12.05.2022

A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day. Assuming the data are normally distributed, find, to the nearest hundredth, the z-scores for each of the following vacation expense amounts.
a. $197 per day.

b. $277 per day.

c. $310 per day.

. 2

Answer to test

28.10.2022, solved by verified expert

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Mathematics
Step-by-step answer
P Answered by Master

We are given:

\mu=247,\sigma=60

We need to find the z scores for the following vacation expense amounts:

$197, $277, $310

We know that z score formula is:

z=\frac{x-\mu}{\sigma}

When x = 197, the z score is:

z=\frac{197-247}{60}

        =\frac{-50}{60}

        =-0.83

When x = 277, the z score is:

z=\frac{277-247}{60}

        =\frac{30}{60}

        =0.5

When x = 310, the z score is:

z=\frac{310-247}{60}

        =\frac{63}{60}

        =1.05

Therefore, the z scores for the vacation expense amounts $197 per day, $277 per day, and $310 per day are -0.83, 0.5 and 1.05 respectively

Mathematics
Step-by-step answer
P Answered by Specialist

We are given:

\mu=247,\sigma=60

We need to find the z scores for the following vacation expense amounts:

$197, $277, $310

We know that z score formula is:

z=\frac{x-\mu}{\sigma}

When x = 197, the z score is:

z=\frac{197-247}{60}

        =\frac{-50}{60}

        =-0.83

When x = 277, the z score is:

z=\frac{277-247}{60}

        =\frac{30}{60}

        =0.5

When x = 310, the z score is:

z=\frac{310-247}{60}

        =\frac{63}{60}

        =1.05

Therefore, the z scores for the vacation expense amounts $197 per day, $277 per day, and $310 per day are -0.83, 0.5 and 1.05 respectively

Mathematics
Step-by-step answer
P Answered by Master

We are given:

\mu=247,\sigma=60

We need to find the z scores for the following vacation expense amounts:

$197, $277, $310

We know that z score formula is:

z=\frac{x-\mu}{\sigma}

When x = 197, the z score is:

z=\frac{197-247}{60}

        =\frac{-50}{60}

        =-0.83

When x = 277, the z score is:

z=\frac{277-247}{60}

        =\frac{30}{60}

        =0.5

When x = 310, the z score is:

z=\frac{310-247}{60}

        =\frac{63}{60}

        =1.05

Therefore, the z scores for the vacation expense amounts $197 per day, $277 per day, and $310 per day are -0.83, 0.5 and 1.05 respectively

Mathematics
Step-by-step answer
P Answered by Master

We are given:

\mu=247,\sigma=60

We need to find the z scores for the following vacation expense amounts:

$197, $277, $310

We know that z score formula is:

z=\frac{x-\mu}{\sigma}

When x = 197, the z score is:

z=\frac{197-247}{60}

        =\frac{-50}{60}

        =-0.83

When x = 277, the z score is:

z=\frac{277-247}{60}

        =\frac{30}{60}

        =0.5

When x = 310, the z score is:

z=\frac{310-247}{60}

        =\frac{63}{60}

        =1.05

Therefore, the z scores for the vacation expense amounts $197 per day, $277 per day, and $310 per day are -0.83, 0.5 and 1.05 respectively

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

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