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Firdavs [7]
3 years ago
7

One root of a third degree polynomial function f(x) is -5 + 2i. Which statement describes the number and nature of all

Mathematics
1 answer:
Sauron [17]3 years ago
7 0

Answer:

f(x) has two imaginary roots and one real root.

Step-by-step explanation:

Complex roots:

I a complex number a + bi is a root of a polynomial, it's conjugate a - bi is also a root.

One root of a third degree polynomial function f(x) is -5 + 2i.

This means that -5 - 2i is another root of the polynomial, and thus, 2 of the roots are complex.

Third degree, so it has three roots, which means that the third root is real(not possible to have a complex root without it's conjugate), and thus, the correct answer is:

f(x) has two imaginary roots and one real root.

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Mary and Jane both took PSY230 last semester but they were in two different sections taught by different professors. Mary's clas
Greeley [361]

Answer:

Due to the higher z-score, Jane did better in class.

Step-by-step explanation:

Z-score:

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:

Whoever's grade had the better z-score did better in class.

Mary's:

Mean of 85, standard deviation of 5, grade of 88. This means that \mu = 85, \sigma = 5, X = 88. So

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

Z = \frac{88 - 85}{5}

Z = 0.6

Jane's

Mean of 80, standard deviation of 10, grade of 88. This means that \mu = 80, \sigma = 10, X = 88. So

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

Z = \frac{88 - 80}{10}

Z = 0.8

Due to the higher z-score, Jane did better in class.

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3 years ago
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Verdich [7]
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Read the problem and examine the diagram.
yulyashka [42]

Answer:

Option A: The answer should be 10% of 6 is the correct answer.

Step-by-step explanation:

Given that:

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Let,

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By solving this, we will get the value for number of students in the band.

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Hence,

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Step-by-step explanation:

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