Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent readin
g. She collects several data points to prove her claim and expresses the data points as (x, y) coordinate pairs. Which of the following actions could Sara take to prove her claim? Select two that apply.
A. Place the coordinate pairs in a table and show that they create equivalent ratios.
B. Use the coordinate pairs to show that an equation of the form y = x + c can be written.
C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value.
D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
B. Use the coordinate pairs to show that an equation of the form y = x + c can be written. C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value. D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
Let be the event that the number on the first card is even.
Let be the event that the number on the second card is even.
The question is asking for the possibility that event and happen at the same time. However, whether occurs or not will influence the probability of . In other words, and are not independent. The probability that both and occur needs to be found as the product of
the probability that event occurs, and
the probability that event occurs given that event occurs.
5 out of the ten numbers are even. The probability that event occurs is:
.
In case A occurs, there will only be four cards with even numbers out of the nine cards that are still in the bag. The conditional probability of getting a second card with an even number on it, given that the first card is even, will be: