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Mathematics Questions and Answers February 22, 2023

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Use the given conditions to write an equation for each line in point-slope form. Passing through (2, -3) and perpendicular to the line whose equation is y = 1/5 x + 6. A. y + 8 = 5(x - 6) B. y - 3 = -5(x + 20) C. y + 3 = -5(x - 2) D. y - 3 = -5(x + 5)

h(t)=-16t^2+16t+6.24 determine h(0.5) determine h(0.8) give the practical meaning of h(1.3)0

Describe the following geometric transformations as a linear function of z: a) Rotation with angle pi/3 with center at the origin. b) Translation along vector (2, -1), then rotation with angle pi/2 with center at the origin. c) Rotation with angle -pi/4 with center at i + 1.

Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms to a decimal approximation, of two decimal places, for the solution. 3 2x + 3 x - 2 = 0 A. {1} B. {-2} C. {5} D. {0}

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What is the Flow Rate (cfm) given the following information Air Velocity (fpm)= 683 Work distance from exhaust opening is 18 inches Duct diameter is 8 inches

I'd; One of the researchers is interested in an 74,' confidence interval for the unknown popular- tion mcall , [. i . Find the positive z- score ! "' ; for the corresponding confidence level . ' Round your ATIGHTEr to ? decimal placesi . li . Find the lower and the upper bound of the confidence interval . ( Round Your answer to 2 decimal places )
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2.) Researchers watched groups of dolphins off the coast of Ireland in 1998 to determine what activities the dolphins partake in at certain times of the day ("Activities of dolphin, " 2013). The numbers in table #11.1.6 represent the number of groups of dolphins that were partaking in an activity at certain times of days. Is there enough evidence
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13. A refrigerator contains T apples, 4 oranges, 9 bananas, 3 pears, S peaches, 1U plums, and 4 mangos. (8 points) (i) Imagine you stick your hand in this refrigerator and pull out a piece of fruit at random. What is the probability that you will pull out a pear? (ii) What is the probability that you stick your hand in the re'igerator one time and
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............. need help with ? The accompanying tree diagram represents a two-stage experiment. (Let x = 0.7, y = 0.3, r = 0.65, s = 0.35, t = 0.5, and w = 0.5.) D A S D B W D Use the diagram to find the following probabilities. (Round your answers to three decimal places.) (a) Find P(A) . P(D | A). (b) Find P(B) . P(D | B). (c) Find P(A | D)
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Part B ~ Numeric Response 17. Lincoln stands on the top of a building and fires a gun upwards. The bullet travels according to the equation h = -16t2 + 384t + 50, where h is the height of the bullet off the ground in metres at t seconds after it was fired. a. How far is Lincoln above the ground when he shoots the gun? Bonnups eidt to groom fooddo
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Part 1. Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Use the equation below as a model: ax+b+c=d Use a constant in place of each variable a, b, c, and d. You can use positive and negative constants in your equation. Example of an extraneous solution: Part 2. Show your work in

4) pls help If 17600 dollars is invested at an interest rate of 8 percent per year, find the value of the investment at the end of 5 years for the following compounding methods. (a) Annual: Your answer is (b) Semiannual: Your answer is (c) Monthly: Your answer is (d) Daily: Your answer is (e) Continuously: Your answer is
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MULTIPLE CHOICE. . Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 4 feet longer than the length of a shelf. If 26 feet of lumber is available for the entire unit (including the shelves, but NOT
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Can some please help me find this answer 3. (6 pts! Which of the following equations does the graph represent? Show work or explanation. 3
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The graph of the quadratic function has a vertex at (-1, -2) and roots at (2, 0) & (-4, 0). Using these 3 points, what is the equation of the quadratic function in vertex form
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Find the equation of the line that passes through the point (8,-3) and is parallel to the line 6x+2y=5. Write equation in standard form, Ax+By=C, where A, B and C are integers A>0

3. 1 . 2 The lengths [ in kilometers ; of rivers on the South Island of NEW Zealand that flow to the Pacific Ocean are listed in table # 2. 1. BILEE , 19841 . Find the mean , median , and made . Table # 3. 1. B . Lengths of Rivers ( kim ! Flowing to Pacific Ocean River LENEth River LENEth " kim ! CarENCE 2019 Clutha 327 CONVEY 4B Tajeri Walau SHEE
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hi, I having trouble, please can someone help and show me? 7. The following table gives the maximum and minimum heights reached by a rider and the times at which they occurred. Height (m) 1.5 11.5 Time (s) 6 21 a) From the data above, determine the period, amplitude, phase shift and vertical displacement. b) State an equation which will give the
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Math 304 Quiz 2: Challenge 1 Let R>0 be the positive real numbers. Show multiplication, inversion, and 1 make R>0 into a vector space. (Hint define scalar multiplication by c r := r c .) 2 Let E : R R>0 be given by E(r ) := er . Show that E is a linear transformation when R>0 is considered as a vector space as in Problem (1). 1

math need help asap Find the length of each minor arc. Find the area of each sector. Use 3.14 for T. 4 In. 60 1206 yd N 180 4 cm 90 12 1
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A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a standard deviation of 87 87 minutes with a mean life of 538 538 minutes. If the claim is true, in a sample of134 134batteries, what is the probability that the mean battery life would differ from the population mean by more than17.5

The vertices of a figure are R\left(-7,-5 ight),\ S\left(-1,-2 ight),What are the coordinates of the image after the figure rotates 90 counterclockwise about the origin? Then translates 3 units left and 8 units up.

If a household appliance has a wattage of 8,013 and is in use for 3 hours, how much CO2 was produced? Round to 1 decimal. A heating pad takes 4,254 Watts during each time it is turned on. If you only use it for 43 minutes, how much CO2 was created? Round to 1 decimal. The gas tank of a 2012 Toyota Prius holds 23.6 gallons. How many pounds of

20 . The mean yearly rainfall in Sydney , Australia, is about 137 mm and the standard deviation is about 69 mm (" Annual maximums of . " 2013 ) . ASSUME rainfall is normally distributed . ( 1 ) Find the probability that the yearly rainfall is more than 240 mm . ( II ) Find the probability that the yearly rainfall is between 140 and 250 mm . ( Ill
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can someone help me on my linear project Attached is the instructions and example ,Linear ProjectlnstructionSv u x Curve-fitting Project - Linear Model (due at the end of Week 5) Instructions For this assignment, collect data exhibiting a relatively linear trend, nd the line of best fit, plot the data and the line, interpret the slope, and use the
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I need help with this problem, please!! 23. Maps A partial map of a town is drawn on a graph where units are measured in feet. Line W/. represents Main Street and line CA represents 4th Avenue. Point / represents the library, point represents the center of town, point ,/ represents the high school and point \\ represents the medical center. 500 a.
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linear algebera CHALLENGE ACTIVITY 5.7.1: Matrix representation with respect to nonstandard bases. Jump to level 1 20 1 Let T : R3 - R2 be defined by T 4x1 - 22 2 2 2 3 2 3 -1 Let B = -3 , U2 , U3 5 andc = {v = [52] .w2 = } A W N -
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Carlos takes out a loan for $10,200, at 8% ordinary interest. If the amount of interest is $244.80, what is the time period (in days) of the loan? Round any fraction to the next higher day.

On average, Mercury is about 57,000,000 km from the sun, whereas Neptune is about 4.5 109 km from the sun. What is the difference between Mercurys and Neptunes distances from the sun?

Given vectors u=(1,4,9), v= (4,4,-1) and w=(8,0,-8). Find vector P=(15,32,30) in terms of u,v,w if possible. That is finding P in terms of linear combination of U,V,W if possible.

Status Completed Attempt SCOPE GO out of 60 points Time Elapsed 40 minutes out of 50 minute s' Results Displayed Feedback, Incorrectly Answered Questions Question ! 20 Moral hazard is associated with Question ? 20 To avoid wage compression
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-7+4|3x+1|=21 please show work i really don't understand getting a weird answer

11, Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 3x ? y = ?2, and segment EH is on the 3x ? y = ?6. Which statement proves how segments FG and EH are related? a. They have opposite reciprocals slopes ofand ?3 and are, therefore, perpendicular. b. They have the same slope ofand are, therefore, parallel. c. They have
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A construction crew is lengthening a road that originally measured41 miles. The crew is adding one mile to the road each day. Let L be the length (in miles) after D days of construction. Compose an equation relating L to D . Then use this equation to find the length of the road after 24 days.

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A recipe requires 3 and 1/4 cups of milk. Ran put in 1 and 3/4 cups and emptied a container. How much more milk does he need to put in?

Start by creating two different circles: create a point, and label it A . To make the remainder of the activity easier, choose integers for the x and y coordinates of point A . Create a circle with its center at point A and with a radius of your choice.To make the remainder of the activity easier, choose an integer value for the radius. Create a

suppose we have the following implicit function:=5. Find the value of the second derivative at=1.5 (Give your answer to 2 decimal points).

Help please, the answers I am getting are wrong can someone please help. Question with last attempt is displayed for your review only The odd numbers are the numbers in the sequence 1, 3, 5, 7, 9, .... Define the sequence of S-numbers as follows: The first S-number is 1. The second S-number is the sum of the first S-number and the second odd
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P5. Do not hand in. Likely to be featured in exam. On R, which we call the ty-plane or tu-plane instead of xy-plane, a bunch of points ( 1,U1), (t2,U2), ."., (tm,Um) on the plane can be "best fit" by a straight line y(t) = at + b on the same plane when the sum of squares Z,(U; - V(t;)) is minimized over suitably chosen a, b, namely when the
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A bird species in danger of extinction has a population that is decreasing exponentially (A = A 0 e kt ). Five years ago, the population was at 1400 and today only 1000 of the birds are alive. Once the population drops below 100, he situation will be irreversible. When will this happen? According to the U. S. Bureau of the Census, in 2000 there

What are the unit of measure used for depth, list all with explanation and example sentence?

pls answer quicklyv A B A 0.4 0.6 The transition matrix for a Markov chain is shown to the right. P= B 0.1 0.9 (A) If So = 0 1 , find S2, S4, S. Can you identify a state matrix S that the matrices S seem to be approaching? (B) Repeat part (A) for So = 1 0 ]. (C) Repeat part (A) for So = 0.6 0.4 ]. (D) Find SP for any matrix S you identified in
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A local restaurant has promised to provide a combination of hamburger meal and hot dog meal at a local fundraiser. They have promised no fewer than a total of 100 meals. Their capacity is a maximum of 200 meals. The restaurant management has decided that number of hamburger meals cannot be less than the number of hotdog meals. The cost of a

If the function is one - to- one , find it's inverse . If not , write "not one - to- one ." 12 j {( x ) = x3 - 3 A ) F - 1 ( x ) = ~|X + 3 B ) Flixj = ~|x + 3\\ [ ] not a one - to - one Dj Flixj = ~`X - 3| 13 ; fixj = ~|x - 4 . x = 4 A ) F - 1 ( x ) = ~|X + + B ) F - 1 ( x ) = $ 2 + 4. x 2 0 ( ) fl ( x ) = ( x - 4 ) 2 D ) not a one - to - one Find
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Explain how fractions, decimals and percentage are related?

b) What is the marginal return (% return on an additional (1,000 of loan)
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If two lines intersect to form a Linear Pair of congruent angles then are they perpendicular?

If a cell in an Excel spreadsheet uses the following formula to determine the future value of an investment: =FV(0.0675/12, 12*25,-210) How much money in total will have been deposited into the account? (Express your answer correctly rounded to the nearest dollar

1.seven girls each have seven cats. how many legs are there in the group? please explain with all steps.

5. Let T : Pn R be defined by T(p(x)) = the sum of all the the coefficients of p(x). Show that T is a linear transformation with dim(ker T) = n and conclude that {x 1, x2 1, . . . , xn 1} is a basis of ker T

q12- looking for the answers. Safari File Edit View History Bookmarks Window Help $ 100% [27 Thu 11:39 AM Q QE . . . G coursehero.com C Course Hero Mathway | Algebra Problem Solver + Course Hero Find study resources Find Ask P 25 Earn by Study Resources v Expert Tutors Contributing v Ask another question while you wait. X A+ Ask Expert Tutors You
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You are considering investing in a security that will pay you $2,000 in 35 years. a. If the appropriate discount rate is 9 percent, what is the present value of thisinvestment? b. Assume these investments sell for $323 in return for which you receive $2,000 in 35 years. What is the rate of return investors earn on this investment if they buy it

what are the points? length and visual on graph Name = gcnarlo . . Imagine you are set designer for Universal Studios movie company. You plan movie sets using freehand sketches and your computer. In one scene. a banner will hang across a parabolic archway. To make it look interesting, you have decided to put the banner at an angle along a line
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The blue figure is a translation image of the black figure. Write a rule to describe See Problem 4. each translation. 16. 17. 18 2 2 0 19. Travel You are visiting San Francisco. From your hotel near Union Square, you See Problem 5. walk 4 blocks east and 4 blocks north to the Wells Fargo History Museum. Then you walk 5 blocks west and 3 blocks
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I must come up with a set of vectors that satisfy these conditions.. 1) Find a set of "vectors" with operations of addition and scaler multiplication defined on the set.

Graduation is 3 years away and you want to have $1450 available for a trip. If your bank is offering a 3-year CD (certificate of deposit) paying 4.1% simple interest, how much do you need to put in this CD to have the money for your trip? Question Help: D Video M Message instructor Calculator
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Please answer to this question with all steps 5 points). Let A = 2 3 2 Starting with the unit vector Xo = recursively define a sequence of vectors Xo, X1, ... and positive real numbers y1, yz,... by yk = AXk-1, Xk yk lly & l/2 k 21, where we keep four decimals to each y,. Find the smallest & such that 14 - lly#|/2)
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Please show me how to construct such H. Thanks. Given any two nonzero vectors a and y in R", construct a Householder matrix H such that Ha is a scalar multiple of y; note that if Ha = cy, then c' = xx/y y. Is the matrix unique
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Suppose the equation of line p is x=2 and The equation of line q is x=-1. What translation is equivalent to (RpRq)(triangle ABC)?

Assume that the box contains 7 balls: 2 green, 3 white, and 2 blue. Balls are drawn in succession without replacement, and their colors are noted until a green ball is drawn or two white balls are drawn. How many outcomes are there in the sample space? Please explain the steps if possible, so i can understand how its done :)

(e) Based on the reported summary statistics for AHE, 50 percent of the observations on AHE are below what value? [4 points]
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Obtaining health care under the Affordable Care Act (ACA) could cost smokers as much as 50% more than non-smokers (with all other factors being equal). Is this fair? Many say it is more than fair. Consider the fact that smoking kills 443,000 Americans each year at an annual cost to the nation of $193 billion in medical care and lost productivity.

Can anyone help me solve this problem? For any finite set (= a set containing a finite number of elements) X; let us denote by |X| the number of elements in X: Let A1; A2 and A3 be any finite sets. Show that | A1 U A2 U A3 | = | A1 | + | A2 | + | A3 | - | A1 A2 | - | A1 A3 | - | A2 A3 | + | A1 A2 A3 |.

..................... The accompanying tree diagram represents a two-stage experiment. 1/2 D A 1/9 1/2 DC 1/5 D 4/9 B 4/5 4/9 3/4 D 1/4 D' Use this diagram to find the following probabilities. (a) P(A n D) 1/18 (b) P(B n D) 5/45 X\f
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d) What would be the impact of increasing the limit on loan type A from 10% to 20%
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7. You pay $8000 for a municipal bond. When it matures after 20 years, you receive $12,500. Compute the total and annual returns
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NO.3 DESIGN AND BEHAVIOURAL SIMULATION OF A STATE MACHINE By modifying the 3-bit binary counter in the pre-lab task, design an FSM-based password unlock unit as shown in Figure 2.1 using Moore state machine. The state in the unit will move from initial state (state 0) to the final state (state 7) when correct password are keyed in correctly for
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The personnel department of Franklin National Life Insurance compiled the accompanying data regarding the income and education of its employees. Income Income $60,000 or Below Above $60,000 Nonoollege Graduate 19 10 880 College Graduate 430 780 Let A be the event that a randomly chosen employee has a college degree, and let a be the event that the
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If the function is one - to- one , find it's inverse . If not , write " not one - to- one . " 14) #1x] = 4x - 2 A ] Flixj = * *
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LB a. In tne tIrSt cell directly under tne Expenses label, calcmate the total Expenses that corresponds to the number of cars rented IN THAT ROW (NumCars) using an "IF" statement to as part of the formula to determine the value of Expenses for one vehicle. b. First, use the "IF" statement to determine the single vehicle Expenses and second, edit
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9. Two numbers have a difference of 12 and their product is a minimum. Determine the numbers A. -6 and 6 C. 6 and 18 D. 0 and 12 B. -3 and 9
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Please assist and ignore grade 8 as on the table it doesn't exits. 1 Mail all '5" 00156 B courseherocom 1 Casestudy The education department of Gauteng (EG) has to plane learners into schools. They always have a problem with grade one and grade eight learners. The}: have to place learners into the three available schools. The depart merit provides
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1. The set of all possible outcomes make up the _ of an experiment. A. What are the possible outcomes of each spin of this spinner? B. Is each outcome equally likely? How do you know? C. Of these outcomes, how many are favorable? D. What do you think are the chances of a favorable outcome on one spin? E. How many favorable outcomes do you expect
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A can of cat food, guaranteed by the manufacturer to contain at least 10 units of protein, 20 units of mineral matter, and 6 units of fat, consists of a mixture of four different ingredients. Ingredient A contains 10 units of protein, 2 units of mineral matter, and 1 2 unit of fat per 100g. Ingredient B contains 1 unit of protein, 40 units of

Find the value of x that makes XYZ~PQR No Scale Factor 3 po Find the value of x that makes AXYZ - APOR Q 20 x + 6 30 21 X 12 Z P 3(x - 2) R Your answer Pag Submit
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I'm unable to attach the small graph, but I'm working on it. a Quick Check 2: Graph by plotting points 9 Unanswered ' 3 attempts left Let x] = M -2 . Evaluate the function at the given values. Then select the appropriate graph that represents this function. a. \"3 = f The graph that represents this function is graph . (Enter A, B, C, or D.) In I c
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Make an equation to convert the temperature between Celsius and Fahrenheit. 0

find the sum of all positive integers n such that p =( n^2) /5 is prime

Let A be a 2x2 diagonal matrix, where A = [0.99 0; 0 1]. Carry out power iterations (apply power method to matrix A) starting with q 0 = [1 1] T to derive a general expression for q j.

How do I do a place value chart for this question? "Ted says that 3 tenths multiplied by 100 equals 300 thousandths. Is he correct? Use a place value chart to explain your answer." I just need to figure out how to do the place value chart and if this sentence I wrote is correct. I wrote "No, Ted is not correct. The answer is 30."

Answer the following questions. Suppose you have two student loans: $15,000 with an APR of 8% for 15 years $10,000 with an APR of 9.5% for 20 years Calculate the monthly payment for each loan individually. How much do you pay each month? How long do you have to pay that monthly amount? Over the course of each loan, how much total do you pay? How

Find the zeros of the polynomialfunction, and state the multiplicity of each. f(x)=(x+5) 3 (x2)

8. (adapted from II.2 20) In this problem we will fit a quadratic function b = 20t + Dt + Et- to measurements b = 0,3, 5,6 at times t = 0, 1, 2,3, respectively. (a) Formulate this problem as a linear squares problem min | Ax - b|, (i.e., show A, x, b). (b) Solve for the x that minimizes | Ax - bl|2. (c) Does this least squares problem have a
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The exponential function N = 1500x1.19d, where is measured in decades, gives the number d of individuals in a certain population. Find the yearly growth factor (round to the nearest thousandth)
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Calculate : 1 . Arithmetic Average Return 2 . Geometric Average Return 3 . Standard Deviation of Returns 4 . Coefficient of Variation = standard deviation / arithmetic average return 5 . Make comments on effect of portfolio diversification on average returns and riskiness ( measured by Make a comment on portfolios Coefficient of Variation
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Here are the things that are required in this project. 1. 5. Do a primitive analysis of the Sale price data. Do not use any other variables as of yet. Analyze only Sale price. Summarize the data using various measures and develop a frequency distribution. Which measure of central tendency would you use? (1-2 paragraphs) What factors influence the
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linear alkalka CHALLENGE ACTIVITY 5.6.1: Compositions of linear transformations. Jump to level 1 Let Ti : R2 -> R2 and T2 : R2 - R2 be linear transformations defined as follows. 4x1 -4x1 + 5x2. T2 2 1 = -3x1 67 - W N - 20 2 2 2. (T1 0 T2 ([+])- EX: 42 # 1 2 3 4 5 Check Next Feedback
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4. The plane area shown in the figure consists of an isosceles trapezoid (non-parallel sides equal) and a segment of a cpage If the / 1 non-parallel sides are tangent to the segment at points A and B, find the area of the composite figure. 10 points 600 A: B 5'
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On R2, which we call the ty-plane or tu-plane instead of mic-plane, a bunch of points 0 11\" 1)! (t2 '\"2)! m. (tmtum) on the plane can be "best fit" by a straight line Y\") = at + b on the same plane when the sum of 250% ' \"ting the distance " u - V " between the two U 1 wt) U 2 V02) squares is minimized over suitably chosen Cl 'b , namely when
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17 . According to an article in the American Heart Association's publication Circulation . 24%' of patients who had been hospitalized for an acute myocardial infarction did not fill their cardiac medication by the seventh day of being discharged ( Ho . Bryson & Rumsfeld , 2009 ) . Suppose there are twelve people who have been hospitalized for an
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A flowerbed is a rectangle with a semicircle at each end. The total length of the flowerbed is 50 feet and the width is 14 feet. a) Sketch the flowerbed and determine it's area. b) A gardener can plant 10 plants per square yard. How many plants should he buy for this flowerbed? c)The fertilizer he will apply should be spread at a rate of 2 kg pe .
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A population gathers plants and animals for survival. They need at least 320 units ofenergy, 300 units ofprotein, and 8 hides. One unit of plants provides 30 units ofenergy, 10 units ofprotein, and 0 hides. One animal provides 20 units ofenergy, 25 units ofprotein, and 1 hide. Only 22 units of plants and 18 animals are available. It costs 20 hours

Please help me out: Find the exponential function f(x) = Ca whose graph goes through the points (0, 5) and (2, 20). 0 = Preview C PreviewFind the exponential function f(x) = at that passes through the point (2, 36) and has a y-intercept of 1. y PreviewFind the exponential function f(x) = at that passes through the point 1 27 and has a y-intercept
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