Stats HW8

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The resistance, R, of a conductor is directly proportional to its length, 7. If the resistance. of 3.80 km of a certain transmission line is 121 ohms, find the resistance of 74.9 km of that line. Round your answer to 3 significant digits. Ω

. If sec β = –2, find csc (? −?/2).

The length of a component is to be estimated through repeated measurement. Ten independent measurements are made with an instrument whose uncertainty is 0.05 a. mm. Let denote the average of these measurements. Find the uncertainty in 7. b. A new measuring device, whose uncertainty is only 0.02 mm, becomes available. Five independent measurements are made with this device. Let y denote the average of these measurements. Find the uncertainty in y. In order to decrease the uncertainty still further, it is decided to combine the estimates X and y. One engineer suggests estimating the length with (1/2)X + (1/2)Y. A second engineer argues that since X is base don 10 measurements, while y is based on only five, a better estimate is (10/15)X+ (5/15)F. Find the uncertainty in each of these C. estimates. Which is smaller? Find the value c such that the weighted average c + (1- c)Y has minimum uncertainty. Find the uncertainty in this weighted average. d.

4. The amount of airborne particulate pollution p from a power plant depends on the wind speed s, among other things, with the relationship between p and s approximated by p = 25 – 0.01s2 a) Find the value(s) of s that will make p = 0. | %3D b) What value of s from part (a) makes sense in the context of this application? What does p = 0 mean in this application? %3D

16. Suppose that P(E)=0.35, P(F)=0.67, P(EUF)=0.86. Find the following: %3D A. P(EnF) D. P{E nF} B. P(EUF) E. P(EUF) F. P(E*UF°} C. P(EnF")

5.1: 17) Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table. Estimate the distance traveled by the vehicle during this 66-second period using L6, R6 and M3. L6= ? Feet R6= ? Feet M3=? Feet

9:18 9 5GE x A Classes web.kamihq.com/web/viewer.html?state=%7B" | Maya Paniagua - CI. Geometry 202. Maya Paniag 13. Solve for X. B A (5x + 14)° (3x + 8) 109

2. Prove: cot?x - csc?x = -1 %3D