Work out the circumference of a circle with diameter 1.8cm.
2 answers:
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Answer:
Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's
Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's
Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters
Part D) The cost is $90
Step-by-step explanation:
Let
x-------> the number of hours (independent variable)
y-----> the total cost of rent scooters (dependent variable)
we know that
Sam's scooters
Rosie's scooters
using a graphing tool
see the attached figure
A. when does it make more sense to rent a scooter from Rosie's? How do you know?
For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's (see the attached figure) because the cost in less than Sam' scooters
B. when does it make more sense to rent a scooter from Sam's? How do you know?
For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's (see the attached figure) because the cost in less than Rosie' scooters
C. Is there ever a time where it wouldn't matter which store to choose?
Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)
D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?
Rosie's scooters
For x=7 hours
substitute
The cost is $90
Using a discrete probability distribution, it is found that:
a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
c) The expected value is of 1.3 lawns mowed on a randomly selected day.
<h3>What is the discrete probability distribution?</h3>Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:
- P(X = 0) = 0.2.
- P(X = 1) = 0.4.
- P(X = 2) = 0.3.
- P(X = 3) = 0.1.
Item a:
P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
Item b:
There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
Item c:
The expected value of a discrete distribution is given by the <u>sum of each value multiplied by it's respective probability</u>, hence:
E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.
The expected value is of 1.3 lawns mowed on a randomly selected day.
More can be learned about discrete probability distributions at brainly.com/question/24855677