<u>Answer:</u>
<u>No, this is not a rational number.</u>
This is an irrational number because it's not rational. There isn't a possible ratio for that number.
Amy's average speed during her whole journey from London to Newcastle (300 miles) was 51.422 miles per hour.
<h3>How to calculate the average speed?</h3>
This is calculated by taking the total distance and dividing it into the total time.
<h3>What was Amy's average speed?</h3>
First part of ther journey: 165 miles at 60mph, which is equal to 2.75 hours
- Time: distance/speed
- Time: 165 miles/ 60 mph= 2.75 hours
Second part of her journey: 135 miles in 3.083 hours (3 hours and 5 minutes)
- Total distance: 300 miles
- Total time: 2.75 hours + 3.084 = 5.834
Average speed: 300 miles / 5.834 = 51.422 miles per hour
Learn more about average speed in: brainly.com/question/12322912
Here is the answer to you question.
Answer:
In this case we use the Poisson distribution because we are talking about the occurrence of an event (number of tracks) over a specified interval (in this case an area interval).
The probability of the event occurring x times over an interval is:
P(x) = nˣ × e⁻ⁿ ÷ x!
where n is the mean.
a) P(7) = 6⁷ × e⁻⁶ ÷ 7! = 0.1376
b) P(x ≥ 3) = 1 - P(x < 3) = 1 - P(2) - P(1) - P(0)
P(2) = 6² × e⁻⁶ ÷ 2! = 0.0446
P(1) = 6¹ × e⁻⁶ ÷ 1! = 0.0149
P(0) = 6⁰ × e⁻⁶ ÷ 0! = 0.0025
P(x ≥ 3) = 0.9380
c) P(2 < x < 7) = P(3) + P(4) + P(5) + P(6) = 0.0892 + 0.1339 + 0.1606 + 0.1606 = 0.5443
d) The mean is going to be 6.
e) The standard deviation is √n = √6 = 2.4
