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.

We are given:

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

$197, $277, $310

We know that z score formula is:

When , the z score is:

When , the z score is:

When , the z score is:

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

We are given:

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

$197, $277, $310

We know that z score formula is:

When , the z score is:

When , the z score is:

When , the z score is:

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

We are given:

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

$197, $277, $310

We know that z score formula is:

When , the z score is:

When , the z score is:

When , the z score is:

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

We are given:

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

$197, $277, $310

We know that z score formula is:

When , the z score is:

When , the z score is:

When , the z score is:

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

The solution is in the following image

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

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

The answer is in the image 

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.