5.) Matching : Match the terms at the right with the best term on the left that matches it. Secant Line B Tangent Line Slope Instantaneous Rate of Change E Speed F Average Rate of Change A 1 Ay/Ax A line through two points on the curve Slope of a Secant Line A line the goes through one point on a curve 3 4 5 Slope of a Tangent Line 6 | A distance/ A time A matches with B matches with C matches with D matches with E matches with F matches with
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- Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. Pregnancy Length in a Population of New Mothers 281241291Pregnancy length (in days) μ=268 σ=10 281<x<291 x A graph titled "Pregnancy Length in a Population of New Mothers" has a horizontal x-axis labeled "Pregnancy length (in days)" from about 233 to 303 with tick marks at 241, 281, and 291. A normal curve labeled μ = 268 σ = 10 is centered above the x-axis at 268. Two vertical line segments extend from the curve to the x-axis at 281 and 291. The area below the curve and between the two vertical line segments is shaded and labeled 281 < x < 291. The probability that the member selected at random is from the shaded area of the graph is enter your response here. (Round to four…When a certain drug is taken orally, the concentration of the drug in the patitent's blood after t minutes is given by C(t)=0.06t-0.0002t^2, where 0 is less than or equal to t less than or equal to 300 and the concentration is measured in mg/L. A) when does the maxinum occur and waht is the maxinmun concentration. B) over what time intervals was the concentration increasing and decreasing? what are the natural domain and range of the function? C) What is the average rate of change of the concectration from 0 to the t-coordinate, t^*, of the vertex and what is its interpetation?On the graph of f(x) = 4sin(5pi x), points P and Q are at consecutive lowest and highest points with P occuring before Q. How do I find the max/min and slope that passes through P and Q?
- The time it takes an employee to package the components of a certain product is normally distributed with μ = 7.5 and σ = 2.5 minutes. As an incentive, management has decided to give a bonus to the 20% of employees who took the shortest amount of time to package the components. Find the amount of time taken to package the components that will indicate that an employee should get a bonus. (Round your answer to two decimal places.) An employee must package components in a time ---Select--- more than less than minutes.Non-fulfilment of the zero-mean assumption for the disturbance term leads to the problem of _____. Select one: a. biased intercept and slope b. biased intercept c. none of the above d. biased slopeA college bookstore must order books two months before each semester starts. They believe that the number of books that will ultimately be sold for any particular course is related to the number of students registered for the course when the books are ordered. They would like to develop a bestfitting line to predict how many books to order. From past records, the bookstore obtains the number of students registered, X, and the number of books actually sold for a course, Y , for 12 different semesters.A scatterplot of the data along with the best fitting line is presented below. a. The correlation between the two variables is r = .89. Calculate and interpret the value of r2.b. The equation for the best fitting line is Y = 9.30 + 0.673X. Explain and interpret the value of 9.30.c. How many books should the store order for a class of 50 students? Would you trust this prediction?
- A contractor is planning to bid for a job of filling potholes on a given stretch of a high way. Before approaching for the bid, he decided to have an idea about the road from government agencies. Three departments public works (PW), transport (T) and traffic (Tf),as usual reported, three different average number of potholes in a one KM stretch of the high way. The constant rate of number of potholes per one KM stretch of the high way are 30, 35 and 40 respectively from PW, T and Tf. The contractor believes information from Transport department is more reliable than the other two. The chance that PW will be considered is 1/4, T will be considered is 1/2 and Tf will be considered is 1/4, by the contractor for drawing conclusion. What is the probability of finding exactly three potholes in a randomly selected 100 meter stretch?3; the slope of the secant line through the points (2, 7) and (0, 1) on the graph of f (x)1. The height of the roller coaster is increasing on the intervals 0,8 and 16,32 2. The height of the roller coaster is dereasing on the intervals 8,16 and 32,56 3. Estimate the times and values of any relative maxima or minima on the interval (0,56) At t=__?, the function has a relative minimum of__?
- A farmer wants to decide which of the three crops he should plant on his 100-acre farm. The profit from each is dependent on the rainfall during the growing seasons. The farmer has categorized the amount of rainfall as high, medium, low. His estimated profit for each is shown in the table. If the farmer wishes to plant only one crop, decide which will be his choice using the EMV rule, prove your judgement by comparing the EMV of each crop. (Indicate the EMV in each crop, comparison and the right choice).Data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 50 wines, a model was created using the percentages of alcohol to predict wine quality. The data are modeled by Yi=−0.384+0.5332Xi, where Xi is the alcohol content (%) and Yi is the rated quality of the wine. For these data, SYX=0.9431, X=10.19, and hi=0.029612 when X=11. b. Construct a 90% prediction interval of the wine quality rating of an individual wine that has 11% alcohol. enter your response here≤YX=11≤enter your response here (Type integers or decimals. Round to three decimal places as needed. Use ascending order.)Find the optimum of f(x) = 2.2x – 1.7x2 + x3 – 0.25x4 Perform: (Round-off all computed values to 4 decimal places.)a) (2 iterations) Golden-Section Search using XL = –2.4 and XU = 4.5 For each iteration, show the following: d, X1, X2, decision rule, ea, and the next XL andXU Are you approaching a local or global optimum? ____________ Are you approaching a minimum or maximum optimum? __________