Stephen and Christie are away on vacation at the same time one evening Stephen takes a taxi ride to dinner in New York City where the cost of a tax includes a base fee of three dollars plus a charge of $1.55 per kilometer the same evening Christy takes a taxi ride in Boston where the base fee is $2.60 with a charge of $1.75 per kilometer later that evening they talk and discovered that they each spend the same amount of money for the taxi ride to dinner how many kilometers did each person travel to dinner and how much each person spent for the taxi ride

Eight people were asked what the balance of their savings account at the beginning of the month was and how much it increased or decreased by the end of the month. create a scatter plot that represents the data that is shown in the table. the x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the savings account in hundreds of dollars. name beginning balance (in thousands of dollars) change in savings account (in hundreds of dollars) jimmy 5 3 kendra 4 7 carlos 5 4 yolanda 3 1 shawn 2 5 laura 3 2 andy 5 6 georgia 4 3

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*