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Set up the equation needed to solve the problem.
1. A rectangular garden has dimensions of 25 feet by 19 feet . A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 672 square feet?
2. The area of a square is 81 square centimeters . If the same amount is added to one dimension and removed from the other , the resulting rectangle has an area 9 square centimeters less than the area of the square .How much is added and subtracted ?
Solve the problems using algebra.
1. When making a long distance call from a certain pay phone , the first three minutes of a call cost $1.40. After that , each additional minute or portion of a minute of that call cost $0.35. Use an inequality to find the maximum number of minutes one can call long distance for $6.30.
2. A rectangular carpet has a perimeter of 144 inches . The length of the carpet is 52 inches more than the width. What are the dimensions of the carpet.
The average age of the women was 45.582 with a standard deviation of 5.143. He uses this information to calculate a 95% confidence interval for the differnce in means, (-11.41, -5.422). The best interpretation of this interval is which of the foll..
A random sample of n = 4 scores is obtained from a normal population with = 20 and = 4. What is the probability of obtaining a mean greater than M = 22 for this sample?
In a survey of women in a certain country (ages 20-29), the mean height was 62.9 inches with a standard deviation of 2.81 inches.
The probability that student pilot passes the written test for a private pilot's license is 0.7. Find the probability that the student will pass the test: (a) on the third attempt (b) before the fourth attempt.
For the following statement, write the null hypothesis and the alternative hypothesis. Then, label the one that is the claim being made.
How many students would be required to estimate the proportion of students who consume coffee? Suppose we want the estimate to be within 5% of the true proportion with 95% confidence.
Using bar charts to compare observed frequencies between variables can be problematic when?
The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
Fitting a straight line to a set of data yields the following prediction line: i=2+5xi
The producers of a new toothpaste claim that it prevents more cavities than other brands of toothepaste. A random of 60 people used the new toothpaste for 6 months.
Using the original data, test at the 5% significance level that the population standard deviation of studying times is greater than 4 hours.
Suppose you are working with a data set that is normally distributed, with a mean of 300 and a standard deviation of 44. Determine the value of x from the following information.
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