Q: solve each equation. -2(3n - 1) + 3(n + 5) = -4(n - 4)
A: Given: The equation is -2(3n - 1) + 3(n + 5) = -4(n - 4). Calculation: The value of n can be…
Q: Solve each equation. 5x2 + 500 = 844.45
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Q: solve each equation. 25x2 + 30x + 8 = 0
A: Given: 25x2+30x+8=0 To Find: To solve the given equation
Q: solve each equation. 2 + 4/(t - 1) = 4/(t2 - t)
A: Given: 2+4t-1=4t2-t
Q: 1.) Solve each equation. а.) 4(6k - 1) -6k — 2(2 — 7k) 24m-3 b.) 5 = 5m+2
A: We can solve both the question using the properties
Q: Solve -5 + 7,I +6 = 37 for a
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Q: ()' b. 27 = 1/3
A: 27=13x Hint formula:- if ax=ay, then x=y
Q: When I think of a number, triple it, then add 3, I get 33. Form an equation and solve to find the…
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Q: solve each equation. 4/5 (a - 2) + 1/2 (a + 3) = 4
A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…
Q: solve each equation. 7/(x + 4) = 3/(x - 8)
A: Given: 7x+4=3x−8
Q: Solve for the value of "b" in the equation: * 10 = 4(3)+b
A: That's easy, just make sure that 4×3=12 And hence b will turn out to be b=-2.
Q: solve each equation. (a + 4)/4 = 3/a
A: Given: a+44=3a
Q: solve each equation. 4a(a + 1) = 3
A: Given: 4a(a + 1) = 3
Q: solve each equation. 5(2x + 1) = 4(3x - 7)
A: The equation given is : 52x+1=43x-7. Opening up the brackets, and simplifying, we have:…
Q: solve each equation. (4x + 5)/3 + (2x - 1)/5 = 2
A: we have to solve the given equation: 4x+53+2x-15=2
Q: solve each equation. 4c2 = 4/3
A: 4c2 = 4/3
Q: 1.) Solve each equation. а.) 2(х — 3) + 5(1 — х) — 2 6-5х b.) 4х+3 -2
A:
Q: 4) Solve each equation. a. 621 = 67x b. 5×+3 = C. 3x²-7 = 272x
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Q: solve each equation. 5/(2a - 1) = -6/(3a + 2)
A: Given52a-1=-63a+2To finda
Q: solve each equation. (3t - 2)/4 = (5t + 1)/5
A: 3t-24=5t+15
Q: solve each equation. 4/(5y - 3) = 2/(3y + 7)
A: To solve the equation: 45y-3=23y+7 Solution: Solving the given equation.…
Q: solve each equation. 3/n + 1/6 = 11/3n
A: Our Aim is to solve the equation given below:-3n+16=113n-(i)
Q: set up an equation and solve each problem. Find two integers whose sum is 2 and whose product is…
A: Find two integers whose sum is 2 and whose product is -48.
Q: solve each equation. |x - 3/4| = 2/3
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Q: solve each equation. 3t2 + 14t - 5 = 0
A: We have to solve the equation: 3t2+14t-5=0 Solving the equation by middle term splitting method,…
Q: Solve the equation. X 15.4 = 4.5
A: From the basic Division
Q: The quotient of four more than a number and seven is ten. give the equation and solve for x
A: Equations are formed by liking two expressions using an equality sign . In this question , we can…
Q: Solve the equation without using a calculator .
A: Given the equation is e2x+2ex-15 = 0 To solve the given equation Take u = ex ex2+2ex-15 = 0u2 + 2u -…
Q: .6= /m-3 т-3
A: Given : 6 = m-3
Q: Set up an equation and solve. A student has 8 liters of a 10% alcohol solution. How much pure…
A: Let x be the amount(in litres) pure alcohol the student should add.
Q: 4) Solve for c. a = 45 b= 85
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Q: 1 7) 2**2.2*: 64
A: The given equation, 2x+2.2x=164
Q: 30°
A: sec (angle) = hypo/ base cot(angle) = base/perpendicular use this we will calculate b and c both…
Q: Solve each equation. 0.06y + 2.63 = 2.5562
A: The given equation is a linear equation in one variable. To solve a linear equation in one variable…
Q: Set up an equation that could be used to solve for the variable. 11 60°
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Q: 13.-2-V2-а -За-2
A: Definition used- Solution of equations having variable inside square root-…
Q: solve each equation. 0.3(2t + 0.1) = 8.43
A: Given : 0.3(2t + 0.1) = 8.43 ⇒ 2t + 0.1 = 8.430.3 ⇒2t +0.1 = 28.1 ⇒2t = 28.1 - 0.1 ⇒…
Q: Solve each by setting up and solving an appropriate equation. Find three consecutive integers such…
A: Let x=smallest integerx+1=middle integerx+2=largest integer From the statement:…
Q: solve each equation. a/(a + 2) + 3/(a + 4) = 14/(a2 + 6a + 8)
A: Given, aa+2+3(a+4)=14a2+6a+8
Q: solve each equation. 3s/(s + 2) + 1 = 35/(2(3s + 1))
A: Given equation 3ss+2+1=352(3s+1) From the given equation LCD is 2(s+2)(3s+1) multiply each term by…
Q: 1.) Carrington bought a certain number of packs of gum and spent $4.70. If each pack cost $0.94, how…
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Q: solve each equation. 0.5(3t + 0.7) = 20.6
A: The given equation is, 0.53t+0.7=20.6 The objective is to solve the equation for t.
Q: solve each equation. -7(a + 4) - 3(2a - 9) = 5(3a + 11)
A: Given equation is, -7a+4-32a-9=53a+11. It is simplified as follows:…
Q: Solve the equation exactly for (0,2π)
A: Given trigonometric equation is: Simplifying the equation, Therefore,The solution to the given…
Q: 09, Bメー8
A: Given two parallel lines intersecting by a transversal line.
Q: solve each equation. -8(a + 5) = -2(4a - 3)
A: Consider the provided equation, -8a+5=-24a-3 Solve the above equation.
Q: solve each equation. 5/(7x - 3) = 3/(4x - 5)
A: We have to solve the equation: 57x-3=34x-5 Rewriting the equation, 57x-3=34x-557x-3=34x-5
Q: solve each equation. n2 - 10n = 200
A: n2-10n=200
Q: solve each equation. -3(4n + 2) + 2(n - 6) = -2(n + 1)
A: Given that : The equation is -3(4n + 2) + 2(n - 6) = -2(n + 1).
Q: Solve each equation. 0.2x2 + 1.2 = 3.4
A:
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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- A certain market has both an express checkout line and a superexpress checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of day, and let X2 denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X1 and X2 is as given in the accompanying table. x2 0 1 2 3 x1 0 0.09 0.07 0.04 0.00 1 0.05 0.15 0.05 0.04 2 0.05 0.03 0.10 0.06 3 0.01 0.02 0.04 0.07 4 0.00 0.02 0.05 0.06 (a) What is P(X1 = 1, X2 = 1), that is, the probability that there is exactly one customer in each line?P(X1 = 1, X2 = 1) = (b) What is P(X1 = X2), that is, the probability that the numbers of customers in the two lines are identical?P(X1 = X2) = (c) Let A denote the event that there are at least two more customers in one line than in the other line. Express A in terms of X1 and X2. A = {X1 ≥ 2…Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing interocular lenses used in the human eye following cataract surgery. Three hundred lenses were tumble polished using the first polishing solution, and ofthis number, 253 had no polishing-induced defects. Another 300 lenses were tumble-polishedusing the second polishing solution, and 196 lenses were satisfactory upon completion.(a) Is there any reason to believe that the two polishing solutions differ? Use α = 0.01SO what would be the L, Lq, and Wq of this problem? Assuming we are trying to develop and sovle a waiting line system that can accomodate this increased leel of passenger traffic.
- Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?A manufacturing company employs two inspecting devices to sample a fraction of their output for quality control purposes. The first inspection monitor is able to accurately detect 99.3% of the defective items it receives, whereas the second is able to do so in 99.7% of the cases. Assume that four defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Determine the following. 1) fxy(x,y) 2) fx (x)3) fY|2 4) E(x)Show all workA manufacturing company employs two inspecting devices to sample a fraction of their output for quality control purposes. The first inspection monitor is able to accurately detect 99.3% of the defective items it receives, whereas the second is able to do so in 99.7% of the cases. Assume that four defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Determine the following. 1) fxy(x,y) 2) fx (x)3) E(x)4) E(Y|X=2)5) V(Y|X=2)6) Are X and Y independent? Why?
- Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?7. Find the critical value of χ2 based on the given information. H1: σ < 0.629, n=19, and α = .025.5. A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. Here are the results. Heater Wattage Area 1 750 291 2 1,750 83 3 1,250 215 4 1,750 209 5 1,500 295 6 750 153 7 1,000 40 8 750 166 9 1,250 115 10 1,250 146 11 750 113 12 1,000 56 13 1,750 284 14 1,000 45 15 750 82 16 1,250 175 17 750 150 18 1,500 231 19 1,000 87 20 750 52 Click here for the Excel Data FileRequired:a. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.) b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.050 significance level. (Round intermediate calculations and final answer to 3 decimal places.)H0: ρ ≤ 0; H1: ρ > 0 Reject H0 if t > 1.734…
- If X1, X2, ... , Xn constitute a random sample of size n from an exponential population, show that X is a consis-tent estimator of the parameter θ.PCBs and Pelicans. Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be carcinogens and a great danger to natural ecosystems. As a result of several studies, PCB production was banned in the United States in 1979 and by the Stockholm Convention on Persistent Organic Pollutants in 2001. One study, published in 1972 by R. Risebrough, is titled “Effects of Environmental Pollutants Upon Animals Other Than Man” (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, VI, University of California Press, pp. 443–463). In that study, 60 Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs, in parts per million (ppm). The data are on the WeissStats site. a. obtain and interpret the standard error of the estimate. b. obtain a residual plot and a normal probability plot of the residuals. c. decide whether you can reasonably consider Assumptions 1–3 for regression inferences met by the two…(14t) Auburn, Inc.‘s overhead costs of $700000 consist of machining $400000; inspecting $200000; and packaging $100000. Machining works 4000 hours a year, 500 inspections occur each year, and 1000 packing order occur each year. Information on the company’s two products are as follows: Alpha Omega Machining hours 1000 3000 Inspections 100 400 Packing orders 350 650 Direct labor hours 1700 1800 How much overhead is allocated to Alpha using a single overhead rate (based on direct labor hours) and assuming ABC, respectively? $340000 and $360000 $340000 and $175000 $360000 and $175000 $360000 and $525000