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Olympic 5000-Meters The accompanying graph shows the winning time (in minutes) at the Olympic Games from 1952 to 2016 for the men's 5000-meterrun, together with a linear approximation of these data. (Data from: The WorldAlmanac and Book of Facts: 2017.)
The equation for the linear approximation is
Employee Health Costs In the year 2010, the average annual cost to employees for employer family health coverage was approximately $10,000. In 2015, that amount was approximately $17000. (Data from: The Wall Street Journal.)
a. Write a linear equation expressing the average annual cost to employees y in terms of the number of years x after 2000.
b. What was the average annual cost in 2012?
c. If the trend continues, what will be the first full year in which costs exceed $25,000?
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- One deck of cards is made of 4 suits (Spade, Diamond, Heart, Club) and 13 cards (A -> K), totaling 52 cards. A flush is a combination of 5 cards with the same suit. e.g. 3d 5d 9d Jd Kd A straight flush is a combination of 5 cards with the same suit, but also connected to each other. (e.g. highest straight flush is 10s Js Qs Ks As, the lowest straight flush is Ah, 2h, 3h, 4h, 5h) A straight flush is not considered a flush. Question 2 of 4 Draw random 5 cards (in one action) from the 52 cards deck, and calculate the probability of a flush. Provide the formula you used.arrow_forward2. Consider the vector force: F(x, y, z) = 2xye²i + (x²e² + y)j + (x²ye² — z)k. (A) [80%] Show that F satisfies the conditions for a conservative vector field, and find a potential function (x, y, z) for F. Remark: To find o, you must use the method explained in the lecture. (B) [20%] Use the Fundamental Theorem for Line Integrals to compute the work done by F on an object moves along any path from (0,1,2) to (2, 1, -8).arrow_forwardGame: dropping marbles from a 100-floor tower, given unlimited amount of identical marbles. if marble breaks when dropped from level X -> it breaks from all levels higher than X if marble doesn't break when dropped from level Y -> no marbles will break when dropped from level lower than Y Goal of Game: Find the highest level, from which the marbles doesn't break. Please design a testing plan to minimize the worst-case number-of-tests required to find the answer, with the constraint you can only break max 2 marbles. What is the minimum number of tests required? Explain your testing plan and how you arrived at this number.arrow_forward
- Height = 1 Width=1 How much is the shaded area in the chart above?arrow_forward(a) Given z = x + jy determine if f (z) = z4 is analytic.(b) On an Argand Diagram sketch the region |z| < 1.(c) Map the region |z| < 1 into the function plane f (z) = U + jV , defined as f (z) = z4.arrow_forwardNo chatgpt pls will upvote Already got wrong chatgpt answerarrow_forward
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