Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the several years.

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal?

A. 5y + 10 Greater than or equal to 50; y Greater than or equal to 12 years

B. 10y + 5 Greater than or equal to 50; y Greater the or equal to 5.5 years

C. 5y + 10 Greater than or equal to 50; y Greater than or equal to 8 years

D. 10y + 5 Greater than or equal to 50 years y Greater than or equal to 4.5 years

Thanh and her crew are building a stage in the shape of a trapezoid for an upcoming festival. the lengths of the parallel sides of the trapezoid are 14 ft and 24 ft. the height of the trapezoid is 12 ft.what is the area of the stage? enter your answer in the box. ft²

Alex's monthly take home pay is $2,500. what is the maximum bad debt payment he can maintain without being in credit overload?

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) =