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saveliy_v [14]
3 years ago
12

Plz help

Mathematics
1 answer:
mixas84 [53]3 years ago
7 0

x2y + z = 9 \\  \\ 1. \: x + 2y + z +  - 2y = 9 +  - 2y \\ x + z =  - 2y + 9 \\ 2. \: x + z +  - z =  - 2y + 9 +  - z \\ x =  - 2y - z + 9 \\  \\  \\ x + y - z = 5 \\  \\ 1. \: x + y - z +  - y = 5 +  - y \\ x - z =  - y + 5 \\ 2. \: x - z + z =  - y + 5 + z \\ x =  - y + z + 5 \\  \\  \\ 3x - y + 2z = 12 \\ 1. \: 3x - y + 2z + y = 12 + y \\ 3x + 2z = y + 12 \\ 2. \: 3x = y - 2z + 12 \\ 3. \:  \frac{3x}{3}  =  \frac{y - 2z + 12}{3}  \\ x =  \frac{1}{3} y +  \frac{ - 2}{3} z + 4

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Answer:

0.6915

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.

In this problem, we have that:

\mu = 88, \sigma = 4[/ex]What is the probability that a single car of this model emits more than 86 mg/mi of NOX + NMOG?This is 1 subtracted by the pvalue of Z when X = 86. So[tex]Z = \frac{X - \mu}{\sigma}

Z = \frac{86 - 88}{4}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085

1 - 0.3085 = 0.6915

The answer is 0.6915

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