1. The area of a square with side length x, where the side length is decreased by 3, the area is
1 answer:
Answer:
Step-by-step explanation:
Let's follow what the problem asks us:
- "The area of a square with side length x"
this is the formula for area:
since the side length is x, the initial area is:
- Now, "where the side length is decreased by 3":
The side is now , thus the area is:
- "the area is multiplied by 2"
we had the area , when we multiply by 2:
- And finally " then 4 square units are added to the area."
this is:
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Answer:
The probability that a student is an undergraduate student, given that the student received a plus grade is 0.92
Step-by-step explanation:
The conditional probability of an event <em>B</em> given that another event <em>A</em> has already occurred is:
Denote the events as follows:
<em>X</em> = a students is a graduate
<em>Y </em>= a students is a under-graduate
+ = a student received one or more plus grades
- = a student received one or more minus grades
Consider the tree diagram below.
According to the tree diagram, the probability that a student is an undergraduate student, given that the student received a plus grade is:
P (+ | Y) = 0.92
Thus, the probability that a student is an undergraduate student, given that the student received a plus grade is 0.92.
General Idea:
W hen we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)
When, then P' is enlargement of P
When , then P' is reduction of P
Applying the concept:
In the diagram given A'B'C' is enlargement of ABC. So the correct option will be option A. , enlargement