Based on internal tests a spaghetti sauce company believes that 70% of people prefer their sauce to the competitor's sauce. They are going to conduct a taste test and want to have a probability of .9 or better that 60% or more of taste testers prefer their product. They are considering groups of taste testers in increments of 10, i. e., 10, 20, 30, 40, ... How many people do they need to participate in the taste test? Note: Your answer will be divisible by 10 with no remainder. Use Excel to help you find the answer.

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel