If a factory quarter panel had 15 spot welds and the recommendation was to increase the factory welds by 33 percent, how many total welds should a technician put on the replacement part?
What will be an ideal response?
20 spot welds
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The installation of lightning protection systems for structures in the open should be guided by the requirements of Master Label Service, which is endorsed by ____.
A. UL B. MET C. NSF D. TUV
A clutch-to-clutch automatic transmission, such as the Chrysler 41TE, does not use ________.
A) Sprags B) Roller clutches C) Bands D) All of the above
Steam expands in a piston-cylinder arrangement from 800 kPa to 120 kPa while the temperature remains constant at 100ºC. The entropy change is nearest:
A) 6.1 kJ/kg·K B) 6.5 kJ/kg·K C) 7.0 kJ/kg·K D) 7.3 kJ/kg·K
This exercise will lead you through a proof of Chebyshev’s inequality. Let X be a continuous random variable with probability density function f (x). Suppose that P(X < 0)=0, so f (x)=0 for x ? 0.
a. Show that 
.
b. Let k > 0 be a constant. Show that 
.
c. Use part (b) to show that 
. This is called Markov’s inequality. It is true for discrete as well as for continuous random variables.
d. Let Y be any random variable with mean µ Y and variance 
. Show that 
.
e. Let k > 0 be a constant. Show that P
.
f. Use part (e) along with Markov’s inequality to prove Chebyshev’s inequality: 