Name: 1. True-false test. __T____ As n increases the student s t distribution approaches the standard normal ___T___ The main objective of Statistics is to make inferences.

 

Name: 1. Find the linear function give the equation in the form y mx b a With slope EMBED Equation and y-intercept -2 a __ EMBED Equation. 3 _____ b Through.

 

Self-assessment A - answers - Mathematical Induction 1. Use Mathematical Induction to prove that show all the work Step 1. Show that EMBED Equation. 3. Therefore,.

 

Self-Assessment Final 3-answers Name: EMBED Equation. 3 , use the Remainder Theorem and synthetic division to find P 9. Show the work. 2. Consider the polynomial function.

 

Probability Distributions - answers distribution of the mean Name: 1-2. Complete: a In a binomial distribution with n 400 and p 0. 3, the mean ___120_____ b In a binomial distribution with n 400 and p 0. 3, the standard.

 

EMBED Equation. 3 , use the Remainder Theorem and synthetic division to find P -11 2. Consider the polynomial function EMBED Equation. 3 a Use synthetic division to find the zeros.

 

One-dimensional mathematics Name: Complete: 1. Give an example of an irrational number: _ EMBED Equation. 3 , etc. ______ 2. Give the only whole number which.

 

Functions and relations Name: 1. Consider the graph of the mathematical relation given below: a Is this relation a function a _Yes_________ b Is this relation a one-to-one.

 

Name: 1. Write the equation that results when the absolute value function is shifted 4 units to the left and 3 units down. 2. Classify as odd,.

 

Self assessment C Name: 1. Solve the quadratic equation EMBED Equation. 3 by completing the square. Solution: EMBED Equation. 3 2. Solve the quadratic equation.

 

Functions and relations Name: 1. Find the linear function y mx b a with slope EMBED Equation. 3 and y-intercept 5. a EMBED Equation. 3 _ 2. Find the equation of the circle.

 

Mathematical Relations Name: Multiple choice Answer 1. Every real number that can be written as a fraction is called b rational 2. EMBED Equation.

 

NAME: ANSWER THE FOLLOWING 15 QUESTIONS I. For each of the following problems, complete the given integrals with the missing information. All answers must be given.

 

Self-assessment A- Answers Mathematical Relations 1. Find an equation of the line through the point -3, 4 and parallel to the line x 5 Answer: -3 1. x -3 2. Find an equation of the line through.

 

Self-assessment C - answer Mathematical Relations Name: Multiple choice Answer 1. Every real number that can be written as a fraction is called b rational.

 

Mathematical Relations Name: 2. In which quadrant is the point 3, -8 located 2. Fourth Quadrant 3. Give the range of the relation below -2, 5 -5, -4 , 3, 0 , 2, -1 3. Range 5, -4, 0, -1 5. Find the point.

 

1. Give the number EMBED Equation. 2 to the nearest 5 decimal places. 1. _1. 91554______ EMBED Equation. 3 3. If lnx -2. 156, then x 0. round to 3 decimal places EMBED.

 

Probability Distributions - answers distribution of the mean Name: 1-2. Complete: a In a binomial distribution with n 40 and p 0. 6, the mean __24______ b In a binomial distribution with n 40 and p 0. 6, the standard.

 

Probability Distributions -answers distribution of the mean Name: 1. Complete: a In a binomial distribution with n 100 and p 0. 1, the mean ___10_____ b In a binomial distribution with n 100 and p 0. 8, the standard.

 

1. Use Laplace transformations to solve the following electric circuit. SHAPE MERGEFORMAT EMBED Equation. 3 EMBED Equation. 3 2. Find the Laplace transform of each.

 

a Find the formula to express the above relation in terms of a constant k. EMBED Equation. 3 2. If you can place 6 packages of 8 ounces each in a box, how many packages.

 

1. According to the factor theorem if x – c is a factor of a polynomial function P x then P c is a zero. If c is a real zero then x c is an x-intercept. For the polynomial function EMBED Equation.

 

Exercise 1. What is the F distribution functional value for F 2. 14, df 18, 6 Exercise 2. Draw the graph of the F-distribution functions F x, 5, 12 WINDOW: Xmin -. 05 Xmax 10 Ymin -. 05 Ymax 1 Y deselect.

 

Double integrals – answers NAME: 6 The volume of the solid bounded by the coordinate planes and 3x 2y z 6 is given by the integral 7. Assume density is 1. The moment of inertia of the solid.

 

Self-assessment 3- answers – Partial Derivatives 1. EMBED Equation. 3 the point -2, 1, 1 answer: ___ EMBED Equation. 3 ________ Solution: EMBED Equation. 3 Solution: EMBED.

 

a Find the formula to express the above relation in terms of a constant k 8 Answer: EMBED Equation. 3 EMBED Equation. 3 The number of workers needed varies.

 

Multiple Integrals - answer NAME: ANSWER EACH OF THE FOLLOWING QUESTIONS I. Evaluate each of the following integrals. Show all the work. Obtain the answer.

 

NAME: Triple integrals in rectangular coordinates. For each of the following problems, complete the given integrals with the missing information. 1 Use the fact that.

 

Polynomials and Rational Expression 1. Consider a polynomial function y P x of degree 3 with leading coefficient -5. a x 3 is a root or zero of the polynomial function therefore P 3 _0________.

 

Polynomials and rational functions 1. For the polynomial function EMBED Equation. 3 y-intercept: __108____ d Local maximum points SHAPE MERGEFORMAT Use synthetic division.

 

Sequences and binomial expansion Name: Solution: EMBED Equation. 3 2. Find EMBED Equation. 2 2. __________ EMBED Equation. 3 5. Find the sum EMBED Equation.

 

Name: Problem 1. A study was conducted to estimate the cost of health insurance in a certain city. Twenty randomly selected families were selected.

 

Exponential and Logarithmic functions 1. Complete a The word logarithm means b The base of a natural log is the real number ____e__ which is approximately equal to _____2.

 

Name: Problem 1. When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow.

 

a Find the formula to express the above relation in terms of a constant k 8 Answer: EMBED Equation. 3 EMBED Equation. 3 The number of workers needed varies.

 

Mathematical Relations 2. In which quadrant is the point 3, -8 located 2. Fourth Quadrant 3. Give the range of the relation below -2, 5 -5, -4 , 3, 0 , 2, -1 3. Range 5, -4, 0, -1 5. Find the point symmetric.

 

Self-assessment A- Answers Mathematical Relations 1. Find an equation of the line through the point -3, 4 and parallel to the line x 5 Answer: -3 1. x -3 2. Find an equation of the line through.

 

Self-assessment Exam – Part I Name: I. Complete therefore the functions are linearly EMBED Equation. 3 EMBED Equation. 3 EMBED Equation. 3 3. The differential equation.

 

Self-Assessment E- answers 1. Find the equation of the line that best fits the scatter of the following points. Use the line to estimate the missing values of the function.

 

Name: I. Match the column on the left with the appropriate response on the write Selection Column 1 Response 23 1. representative sample 1. mean 13 2. Source of information.

 

NAME: 1. If w EMBED Equation. 2 , then the gradient of w is given by Solution: EMBED Equation. 3 answer: __ EMBED Equation. 3 _ 2. Find the divergence of the vector field.

 

NAME: 1. If w EMBED Equation. 2 , find the gradient of w Solution: EMBED Equation. 3 2. Find the divergence of the vector field determined in problem. Evaluate the divergence.

 

Part II-Mathematical Models Name: When rounding, use 4 decimal places. 1. According to the back of a milk carton sold by Model Dairy, the number.

 

Round all final answers to the nearest thousandth 1. Multiple choice test: a 65 students scored below 80 points. b 80 of the students scored 65 or more points.

 

Cylindrical and spherical coordinates - answers Name: 1. The mass of the solid inside the cylinder EMBED Equation. 2 but outside the cone EMBED Equation. 2 with.

 

Probability Distributions Name: 1. Complete: b In a binomial distribution with n 30 and p 0. 4, the standard deviation 2. 68328 2. Name four characteristics of a binomial distribution: a There.

 

Solution: EMBED Equation. 3 EMBED Equation. 3 another way: EMBED Equation. 3 answer: _______ EMBED Equation. 3 _______________ Solution: EMBED.

 

Classical approach Name: 1. True-false test __F_1. If a null hypothesis is rejected at a 0. 05 level, then it is also rejected at a 0. 01 level __T_2. The hypothesis:.

 

I. Classify each of the following conics or degenerate form of a conic section as parabola, ellipse or hyperbola. a 3x2 -2xy -3y2 4x -3y -2 0. Give answer to the nearest.