In Tokyo, construction workers earn an average of ×420,000 (yen) per month with a standard deviation of ×20,000, while in Hamburg, Germany, construction workers earn an average of €3,200 (euros) per month with a standard deviation of €57. A worker making ×460,000 per month in Tokyo is earning relatively the same as one earning €3,300 per month in Hamburg?

Since they have different z-scores, they are not earning relatively the same.

Step-by-step explanation:

We use z-scores to solve this question.

In a set with mean and standard deviation , the zscore of a measure X is given by:

In this question:

They will be earning relatively the same if they have the same z-score.

Tokyo:

Earns 460, mean 420, standard deviation 20. So . The z-score is:

Hamburg:

Earns 3300, mean 3200, standard deviation 57. So .

The z-score is:

Since they have different z-scores, they are not earning relatively the same.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.