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lubasha [3.4K]
3 years ago
7

PLEASE HELP ME! THANK YOU!

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

9514 1404 393

Answer:

  -5/2

Step-by-step explanation:

The average rate of change is the slope of the line between the two points. You can see from the graph that the slope is ...

  slope = rise/run = -5/2

The average rate of change on the interval is -5/2.

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Suppose that news spreads through a city of fixed size of 700000 people at a time rate proportional to the number of people who
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Answer:

y'(t) = k(700,000-y(t))  k>0 is the constant of proportionality

y(0) =0

Step-by-step explanation:

(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.

If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means  

<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.

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We can then state the initial value problem as

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Answer:

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Step-by-step explanation:

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According to Money magazine, Maryland had the highest median annual household income of any state in at (Time website). Assume t
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Answer:

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of Z = \frac{X - \mu}{\sigma}, in which \mu is the mean income and \sigma is the standard deviation of incomes.

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 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.

In this question:

Mean \mu, standard deviation \sigma

What is the probability that a household in Maryland has an annual income of X or more?

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of Z = \frac{X - \mu}{\sigma}, in which \mu is the mean income and \sigma is the standard deviation of incomes.

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