Answer:
The graph is included below as an attachment.
The slope is the ratio of the change in the cost to the change of the amount of deli meat. The magnitude means that there is a change of 3.5 units in the cost per each pound of change of deli meat.
Step-by-step explanation:
The following linear equation represents the cost (), measured in dollars, as a function of the amount of deli meat (), measured in pounds:
(1)
The graph is included below as an attachment.
The slope is the ratio of the change in the cost to the change of the amount of deli meat. The magnitude means that there is a change of 3.5 units in the cost per each pound of change of deli meat.
Answer:
Multiple the original amount by the percent rate as a decimal and by the time period
Answer:
0.9999
Step-by-step explanation:
Let X be the random variable that measures the time that a switch will survive.
If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by
So, the probability that a switch fails in the first year is
Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.
Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and
where
equals combinations of 100 taken k at a time.
The probability that at most 15 fail during the first year is
6 is your answer because add everything up and suppose the x is actually a one.
The cost in dollars is given as 50 + 0.50x, so ...
f(x) = 0.50x +50
B) You want to find x for f(x) = 100. Substitute the given numbers and solve for x.
100 = 0.50x +50
50 = 0.50x
50/0.50 = x
100 = x
You drove 100 miles during the week if the cost was $100.