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Alexxandr [17]
3 years ago
8

please help i need to pass this year use the Pythagorean theorem find the missing length a=7 b=11 c= ?

Mathematics
2 answers:
choli [55]3 years ago
7 0
Pythagorean theorem formula is a^2 + b^2 = c^2

7^2 + 11^2 = 170

You will get the value of c by square-rooting 170

Therefore, the answer is √170
harina [27]3 years ago
3 0
There are actually 2 possibilities here:

1) a and b are the shortest 2 sides, and c is the longest side, and we assume that this is a right triangle.  Then 7^2 + 11^2 = c^2,  or  c^2 = 49 + 121 =170.
c is then sqrt(170)   (answer)

2) b is the hypo and a and c are the 2 legs.  Then 11^2 = 7^2 + c^2, and 
121-49 = c^2, so that c = sqrt(72), or sqrt(36)*sqrt(2) = 6*sqrt(2) (answer)
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One year Ron had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched)
Arada [10]

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 \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 X = 3.06

For the males, the mean ERA was 5.086 and the standard deviation was 0.998. This means that \mu = 5.086, \sigma = 0.998

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{3.06 - 5.086}{0.998}

Z = -2.03

Ron's ERA has a z-score of -2.03.

Karla

ERA of 3.28, so X = 3.28

For  the females, the mean ERA was 4.316 and the standard deviation was 0.558. This means that \mu = 4.316, \sigma = 0.558

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{3.28 - 4.316}{0.558}

Z = -1.86

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.

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