11. Assume that the year has 366 days and all birthdays are equally likely. Assume it is equally likely that a person is born in any given month of the year. (a) From a group of n people chosen at random, how many choices are there that at least two are born in the same month of the year? Explain in detail.

Q: Consider the following linear program: maximise Z =1.5x+y subject to: x<4 ys6 x+y<=5 X,y2 0

A: Given: Maximize z=1.5x+ySubject to:x≤4y≤6x+y≤5x, y≥0

Q: Let x(t) = (x1(t), x2(t)) be the unique solution of the system: 2 = a} – a x2 = 1- x122 such that…

A: x1ι=x12-x22x2ι=1- x1x2x1(0)=2 and x2(0)=1Hence at  (2,1)x1ι=4-1=3x2ι=1-2=-1

Q: Tensor Algebra- find the t ensor's components given the matri 3 4. 10 20 30 40 100 200 300 400 L1000…

A: Given - Matrix Mμν = 1234102030401002003004001000200030004000 To find - a) The component of…

Q: area and can use television tim radio time, and about each medium is shown below. Medium Cost per…

A: Let x1 , x2 , x3 be the number of ads for TV , radio and newspaper. The condition given are: 1.The…

Q: Find T, N and K for the space given question: r(t) = Sinht i+ Cosh tj + t²k

A: The given equation is, r(t)=sinhti^+coshtj^+t2k^

Q: b) A company expects to sell 1000 units per month of a new product but there is uncertainty as to…

A: Number of units sells per month is 1000 units. The estimate of selling price and variable price with…

Q: A baker is trying to decide the number of batches of a particular type of bread that should bake…

A: Let us assume that K50=$50 and K20=$20 The contribution table is given below,         Batches…

Q: Please complete each section (A, B-1, B-2). Given the series of demand data below Period: Demandi a.…

A: Given Observations Period  Demand 1 45 2 32 3 49 4 41 5 22 6 48 7 37 8 41 9 26…

Q: Q7. The displacement within the time interval [2,3-5] calculated using the highest accuracy possible…

A: Given interval is, t 2 2.5 3 3.5 v 5 3.4 3 1 So, the displacement function is,…

Q: Q1: Solve the IBVP ut + u = V'u u (r, y, 0) = 0, u (x, y, 0) = cos z sin 3y %3D Uz (0, y, t) = u (T,…

A:

Q: Is the differential equation x" + e^x - 1 = 0 conservative or non-conservative? Explain why? If it…

A: Given x''+ex-1=0

Q: 73.2, 57.6, 93.8, 51.0, (), 39.4 A) 41.5 B) 15.8 C) 76.3 D 65.2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find a shortest spanning tree in the complete graph of all possible 15 connections between the six…

A: Given To find a shortest spanning tree in the complete graph of all possible 15 connections between…

Q: For the following symmetric (n x n)-matrix, find a set of n orthonormal eigenvectors. (Enter sqrt(n)…

A:

Q: 1 -1 Find a basis for the kernel and the image of the matrix A -2 -1 -1 -2 -1

A:

Q: If y(t) is a solution of the differential equation y"+by'+2y = t?cos(t), then ... (A) ... lim y(t) =…

A: Take Laplace transform of the differential equation and get Laplace transform of yt:…

Q: =5 (t- T)e2Tsin2T.dT s2(s² - 45 +5), Select one: OTrue False

A: Given: Let us consider, L-15s2(s2-4s+5)

Q: A recent survey by the American Cancer Society shows that the probability that someonelis a smoker…

A: 0.29 is the probability that someone is smoker. The probability that someone have lung cancer and…

Q: what is the volume of this shape? please show work.!

A: Given:

Q: Which scheme gives the smaller root to approximately 16 digits with the smaller number of…

A:

Q: 1. There are 600 insureds and the number of claims submitted by them is given as follows: 0 claims…

A: Given:- total number of  insured = 600 E1 = 430 insuredE2 = 120 insuredE3 = 40 insuredE4 =10 insured…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.