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Helga [31]
3 years ago
13

Simplify the given expression 6X-8y+9x+4y=

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0
First you add 6x and 9x, giving you 15x.
Next you add -8y and 4y, giving you -4y.
So in conclusion you get 15x-4y as your answer.
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The mean yearly rainfall in Sydney, Australia, is about 134 mm and the standard deviation is about 66 mm ("Annual maximums of,"
svetlana [45]

Answer:

At least 202.44 mm in the top 15%.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

\mu = 134, \sigma = 66

How many yearly mm of rainfall would there be in the top 15%?

At least X mm.

X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.

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

1.037 = \frac{X - 134}{66}

X - 134 = 66*1.037

X = 202.44

At least 202.44 mm in the top 15%.

5 0
3 years ago
(6n-6)(n-1)<br><br> simplify by multiplying
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3 years ago
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Step-by-step explanation:

1.bidmas

2.4x105=420

3.420x0.0375=15.57

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3 years ago
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