Solve for X. (Picture)

Mathematics

1 answer:

Ahat [919]4 years ago

6 0

$-2(7-4x)=\dfrac{1}{2}(4+16x)\qquad\text{use distributive property}\\\\(-2)(7)+(-2)(-4x)=\left(\dfrac{1}{2}\right)(4)+\left(\dfrac{1}{2}\right)(16x)\\\\-14+8x=2+8x\qquad\text{subtract 8x from both sides}\\\\-14=2\qquad FALSE!!!\\\\Answer:\ \boxed{no\ solution}$

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In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer must emit an average of no more

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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:

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