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Mathematics Questions and Answers May 24, 2023

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2.) Draw a density curve and use the calculator to determine the following. Write the calculator function. Let Z be a standard normal random variable, i.e. Z ~ N(1=0, 6=1). a. P(Z S -1.72) b. P(Z > 3.5) c. P(Z > -0.11) d. P(Z
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If P(En F) = 0.156, P(E F) = 0.24, and P( F|E) = 0.4, then (a) P(E) = (b) P(F) = (c) P( EUF) = (d) Are the events E and F independent? Enter yes or no
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Calculate the mean and the standard deviation of the sampling distribution of possible sample proportions for each combination of sample size (n) and population proportion (p). (a) n = 336, p = 0.7 mean standard deviation (b) n = 1,344, p = 0.7 mean standard deviation
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The demand function for a product under pure competition is t = 6 4 4 x , and the supply function is t = x - 1, where x is the number of units and t is in dollars. What is the producer's surplus at market equilibrium

Use a sum or difference formula determine the value of the trigonometric functions. Do not use decimal numbers. Give exact answers. The answer should be a fraction or an arithmetic expression. sin( /12 ) = cos( 17/) =

What is ellipse? Why is it important to study these lesson? Can this give us an advantage in life? How do we apply these lessons in real life situation? Please explain thoroughly. What is hyperbola? Why is it important to study these lesson? Can this give us an advantage in life? How do we apply these lessons in real life situation? Please explain

.A company's marginal cost function is MC= 94/ SQUAREROOT OF X where x is the number of units. Find the total cost of producing units 144 to 625.

the question give you that 2 is already a root, and we need to use synthetic division to find the other roots. The equation is w(x)= 3x 4 -17x 3 +30x 2 -12x-8

please help! D) Use Stoke's Theorem to calculate the circulation of the eld F = (y, x, 2) around the curve C: the triangular region formed by the intersection of the plane containing axis intercepts P(3, 0, 0), Q(0, 2, 0), and R(0, 0, 6) with the coordinate axis planes. [10 points)
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d. In many integrated circuit manufacturing steps, wafers are completely coated with a layer of material such as silicon dioxide or a metal. The unwanted material is then selectively removed by etching through a mask, thereby creating circuit pat- terns, electrical interconnects, and areas in which diffusions or metal depositions are to be made. A
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1.- Utilizando el simulador http://www.educaplus.org/play-238-Graficas-del-movimiento.html \f
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Homework: Section 7.2 Homework Question 7, 7.2.23-T HW Score: 73.03%, 8.03 of 11 points Part 1 of 2 O Points: 0 of 1 Save Listed below are student evaluation ratings of courses, where a rating of 5 is for "excellent." The ratings were obtained at one university in a state. Construct a confidence interval using a 99% confidence level. What does the
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What application would be used to find the amount of annual precipitation for Washington, D.C. that is likely to be exceeded with a probability of 0.6500? a) Poisson probability b) standard normal distribution c) mean d) mode I need typed answer with explanation

Please explain how to do the attached problem and the correct answer. \f
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please help solve A robotic machine fills containers with an acid solution at the rate of 100 + 3t milliliters (mL) per second, where t is in seconds and 0
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r ER. Solve the following equations. 3(1 - 2x) = 5r + 2(x + 10) x' + 7x = 60 x'+x+1=0 3x2 + 5x = -1 1=- 2-I r+1 -2x - 1/+5=0 |4(x - 1) +2 = -2 exercises 1(a) through 1(g), label each step where you used a property of real nur exercise 1(e), what value(s) can a NOT be? r E R. For each of the following equations, describe the solution set as best as

Hi, I need to find the statistical power for two independent groups. Here is the data: X = [5.5, 6.3, 4.8, 7.2, 5.6, 8.1, 4.4, 6.1, 5.7, 4.9, 3.8, 6.6] Y = [4.7, 5.2, 3.6, 4.1, 6.1, 5.8, 4.2, 5.3, 6.5, 4.1, 3.9, 4.4] It is a bicaudal test with an alpha of 0.05. By calculating it I get a Cohen's D of 1.794 giving me a statistical power of 0.94. Is

The following table shows the monthly sales data for a company over the last 10 months: Month Sales d 100 109 118 132 141 149 153 170 wmwmmhwn 182 E 189 a) Use exponential smoothing with alpha = 0.4 to forecast the sales for the next month. b) Provide a regression model for this question c) Calculate the MSE for both methods d) Compare the
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You are given a real number N. How should you write it as a sum of two real numbers so that their product is maximum?

find the area of the triangle ABC if A, B, and C have coordinates: A(1,0,1), B(-2,1,3), and C(4,2,5)

In a basketball game, the number of points scored by (5) members of the ABC-Team were19, 7, 30, 6, & 16. Find the Average individual score for the team

Find a solution the differential equation: " + = where this constant
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Write the equation of a parabola whose directrix isx=3.75and has a focus at(12.25,1).

Find the (1) standard deviation and (2) Z Score for each of the following heart rates. Please explain if the scores are (3) normal? (115.5)(118.5) (125.5) (120) (140). How many scores are more then (4) one deviation from the mean. This is a four part question.

7. In bacterial counts with a haemacytometer, the number of bacteria per quadrat has a Poisson distribution with probability mass function f(x), where f(x) = x e /x! and is to be estimated. If there are many bacteria in a quadrat, it is difficult to count them all, and so the only information recorded is that the number of bacteria exceeds a

j '_.J 1. Determine the general solution to the following equation where x is in degrees. Answer to the nearest degree. TicscxS = 0 O No solut'on O x = 46 360n,134 360n,n E Z O x = 80 360H,100 360n,n E Z O x = 46 360n,314 360n,n E Z 1 '_,J 2. Find the solutions to the equation Single = 25in where 0 3x 3 2E. OxZEL'? 2'2 Ox=,2_fr 3 3 Ox_4_:r_?r _ 3
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please answer the following question Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. a i n 2n Select the correct choice below and, if necessary, ll in the answer box to complete the choice. 0 A- The sequence converges to lim an = D. (Simplify your answer.) [1)00 O B. The sequence diverges
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A) Please help me in interpreting the below results based on the provided method and my hypothesis. B) What is the best way to represent the below results in 2 - 4 graphs and/ or figures to most accurately show my hypothesised interest? QUESTIONS A) Please help me in interpreting the below results based on the provided method and my hypothesis. B)
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For the following probability distribution, compute P(x 2 4). Probability Distribution 0 1 2 3 4 5 P(ac) 0.09 0.11 0.02 0. 19 0.3 0.29 Question 5 1 pts For the following probability distribution, compute P(x=2 | xz2). 0 1 2 3 4 5 P (ac) 0.30 0.26 0.08 0.11 0.03 0.22 Round your answers to 4 decimal places
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can you help me (l) (20pts) In the dead of night, Batman is running towards a lamp post in Gothaln's central park to apprehend a criminal. The lamp post is 12ft tall, and Batman is 6ft tall. If he is running at a rate of 5ft / s towards the post, What is the rate of change of the length of his shadow when he is 7ft away from the lamp post
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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 248 vinyl gloves, 61% leaked viruses. Among 248 latex gloves, 5% leaked viruses. Using the accompanying display of the technology results, and using a 0.10 significance level, test the claim that vinyl gloves have a greater virus leak

1. Does attendance affect performance in a course? This study is based on REAL data from a STAT 252 class when course delivery was entirely in person. On the day the midterm was returned in class (without any prior announcement), a large number of students were there to pick up their midterms, which is a clear indication that they were attending
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Chapter 4 Test, Form 2C 1. 10. 51: _ Change radians to degree measure. 12 . Rewrite 48 32' in decimal degree form to the nearest thousandth. . GEARS Find the angular speed of'a turning gear if88 revolutions are completed in 5 seconds. Round to the nearest tenth. . Determine the linear speed of a point rotating at an angular speed of ?n radians per
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A poll asked "Which subject did you prefer while in school, math or reading?" 500 people responded to the poll. The results are shown below. 44% Math 56% Reading a. How many people said that they preferred Math? 280 b. What is the wedge angle for the Reading wedge? Type the number without degree symbol. Keep all digits 170
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how to solve the question 4. Given the following differential equation -= x - 2y + 1. dx (a) Sketch the slope field for the differential equation at the nine indicated points on the axes provided. -19 (b) Find the second derivative, dy2 in terms of x and y. The region in the xy-plane where all the solu- tion curves to the differential equation are
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Q3. For all cases of the curve in found; explain which curve fit gives the most reliable prediction of CO2 First degree: y = 197.62x - 391522 Second degree: y = 5.3541x2 - 21209x + 2E+07 or y = 5.3541x2 - 21209x + 2(107) Third degree: y = 0.1094x3 - 650.59x2 + 1E+06x - 9E+08 or y = 0.1094x3 - 650.59x2 + 1(106)x - 9(108)

UberEats is considering a subscription service in which its customers pay a flat rate for as many food deliveries as they want during a given month. Suppose UberEats's internal costs for Delivery i (driver salary/tip, insurance, gas, etc.) is Xi , a uniform random variable on [4, 20] dollars. Let Yi be the (continuous) number of days between a

4. Briefly describe the advantages and disadvantages of using a very small step size in Euler's method. 4. Briefly describe the advantages and disadvantages of using a very small step size in Euler's method
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Discuss K-means clustering's difference with the hierarchical clustering when K = 3

Depuis le dbut du semestre vous avez vu le test z pour un chantillon, le test-t pour un chantillon, le test-t pour deux chantillons pairs et le test-t pour deux chantillons indpendants, Analyse simple de variance. Expliquez, en vos propres mots, pourquoi l'analyse de variances porte bien son nom. Un chercheur effectue des analyses statistiques

resolve and explain 3. The random variable X is normally distributed with mean 79 and variance 144. Find (a) P(X
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The total cost function for a product is C(x) = 2x^(2) + 54x + 98 How many units must be produced to maximize average cost?

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y= x^223, y=0; about the x-axis. Volume=?

please help me with this problem 5. Find the maximum and minimum values of f(x, y) = y2 - x2 subject to the constraint 1x2 + 2 = 1
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Determine the intervals on which the function is increasing or decreasing: f(x) = 3x 4 - 2x 3 - 5x 2

A ball is thrown upward from a height of 256 feet above the ground, with an initial velocity of 96 ft/sec.From physics, it is known that the velocity at time t is: v( t ) = 96 - 32 t a. Express the height h of the ball as a function of the time t (in seconds). b. How long will it take the ball to hit the ground? c. With what velocity does the rock

1. Child Care Hours The child_care_hours.csv is used to generate the ANOVA table of Ques tion 4 in Part A. The variable edu is the educational attainment of the parent, and the variable Child_care is the number of hours Chinese parents spend taking care of their children under age 6. Use Stata to perform the following tasks: (a) Generate the ANOVA
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According to the CDC, the average height of the 17 year old girl is 64.2 inches. Is there significant evidence that the height of Mrs. Anderson's female students are taller than the national average? Use a 5% significance level. Answer the questions in this format T Test for Means Conditions Variables: Random? S= 0 = Hypotheses: Approx Normal? Ho:
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Please show every step with explanations. Please also use calculus notation. Thank you in advance! 6. A function f(x) and a value of n are given. Determine a formula for Rn(x) and find a bound for | Rn(x) | on the given interval. This bound for Rn(x) | is our "guaranteed accuracy" for Pn to approximate f(x) on the given interval. (Use c = 0.) f(x)
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1. Evaluate the integral 2. Find the work 1. ( 10 points) Evaluate f 2ary + 42 - ads where C is the curve given by F(t) = 2 sin(t) 1+2 cos(t) j - 3t k, OstSa. 2. (10 points) Find the work done by the vector field F(x, y) = 4y it (x + 2y)3 in moving an object along the line segment C from P(-3, 2) to Q(1, 1)
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Find the exact or approximate (to two decimal places) value of the function. Find P(5000,10) if P(A,t) = Ae^0.08t P(5000,10) =

D Question 22 4 pts Last question :) This is worth FOUR points so please submit something even if you're not sure what to do! You'd like to see if there's a relationship between people who attend office hours or Zoom discussions and a student's math grade. You first find LMC students who took math last semester. Then you ask them if they went to
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A political campaign is interested in whether a geographic difference existed in support for raising the minimum wage in a certain state. Polls were conducted in the two largest cities in the state about raising the minimum wage. In city 1, a poll of 800 randomly selected voters found that 432 supported raising the minimum wage. In city 2, a poll

in the construction of confidence intervals of the poulation mean if all other quantities are unchanged a decarese in the sample mean would result in a decrease in the interval width result in a less precise estimate result in no change in the interval width would result in a change in the standard error of the mean

The manager of a university bookstore is trying to determine whether or not to advance purchase copies of a popular textbook. Her uncertainty is caused by the changing popularity of the course that requires the book. The table below characterizes the uncertainties as well as the present worth of her options. Future Popularity PW of Savings with of
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A 4-person work group is to be formed from a company's two offices, one in Accra and one in Bogot. Suppose that 12 employees work at the Accra office and 20 employees are at the Bogot office. (a) How many ways are there to select 3 employees from Accra and 1 employee from Bogot? ways (b) How many ways are there to select 2 employees from Accra and

You may need to use the appropriate appendix table or technology to answer this question. A department store has determined that 25%% of all their sales are credit sales, A random sample of 75 sales is selected. (Round your answers to four decimal pinces.] (a) What is the probability that the sample proportion will be greater than 0. 157 (b) what
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A public opinion poll surveyed a simple random sample of 550 voters in Oregon. The respondents were asked which political party they identified with most and were categorized by residence. Results are shown below. Decide if voting preference is independent from location of residence. Let =0.05. Republican Democrat Independent NW Oregon 85 103 22

3. The random variable X is normally distributed with mean 79 and variance 144. Find (a) P(X
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Let Z be a standard normal variable. Find the value of z if z satisfies P(Z > z ) = 0.9671. a) 1.80 b) -1.80 c) 1.82 d) -2.00 e) -1.84

The following pie chart shows the results of the survey of students that are large university, who were asked if they preferred pizza or tacos for snack the pie tart shelves. The percentages of student answered that they preferred pizza or preferred tacos according to the pie chart, what is the possible count of students who answered in each

Let f ( x ) = x 3 + 9, g ( x ) = x 2 - 8, and h ( x ) = 5 x + 5. Find the rule for the function. f - g

Find a solution the differential equation: " + = where this constant
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Anyone know the answer? A clinical study shows that Cholesterol levels of American men are normally distributed, with a mean of 215 and a standard deviation of 25. UT a. If you randomly select an American man, what is the probability that his cholesterol level is less than 165? 8 a) 16% O b) 2.5% O c) 84% O d) 68% OME 3
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Find the following integrals: a. Z (3x + 5) (2x 7) dx b. Z x^5 4x + 5x^2 e^8x / x^2 dx

A and B are the two events in S, and P(A)=0.9 and P(B)=0.6 a) Is it possible that P(A B) = . 77? Why or why not? b) What is the largest possible value for P(A B) ?

Using historical records, the personnel manager of a plant has determined the probability of X, the number of employees absent per day. It is X 0 1 2 3 4 5 6 7 P(X) 0.0041 0.0243 0.3096 0.3397 0.2196 0.0794 0.0186 0.0047 Find the following probabilities. A. P(2 : X g 5) Probability = B. P(X > 5) Probability = c.P(X
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Daylight hours on the first day of the month for a ci D ( t ) = 6 cos ( #) + 12 in + is months and t= 0 corresponds to July ist. construct a degree 2 Taylor approximation for PCt ) hear aso Calso called "at a=(" ) use your Ty lor approximation to estimate the number of daylight hours on faust ist
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Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the
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Here is the problem: 1. Imagine an innite chess board of square tiles as in the Figure below. You start with one whole piece of pie in the lower left hand corner, as you see in the rst diagram. At each stage you cut the amount of pie in half in one of the squares and distribute the two equal pieces to the squares to the immediate right and to next
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I en smnforskningsstudie deltog= 12barn. Man studerade bl.a. sambandet mellan=lder i r och=genomsnittligt antal timmars smn per natt. Vrden fr-variabeln fick man genom att observera barnen nattetid tre ntter i fljd och sedan berkna medelvrdet fr varje barn. Man fick fljande data: i= 110.4. i= 104.4 i^2= 1104.82 i^2= 914.4. i i= 938.44 a) Berkna

Let A and B be events with P (A) =0.2, P(B) =0.86, and P (B|A) = 0.7. Find P (A and B). P( A and B) X
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Question 9 Use the function st to calculate the standard deviation 5 of the values 8.699, 2.372, 4.754, 7.203, 6.873, 4.223, 8.703. Round your answer to 3 digits after the decimal point. E Question 10 Download the le classcsv (comma separated text file) and read the data into R. Then calculate the standard deviation of the variable examl using the
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Solve these Mcqs with explanation: 1.Total area of PDF is always equal to 2. No Yes Sometimes None of the above 2.Expected values is always an average value. Yes No 3. If for low values of random variable, we have low frequencies and for high values of random variable we have low frequencies; the distribution is negative skewed. No Sometime Yes

mean absolute deviation is no an option. Options are range, cariange, and interquartile

at a concession stand, the price of a hot dog is double the price of cotton candy. The price of cotton candy is half the price of a hot dog. Determine the price of a hot dog and the price of cotton candy. dont answer by pen paper and dont use AI bot

help please The ages of a group of 135 randomly selected adult females have a standard deviation of 16.4 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so let 6 = 16.4 years for the sample size calculation. How many female statistics student ages must be obtained in
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Consider the solid obtained by revolving the region bounded byx^2+(y7)^2=36 about the axis. Set up an integral for the volume with respect to x: Volume is b to a ? dx, where a = ?, and b = ? Set up an integral for the volume with respect to y: Volume is d to c ? dy, where c = ?, and d = ?

Can you identify what is wrong with this section of a SPAW Sufficient and appropriate data shall be collected in all test activities to ensure accurate determination of exit criteria compliance. Data shall be consistent with appropriate applicable standards. Maximum coordination and sharing among participating organizations shall be assured. The

4) (5) Find the points on the surface y = 9 + xz that are closest to the origin. 5) (5) Use Lagrangian multipliers to find the minimum value of w = x2 + y2 + z subjected to the condition x + y + z =1. 6) (5) Using Lagrangian multipliers find the maximum and minimum values of f(x, y) = 8x2 -Zy subjected to the constraint x2 + y2 = 1.7) (5) Compute
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You are managing an engineering development of a new engine, code named Astral. Your company is considering replacing its existing engine, the Dominion, with the Astral, if the new tests show Astral is better. Better in this case is a lower failure rate. Astral represents a leap in new technology and if the R&D is promising, you will make the
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Lab activity: Two Sample Inference for Mean Males: 7,9,5,5,5,3,5,8,5 Females: 4,3,7,4,5,3,6,7,7,7,6,8,4,5,1,6,4 Find the sample mean, SD, sample size, test statistic and p-value

Question 1 (60 points) Consider the table below that summarizes the grade performance on a recent exam for two sections of the same course. One section is offered on Mondays and the other is offered on Tuesday. The values in the table represent the number of students who made a particular grade within each section and the totals (e.g., 18 students
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Question 7 What is the simple interest rate on a $2200 investment paying $880.00 interest in 10 years? " (round to the nearest tenth of a percent) Submit
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Observations consisting of pairs of variable data are required to construct which type of chart? Question content area bottom Part 1 Doughnut chart Scatter chart Radar chart Line chart

QUESTION 11 A new drug to treat migraine headaches has been developed. If the drug can ease symptoms in an average time of 30 minutes or less, the drug will be developed. In Phase III clinical trials, n=500 patients reported relief of y = 29.5 minutes with a standard deviation of s= 8 minutes. At a 95% level of confidence, we wish to investigate
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The alternating current (AC) breakdown voltage of an insulating liquid indicates its dielectric strength. An article gave the accompanying sample observations on breakdown voltage (KV) of a particular circuit under certain conditions. 62 51 53 57 42 53 55 61 59 64 51 53 64 62 50 68 55 56 58 51 56 51 56 56 46 56 54 54 52 48 48 55 57 49 63 58 58 55
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6.What monthly payment is required to amortize a loan of $50,000 over 10 yr if interest at the rate of 15%/year is charged on the unpaid balance and interest calculations are made at the end of each month? (Round your answer to the nearest cent.)

1. Suppose an experiment consists of the following steps: Step1: Roll a coin with P(H) = 0.7 once. Step2: If coin lands H in Step 1, roll a fair six-sided die with sides {1, 2, . .., 6}, else roll an die with the following probability distribution 1 2 3 4 5 6 P(X = x) .1 .1 1 .1 1 .5 Let X be the Bernoulli random variable that tracks the outcome
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I am struggling on my math assignment and really need some help with it. I put example questions of what im working on because i want to learn it but need step by step. So i put examples so i could figure out through yalls steps my assignment without you giving me the answer. Ex 1: Given v=(6,-2), find 3v. Given v=(-10,8), find -5v. Ex 2: This

Suppose you want to test the claim that 12. Two samples are randomly selected from each population. The sample statistics are given below. At a level of significance of =0.05, when should you reject H0? n1=50, n2=60, x1=28, x2=26, 1=1.5, 2=1.9

0.9t The concentration of a drug t hours after being injected is given by O(#) - Find the time when 12 + 62 the concentration is at a maximum. Give your answer accurate to at least 2 decimal places. hours
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hy does Honolulu experience the lowest average monthly insolation

Why do managers need to know statistics? List three major reasons. Choose one question from the hypothesis testing slide to answer in detail. Choose one question from the causal relationship slide to answer in detail

2:20 I LTE A s3.us-east-1.amazonaws.com 1. Lissajous Curves Named after Jules Antoine Lissajous (1822-1880), Lissajous curves are generated by the parametric equations x = A . cos at y = B . sinbt where varying the amplitudes, A and B, and the frequencies, a and b, give a huge variety of figures. Note that the only effect of A and B is to stretch
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I dont know how to find the value of b and then use the function to find coordinates of a point 3. The function f(x) = log. (x + 2) passes through the point (14, 2). a. Determine the value of b. b. Determine the value of n if the function passes through the point (n, 3). c. Determine the value of m if the function passes through the point (6, m)
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Please help me with this asap Question 1 Not yet answer Marked out of 4 00 Mahmoud is baking cookies for a bake sale. He's makingthree kinds of cookies oatmeal raisin (OM), peanut butter (PB), and chocolate chip (CQ). He wants to make sure the three kinds of cookies are about the same weight; if a particular flavour is usually bigger or smaller
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How many different four-letter "words" can be made from the letters of the word DEMOGRAPHICS?

Bus wait times are uniformly distributed between 15 minutes and 30 minutes. The unshaded rectangle below with area 1 depicts this. The shaded rectangle depicts the probability that a randomly selected bus wait time will be between 18 and 21 minutes. 14 15 16 I7 18 19 20 2'1 22 23 24 25 26 27 28 29 30 31 Find the probability that a person waits
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