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

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

The solution is in the following image

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