Find the equation of the line. Use exact numbers.
1 answer:
Answer:
y = x - 3
Step-by-step explanation:
Let the general equation of the line be y = ax + b
Note that the points (6,0) and (0,-3) lie on the line. That means, it should satisfy the equation of the line. We substitute the points on the equation of the line.
We would have:
From (2), we get: b = -3
From (1), we have -6a = b
Substituting b = -3, we get:
-6a = -3
⇒ a = 1/2
Therefore, the equation of the line would become: y = 1/2x - 3
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Answer:
The correct option is (c).
Step-by-step explanation:
The complete question is:
The data for the student enrollment at a college in Southern California is:
Traditional Accelerated Total
Math-pathway Math-pathway
Female 1244 116 1360
Male 1054 54 1108
Total 2298 170 2468
We want to determine if the probability that a student enrolled in an accelerated math pathway is independent of whether the student is female. Which of the following pairs of probabilities is not a useful comparison?
a. 1360/2468 and 116/170
b. 170/2468 and 116/1360
c. 1360/2468 and 170/2468
Solution:
If two events <em>A</em> and <em>B</em> are independent then:
In this case we need to determine whether a student enrolled in an accelerated math pathway is independent of the student being a female.
Consider the following probabilities:
If the two events are independent then:
P (F|A) = P(F)
&
P (A|F) = P (A)
But what would not be a valid comparison is:
P (A) = P(F)
Thus, the correct option is (c).
Given:
The equation is:
To find:
The value of a.
Solution:
We have,
On simplification, we get
On comparing both sides, we get
And,
Therefore, the value of a is 2.