Alayna parks her car in a lot that charges by the quarter hour. The table shows the parking fee, in dollars, with respect to the
1 answer:
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Answer:
Given the consumer is 18 to 24 years old, there is 37% probability that he uses a plastic card.
Step-by-step explanation:
This can be formulated as the following problem:
What is the probability of B happening, knowing that A has happened.
It can be calculated by the following formula
Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.
In this problem, we have:
What is the probability of the consumer using a plastic card, given that the consumer is 18 to 24 years old.
The problem states that the probability that a consumer uses a plastic card when making a purchase is .37, so
P(A/B) is the probability that the consumer being 18 to 24 years old, given that he uses a plastic card. The problem states that this probability is .19. So
P(A) is the probability that the consumer is 18 to 24 years old. There is a .81 probability that the consumer is more than 24 years old. So there is a .19 probability that he is 18 to 24 years old. So
The probability is
Given the consumer is 18 to 24 years old, there is 37% probability that he uses a plastic card.
For this case, the first thing we must do is define variables.
We have then:
f: number of points that fabio scored.
c: number of points that Carlos scored.
We now write the equation that models the problem:
Then, for f = 31 we have:
From here, we clear the number of points:
Answer:
The equation to find the number of carlos points is:
Then, Carlos scored:
Answer:
See the attached figure for better explanation :
Step-by-step explanation :
1. By the unique line postulate, you can draw only one line segment : <u>BC</u>
Since only one line can be drawn between two distinct points.
2. Using the definition of <u>reflection</u>, reflect BC over l.
To find line segment which reflects BC over l, we will use the definition of reflection.
3. By the definition of reflection, C is the image of itself and <u>A</u> is the image of B.
Definition of reflection says the figure about a line is transformed to form the mirror image. Now, CD is perpendicular bisector of AB so A and B are equidistant from D forming the mirror image of each other.
4. Since reflections preserve <u>length</u>, AC = BC
In Reflection the figure is transformed to form a mirror image, Hence the length will be preserved in case of reflection.
