There are two competing designs for a certain semiconductor circuit. The lifetime of the first (in hours) is exponentially distributed with λ = 10−4 , and the lifetime of the second is lognormally distributed with μ = 6 and σ2 = 5.4. a. Use a simulated sample of size 1000 to estimate the probability that a circuit with the first design lasts longer than one with the second design.?

Part a: solve –mk – 120 > 95 for m. show your work. (4 points) part b: solve 2c – 9f = 45 for f. show your work. (6 points)

Colby and jaquan are growing bacteria in an experiment in a laboratory. colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. jaquan starts with 80 of a different type of bacteria that doubles every 3 hours. let x equal number of days. colbys experiment follows the model: a.) y=50*2^x b.) y=50*2^8x c.) y=50*2^12x jaquans experiment follows the model: a.)80*2^x b.)80*2^8x c.)80*2^12x

What is the relationship between all triangles that can be drawn given the same three angles