Melons cost $.56 per pound how many pounds can be bought with $5.60
1 answer:
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Answer:
Ron's ERA has a z-score of -2.03.
Karla's ERA has a z-score of -1.86.
Due to the lower z-score, Ron had a better yean than Karla relative to their peers.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Since the lower the ERA, the better the pitcher, whoever's ERA has the lower z-score had the better year relative to their peers.
Ron
ERA of 3.06, so
For the males, the mean ERA was 5.086 and the standard deviation was 0.998. This means that
So
Ron's ERA has a z-score of -2.03.
Karla
ERA of 3.28, so
For the females, the mean ERA was 4.316 and the standard deviation was 0.558. This means that
So
Karla's ERA has a z-score of -1.86.
Which player had the better year relative to their peers, Ron or Karla?
Due to the lower z-score, Ron had a better yean than Karla relative to their peers.
Answer:
Step-by-step explanation:
I think what it is trying to say is that it wants the solution to multiplying all of those. The (...) simply means that it wants you to continue that pattern in what you are supposed to be multiplying, but stop at .
That would mean you are technically supposed to be multiplying:
That is a lot and unfortunately, none of the individual fractions can be simplified within that. The final answer would be able to be simplified, though.
Multiplying the first four shown: you end up with
. Both the numerator (top) and the denominator (bottom) are divisible by 24. Dividing top and bottom would simplify this to
.
Now, let's take the next four.
allows you to end up with
. Both the numerator (top) and the denominator (bottom) are divisible by 336. You are left with
.
Now, let's take the next four.
. Multiplying these gives you
. Both the numerator (top) and the denominator (bottom) are divisible by 1320. You are left with
.
Now, let's take the next four.
. Multiplying these gives you
. Both the numerator (top) and the denominator (bottom) are divisible by 3360. You are left with
.
*<em> Although I would continue to say let's take the next four, there appears to be a pattern in the simplification. The numerators we have gotten have all been four less than their denominators, and each numerator has been four more than the last. I cannot be certain, but we only have two sets of four left. If this pattern continues, the simplifications of each should be and
. I will continue on for argument's sake, anyways.</em>
The next four are . Multiplying these, you are left with
. Both the numerator (top) and the denominator (bottom) are divisible by 6840. We are left with
. This is the exact guess I had made when following the pattern, and so the next one is most likely going to be the other guess as well.
Our final answer will be all multiplied together. We end up with
. Both the numerator (top) and denominator (bottom) are divisible by 208845.
Simplified, your final answer is: .
* <u>NOTE:</u> that another way to solve this would just be to multiply all numbers from 1-24 together and then 2-25, but you would end up with a very large number that would be just as time consuming to simplify. To get the GCF fast, I used a GCF calculator.