Ryan has a bag with marbles. he selects a marble, records the color, and then puts the marble back in the bag. in 25 trials, he selects a green marble 10 times. he selects a blue marble the other times. based on his results, which is the best prediction of how many times ryan will select a blue marble in 100 trials?

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

Evaluate the expression for the given value of the variable 2×(c2-5) for c=4

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years