Alberto and Bianca run a 50 km race. The illustration below shows the graph of the position of the two runners as a function of time.
Complete the following sentences based on the graph of the function.

•Early in the race, ___(choose between Alberto, Bianca and nobody) runs faster.

•Alberto maintains a speed of _km/h during the first hour of the race.

•However, after one hour he gets tired and must take a break. Unfortunately, he falls asleep!

•Meanwhile, Bianca's running speed ___(choose between keeps increasing, keeps decreasing, or stays constant)

• The first person to cross the finish line is ___(choose between Alberto, Bianca or nobody)

Sara sells beaded necklaces she makes a profit of 4 dollars pn every neclace she sells which table represents the profit sara makes

What is the value of f(x) = 2.2 for f(-2)?

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?