MAT 103 DE/MAT 202 DE Feel free to write any work on your scratch paper.  This scratch paper will be turned in via e-mail at the end of this Final Exam to earn partial credit when applicable.  Otherwise, write your final answer in the Text Box provided below. Solve each quadratic below using factoring.

MAT 103 DE/MAT 202 DE Feel free to write any work on your scratch paper.  This scratch paper will be turned in via e-mail at the end of this Final Exam to earn partial credit when applicable.  Otherwise, write your final answer in the Text Box provided below. A family is looking at a cleaning service to potentially hire for the next 12 months.  The Clean Company charges a $25 schedule enrollment fee and $15 per hour of cleaning.  The Spotless Corporation charges a $35 schedule enrollment fee and $10 per hour of cleaning.  For exactly how many hours of cleaning would both companies cost the exact same amount?  Knowing this, which company would make the most sense for you to hire?  Explain your reasoning.

A nurse in a labor and birthing unit is completing an admission assessment for a client who is at 39 weeks gestation.  The client reports that she has been leaking fluid from her vagina for 2 days.  Which of the following conditions is the client most at risk of developing if determined the leaking is from amniotic fluid for two days?

A patient asks their labor nurse about the Pitocin infusion they are on. The nurse educates the patient that Pitocin is synthetic oxytocin, and the PRIMARY role of both natural oxytocin or Pitocin is:

The nurse caring for a laboring patient undergoing an amniotomy anticipates the vaginal examination will reveal which of the following prior to this procedure to ensure safety of the fetus and decrease the likelihood of a cord prolapse?

A nurse is caring for a client brought into the emergency room with a neck injury after diving into a lake. Upon assessment his blood pressure is 85/54, heart rate is 48 beats per minute, respirations 8 breaths per minute, oxygen saturation is 89% and his skin is warm and dry. Which action would the nurse perform first?

Probiotics are live microorganisms which, when administered in adequate amounts, confer a health benefit on the host.

VOCABULARY (12 Pts) VOCABULARY A: Where are they from? (Nationalities) (3 pts) Paso 1 (2 pts)Alicia and Manuel have met new friends at the Spanish Club. Select their nationalities according to their country of origin.

The probability of a smartphone battery being defective is [b]%. Find the probability that the 15th battery randomly selected is the first one to be defective. (Round to 3 decimal places as needed.)  

**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE CREDIT!** Suppose the joint density function of X and Y are as follows:   y   x 6 8 g(x) 2 0.34 0.27 [c] 4 0.16 [a] [d]   a. Fill in f(4, 8) above. b. Calculate P(X + Y≤ 10) [b] c. Fill in the marginal distribution of x (g(x)) column. d. Calculate the mean of X. [e]