Answer:
The probability that another accident will occur that same month = 0.44907
Step-by-step explanation:
Let consider X to be the random variable that follows an exponential distribution with a mean of 52.
The mean of the exponential distribution
Thus, the probability distribution of X is:
Suppose X represents the time interval between the accident that happened in October 1 and the following accident.
Then, the probability that another accident will occur in the same month is the same as the event that the time between the two accidents are less than 31 (given that the month of October have 31 days)
Thus, we can calculate the required probability as follows:
Thus, the probability that another accident will occur that same month = 0.44907
A proportional equation does not have a Y-intercept greater than 0.
Answer: the possible numbers of hours Susan could rent the boat is at most 5 hours
Step-by-step explanation:
Let x represent the number of hours
for which Susan could rent the boat.
The boat costs $7 per hour. This means that the cost of renting the boat for x hours is 7x.
Susan has a discount coupon for $3 off. This means that the total amount that she would pay for x hours is 7x - 3
Susan wants to rent a boat and spend at most $32. This would be expressed as
7x - 3 ≤ 32
7x ≤ 32 + 3
7x ≤ 35
x ≤ 35/7
x ≤ 5
Dr. Newton needs 5000 dollars, and 3000 dollars have already been saved. So, 2000 dollars remain.
If these 2000 dollars must be saved withint 8 months, we can divide the amount needed by the time given, to find out that Dr Newton needs to save
dollars each month.