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Elza [17]
3 years ago
11

Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie. Choose the cost functio

n that represents this scenario if x equals the number of nights Laura has the movie.
a. c(x) = 2.00x + 0.50
b. c(x) = 2.00 + 0.50x
c. c(x) = 2.50x
d. c(x) = (2.00 + 0.50)x
Mathematics
2 answers:
EleoNora [17]3 years ago
6 0
B. c(x) = 2.00 + 0.50x
anyanavicka [17]3 years ago
5 0
B.... hope it helps!
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How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 95% confidence that
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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.

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