Using a linear function, it is found that the expression to find the perimeter of the composite figure made up of t triangles is:
<h3>What is a linear function?
</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
<h3>What is the perimeter of a figure?</h3>
- The perimeter of a figure is the<u> sum of all it's outside dimensions.</u>
Researching the problem on the internet, it is found that:
- When the figure is made of 1 triangle, the perimeter is of 12, as it is an isosceles triangle with two dimensions of 5 and one dimension of 2.
- When the figure is made of 2 triangles, the perimeter is of 14. For 3 triangles, it is of 16, and so on...
- Hence, when the number of triangles changes by 1, the perimeter changes by 2, which means that the slope is , and the equation is:
When t = 1, P(t) = 12, hence, we can find b:
Hence, the expression is:
To learn more about linear function, you can take a look at brainly.com/question/25823744
Answer:
Step-by-step explanation:
Let many universities and colleges have conducted supplemental instruction(SI) programs. In that a student facilitator he meets the students group regularly who are enrolled in the course to promote discussion of course material and enhance subject mastery.
Here the students in a large statistics group are classified into two groups:
1). Control group: This group will not participate in SI and
2). Treatment group: This group will participate in SI.
a)Suppose they are samples from an existing population, Then it would be the population of students who are taking the course in question and who had supplemental instruction. And this would be same as the sample. Here we can guess that this is a conceptual population - The students who might take the class and get SI.
b)Some students might be more motivated, and they might spend the extra time in the SI sessions and do better. Here they have done better anyway because of their motivation. There is other possibility that some students have weak background and know it and take the exam, But still do not do as well as the others. Here we cannot separate out the effect of the SI from a lot of possibilities if you allow students to choose.
The random assignment guarantees ‘Unbiased’ results - good students and bad are just as likely to get the SI or control.
c)There wouldn't be any basis for comparison otherwise.
Answer:
0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Did not receive an above average grade.
Event B: Did not attend class regularly.
Probability of an student not receiving an above average grade:
100 - 40 = 60% of 70%(attend class regularly).
100 - 10 = 90% of 100 - 70 = 30%(do not attend class regularly).
So
Did not receive an above average grade and did not attend class regularly:
90% of 30%. So
Find the probability that the student did not attend class regularly given that (s)he did not receive an above average grade
0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade
25=2,500, 278= 27800%, 2.9=290, 3.0=300, 0.67= 67