It costs a petroleum refinery $0.39 to refine one gallon of gasoline, and $0.39 to refine one gallon of natural gas. The refinery can sell gasoline for $2.11 per gallon, and can sell natural gas for $1.60 per gallon. Due to the refining
process, the refinery must produce and sell twice as much natural gas as it does gasoline. If the refinery's monthly overhead costs, not including production costs, are $180,000, how many gallons of natural gas will the refinery have sold when it breaks even each month? Round to the nearest whole gallon, if necessary.
a. 86,957
b. 141,732
c. 148,760
d. 217,392

Susan is paying $0.30 per $100 on her $483,000 home in homeowners insurance annually. if her annual homeowners insurance premium is divided into twelve equal monthly installments to be included on each of her monthly mortgage payments of $2,128.00, what is her total monthly payment?

Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =

The coverage of a base station of a telecommunication company forms a disk with a radius of (kilometers). let be the distance of a cellphone from a base station. assume that the location of cellphones in use are randomly uniformly distributed within the disk. calculate the mean and variance for the random variable.