A railroad tunnel is shaped like a semiellipse, as shown below. The height of the tunnel at the center is 27 ft, and the vertical clearance must be 9 ft at a point 24 ft from the center. Find an equation for the ellipse. (5 points)
Read Details(04.03 MC) The probability that Barry Bonds hits a home run on any given at-bat is 0.16, and each at-bat is independent. Part A: What is the probability that the next home run will be on his fifth at-bat? (5 points) Part B: What is the expected number of at-bats until the next home run? (5 points) (10 points)
Read DetailsAn 8-year old boy is in for his annual WCC. He has just completed second grade and it has not been a very good spring for him. His original teacher left in February on maternity leave, and his new teacher thinks he needs to be evaluated for ADHD because he is having trouble sitting still, he has disruptive behaviors with talking in class, and he does not complete worksheets. While he used to enjoy school and received good report cards, he now would prefer to not attend; he has stayed home with stomachaches on a few occasions. His mother acknowledges he is a very busy and active child and rarely sits still, but she indicates she has never had any concerns about this, nor does she find his behavior at home problematic. She is not aware of any family history of ADHD, but she says he is like is father who is also a very active person and rarely likes to sit still. Dad and son do lots of things together. Mom had no difficulties with school, and she says her husband did well in school and attended college successfully as far as she knows. Utilizing DSM-5 criteria, you consider the likelihood that Steven’s behaviors fit the ADHD criteria and believe:
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