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Basic Algebra

Probability and Odds: Children, Coin Tossings, Snapdragon Offspring color

Please see attached file for full problem description. I need help on these few problems.They include indicating the probabilities and odds that a given family will have boys or girls, the odds of getting heads or tails in a coin toss, and the possible colors of the offspring of snapdragon flowers.

Computing Probability and Odds

Three coins are tossed. Using H to indicate heads and T to indicate tails, give the following. (To indicate that the first coin is tails, the second coin is tails, and the third coin is heads enter TTH. Express the answer as a comma-separated list.) a. the sample space S b. the event E that exactly two are heads c. the e

Finding the Probability and Odds

A jar on your desk contains fourteen black, six red, twelve yellow, and three green jellybeans. You pick a jellybean without looking. a. Find the probability that it is red or yellow. b. Find the probability that it is not red. c. Find the odds of picking a black jellybean. Write the final answer as a reduced fraction in

Adding, subtracting, multiplying negative and positive numbers

Need help to verify if the answers are correct. I get really confused with this stuff. Sometimes I can't remember the correct sign to use(positive or negative). Please provide step by step instructions so that I am able to better understand how to solve the problems. Find the sum: 1. -2 + (-3) = -5 2. 8 - 7 + = 5 3.

Making Uncertainty Decisions Using Different Driteria

The expected savings in equipment maintenance costs for three different policies of preventive maintenance (PM1, PM2, and PM3) and three levels of operation of the equipment are shown: Operation Level 1 Operation Level 2 Operation Level 3 PM1 \$60,000 \$75,000

Annual Equivalent Cost; Oven Case Study

Synta Manufacturing Company is considering purchase of new oven to dry its painted optical tube assemblies. Alternative 1: Conventional oven will cost \$100,000 and can be expected to last 5 years, with a salvage value of \$10,000. Operating costs will be \$24,000 per year. • Alternative 2: Convection oven will cost \$140,

Adding and Subtracting More Than Two Integers

For problems 1-4, I need you to make sure the answers are correct. If the problem is incorrect, please provide a step by step solution. 1. 27 -31 = -4 2. -22 + (-34) = -56 3. -35+ 67 = +22 4. -47 -33 +25 = -55 For problems 5 and six I am not sure if I have interpreted the answers correctly. Please with the in

Solving quadratic equations and systems of linear equations

Solve: (y - 3/4)^2 = 17/16 Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula. 1/x + 1/x+6 = 1/5 A merchant has two kinds of paint. If 9 gal of the inexpensive paint is mixed with 7 gal of the expensive paint, the mixture will be worth \$19.70 per gallon. If 3 gal of the ine

Calculating the results of a sealed bid auction

The Center City Anuraphilic (frog lovers) society has fallen on hard times. Abraham, Bobby and Charlene are the only remaining members and each feels equally entitled to take possession of the society's collection of live rare tropical frogs. The decision is made to use the method of sealed bids and fair shares to decide who wil

Calculate the efficiency of sewage treatment

A sewage treatment plant influent has a BOD5 value of 310 mg/L. What efficiency must the treatment plant have in order to meet the NPDES BOD5 requirement of less than 30 mg/L? Will this sewage treatment plant need a tertiary treatment stage?

Adding with Negative and Positive Numbers.

How to add negative and positive numbers? Explanation on absolute value. Example of adding two positive numbers, two negative numbers, and two numbers with opposite signs. Example 1: 9 + 5 Example 2: -10 + (-6) Example 3: -8 + 4 Example 4: 8 +(-4)

Solving an equation using quadratic formula

(see attached for full problem description) (a) Use the quadratic formula to determine, to the nearest tenth, the roots of the equation: 2x^2 + 1 = -4x. (b) Determine the vertex of the parabola y = 2x^2 + 4x + 1. (recall the x value of the vertex is given by x = -b/2a) (c) Use parts a and b to sketch the grap

Finding Measurements of Cylindrical Objects

XYZ University sends out its diplomas in a diploma mailer that's in the shape of a right circular cylinder. The ratio of the height of the mailer to the radius of its base is 5, and the total surface area of the mailer (lateral surface area, plus the areas of the top and the base) is 96 square inches. Find the height of the mail

Multiple choice questions: solving functions

1) If f(x) =√x^2-1 and g(x) = √x-1 and, which expression represents f(x)/g(x) for x>1? a) √x-1 b) 1/√x+1 c) √x d) √x+1 2) The function h(x)= 1/98x^2 describes h(x), the height of a rollercoaster track, where x is the horizontal distance in feet from the center of this section of the track. The tower that supp

Algebra Help Involving Square Roots and Complex Numbers

Could you please help me with these questions by showing you're work so that I can understand how to move forward with my assignment. 1. Solve: √y+1 - 6 =2 (Square root of y+1-6=2, only the y+6 is under the square root sign) 2. Solve the equation: √w^2-12 +7 = w+5 (Only the w^2-12 is under the square root sign) 3. Solve

Polynomials: assorted problems

(Please see the attached file for the full question detains) Please solve and explain these questions: 1, 2 , 7, 17 19 21 1. Write the polynomial in standard form, identify the degree of the polynomial, identify the leading coefficient, and then classify it according to its degree and number of teams. 2y - 3y^2 + 2y^3 + 3

Finding the maximum height

The maximum velocity of a roller coaster depends on the vertical drop from the top of the highest hill to the bottom of that hill. The formula: (see attached), gives the relationship between maximum velocity, V(h) in feet per second, and height, h in feet. 1. Identity the independent variable, dependent variable.(Must use the

Cost Benefit Model

Environmental scientists often use cost-benefit models to estimate the cost of removing a pollutant from the environment as a function of the percentage of pollutant removed. Suppose a cost benefit function for the cost C (in millions of dollars) of removing x percent of the pollutants from Maple Lake is given by C(x) = 25x/(

Business Application: Automobile Production

The table shows the retail market share of passenger cars from Ford Motor Company as a percentage of the U.S. market. (see attachment) A mathematical model for this data is given by f(x) = 0.04x2 - 0.8x + 22 where x = 0 corresponds to 1975 a. Complete the table. (see attachment) b. Use values of the modeling function, f t

Basic Algebra - Relations and functions

#28: y=-2x2+3 x y=-2x2+3 y 0 y=-2(0)2+3 3 1 y=-2(1)2+3 1 2 y=-2(2)2+3 -5 -1 y=-2(-1)2+3 1 -2 y=-2(-2)2+3 -5 • The graph of the relation is  (x)=-2x2+3. • My 5 points for this equation is as follows: (0,3) (1,1) (2,-5)

Assistance again covering quadratic equations.

Problem 2. x2 + 6x +8 = 0 (Dugopolski, p. 635, 2012). Through observation, we can see that the quadratic equation in our problem is factorable. Solution by the factoring method: x2 +6x + 8 = 0 Original equation (x + 2)(x+4) = 0 Factoring left hand side. x + 2 = 0 or x + 4 = 0 Zero Factor property will find the value o

ALGEBRA

Write using exponents. (-4)(-4) Simplify. Show your work. 5 1/3 +(-3 9/18) What type of measurement would you use to describe the amount of water a pot can hold? Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place. State whether the number 91 is prime, composite, or neither. What are the mean

Basic Algebra - Simplifying Radicals

See the attached file. Problem 66. y^1/3 y^1/3 Now we have to simplify the problem. Looking at the problem and identifying what every part of the problem is we get that "y" is the principal root and it is being raised to an nth root, the 1 in the exponent is the power and the 3 in the exponent is the root. So for my first

Algebra: Rational and Real Expressions

Attached is a discussion paper, which had two expressions that needed to be solved. I wrote only a little about real numbers. Of these numbers to the right, 2.5, 0, 1/3, -0.2121121112111..., 0.11111..., pi, 14, 14.28561,which is/are real? Can the numbers provided above also be applied in the same manner as my paper? Also,

Steps on Factoring Linear Equations

I have provided an attachment showing the two problems that I have already worked. I am looking for a sanity check to ensure the process is correct. Since doing the equations, I have two distinct questions concerning the problems. 1. Why can we not factor something like a2+b2? 2. On the second equation, not sure if I use

Conversion of sin and cosine Terms

Q1 Alternating currents i1 and i2 flowing into a circuit node are given by i1 = 0.02 sin wt i2 = 0.032 cos ( wt - π/3) Determine an expression for the output current i = i1 + i2 the form R sin (wt + α) and thus state its amplitude and phase angle

Impact of the Compounding Frequency on the Growth of Investments

Provided below is a formula that I already understand, to include finding the answer. P=A(1/(1+r)^n ) = P=(5000)(1/(1+0.08)^12 )≌1985.60 The equation and variables below is similar to the above equation, However, the A is on the sum side. Can someone show me the steps in this process. If the amount invested and th

The Slope of the Line: Parallel and Perpendicular

As I have learned about parallel and perpendicular slopes, the slope is m=rise/run. Completely understand the perpendicular with a 90 degree offset. Can someone explain, why the rise/run is the same anywhere on the straight line? Is there a mathematical argument for this? If so/not then can someone explain? Any explanation is g

Simple equation

Formulas Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment: • Read about Cowling's Rule for child sized doses of medication (number 92 on page 119 of Elementary and Intermediate Algebra). • Solve parts (a) and (b) of the

Polynomial Factorization

Can someone explain why the first two answers are the same? Can a person do the foil to get them equal? Can we also try: (a^3 - b^3)=(a-b)(a^2+ab+b^2) (a^4-b^4)= (a-b)(a^3 + a^2b + ab^2 +b^3) Can we find a^n - b^n = (a-b)(...)?