In a random sample of 61 professional actors, it was found that 39 were extroverts. Let p represent the proportion of all actors who are extroverts. a. Find a point estimate for p. (Round your answer to four decimal places.)
b. Find a 95% confidence interval for p. (Round your answers to two decimal places.)

Evaluate 4 a for a = 5 2/3 . express your answer in simplest form.

Afruit stand has to decide what to charge for their produce. they need $10 for 4 apples and 4 oranges. they also need $15 for 6 apples and 6 oranges. we put this information into a system of linear equations. can we find a unique price for an apple and an orange?

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below: