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In 2022, a study was conducted that was focused on the salaries of individuals immediately (within 6 months) after graduating college. The study found that the average salary that someone earned immediately after graduating college was $55,260. Assume this data is normally distributed and the true standard deviation is known to be $10,500.   Find the probability as a decimal that a randomly selected college graduate’s salary immediately after graduation  makes anywhere from $38,000 to $80,000.  (Type your answer as a decimal rounded to 3 decimal places. So if you thought the answer was 0.12345 then you would type in 0.123)

A High School Athletics Participation Survey was conducted by the National Federation of State High School Associations in conjunction with NCAA. As part of the survey, data was collected on the number of high school athletes that compete in various sports, as well as how many of those individuals went on to compete in those same sports at the Division I, Division II, or Division III level.  In the table below we can see the data collected for 5 unique sports and how many individuals competed in each one at the various Division levels in college (163,047 total in table). We will assume for this problem that none of the student athletes included in the table below competed in more than one of the sports listed, and that they each competed in a single Division at the collegiate level.    College Athletes by Division College Sports Division I Division II  Division III Women’s Track & Field 12926 7181 8617 Men’s Soccer 5623 6489 12112 Women’s Basketball 5154 4725 6872 Men’s Football 28174 19505 26007 Women’s Softball 6190 5826 7646   Calculate the probability that a randomly selected student-athlete from this group is on a Women’s Track & Field team or is a Division II athlete. (Please type in your answer as an unsimplified fraction. So if you thought the answer was 80/100, you would type in your answer as 80/100)

A 34-year-old man presents to the emergency department after twisting his ankle while playing soccer. He reports immediate pain around the medial ankle and is unable to bear weight. Examination reveals tenderness over the medial malleolus, mild swelling of the ankle, and tenderness along the proximal lateral calf. Ankle radiographs demonstrate widening of the medial clear space without an obvious distal fibular fracture. Additional radiographs of the tibia and fibula are obtained and are shown below. Which of the following is the most accurate diagnosis and appropriate next step?

A 3-year-old child presents to the clinic with a fever, inspiratory stridor, hoarseness, and a harsh “barky” cough. A frontal neck radiograph demonstrates symmetric tapering of the upper trachea. Which radiographic finding is most consistent with this patient’s diagnosis?

A 74-year-old woman slips on ice and lands on her outstretched hand. Radiographs demonstrate a distal radius fracture with dorsal angulation. Which fracture is present?

Following reduction of a radial head subluxation, which finding best confirms successful reduction?

A 30-year-old man is brought to the emergency department after a motor vehicle collision. He develops acute respiratory distress, hypotension, tachycardia, and absent breath sounds over the right hemithorax. The chest radiograph is shown below. Which of the following radiographic findings is most consistent with the diagnosis?

A patient splashes concentrated alkaline drain cleaner into both eyes. Which intervention is the highest priority?

A chest radiograph demonstrates loss of the right heart border while the remainder of the cardiac silhouette is preserved. Which lobe is most likely involved?

A healthy 27-year-old presents with a simple corneal abrasion confirmed by fluorescein examination. There is no penetrating injury or retained foreign body. Which management plan is most appropriate?