Worried that she would be late to an early morning exam, a student set TWO alarm clocks. Suppose Alarm Clock 1 is 60% reliable, meaning it will wake her up 6 times out of 10. Suppose Alarm Clock 2 is 90% reliable. What is the chance at least one of the alarms will wake her up? (a) .96 (b) .90 (c) .75 (d) .54

A. 0.96

Step-by-step explanation:

To find the probability of atleast one waking her; P(at least one) = 1 - P (none)

P of alarm clock 1 is reliable = 0.60

P of alarm clock 1 not reliable = 0.40

P of alarm clock 2 is reliable = 0.90

P of alarm clock 2 not reliable = 0.10

0.06 + 0.36 + 0.54 = 0.96

CHECK THE ATTACHED PICTURE TO SEE DETAILED SOLUTION TO THE ANSWER.

(c)

Step-by-step explanation: Given that,

are two points contained in the function. Since it is a direct variation function, so it is a straight line passing through the given points.

Let,

So, slope of the line is given by

The equation of the line or the function is

Thus, (c)   is the correct option.