The longest side of a triangle is 3 centimeters longer

How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 95% confidence that

zimovet [89]

Answer:

61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

Step-by-step explanation:

Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.

To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?

Solution :

At 95% confidence the z-value is z=1.96

The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes

The population standard deviation is s=12 minutes

n is the number of sample

The formula of margin of error is given by,

$E=\frac{s\times z}{\sqrt{n}}$

Substitute the value in the formula,

$3=\frac{12\times 1.96}{\sqrt{n}}$

$3=\frac{23.52}{\sqrt{n}}$

$\sqrt{n}=\frac{23.52}{3}$

$\sqrt{n}=7.84$

Squaring both side,

$n=61.4656$

Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

6 0

3 years ago

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The amount of money Beverly earns from selling her paintings at a craft show can be determined by the

Tanzania [10]

Answer:

E = $385

Step-by-step explanation:

35 x 11 = 385

8 0

3 years ago

There is a bag filled with 5 blue, 6 red and 2 green marbles.

vodka [1.7K]

Answer:

the answer is still 1/12

4 0

3 years ago

**view image**

vladimir1956 [14]

The chart has been completed in the picture attached.

Step-by-step explanation:

Step 1:

It is given that the number of bacteria doubles every 6 hours.

So if there are 1 million now, in 6 hours there would be double that i.e. 2 million and it will go on.

Step 2:

As the first column says the number of 6-hour periods, the second column is the actual number of hours.

So the second column is multiples of 6 so the second column is filled with;

0, 6, 12, 18, 24, 30, 36, 42 and 48.

Step 3:

The current population is calculated by multiplying the previous population by 2.

For 0 hours, the population = 3 million,

For 6 hours, the population = $2(3) = 6$ million,

For 12 hours, the population = $2(6) = 12$ million,

For 18 hours, the population = $2(12) = 24$ million,

For 24 hours, the population = $2(24) = 48$ million,

For 30 hours, the population = $2(48) = 96$ million,

For 36 hours, the population = $2(96) = 192$ million,

For 42 hours, the population = $2(192) = 384$ million, and

For 48 hours, the population = $2(384) = 768$ million.

So at the end of 48 hours, there will be approximately 768 million bacteria on the pinhead.

8 0

3 years ago

Read the excerpt from “Raymond's Run.” But now, if anybody has anything to say to Raymond, anything to say about his big head, t

dsp73

Answer:

D. She uses Squeaky’s thoughts and words to tell readers about her character.

3 0

3 years ago

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