I have been tutoring Math for the last one years to students studying in engineering and to students of Grade 11 and 12. I started tutoring when I was pursuing an engineering degree .I love teaching students who are passionate to make or build a career in Math or wants to understand math at graduation .
Find the missing numerator so that the two fractions are equivalent.(a) $\frac{4}{5}=\frac{?}{25}$(b) $\frac{7}{x}=\frac{?}{10 x}$(c) $\frac{3}{2-x}=\frac{?}{x-2}$
What is the $L C D$ for the expressions $\frac{1}{x}$ and $-\frac{1}{9 x} ?$A. 9B. $x$C. $9 x$D. $9 x^{2}$
The following exercises are of mixed variety. Factor each polynomial.$$m^{3}+m^{2}-n^{3}-n^{2}$$
What is the $L C D$ for the expressions $\frac{4}{a}$ and $\frac{2}{a+6}$ ?A. $a$B. $a+6$C. $2 a+6$D. $a(a+6)$
The following exercises are of mixed variety. Factor each polynomial.$$64 x^{3}+y^{3}-16 x^{2}+y^{2}$$
Convert the equation to polar form: 3x = 3y.
1. A hospital records the number of floral deliveries itspatients receive each day. For a two-week period, the records show:15, 27, 26, 24, 18, 21, 26, 19, 15, 28, 25, 26, 17, 231.a Use a three-period moving average forforecasting and report the forecast for period 4 using 2numbers after the decimal point.1.b Use a three-period moving average forforecasting and report the forecast for period 7 using 2numbers after the decimal point.1.c Use a three-period moving average forforecasting and report the forecast for period 13 using 2numbers after the decimal point.1.d Use a three-period moving average and report theforecast error for period 5 using 2 numbers after the decimalpoint. Use absolute value.1.e Use a three-period moving average andreport the forecast error for period 10 using 2 numbersafter the decimal point. Use absolute value.1.f Use a three-period moving average andreport the forecast error for period 13 using 2 numbers afterthe decimal point. Use absolute value.1.g Use a three-period moving average andreport the MAE (Mean Absolute Error) for the period offorecasting. Use 2 numbers after the decimal point.
A procurement manager is analyzing a set of bids that he has received for five projects from six bidders. The guidelines established for selecting the successful bidders require the manager to minimize the total cost to complete the projects, not award more than one contract to each bidder, and disregard the lowest bid whenever it is more than 25 percent below the next lowest bid (the assumption being that the quality of the work will not be up to standards). The bids on the projects (in thousands of Ksh.) are shown in the table below:
Contract Bidder A B C D E1 7 8 8 12 72 9 13 10 14 53 3 7 6 13 114 17 17 7 8 85 8 12 7 15 166 10 10 10 16 8
Required:Identify which particular bidder(s) shall not be eligible for which particular contract(s) in pursuance of the requirement in (c).
Identify the successful bidder for each of the five contracts.
Work out the optimal assignment pattern if the requirement (c) is waived.
A certain plant dies at the end of the summer, producing seeds which might survive to the next summer. Suppose that N, the number of plants which result next summer, has a Poisson distribution with the parameter λ. Suppose that each of these plants goes through the same procedure the following year. If we let X_i denote the number of plants resulting the second summer from the ith plant of the next summer, then we assume N, X_1, X_2,... are independent and each has the Poisson distribution with parameter λ. Start with a single plant this summer. Let Y be the number of plants two summers from now (Y=X_1+X_2+...+X_N).
1) What is the probability generating function for Y, G_Y(s)?2) What is P(Y=0)? What is P(Y=1)?3) What is E(Y)?
The local ice cream shop keeps track of how much ice cream they sell versus the noon temperature on that day. Here are their figures for the last 12 days:
Ice Cream Sales vs Temperature
Temperature (°C) Ice Cream Sales14.2 $21516.4 $32511.9 $18515.2 $33218.5 $40622.1 $52219.4 $41225.1 $61423.4 $54418.1 $42122.6 $44517.2 $408
Consider the following linear program:Max 1A + 2Bs.t.1A <= 51B <= 42A + 2B = 12A, B >= 0a. Show the feasible region.b. What are the extreme points of the feasible region?c. Find the optimal solution using the graphical procedure.
