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Suppose X is a space that is the union of the closed subspaces X_1, ..., X_n; assume there is a point p of X such that X_i (intersection) X_j = {p} for all i not equal to j.
Show that if for each i, the point p is a deformation retract of an open set W_i of X_i, then the fundamental group of X is the external free product of the groups pi_1(X_i, p) relative to the monomorphisms induced by inclusion.
A motorcycle dealership has allocated 90% of its employees to the sales of motorcycles of which 70% of this 90% are male employees, this company has also determined that 80% of all its employees are male.
Test for independence of attributes
The mean of the sales is 141.1 with a standard deviation of 13.62. What is the probability that he will not be able to sell 160 or more widgets in the next year?
What is the limit definition of derivative? How can we use it to find a derivative?
What should be the size of each repayment if the loan is to be amortized at the end of the term? (Round your answer to the nearest cent.)
If the probability of making each shot is 3/4, what is the probability that he will make both shots?
A linear transformation L:V->V is said to be idempotent if L dot L = L. If L is idempotent, show that there exists a basis S={a1,a2,...,an} for V such that L(ai)=ai for i= 1,2,...,r
Calculate the 95% confidence interval for the population mean, based on the sample mean.
Important information about Counting and probability, Find the number of possible combinations of picking 2 items out of 6.
A plane flies 430 miles with the wind and 310 miles against the wind in the same length of time. If the speed of the wind is 30mph, what is the speed of the plane in still air?
dimensions of a rectangle where its length is 11 more than its width. If the lenght was doubled and width decreased by 5 the area would be increased by 72 in squared what are the length and side eimdension.
Calculate the energy required to produce 7.00 mol Cl2O7 on the basis of the following balanced equation.
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