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morpeh [17]
3 years ago
8

Which of the statements about the following quadratic equation is true? 6x^2-8=4x^2+7x

Mathematics
2 answers:
zvonat [6]3 years ago
4 0
36x - 8 = 16x + 7x
36x - 8 = 23x
- 8 = -13x
8/13 = x
ira [324]3 years ago
3 0

Answer:

Option A.

The discriminant is greater than zero, so there are two real roots. Edge2020

Step-by-step explanation:

I just did it on Edge

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Ivanshal [37]

Answer:

57.93% probability that a trip will take at least 35 minutes.

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 = 36, \sigma = 4.9

What is the probability that a trip will take at least 35 minutes

This probability is 1 subtracted by the pvalue of Z when X = 35. So

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

Z = \frac{35 - 36}{4.9}

Z = -0.2

Z = -0.2 has a pvalue of 0.4207

1 - 0.4207 = 0.5793

57.93% probability that a trip will take at least 35 minutes.

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