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college mathematics for business

Questions and Answers of College Mathematics For Business

Problem refer to the following transition matrix P and its powers:Find the probability of going from state B to state B in three trials. А В А 43 р2 — в .25 37 A B A C A.6 .3 P = B.2 .5
An auto insurance company classifies its customers in three categories: poor, satisfactory, and preferred. Each year, 40% of those in the poor category are moved to satisfactory, and 20% of those in
A given plant species has red, pink, or white flowers according to the genotypes RR, RW, and WW, respectively. If each of these genotypes is crossed with a pink-flowering plant (genotype RW), then
Problem refer to the following transition matrix P and its powers:Find S2 for S0 = [1 0 0] and explain what it represents. А В А 43 р2 — в .25 37 A B A C A.6 .3 P = B.2 .5
A credit union classifies car loans into one of four categories: the loan has been paid in full (F), the account is in good standing (G) with all payments up to date, the account is in arrears (A)
A new rapid transit system has just started operating. In the first month of operation, it is found that 25% of commuters are using the system, while 75% still travel by car. The following transition
Problem refer to the following transition matrix P and its powers:Find S3 for S0 = [0 0 1] and explain what it represents. А В А 43 р2 — в .25 37 A B A C A.6 .3 P = B.2 .5
A rat is placed in room F or room B of the maze shown in the figure. The rat wanders from room to room until it enters one of the rooms containing food, L or R.Assume that the rat chooses an exit
Three electronics firms are aggressively marketing their graphing calculators to high school and college mathematics departments by offering volume discounts, complimentary display equipment, and
Problem refer to the following transition matrix P and its powers:Using a graphing calculator to compute powers of P, find the smallest positive integer n such that the corresponding entries in Pn
Problem refer to the following transition matrix P and its powers:Using a graphing calculator to compute powers of P, find the smallest positive integer n such that the corresponding entries in Pn
In Problem given the transition matrix P and initial-state matrix S0, find P4 and use P4 to find S4. A B C A 0 4 P = B0 0 .6 1; So = [.2 .3 .5] C 1
After bypass surgery, patients are placed in an intensive care unit (ICU) until their condition stabilizes. Then they are transferred to a cardiac care ward (CCW), where they remain until they are
In Problem given the transition matrix P and initial-state matrix S0, find P4 and use P4 to find S4. А В A[.1 В L.6 .4. .9 So = [.8 2] P =
A Markov chain with two states has transition matrix P. If the initial-state matrix is S0 = [1 0], discuss the relationship between the entries in the kth-state matrix and the entries in the kth
An outdoor restaurant in a summer resort closes only on rainy days. From past records, it is found that from May through September, when it rains one day, the probability of rain for the next day is
A television advertising campaign is conducted during the football season to promote a well-known brand X shaving cream. For each of several weeks, a survey is made, and it is found that each week,
A car rental agency has facilities at both JFK and LaGuardia airports. Assume that a car rented at either airport must be returned to one or the other airport. If a car is rented at LaGuardia, the
In a given city, the market for homeowner’s insurance is dominated by two companies: National Property and United Family. Currently, National Property insures 50% of homes in the city, United
A chain of travel agencies maintains a training program for new travel agents. Initially, all new employees are classified as beginning agents requiring extensive supervision. Every 6 months, the
In Problem replace each question mark with an appropriate expression that will illustrate the use of the indicated real number property.Associative property ( . ): x(yz) = ?
Problem refer to the following polynomials:What is the degree of (C)? (А) 2х - 3 (В) 2x? - х + 2 (С) х3 + 2х?- х+3
A midwestern university offers its employees three choices for health care: a clinic-based health maintenance organization (HMO), a preferred provider organization (PPO), and a traditional
In Problem replace each question mark with an appropriate expression that will illustrate the use of the indicated real number property.Commutative property ( . ): uv = ?
In Problem perform the indicated operations and reduce answers to lowest terms. 5.9.13 3.5.7
In Problem simplify and express answers using positive exponents only. Variables are restricted to avoid division by 0.2x-9
In Problem factor out all factors common to all terms.6m4 - 9m3 - 3m2
Change each expression in Problem to radical form. Do not simplify.6x3/5
Problem refer to the following polynomials:What is the degree of (A)? (А) 2х - 3 (В) 2x? - х + 2 (С) х3 + 2х?- х+3
Solve Problem by the square-root method.2x2 - 22 = 0
In Problem replace each question mark with an appropriate expression that will illustrate the use of the indicated real number property.Commutative property ( + ): x + 7 = ?
In Problem simplify and express answers using positive exponents only. Variables are restricted to avoid division by 0.3y-5
In Problem perform the indicated operations and reduce answers to lowest terms. 10.9. 8 3.2.1
In Problem factor out all factors common to all terms.6x4 - 8x3 - 2x2
Change each expression in Problem to radical form. Do not simplify.7y2/5
Problem refer to the following polynomials:Add (B) and (C). (А) 2х - 3 (В) 2x? - х + 2 (С) х3 + 2х?- х+3
In Problem simplify and express answers using positive exponents only. Variables are restricted to avoid division by 0. 3 2w-7
Solve Problem by the square-root method.3m2 - 21 = 0
In Problem perform the indicated operations and reduce answers to lowest terms. 12·11· 10. 9 4.3.2.1
In Problem replace each question mark with an appropriate expression that will illustrate the use of the indicated real number property.Associative property ( + ): 3 + (7 + y) = ?
In Problem factor out all factors common to all terms.8u3v - 6u2v2 + 4uv3
Change each expression in Problem to radical form. Do not simplify.(32x2y3)3/5
In Problem simplify and express answers using positive exponents only. Variables are restricted to avoid division by 0. 4x
Solve Problem by the square-root method.(3x - 1)2 = 25
Problem refer to the following polynomials:Add (A) and (B). (А) 2х - 3 (В) 2x? - х + 2 (С) х3 + 2х?- х+3
Solve Problem by the square-root method.(2x + 1)2 = 16
In Problem perform the indicated operations and reduce answers to lowest terms. 15· 10:5 20 15 10
In Problem factor out all factors common to all terms.10x3y + 20x2y2 - 15xy3
Change each expression in Problem to radical form. Do not simplify.(7x2y)5/7
Solve Problem by factoring.2u2 - 8u - 24 = 0
Problem refer to the following polynomials:Subtract (B) from (C). (А) 2х - 3 (В) 2x? - х + 2 (С) х3 + 2х?- х+3
In Problem perform the indicated operations and reduce answers to lowest terms. d? a За ба? 4а3
In Problem replace each question mark with an appropriate expression that will illustrate the use of the indicated real number property.Identity property ( . ): 1(u + v) = ?
In Problem simplify and express answers using positive exponents only. Variables are restricted to avoid division by 0.2x-8x5
In Problem factor out all factors common to all terms.7m(2m - 3) + 5(2m - 3)
In Problem perform the indicated operations and reduce answers to lowest terms. x2 1 12 18 30
Change each expression in Problem to radical form. Do not simplify.(x2 + y2)1/2
Problem refer to the following polynomials:Subtract (A) from (B). (А) 2х - 3 (В) 2x? - х + 2 (С) х3 + 2х?- х+3
In Problem replace each question mark with an appropriate expression that will illustrate the use of the indicated real number property.Identity property ( + ): 0 + 9m = ?
In Problem simplify and express answers using positive exponents only. Variables are restricted to avoid division by 0.3c-9c4
In Problem perform the indicated operations and reduce answers to lowest terms. d? a За 6a? 4d
In Problem simplify and express answers using positive exponents only. Variables are restricted to avoid division by 0. 8- -3 w
In Problem factor out all factors common to all terms.5x(x + 1) - 3(x + 1)
Problem refer to the following polynomials:Multiply (B) and (C). (А) 2х - 3 (В) 2x? - х + 2 (С) х3 + 2х?- х+3
Change each expression in Problem to radical form. Do not simplify.x1/2 + y1/2
Solve Problem by factoring.x2 = 2x
Change each expression in Problem to rational exponent form. Do not simplify.
In Problem factor out all factors common to all terms.4ab(2c + d) - (2c + d)
Problem refer to the following polynomials:Multiply (A) and (C). (А) 2х - 3 (В) 2x? - х + 2 (С) х3 + 2х?- х+3
In Problem simplify and express answers using positive exponents only. Variables are restricted to avoid division by 0. -11 -5 m
Change each expression in Problem to rational exponent form. Do not simplify. 7m Vn
In Problem perform the indicated operations and reduce answers to lowest terms. 4m 3 3 2m – 1 18m 4m 6m2
In Problem simplify and express answers using positive exponents only. Variables are restricted to avoid division by 0. (2а 3)2 a
Change each expression in Problem to rational exponent form. Do not simplify. V(2r*y)³ 3
In Problem indicate true (T) or false (F).a + cb = a + bc
Solve Problem by using the quadratic formula.x2 - 6x - 3 = 0
In Problem indicate true (T) or false (F).5x + 7x = (5 + 7)x
In Problem factor by grouping.2x2 - x + 4x - 2
In Problem indicate true (T) or false (F).uv(w + x) = uvw + uvx
In Problem simplify and express answers using positive exponents only. Variables are restricted to avoid division by 0.7d-4d4
In Problem factor by grouping.x2 - 3x + 2x - 6
In Problem perform the indicated operations and simplify.2(x - 1) + 3(2x - 3) - (4x - 5)
Solve Problem by using the quadratic formula.3u2 + 12u + 6 = 0
In Problem indicate true (T) or false (F).-2(-a) (2x - y) = 2a(-4x + y)
In Problem factor by grouping.ac + ad + bc + bd
In Problem perform the indicated operations and simplify.(3u + 4v)2
In Problem P is a transition matrix for a Markov chain. Identify any absorbing states and classify the chain as regular, absorbing, or neither. А В A B A P = В L7 .3]
Anthropologists use an index called the cephalic index. The cephalic index C varies directly as the width W of the head and inversely as the length L of the head (both viewed from the top). In terms
In Problem find fxx (x, y), fxy (x, y), fyx (x, y), and fyy (x, y) for each function f.f(x, y) = xexy
The intelligence quotient (IQ) is defined to be the ratio of mental age (MA), as determined by certain tests, to chronological age (CA), multiplied by 100. Stated as an equation,whereQ = IQ M = MA C
The force F of attraction between two masses m1 and m2 at distance r is given by Newton’s law of universal gravitationwhere G is a constant. Evaluate F(50, 100, 20) and F(50, 100, 40). F(m1, m2, r)
ForP(x, y) = -x2 + 2xy - 2y2 - 4x + 12y - 5find all values of x and y such thatPx (x, y) = 0 and Py (x, y) = 0simultaneously.
ForC(x, y) = 2x2 + 2xy + 3y2 - 16x - 18y + 54find all values of x and y such thatCx (x, y) = 0 and Cy (x, y) = 0simultaneously.
For f(x, y) = x2 + 2y2, find f(x + h, y) - f(x, y) (A) lim h f(x, y + k) - f(x, y) (B) 0 k
ForF(x, y) = x3 - 2x2y2 - 2x - 4y + 10find all values of x and y such thatFx (x, y) = 0 and Fy (x, y) = 0simultaneously.
ForG(x, y) = x2 ln y - 3x - 2y + 1find all values of x and y such thatGx (x, y) = 0 and Gy (x, y) = 0simultaneously.
Let f(x, y) = 4 - x4y + 3xy2 + y5.(A) Use graphical approximation methods to find c (to three decimal places) such that f (c, 2) is the maximum value of f (x, y) when y = 2.(B) Find fx (c, 2)
A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue and cost functions (in dollars) areR(x, y) = 80x + 90y + 0.04xy - 0.05x2 - 0.05y2C(x, y) = 8x + 6y
Anthropologists use the cephalic index C, which varies directly as the width W of the head and inversely as the length L of the head (both viewed from the top). In terms of an equation,whereW = width
In Problem without using a calculator, find P100.

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