Working with outcomes of probability.

I have been given a question to break a pin code of 5 digits, and to list all the outcomes. The numbers are between Zero and Nine. How do I go about doing this?

Show that multiplication of an absolutely convergent series and bounded series is convergent.

Suppose the series ak (the k is subscript) converges absolutely and that the series bk is bounded. Show that the series ak*bk converges absolutely.

Using proportional relationships.

The main aims of this question are to use 1,proportional relationships in relevant contexts. 2,Explain the meaning of, and use correctly, words describing proportional relationships. 3,Write down proportional relationships both in the from of a power equation and as an expression involving the proportion symbol x. 4, Use pow ...continues

Discrete Math problems: Mathematical induction

1.Use mathematical induction to prove that 2-2*7+2*7^2-.....+2(-7)^n=(1-(-7)^n+1)/4 whenever n is a nonnegative integer. 2.Show that 1^3+2^2+....n^3=[n(n+1)/2]^2 whenever n is a positive integer. 3.Use mathematical induction to show that 3 divides n^3+2n whenever n is a nonnegative integer.

Discrete Math: Mathematical Induction

1.Use mathematical induction to prove that 2-2*7+2*7^2-.....+2(-7)^n=(1-(-7)^n+1)/4 whenever n is a nonnegative integer. 2.Show that 1^3+2^2+....n^3=[n(n+1)/2]^2 whenever n is a positive integer. 3.Use mathematical induction to show that 3 divides n^3+2n whenever n is a nonnegative integer.

Working with a sinusoidal function.

This question concerns the function y/3 = 3+ 4sin [3x+ pi ] Where x is measured in radians. (1) Choose the one option which gives the value of the function when x= pi/2 (2) Choose the one option which gives the period of the function. Options for questions 1 and 2. A 1 B. 2 C. 3 D. 4 E. pi/3 ...continues

Journeys and pythagora' theorem and trigonomety and cosine and sine formulas

(i) A herring gull was ringed at Llyn Trawsfynydd Gwynedd (grid reference SH 700360) and was retapped near Criccieth, Gwynedd ( grid reference SH 500380). The ringing report states the Distance as 20km and the Direction as 276 degrees. (a) Use the grid refernces and trigonometry to check that the map bearing of Criccieth fr ...continues

Permutation -Combination

An anthropologist discovers an isolated tribe whose written alphabet contains only six letters called a, b, c, d, e, and f. The same letters cannot be used twice in the same word. If each different sequence of letters constitutes a different word in the language, what is the maximum number of six-letter words that the language ...continues

Evaluating expressions with square roots

Evaluate this expression if K=-4,m=2,and n=16. -3sq.root of n + m +5k.

Linear Programming

Please see the word attachment for questions. I want answer on the excel sheet.