160.131 Mathematics for Business (1) Test 1 4th of April, 2012 Formulas you may need Slopes (Gradients) The slope (or gradient) m of a curve measures the rate of change in the dependent variable (y), i.e. m = [pic] = [pic] = [pic] = [pic] Determining the Equation of a Line: If we know 2 distinct points (x1, y1) and (x2, y2) on the line: y – y1 = [pic](x – x1); if we know a point (x0, y0) and the slope m of the line: y – y0 = m(x – x0); if we know the slope m and the y-intercept (0, c) of the line: y = mx + c. multiplier = - [pic] Inverse Matrices for 2 × 2 matrices: If A = [pic] then A-1 = [pic][pic], provided ad – bc [pic] 0. Best Fit Curves and
In your own words explain how to solve a variation problem. First and foremost you will begin by making an equation. Next you will need to remove the values and plug them in the correct spots within the equation to solve for k. Whatever you come up with you will then put that in and then solve the originals. 42.) What does it means if two quantities vary inversely?
STAT 533 COURSE PROJECT – PART C Using MINITAB perform the regression and correlation analysis for the data on CREDIT BALANCE (Y) and SIZE (X) by answering the following. 1. Generate a scatterplot for CREDIT BALANCE vs. SIZE, including the graph of the ‘best fit’ line. Interpret.
due = downpayment – total 10. Write a pseudocode statement that multiplies the variable subtotal by 0.15 and assigns the result to the variable totalfee. First you must make the variables real numbers. example.Dim subtotal As Double = 0 The statement asked for in the question will appear as totalfee = subtotal *
We can conclude that the data are Poisson distributed. Chi-Square test of independence Problem 12.12 Use the following contingency table to determine whether variable 1 is independent of variable 2. Let α = .01 | Variable 2 | Variable1 | 24 | 13 | 47 | 58 | | 93 | 59 | 187 | 244 | Step 1 Ho: the two classifications are independent Ha: the two classifications are dependent Step 2 d.f = (r – 1) (c – 1) Step 3 α = 0.01 x 2 0.01, 3df = 11.3449 Step 4 Reject Ho if x 2 > 11.3449 | Variable 2 | Total | Variable1 | 24 (22.92) | 13 (14.10) | 47 (45.83) | 58 (59.15) | 142 | | 93 (94.08) | 59 (57.90) | 187 (188.17) | 244 (242.85) | 583
Make a copy of the Pledges worksheet, and then rename the copied worksheet as Q9. In the Q9 worksheet: a) Sort the filtered data by fund name in ascending (A to Z) order. b) Convert the table to a range. (Hint: When you convert your table to a normal range, the filter arrows in each column will disappear.) c) Filter the data to display only records with an amount received greater than zero.
ECON 1312 Homework Assignment # 2 Chapter 4 1. Why do we need a units-free measure of the responsiveness of the quantity demanded of a good or service to a change in its price? Answer: To measure or to compare the demand of the two unrelated goods or services. 2. Define the price elasticity of demand and show how it is calculated.
Randy Michael NT 1210 Lab 1.1 Professor Chibuzo Onukwufor 4/1/15 Lab 1.1 1: Convert the decimal value 127 to binary. Explain the process of conversion that you used. Decimal Number | Binary Number | Remainder | 127 - | 64 | 63 | 63 - | 32 | 31 | 31 - | 16 | 15 | 15 - | 8 | 7 | 7 - | 4 | 3 | 3 - | 2 | 1 | 1 - | 1 | 0 | Binary | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 20 | Decimal | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 | Conversion | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | I took the decimal and divided it by two giving 1 for the remainders and 0 if it did not have a remainder. 2: Explain why the values 102 and 00102 are equivalent. They are equivalent because they represent the powers of 10 3: Based on the breakdown of the decimal and binary systems in this lab, describe the available digit values and the first four digits of a base 5 numbering system.