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3 years ago

Is 2x+7y=-12 linear or nonlinear

2 answers:

8 0

Answer: If you mean the mapping y(x) := 3x+4, then y(x) is not linear, because it does not satisfy the two properties of linearity. Only equations of the form y(x) := ax (for "a" being any real or complex number) are linear. Don't be confused with the plot of the graph of y(x) = 3x+4 being a line - this does not mean linear in the sense of the definition in Linear Algebra. Some authors define such function as "affine-linear".

skad [1K]3 years ago

3 0

Answer:

If you plot this on a graph it would be a linear equation...

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Battery packs in electric go-carts need to last a fairly long time. The run-times (time until it needs to be recharged) of the b

pav-90 [236]

Answer:

The minimum level for which the battery pack will be classified as highly sought-after class is 2.42 hours

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:

$\mu = 2, \sigma = 0.33$

What is the minimum level for which the battery pack will be classified as highly sought-after class

At least the 100-10 = 90th percentile, which is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.

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

$1.28 = \frac{X - 2}{0.33}$

$X - 2 = 0.33*1.28$

$X = 2.42$

The minimum level for which the battery pack will be classified as highly sought-after class is 2.42 hours

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3 years ago

I need help with this

mr_godi [17]

Area of each piece of paper = 8 1/2 x 11 = 17/2 x 11 = 187/2

The greatest number of possible pieces of paper = [1000 ÷ 187/2] = [1000 x 2/187] = [2000/187] = 10

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2 years ago