What is 20 min ealy than 12:00
2 answers:
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Answer: The lengths of the garden are 57.32 feet and 22.68 feet (approximately)
Step-by-step explanation: The area has been given as 1300 which means,
Area = L x W
1300 = L x W ———(1)
Also the perimeter has been given as 160, hence we also have
Perimeter = 2(L + W)
160 = 2(L + W)
80 = L + W ———(2)
From equation (2), make L the subject of the equation
L = 80 - W
Substitute for the value of L into equation (1)
1300 = L x W
1300 = (80 - W) x W
1300 = 80W - W^2
Rearranging the equation we now have;
W^2 - 80W + 1300 = 0
Since we cannot factorize we shall apply the quadratic equation formula to solve for W. Please refer to the attachment for details of this.
Having calculated the value of W to be either 57.32 or 22.68, we can now find the value of L as follows;
Substitute for the value of W into equation (1)
1300 = L x W
1300 = L x 57.32
Divide both sides of the equation by 57.32
22.68 = L.
(Note that if we take the other value of W which is 22.68, the value of L shall be 57.32)
Since the area of the rectangular garden must be AT LEAST 1300 square feet we shall use the exact values for;
Length = 57.32 feet
Width = 22.68 feet
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.