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3 years ago

The average low temperature by month in Nashville is represented by the function

Mathematics

1 answer:

malfutka [58]3 years ago

4 0

Answer:

Step-by-step explanation:

Given the average low temperature by month in Nashville is represented by the function f(x)=-1.4x² + 19x +1.7, where x is the month, the average rate of change is expressed as d[f(x)]/dx = 2(1.4x) + 19

d[f(x)]/dx = 2.8x + 19

Since the number of months between March and August is 5 months and x is in months, hence we will substitute x = 5 into the resulting function to get the average rate of change from March to August as shown;

d[f(x)]/dx at x = 5

= 2.8(5)+ 19

= 14 + 19

= 33

<em>Hence the average rate of change from March to August is 33</em>

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CaHeK987 [17]

Answer:

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Step-by-step explanation:

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3 years ago

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2 years ago

The National Center for Educational Statistics surveyed 5400 college graduates about the lengths of time required to earn their

fenix001 [56]

Answer:

The 90% confidence interval for the mean time required by all college graduates is between 5.36 years and 5.44 years.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.645*\frac{1.9}{\sqrt{4500}} = 0.04$

The lower end of the interval is the sample mean subtracted by M. So it is 5.4 - 0.04 = 5.36 years.

The upper end of the interval is the sample mean added to M. So it is 5.4 + 0.04 = 5.44 years.

The 90% confidence interval for the mean time required by all college graduates is between 5.36 years and 5.44 years.

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3 years ago

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Dmitrij [34]

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a red card

joja [24]

Answer: $\dfrac{3}{51}$

Step-by-step explanation:

Given : The total number of cards in a deck = 52

Number of red cards = 26

There are two types of red cards : diamond and heart.

Number of diamond cards = 13

The probability that the first card is a diamond :-

$\dfrac{13}{52}=\dfrac{1}{4}$

Since diamond is also a red card.

Now, the total cards left = 51

The number of red cards left = 12

The probability that the second card is a red card (without repetition) is given by :-

$\dfrac{12}{51}$

Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-

$\dfrac{1}{4}\times\dfrac{12}{51}=\dfrac{3}{51}$

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3 years ago