The diameter of bearingsis known to have a mean of 35 mm with a standard deviation of 0.5 mm. A random sample of 36 bearings is selected. What is the probability that the average diameter of these selected bearings will be between 34.95 and 35.18 mm?

Vulcan company is a monthly depositor whose tax liability for march 2019 is $2,510. 1. what is the due date for the deposit of these taxes? march 17 2. assume that no deposit was made until april 29. compute the following penalties. assume a 365-day year in your computations. round your answers to the nearest cent. a. penalty for failure to make timely deposits. $ b. penalty for failure to fully pay employment taxes $ c. interest on late payment (assume a 5% interest rate). $ d. total penalty imposed $

What is the eventual effect on real gdp if the government increases its purchases of goods and services by $80,000? assume the marginal propensity to consume (mpc) is 0.75. $ what is the eventual effect on real gdp if the government, instead of changing its spending, increases transfers by $80,000? assume the mpc has not changed. $ an increase in government transfers or taxes, as opposed to an increase in government purchases of goods and services, will result in an identical eventual effect on real gdp. a smaller eventual effect on real gdp. a larger eventual effect on real gdp. no change to real gdp.

Mai and chuck have been divorced since 2012. they have three boys, ages 6, 8, and 10. all of the boys live with mai and she receives child support from chuck. mai and chuck both work and the boys need child care before and after school. te boys attend the fun house day care center and mai paid them $2,000 and chuck paid them $3,000. mai's agi is $18,000 and chuck's is $29,000. mai will claim two of the boys as dependents. she signed form 8332 which allows chuck to claim one of the boys. who can take the child and dependent care credit?