Answer:
see below
Step-by-step explanation:
first flip x and y and solve for y
write new equation as x =-3(y+6) distribute
x = -3y -18 add 18 on both sides
x +18 = -3y divide by -3
(-1/3) x -6 or (x +18)/-3 or 
The x values move right 3, so (x+3).
The y values move down 5, so (y-5)
Answer:
The probability that Aaron goes to the gym on exactly one of the two days is 0.74
Step-by-step explanation:
Let P(Aaron goes to the gym on exactly one of the two days) be the probability that Aaron goes to the gym on exactly one of the two days.
Then
P(Aaron goes to the gym on exactly one of the two days) =
P(Aaron goes to the gym on Saturday and doesn't go on Sunday) +
P(Aaron doesn't go to the gym on Saturday and goes on Sunday)
- If Aaron goes to the gym on Saturday the probability that he goes on Sunday is 0.3. Then If Aaron goes to the gym on Saturday the probability that he does not go on Sunday is 1-0.3 =0.7
- Since the probability that Aaron goes to the gym on Saturday is 0.8,
P(Aaron goes to the gym on Saturday and doesn't go on Sunday) =
P(the probability that Aaron goes to the gym on Saturday)×P(If Aaron goes to the gym on Saturday the probability that he does not go on Sunday)
=0.8×0.7=0.56
- The probability that Aaron doesn't go to the gym on Saturday is 1-0.8=0.2
- And if Aaron does not go to the gym on Saturday the probability he goes on Sunday is 0.9.
Thus, P(Aaron doesn't go to the gym on Saturday and goes on Sunday) = P(The probability that Aaron doesn't go to the gym on Saturday)×P(if Aaron does not go to the gym on Saturday the probability he goes on Sunday)
=0.2×0.9=0.18
Then
P(Aaron goes to the gym on exactly one of the two days) =0.56 + 0.18 =0.74
Answer: See explanation
Step-by-step explanation:
Cluster sampling, is a form of sampling whereby the population is divided by the researchers into smaller groups that are referred to as clusters and then the sample will be taken from the clusters formed.
Convenience sampling is when a sample is drawn based on the available population.
Systematic sampling is when a sample is gotten when the members are taken at regular intervals e.g 5th person, 12th items etc.
Simple random sampling is when the sample is selected from the larger population and in this case, every member involved can be selected as they all have an equal chance.
Based in the definition above, the answers will be:
a. Cluster sample
b. Convenience sample
c. Systematic sample
d. Simple random sample
Answer:
1/25
Step-by-step explanation:
There are five students. They all have a 1/5 chance. You have to include the chance of all five students, so each student has a 1/25 chance.
