x 2.6 4.1 3.3 4.5 2.6 3.2 3.4 y 5.0 10.0 11.2 10.0 7.9 3.9 5.5 verify that Σx = 23.7, Σx2 = 83.27, Σy = 53.5, Σy2 = 458.31 and Σxy = 187.68. Compute r
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| x | 2.6 | 4.1 | 3.3 | 4.5 | 2.6 | 3.2 | 3.4 |
| y | 5.0 | 10.0 | 11.2 | 10.0 | 7.9 | 3.9 | 5.5 |
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.For b there are two cases and for c I have to plug the initial data into the odeSuppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 8, x = 114.6, s1 = 5.03, n = 8, y = 129.3, and s2 = 5.38. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) ,
- The analysis of tooth shrinkage byC. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuing to decrease and that the evolutionary process has not yetcome to a halt. In northern Europeans, for example, tooth sizereduction now has a rate of 1% per 1000 years.a. If t represents time in years and y represents tooth size, usethe condition that y = 0.99y0 when t = 1000 to find thevalue of k in the equation y = y0ekt. Then use this value of kto answer the following questions.b. In about how many years will human teeth be 90% of theirpresent size?c. What will be our descendants’ tooth size 20,000 years fromnow (as a percentage of our present tooth size)?The following table represents the prices of copper futures (in USD) from theperiod of time from 14.06.2020 to 06.06.2021, where t is time since 14.06.2020 (measured in weeks) and f(t) is the corresponding price: t f(t) 0 2.6655 1 2.7120 2 2.7800 3 2.9255 4 2.9355 5 2.9220 6 2.9110 7 2.8445 8 2.9070 t f(t) 9 2.9570 10 3.0365 11 3.0810 12 3.0590 13 3.1215 14 2.9785 15 2.9900 16 3.0800 17 3.0720 t f(t) 18 3.1305 19 3.0565 20 3.1635 21 3.1890 22 3.3125 23 3.4210 24 3.5285 25 3.5340 26 3.6370 t f(t) 27 3.5675 28 3.5240 29 3.6800 30 3.6070 31 3.6315 32 3.5565 33 3.6265 34 3.7885 35 4.0775 t f(t) 36 4.0925 37 4.0755 38 4.1400 39 4.1130 40 4.0680 41 3.9905 42 4.0400 43 4.1680 44 4.3360 t f(t) 45 4.4680 46 4.7485 47 4.6545 48 4.4810 49 4.6775 50 4.5290 51 4.5375 Let L(x) be the third Lagrange polynomial for the function f(x) with the nodes X0 = 0, x1 =…Show that, as n → ∞, n^4/3^n → 0 linearly with rate 1/3..
- Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnYFind the net change in ve]locity over [1, 4] of an object with a(t) = 8t − t2 m/s2.The analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is con-tinuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. a. If t represents time in years and y represents tooth size, use the condition that y = 0.99y0 when t = 1000 to find the value of k in the equation y = y0 ekt. Then use this value of k to answer the following questions. b. In about how many years will human teeth be 90% of their present size? c. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?
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