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Goryan [66]
3 years ago
10

Given the function f(x) =-2x+3x^2-5, what is the right end behavior

Mathematics
1 answer:
Leto [7]3 years ago
8 0
The right-end behaviour of all polynomials is always (i.e. whether highest power is odd or even) increasing when the leading coefficient (coefficient of the highest powered variable) is positive.
Otherwise, it is decreasing.

The leading coefficient is +3 (i.e. positive), corresponding to the term +3x^2.
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Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

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 = 28, \sigma = 6

What are the minimum value of the bill that is greater than 95% of the bills?

This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

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

1.645 = \frac{X - 28}{6}

X - 28 = 6*1.645

X = 37.87

The minimum value of the bill that is greater than 95% of the bills is $37.87.

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Step-by-step explanation:

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