MATHEMATICS COLLEGE

A meteorologist is studying the speed at which thunderstorms travel. A sample of 10 storms are observed. The mean of the sample was 12.2 MPH and the standard deviation of the sample was 2.4. What is the 95% confidence interval for the true mean speed of thunderstorms?

Answers

Answer 1

Answer:

Answer:

The 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

Step-by-step explanation:

Given information:

Sample size = 10

Sample mean = 12.2 mph

Standard deviation = 2.4

Confidence interval = 95%

At confidence interval 95% then z-score is 1.96.

The 95% confidence interval for the true mean speed of thunderstorms is

$CI=\overline{x}\pm z*(s)/(√(n))$

Where, $\overline{x}$ is sample mean, z* is z score at 95% confidence interval, s is standard deviation of sample and n is sample size.

$CI=12.2\pm 1.96(2.4)/(√(10))$

$CI=12.2\pm 1.487535$

$CI=12.2\pm 1.488$

$CI=[12.2-1.488, 12.2+1.488]$

$CI=[10.712, 13.688]$

Therefore the 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

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Answers

Let the width = x feet, then the length = 160 - x feet.

The area = x * (160 - x) = 4000

160x - x^2 = 4000

x^2 - 160x + 4000 = 0

x = [- (-160) +/- sqrt (160^2 - 3 * 1 * 4000)] / 2

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answer is length = 129 feet and width = 31 feet ( to nearest foot).

Help with this problem (20 points)

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Answer:

what problem? i dont see it

No problem here! Are you sure?

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Answers

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Answers

Answer:

22/40

Step-by-step explanation:

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Solve the inequality for x. –8x + 16 > –72

Answers

Answer:

x>11

Step-by-step explanation:

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Transactions to a computer database are either new items or changes to previous items. The addition of an item can be completed less than 100 milliseconds 81% of the time, but only 20% of changes to a previous item can be completed in less than this time. If 30% of transactions are changes, what is the probability that a transaction can be completed in less than 100 milliseconds? Round your answer to two decimal places (e.g. 98.76).

Answers

Answer:

There is a 62.7% probability that a transaction can be completed in less than 100 milliseconds.

Step-by-step explanation:

This a probability problem.

We have the following probabilities:

-70% probability that a transaction is an addition of an item.

-30% probability that a transaction is a change to an item

-81% probability that an addition can be completed in less than 100 milliseconds

-20% probability that change can be completed in less than 100 milliseconds

The probability P that a transaction can be completed in less than 100 milliseconds is:

$P = P_(1) + P_(2)$

In which $P_(1)$ is the probability that the transaction is an addition and it takes less than 100 milliseconds. So

$P_(1) = 0.7*0.81 = 0.567$

$P_(2)$ is the probability that the transaction is a change and it takes less than 100 milliseconds. So

$P_(2) = 0.2*0.3 = 0.06$

$P = P_(1) + P_(2) = 0.567 + 0.06 = 0.627$

There is a 62.7% probability that a transaction can be completed in less than 100 milliseconds.

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