The cylindrical jar above has a height of 12 centimeters and a radius of 4 centimeters.

The jar contains 20 spherical marbles.
Each marble has a radius of 0.8 centimeters.

Which of the following represents the amount of space in the jar that is NOT occupied by marbles?

A.12π(42)−20(43(0.8π)3)cubic centimeters
B.122(4π)−20(43π(0.8)3) cubic centimeters
C.12(4π)2−20(43(0.8π)3) cubic centimeters
D.12π(42)−20(43π(0.8)3) cubic centimeters

Elijah and his sister went to the movies. they had $34 altogether and spent $9.50 per ticket. elijah and his sister bought the same snacks. write and solve an inequality fotlr the amount that each person spent on snacks. interpret the solition

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to

The graph below shows the line of best fit for data collected on the number of cell phones in cell phone cases sold at the local electronic store on four different days