The voltage v in a simple electrical circuit is slowly decreasing as the battery wears out. the resistance r is slowly increase as the resistor heats up. use ohm’s law, v = ir, to find how the current i is changing at the moment when r = 400, i = 0.08 dv/dt = −0.01 and dr/dt = 0.03.

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?

What numbers are included in the set of integers? what numbers are not included?

Ftara spends $219 a month for her car payment and she makes $3,200 a month, what percent of her monthly income is spent on her car payment?