3. Choose one problem, mark it, and solve it.  (10 points) If 2,700 cm² of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Justify your answer. (8 points) Let and be two numbers such that their difference is 64. Consider the product: . Find the values of and such that the product is as small as possible. Justify your answer.       

What education strategies should a nurse implement for a client newly diagnosed with Ménière’s disease to promote better symptom management? (Select all that apply)

The nurse reviews a client’s diagnostics and recognizes signs of wet macular degeneration. What finding most likely confirms this diagnosis?

A random sample of Europeans was surveyed to assess attitudes toward the building of new nuclear power plants (Strongly favor, Favor, Oppose, Strongly oppose). In addition, respondents indicated their home country (Great Britain, France, Italy, Spain, Germany). Which statistical test is most appropriate to study data collected in this manner? Explain your decision.You are not being asked to conduct the test, but rather to decide which test you would use.

A research article indicates that students listen to different types of audio while studying in the following proportions:•    35% listen to music with lyrics •    30% listen to instrumental music •    20% listen to white noise or ambient sounds •    15% study in silenceTo test the article’s claim, a University Study Center randomly samples 200 students to study their responses to the four categories. Which statistical test is most appropriate to study data collected in this manner? Explain your decision.You are not being asked to conduct the test, but rather to decide which test you would use.

The correct compression rate for a victim is 

Compressions are performed in the same chest location for adults and children

A 2021 survey reported that 42% of community college students use online tutoring. An administrator does not believe this is accurate and requests that data be collected. A random sample of 180 students found that 86 used online tutoring. Which hypotheses are correct?

You are a daycare provider and find a three-year-old child unresponsive. She had laid down for a nap because she was not feeling well. When you checked on her, she was not breathing and appeared blue. You are by yourself. What is the first step in managing this case?

You are eating in a restaurant when a woman cries out. Her six-month-old child is turning blue around the mouth. He appears to be gagging but is not able to cry or take a breath.  What is the next step?