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yarga [219]
3 years ago
10

Which statement is true?

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0
The answer is C

It’s C because like terms have the same variable.
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mina [271]

Answer:

53

Step-by-step explanation:

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3 years ago
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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%.

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3 years ago
Find the value of x so that (x, 12) satisfies y = 4x +4.
Elena L [17]
Plug in 12 for y and rewrite the equation.

12 = 4x + 4

Subtract 4 from both sides.

8 = 4x

Divide by 4 on both sides.

2 = x

The ordered pair is (2, 12) and x = 2.
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