Explain why a positive discriminant results in two real solutions.

Mathematics

1 answer:

melamori03 [73]3 years ago

5 0

Answer:

Step-by-step explanation:

If the discriminant b^2 - 4ac > 0, then the two solutions are

$\frac{-b +- \sqrt{b^2 - 4ac} }{2a}$ , and in both cases, the value on the square root is > 0, so the result will always be a real number.

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All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top aca

lys-0071 [83]

Answer:

1.32% of students have the chance to attend the charter school.

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 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.

This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.

This means that $\mu = 82, \sigma = 4.5$