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3 years ago

The following parallel dotplots

Mathematics

1 answer:

Murrr4er [49]3 years ago

5 0

Answer:

A sample of the data for the for the total income are as follows;

State, Indiana

Income, Number of families

0, 1

5, 1

10, 1

15, 1

20, 3

25. 4

From the data, we have;

The total income for the families from Indiana = $2,260

The total income for the families from New Jersey = $2,565

The average income for the families from Indiana ≈ $64.57

The average income for the families from New Jersey ≈ $73.29

The median income for the families from Indiana = 0

The median income for the families from New Jersey = $55

The first quartile for the families from Indiana = $0

The first quartile for the families from New Jersey = $0

The third quartile for the families from Indiana = $85

The third quartile for the families from New Jersey = $120

Step-by-step explanation:

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Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 p

Artemon [7]

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

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.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that $X = 80, \mu = 77, \sigma = 4.9$

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

$Z = \frac{80 - 77}{4.9}$

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Keenan's z-score was of 0.61.

Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.

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2 years ago

If f(x) = - 4x and g(x)= 5x?, find<br> a. (f+g)(x)<br> b.(-9)(x)<br> C. (fog)(x)

o-na [289]

a) (f+g)(x) = f(x) + g(x) = -4x + 5x = x

b) -9(x) = -9x? I have no idea what this means.

c) (f o g)(x) = (f(g(x)) = f(5x) = -4 (5x) = -20x

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3 years ago

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nikdorinn [45]

Answer:

n = 6

Step-by-step explanation:

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