Which statement correctly describes the end behavior of y = 3x8 + 5x2 +2x - 1

1 answer:

5 0

The end behavior of functions with exponents is quite simple when you realized that as x approaches infinity that the function will act as if the highest exponent term is the only one which exists...

In this case 3x^8 is the highest order term, so y approaches +oo as x approaches +oo or -oo. Or in other words y increases without bound as x approaches ±oo

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A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.8 years, and

yarga [219]

Answer:

Less than 3.6 years.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.8 years, and standard deviation of 1.7 years.

This means that $\mu = 5.8, \sigma = 1.7$