The park’s main attraction will be the roller coaster Scream Mountain, which will be designed to be fast and fun, but still secure and safe. Scream Mountain’s manufacturer recently built a coaster in England that used 2,500 tons of steel and 50,000 bolts. If Scream Mountain will use 500 more tons of steel than the English coaster, how many bolts will be needed, assuming that the number of bolts is proportional to the amount of steel? HINT: Determine how much steel is needed for Scream Mountain, then set up a proportion with the English coaster.

The random variable x represents the number of phone calls an author receives in a day, and it has a poisson distribution with a mean of 8.7 calls. what are the possible values of x

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.

1. how do you convert the repeating, nonterminating decimal 0. to a fraction? explain the process as you solve the problem.