Marnie conducted an experiment using a bag of 12 marbles containing an equal number of blue, red, and green marbles. She randomly chose one marble, noted the color, and returned the marble to the bag. Marnie did this for a total of 20 trials. The table below shows the results. Event
Count
Blue
7
Red
8
Green
5

What was the experimental probability of choosing a blue marble from a bag?
StartFraction 7 over 20 EndFraction
StartFraction 7 over 13 EndFraction
StartFraction 7 over 12 EndFraction

‼️‼️‼️‼️‼️the pressure exerted on the walls of a container by a gas enclosed within it is directly proportional to the temperature of the gas. if the pressure is 6 pounds per square inch when the temperature is 440 f, find the pressure exerted when the temperature of the gas is 380°f. (show work)

For problems 7–10, state a reasonable domain for the problem statement, find the inverse function f –1(x), and identify the independent and dependent quantities of the inverse. 7. gary is jogging. the total distance he has traveled, in miles, can be estimated using the function f(x) = 9x, where x is his jogging time in hours. 8. camryn sells computers. she earns commission for her computer sales plus a fixed wage for each day she works. her daily earnings, in dollars, can be estimated using the function f(x) = 0.15x + 50, where x represents her computer sales in dollars. 9. the distance a motorboat travels, in meters, can be estimated using the equation f(x) = 1.9x2, wherexisthetimeinseconds, for0≤x≤10. 10. a rock band is selling tickets to a concert at a theater. the band earns money for each ticket sold, but has to pay some of the earnings to the theater. the total money earned by the band can be estimated using the function f(x) = 7.5x – 300, where x is the number of tickets sold.

The table below shows the number of color pages a printer prints out over a period of time. printed pages in color time (min), x 2 6 8 18 number of pages, y 3 9 12 27 what is the constant of variation?