Kamila has a rectangular lawn that measures 80 by 150 feet. she wants to lay gravel made from colored rock in a border, 6 feet wide, all around the lawn. create a diagram that shows kamila’s rectangular lawn and the gravel border. assign variables to any unknown sides and label the diagram. use your diagram to determine how many square feet of the gravel border will surround the lawn. kamila decided that the depth of the gravel needs to be 2 inches. what is the total volume of gravel needed for the border? (hint: dimensions must be in terms of the same unit before you can calculate the volume) d. a large bag of colored rock contains of a cubic yard and costs $30. what is the total cost of the rocks needed for the border? (hint: the volume of the border must be in terms of a cubic yard before you can calculate the cost) in your final answers, include all formulas, equations, and calculations necessary to determine the correct answers.

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )

The null and alternate hypotheses are: h0: μ1 ≤ μ2 h1: μ1 > μ2 a random sample of 22 items from the first population showed a mean of 113 and a standard deviation of 12. a sample of 16 items for the second population showed a mean of 99 and a standard deviation of 6. use the 0.01 significant level. find the degrees of freedom for unequal variance test. (round down your answer to the nearest whole number.) state the decision rule for 0.010 significance level. (round your answer to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? use the 0.01 significance level.

Lena draws a square with an area that is greater than the area of rectangle b. what are two possible side lengths of lena's square? explain.