## The perimeter of a triangle is 67 in. The longest side is 15 in. longer

Question The perimeter of a triangle is 67 in. The longest side is 15 in. longer than the medium side, and the medium side is 5 in. more than the shortest side. Find the length of each side of the triangle.(a) The length of the longest side is ____ inches?(b) The length of the medium side is ____ inches?(c) The length of the shortest side is ____ inches?I attached the problem below!

## 1) Not everyone pays the same price for the same model of a car.

Question 1) Not everyone pays the same price for the same model of a car. The figure illustrates a normal distribution for the prices paid for a particular model of a new car. The mean is $19,000 and the standard deviation is $ 1000. Use the 68-95-99.7 Rule to find the percentage of buyers who paid less than $18,000.The percentage of buyers who paid less than $ 18, 000 is ? 2) Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 513 and a standard deviation of 115. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score below 168.The percentage of people taking the test who score below 168 is ?3) Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 523 and a standard deviation of 70. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score above 733.The percentage of people taking the test who score above 733 is?4) Scores on a dental anxiety scale range from 0 (no anxiety) to 20 (extreme anxiety). The scores are normally distributed with a mean of 11 and a standard deviation of 4. Find the z-score for the given score on this dental anxiety scale.z12:

## 1) Scores on a dental anxiety scale range from 0 (no anxiety) to

Question 1) Scores on a dental anxiety scale range from 0 (no anxiety) to 20 (extreme anxiety). The scores are normally distributed with a mean of 11 and a standard deviation of 4. Find the z-score for the given score on this dental anxiety scale.z6: z7: z15: 2) The average number of chocolate chips in a particular brand of chocolate chip chewy cookie is 19. The standard deviation is 2.6. Assuming that the number of chocolate chips per cookie is normally distributed, what percentage of cookies would have between 13.8 and 24.2 chips?

## A pet store keeps track of the purchases of customers over a four-hour

Question A pet store keeps track of the purchases of customers over a four-hour period. The store manager classifies purchases as containing a dog product, a cat product, a fish product, or a product for a different kind of pet. The data to the right was recorded. Complete parts (a) through (d) below. -how many purchases were for a dog product only? -how many purchases were for a cat product only? -how many purchases were for a dog or fish product? -how many purchases were there in total?

## A Gallup poll of 1001 Americans age 18 and over conducted in May of

Question A Gallup poll of 1001 Americans age 18 and over conducted in May of 2013 found that 80% of the respondents “strongly agree” that K-12 schools should teach critical thinking to children.If the margin of error for this poll is 2.9%, then the 95% confidence interval for this statistic is from____ to_____ .