Chick-fil-A has three drive-thru lanes. Depending on the day and time of day, they sometimes close all or some of the lanes. Let the random variable X represent the number of lanes that
are open on a randomly selected time during the week. The table shows the probability
distribution of X.

Part (a): What is the probability that at least one lane is open at a randomly selected time?
Part (b): What is the expected value of number of open lanes at a randomly selected time?
Part (c): What is the probability that all three drive-thru lanes are open, given that at least one lane is open?
Part (d): Given that at least one drive-thru lane is open, would the expected value of the number of open lanes be less than, equal to, or greater than the expected value from part b?

Acar loses a quarter of its value every year. it is originally worth $35,000. to the nearest dollar,how much will the car be worth in 8 years?

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

The weight of a full steel bead tire is approximately 800 grams, while a fighter wheel weighs only 700 grams. what is the weight of each tire in pounds?