• Q : Men and women alternate....
    Basic Statistics :

    A group contains 6 men and 6 women. How many manners are there to arrange these people in a row if the men and women alternate?

  • Q : Difference between abel and dirichlet....
    Basic Statistics :

    Give an example where you can show me that there is a difference between Abel's and Dirichlet's tests and also a similarity.

  • Q : Students are staying in hall in hostel....
    Basic Statistics :

    Assume 7 students are staying in hall in hostel and they're allotted 7 beds. Among them, Parvin doesn't want a bed next to Anju because Anju snores. Then, in how many ways can you allot the beds?

  • Q : Relation on the set....
    Basic Statistics :

    Let A = {1, 2, 3, 4, 5} and R be the relation on the set A and R= {(1,1), (1,3), (1,5), (2,4), (3,1), (4,3), (4,4), (5,1), (5,3))}.

  • Q : Unit dose of levalbuterol contains....
    Basic Statistics :

    A 3mL unit dose of levalbuterol contains 5.0mL in a 0.5mg/mL concentration. If 2 unit doses are used how many mg of active ingredient is being used?

  • Q : Operation is the regular integer multiplication....
    Basic Statistics :

    Let p be prime number. Consider the group Zp={1,2,3,...p-1}, where the binary operation is the regular integer multiplication mod p. Prove (p-1)-1 = p-1(mod p).

  • Q : Installation of a new machine....
    Basic Statistics :

    ADC company is considering the installation of a new machine that costs $150,000. The machine is expected to lead to net income of $44,000 per year for the next five years.

  • Q : Determine the real interest rate the bank....
    Basic Statistics :

    If inflation is currently 3.35% and a bank is lending money at 6.65% interest, Determine the real interest rate the bank is earning on its loans?

  • Q : Determine an exponential generating function....
    Basic Statistics :

    Determine an exponential generating function for the number of distributions of r distinct objects into n different boxes with exactly m nonempty boxes the correct answer is C(n,m) x (e^x-1)^(n-m)

  • Q : Implications of dependent and independent event....
    Basic Statistics :

    How can we analyse events using the union and intersection of sets? Discuss the implications of dependent and independent event?

  • Q : Determine the smallest number of stamps....
    Basic Statistics :

    If Alma desires to mail rthe package which needs $1.53 in postage, and has only 5-cent and 8-cent stamps, determine the smallest number of stamps she could use to total exactly $1.53?

  • Q : Estimated scrap value....
    Basic Statistics :

    A piece of equipment will be bought for $50,000. It has a life of 15 years. If has estimated scrap value of $5000. What is the capitalized cost of this equipment assuming 10% annual interest rate w

  • Q : Question regarding different toppings....
    Basic Statistics :

    A very fancy pizza parlor has 9999 different toppings available. How many manners are there to top pizza, if each half of the pizza musthave exactly one topping?

  • Q : Irreducible polynomial of degree....
    Basic Statistics :

    Determine an irreducible polynomial of degree 3 over Z3 and use it to construct a field with 27 elements.

  • Q : Recursive equation describing the number of bees....
    Basic Statistics :

    Write down a recursive equation describing the number of bees owned by Carlisle Honey at the start of year n (where n = 0 corresponds to 2010).

  • Q : Letter of plaintext separately....
    Basic Statistics :

    An affine cipher is encryption using simple mathematical function. Suggest the affine cipher c = ax+b (mod 26) where x is the plaintext, the function applied to each letter of plaintext separately,

  • Q : Perfect square modul....
    Basic Statistics :

    Describe that given a,b in subset Z and p prime, if neither nor b is the perfect square modul p, then ab is a perfect square modulo p. Hint: for p odd, consider the possible values of a^((p-1)/2) m

  • Q : Multiplying two positive fractions....
    Basic Statistics :

    Whenever multiplying two positive fractions, the product is less than starting numbers? Sometimes? Always? Never? Why?

  • Q : Number of students in nancys....
    Basic Statistics :

    The ratio for Nacys class is girl to boy 3:5, the ratio of bills class is girl to boy 3:1 is the number of students in Nancys class a multiple of 8? if thetwo classes were combined what would be th

  • Q : Roots of the indicial equation....
    Basic Statistics :

    Verify the origin is regular singularity. Show the roots of the indicial equation do not differ by an integer. Find, by the method of Frobenius, two independent solutions of:

  • Q : Equation in one of the forms....
    Basic Statistics :

    Write each of the following equation in one of the forms: y=a(x-h)^2+k, x=a(y-h)^2+k, [((x-h)^2/a^2)+((y-k)^2/b^2)=1] or (x-h)^2 +

  • Q : Determine the center and the radius....
    Basic Statistics :

    Determine the center and the radius of each circle:

  • Q : Consecutive composite numbers....
    Basic Statistics :

    Let n > 1. Show that there exists n consecutive composite numbers. (Hint: consider (n+1)!+k for 2?k?n+1, where n!=n*(n-1)* ...2*1)

  • Q : Positive integers with gcd....
    Basic Statistics :

    Let a, b and n be three positive integers with gcd(a,n) = 1 and gcd(b,n) = 1. Show that gcd(ab,n) = 1

  • Q : Secant method to find a root....
    Basic Statistics :

    Assume you're using the secant method to find a root x * of a nonlinear equation (x) 0 f = . Show that if at any iteration it happens to be the case that x k = x * , then it will also be true that

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