24% is the probity sorry just need points
Answer:
x = -5, y = -6, z = -3
Step-by-step explanation:
Given the system of three equations:
Write the augmented matrix for the system of equations
Find the reduced row-echelon form of the augmented matrix for the system of equations:
Thus, the system of three equations is
From the last equation:
Substitute it into the second equation:
Substitute y = -6 and z = -3 into the first equation:
A = event the person got the class they wanted
B = event the person is on the honor roll
P(A) = (number who got the class they wanted)/(number total)
P(A) = 379/500
P(A) = 0.758
There's a 75.8% chance someone will get the class they want
Let's see if being on the honor roll changes the probability we just found
So we want to compute P(A | B). If it is equal to P(A), then being on the honor roll does not change P(A).
---------------
A and B = someone got the class they want and they're on the honor roll
P(A and B) = 64/500
P(A and B) = 0.128
P(B) = 144/500
P(B) = 0.288
P(A | B) = P(A and B)/P(B)
P(A | B) = 0.128/0.288
P(A | B) = 0.44 approximately
This is what you have shown in your steps. This means if we know the person is on the honor roll, then they have a 44% chance of getting the class they want.
Those on the honor roll are at a disadvantage to getting their requested class. Perhaps the thinking is that the honor roll students can handle harder or less popular teachers.
Regardless of motivations, being on the honor roll changes the probability of getting the class you want. So Alex is correct in thinking the honor roll students have a disadvantage. Everything would be fair if P(A | B) = P(A) showing that events A and B are independent. That is not the case here so the events are linked somehow.
Using an exponential function, it is found that you would have $10,240 after 18 years.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
Considering the initial value of $2,500, and the growth rate of 60% every 6 years, the equation is given by:
Hence, after 18 years, the amount is given by:
More can be learned about exponential functions at brainly.com/question/25537936
#SPJ1
Answer:
It is an example of an empirical probability.
Step-by-step explanation:
The empirical probability, also called experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
Theoretical probability is probability that is determined on the basis of reasoning.
It is evident that the probability in the question was arrived at after the outcome of 14 days of whether Jerry Gergich spilled his lunch on himself or not.
It's an actual result of an experiment, hence the 12/14 = 0.86 = 86% that he spills his lunch on himself tomorrow.
Hope this Helps!!!
