To make a model volcano that actually erupts, Tomo mixes chemicals using the recipe shown.
He makes three batches of fake lava, each containing a different amount.

Drag numbers to show how much of each ingredient Tomo should use in each batch of fake lava.

Simplify 15(x - 4)(x -1)-3(x + 4)(x - 1) with steps

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)