The average teacher's salary in Connecticut (ranked first among states) is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7,500. If we sample 100 teachers' salaries, what is the probability that the sample mean is less than $56,000.

Suppose matt and bree go out to get pizza. they order breadsticks and a large pepperoni pizza. after eating the breadsticks, and one piece of pizza bree decides to have an additional piece, but she does not eat a third piece. if bree is a rational individual why did she not eat the third piece of pizza? the marginal cost of the

Price and efficiency variances, journal entries. the schuyler corporation manufactures lamps. it has set up the following standards per finished unit for direct materials and direct manufacturing labor: direct materials: 10 lb. at $4.50 per lb. $45.00 direct manufacturing labor: 0.5 hour at $30 per hour 15.00 the number of finished units budgeted for january 2017 was 10,000; 9,850 units were actually produced. actual results in january 2017 were as follows: direct materials: 98,055 lb. used direct manufacturing labor: 4,900 hours $154,350 assume that there was no beginning inventory of either direct materials or finished units. during the month, materials purchased amounted to 100,000 lb., at a total cost of $465,000. input price variances are isolated upon purchase. input-efficiency variances are isolated at the time of usage. 1. compute the january 2017 price and efficiency variances of direct materials and direct manufacturing labor. 2. prepare journal entries to record the variances in requirement 1. 3. comment on the january 2017 price and efficiency variances of schuyler corporation. 4. why might schuyler calculate direct materials price variances and direct materials efficiency variances with reference to different points in time

Quantitative problem: you need $20,000 to purchase a used car. your wealthy uncle is willing to lend you the money as an amortized loan. he would like you to make annual payments for 4 years, with the first payment to be made one year from today. he requires a 8% annual return. what will be your annual loan payments? round your answer to the nearest cent. do not round intermediate calculations. $ how much of your first payment will be applied to interest and to principal repayment? round your answer to the nearest cent. do not round intermediate calculations. interest: $ principal repayment