Mathematics problem solving

1. (1 point) The point P(5;34) lies on the curve y=x2+x+4. Let Q be the point (x

1. (1 point) The point P(5;34) lies on the curve y=x2+x+4. Let Q be the point (x;x2+x+4). a.) Compute the slope of the secant line PQ for the following values of x: When x = 5:1 ,…

1. (1 point) What is the standard error for the proportion of Blood Type \'B\' f

1. (1 point) What is the standard error for the proportion of Blood Type 'B' for a sample of 300 individuals? A. 0.008 B. 0.40 C. 33 E. 0.018 2. (1 point) For our sample of 300, a…

1. (10 marks) Mark each statement true or false. Justify each answer: for true s

1. (10 marks) Mark each statement true or false. Justify each answer: for true statements briefly quote relevant facts, for false ones, provide a counterexample. (a) If A is a 3 ×…

1. (10 points total) Suppose you play a card game at a carnival. It costs 2 doll

1. (10 points total) Suppose you play a card game at a carnival. It costs 2 dollars to play the game. The dealer randomly shuffles 4 cards. Only one of the 4 cards is an Ace. You …

1. (10 points) (Without Python) Unfortunately, Eddard is lost in the dark dungeo

1. (10 points) (Without Python) Unfortunately, Eddard is lost in the dark dungeon of the Red Keep. He knows there are three doors, and one of the doors will lead him to freedom. I…

1. (10 points) (Without Python) Unfortunately, Eddard is lost in the dark dungeo

1. (10 points) (Without Python) Unfortunately, Eddard is lost in the dark dungeon of the Red Keep. He knows there are three doors, and one of the doors will lead him to freedom. I…

1. (10 points) A bin of 35 manufactured parts contains 6 defective parts and 29

1. (10 points) A bin of 35 manufactured parts contains 6 defective parts and 29 non-defective parts. A sample of size 5 parts is selected from 35 parts. Selected parts are not rep…

1. (10 points) Assume that the heights of NBA players are normally distributed w

1. (10 points) Assume that the heights of NBA players are normally distributed with mean height 73.5 inches and standard deviation 2.2 inches. Show what you did (such as sketches,…

1. (10 points) Circle the best auswer that applies: (a) (2 points) The Weibull H

1. (10 points) Circle the best auswer that applies: (a) (2 points) The Weibull Hazard Rate: a is the number of failures per hour b is a conditional probability e is the inverse of…

1. (10 points) First of all, generate N1000 random variables x(» (ra) (x\" x\")

1. (10 points) First of all, generate N1000 random variables x(» (ra) (x" x") representing 1000 random coordinates in the unit square S- [0, 1]2. In your report, state clearly how…

1. (10 points) How many 60 W light bulbs, connected to 120 V in parallel, can be

1. (10 points) How many 60 W light bulbs, connected to 120 V in parallel, can be used without blowing a 15A fuse? 2, (10 points) Find the direction of the force on a negative char…

1. (10 points) Let A, B and C be random events. Indicate True or False for each

1. (10 points) Let A, B and C be random events. Indicate True or False for each of the following. (a) T (b) T (c) T If A and B are disjoint, then P(AUB) 0. If A and C are independ…

1. (10 points) of the microprocessors manufactured by a certain process, 7% are

1. (10 points) of the microprocessors manufactured by a certain process, 7% are defective. Five microprocessors are chosen at random. Assume they function independently. a. What i…

1. (10 points).Queuing Analysis Basics (15 minutes) 1.1 A company in the year 20

1. (10 points).Queuing Analysis Basics (15 minutes) 1.1 A company in the year 2030 has developed a robotic dry cleaning service. The shirts are placed in arn assembly line such th…

1. (10 pts) Draw two graphs. One that is A) a one-to-one function and B) a funct

1. (10 pts) Draw two graphs. One that is A) a one-to-one function and B) a function but not one- to-one. 2. (6 pts) Based on data about the growth of invasive mimosa trees, the fo…

1. (10 pts) Two common types of errors in computer programs are syntax errors an

1. (10 pts) Two common types of errors in computer programs are syntax errors and logic errors. For a particular programming exercise in an introductory programming course, the in…

1. (10 pts) Two common types of errors in computer programs are syntax errors an

1. (10 pts) Two common types of errors in computer programs are syntax errors and logic errors. For a particular programming exercise in an introductory programming course, the in…

1. (10.02) Elephants sometimes damage crops in Africa. It turns out that elephan

1. (10.02) Elephants sometimes damage crops in Africa. It turns out that elephants dislike bees. They recognize beehives in areas where they are common and avoid them. Can this be…

1. (12 points) Answer True or False for each of the following questions. There i

1. (12 points) Answer True or False for each of the following questions. There is no need to justify your answer. (a) If A is an n × m, matrix and B is m × r matrix then the domai…

1. (12 points) For each of the following cases, give the expected value of the s

1. (12 points) For each of the following cases, give the expected value of the statistic (the sample mean, ž, or the sample proportion, p), give the variance of the statistic, and…

1. (12 points) For these problems, begin with what is given (mathematically) and

1. (12 points) For these problems, begin with what is given (mathematically) and then use math- ematical properties (such as those for matrix-vector products) to get the result de…

1. (12 pts) Ia the diagram below, chords AB (12 Pts of the n below, chords AB an

1. (12 pts) Ia the diagram below, chords AB (12 Pts of the n below, chords AB and CD are perpendicular. Let the be given by d. Prove that Ax+BXCx+ DX2 - I diameter of the cirele b…

1. (12) Give the first five terms of a sequence and find its limit. 2. (7) Calcu

1. (12) Give the first five terms of a sequence and find its limit. 2. (7) Calculate the sum of a geometric series. 3. (12) Test a given series for convergence using the integral …

1. (12pts) A boy has color blindness and has trouble distinguishing blue and gre

1. (12pts) A boy has color blindness and has trouble distinguishing blue and green. There are 60 blue pens and 40 green pens mixed together in a box. Given that he picks up a blue…

1. (14 marks) Consider the following variables: (a) Identify each of the followi

1. (14 marks) Consider the following variables: (a) Identify each of the following variables as qualitative or quantitative and then identify their level as nominal, ordinal, inte…

1. (14 points) Consider the system of equations represented by Ax -b where A and

1. (14 points) Consider the system of equations represented by Ax -b where A and its row- reduced echelon form are given by 1 3 -2 0 2 0 2 6 -5-2 4-3 0 0 5 10 0 15 2 6 0 8 4 18 13…

1. (15 Points) On the average, City Bank approves 30% of all its personal loan a

1.       (15 Points) On the average, City Bank approves 30% of all its personal loan applications. On a particular day there are 15 loan applications. Using the binomial distribut…

1. (15 points) When children are discharged from the hospital their parents may

1. (15 points) When children are discharged from the hospital their parents may still provide substantial care such as the insertion of a feeding tube. It is difficult for parents…

1. (15 points) When children are discharged from the hospital their parents may

1. (15 points) When children are discharged from the hospital their parents may still provide substantial care, such as the insertion of a feeding tube. It is difficult for parent…

1. (15 pts) Two light beams, both of wavelength 600 nm, travel in vacuum and are

1. (15 pts) Two light beams, both of wavelength 600 nm, travel in vacuum and are initially in phase. The beams each enter two thin slabs of plastic as shown in the figure below. L…

1. (15) Find the slope of the line through the origin that splits the region bou

1. (15) Find the slope of the line through the origin that splits the region bounded by the parabola y = y-x^2 and the x-axis into two regions of equal area. 2. (10) When an oil w…

1. (15.48 S-AQ) The scores of 12th-grade students on the National Assessment of

1. (15.48 S-AQ) The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test have a distribution that is approximately Normal wi…

1. (16 points) In the following A in always an ?NVERTIBLE \" following is true o

1. (16 points) In the following A in always an ?NVERTIBLE " following is true or falen (a) A is row equivaleut to the ideutity n tnatrix. Ine-shel True Falsn b) A mst be diagonali…

1. (16 pts) The results of a wide range of studies indicate that there is a very

1. (16 pts) The results of a wide range of studies indicate that there is a very precise order of phosphorylation/dephosphorylation events controlling the activity of the mitotic …

1. (18 pts)The mother of a 17 year old girl brings her daughter to the doctor af

1. (18 pts)The mother of a 17 year old girl brings her daughter to the doctor after she experiences a number of fainting spells and lethargy. The mother states that her daughter e…

1. (18.29) An anthropologist claims that color blindness is less common in socie

1. (18.29) An anthropologist claims that color blindness is less common in societies that live by hunting and gathering than in settled agricultural societies. He tests a number o…

1. (2 point )Create a multiple choice question that you think might be on an exa

1. (2 point )Create a multiple choice question that you think might be on an exam. Please make up a problem related to material from the following lectures: Lecture 9 (Section 4.3…

1. (2 point) Calculate the correlation coefficient r. This table is intended to

1. (2 point) Calculate the correlation coefficient r. This table is intended to help you set up the calculation for the correlation coefficient by hand. Please show work. I would …

1. (2 point) Calculate the correlation coefficient r. This table is intended to

1. (2 point) Calculate the correlation coefficient r. This table is intended to help you set up the calculation for the correlation coefficient by hand. Please show work. I would …

1. (2 points) Create a multiple choice question that you think might be on an ex

1. (2 points) Create a multiple choice question that you think might be on an exam. Please make up a problem related to material from the following lectures: Lecture 9 (Section 4.…

1. (2 points) Find an equation for the line whose graph is given below 2. (2 poi

1. (2 points) Find an equation for the line whose graph is given below 2. (2 points) Find the equation of the line through (-3, -5) with slope 3. (2 points) Find the slope and y-i…

1. (2-87) The analysis of shafts for a compressor is summarized by conformance t

1. (2-87) The analysis of shafts for a compressor is summarized by conformance to specifications: Roundness Conforms No Yes Surface Finish Yes 345 12 Conforms No (a) If a shaft is…

1. (2.2) A fair coin is flipped three times (the flips are independent). a. What

1.      (2.2) A fair coin is flipped three times (the flips are independent). a.       What is the probability the first flip is a head given the second flip is a head? b.      Wh…

1. (2.2) A fair coin is flipped three times (the flips are independent). a. What

1.      (2.2) A fair coin is flipped three times (the flips are independent). a.       What is the probability the first flip is a head given the second flip is a head? b.      Wh…

1. (20 Pts) Concepts (a) 5 pts) In the context of the OLS inodel explain the dif

1. (20 Pts) Concepts (a) 5 pts) In the context of the OLS inodel explain the difference between and , between the residual E, and the regression error, Ei; and between the OLS pre…

1. (20 points) An educational psychologist was interested in the application of

1. (20 points) An educational psychologist was interested in the application of state dependent learning. She taught a particularly challenging topic to her small class of 42 stud…

1. (20 points) An educational psychologist was interested in the application of

1. (20 points) An educational psychologist was interested in the application of state dependent learning. She taught a particularly challenging topic to her small class of 42 stud…

1. (20 points) In each one-second interval at a convenience store, a new custome

1. (20 points) In each one-second interval at a convenience store, a new customer arrives with probability p, independent of the number of customers in the store and other arrival…

1. (20 points) Recall the objective function for linear regression can be expres

1. (20 points) Recall the objective function for linear regression can be expressed as as in (3.3) of LFD. Minimizing this function with respect to w leads to the optimal w as (XT…

1. (20 points) Recall the objective function for linear regression can be expres

1. (20 points) Recall the objective function for linear regression can be expressed as as in (3.3) of LFD. Minimizing this function with respect to w leads to the optimal w as (XT…