthonormal basis of R^3, of which (0,3√13, 2√13) is one element
If lim f(x) and lim g(x) exist as x approaches a then lim [ f(x) / g(x) ] = lim f(x) / lim g(x) as x approaches a. true or false
my mother works as a tutor and a babysitter. she earns 200.00 per hour as a tutor and 100.00 per hour as a babysitter. she renders 12 hours a week. she works to get at least 2,000.00. write the system of inequalities that will represent this situation. find out at least the possible number of hours my mother works as a tutor and a babysitter in a week, by graphing
A data set of 20 observations has a mean 45 and standard deviation 25.4. The data set is reviewed and one observation which was incorrectly recorded is now corrected to 30. Determine the mean and standard deviation of the corrected data
A random sample of five policyholders is taken from a group of 10 comprising 4men and 6women. Let x represent the number of females in the sample. Calculate the expected value and variance of the number of female policyholders
Ryza borrows P 150,000. At what rate compounded bi – monthly will her interest be if she agrees to pay P10,000 more at the end of 2 years?
What are the values of the following expressions?
- ∑_(i=3)^6▒ (i^2+6)
- ∏_(j=1)^5▒ (j/2)
- 4!
- 0!
- (6¦2)
- C(6,2)
In a restaurant, customers may order any combination of chips, salad or onion rings. The probability that a customer chooses onion rings is 0.3, salad 0.4 chips and salad 0.15, chips and onion rings 0.55, all three 0.05, none 0.2.
calculate the probability a customer chooses
chips
exactly one item
Q. Write down 10 uses of Surface Integration in computer science Engineering
