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shusha [124]
3 years ago
14

Given: X = r + 2, Y = 2r - 9, and Z = r 2 + 17r + 30. Simplify [X · Y - Z] ÷ X.

Mathematics
1 answer:
ale4655 [162]3 years ago
7 0
( (r+2) * (2r-9)-(r^2+17r+30) )/(r+2)

none of the parenthetical operations or power operations can be simplified further, so multiplication and division first, left to right:

(2r(r+2) -9(r+2) - r^2 + 17r +30)/(r+2)

(2r^2 + 2r -9r+18 -r^2 +17r +30 )/(r+2)

(r^2 +10r +48)/(r+2)


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Answer:

Due to the higher z-score, Stewart caught the longer fish, relative to fish of the same species

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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.

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Whosoever fish's had the higher z-score.

Stewart caught a bluefish that was 283mm

The mean length of a bluefish is 264 millimeters with a standard deviation of 57mm.

So we have to find Z when X = 283, \mu = 264, \sigma = 57

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Gina caught a pompano that was 152mm long.

For pompano, the mean is 157mm with a standard deviation of 28mm.

So we have to find Z when X = 152, \mu = 157, \sigma = 28

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Z = \frac{152 - 157}{28}

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3 years ago
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Answer:

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-3x+5y=30
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