Express using algebra The larger of two numbers is four more than the smaller. If the larger is x, what is the smaller?
2 answers:
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Answer:
Louis has faster pitch when compared to each of their teams.
Step-by-step explanation:
We have two pitchers which we need to compare to each of their teams.
To calculate this, we will approximate the distributions to a normal distribution, and calculate the z-score, to know what proportion of players of their team fall below their score.
For Jerry, he has a speed of 86 and his team has a mean speed of 93 and standard deviation of 3.
We can calculate the z-score for Jerry speed as:
The proportion of players that are below Jerry speed is approximated by the standard normal distribution:
For Louis, his speed is 84 and his team has a mean speed of 89 and standard deviation of 3.5.
We can calculate the z-score for Jerry speed as:
The proportion of players that are below Louis speed is approximated by the standard normal distribution:
As the proportion of players of Louis team that are below Louis speed is much bigger than the proportion of players of Jerry's team that are below Jerry speed, we can say that Louis has faster pitch when compared to each of their teams.
If p and q are both true, then
is an implication of the form
which is true, because every implication starting with false is true, i.e.
So, we're looking for an expression evaluating to true. Let's see what we have:
A) is an AND proposition. Logical AND is true only if both parts are true. So, you have
So it's not the right option.
B) is an OR proposition. Logical OR is true whenever one of the two parts is true. So, you have
So it's not the right option.
C) is again an AND proposition. You have
So this is not the right option.
D) Finally, the last one is again an implication, and again it starts with false:
So this is true, and thus is the correct option.