It is standard in some programming languages for the number zero to represent one of the truth values (either true or false) and for positive numbers to represent the other truth value. If assigned correctly, the operations of addition and multiplication will then correspond to conjunction and disjunction, in some order. Figure out how to make this all work out neatly.

write a MATLAB script that plots the two functions ( y=(2x^2)-(3x)-4 and y=4sin(2Pix) - 1 ) in the same figure for x in [-1,3]. Add a title, x-label, y-label, and legend. ( MATLAB code and graph with all descriptions.)

A product with an annual demand of 900 units has Co = $18.50 and Ch = $7. The demand exhibits some variability such that the lead-time demand follows a normal probability distribution with µ = 26 and σ = 6. Note: Use Appendix B to identify the areas for the standard normal distribution.

a) What is the recommended order quantity? Round your answer to the nearest whole number.

b) What are the reorder point and safety stock if the firm desires at most a 5% probability of stock-out on any given order cycle? If required, round your answers to the nearest whole number.

Record point =

Safety stock =

c ) If a manager sets the reorder point at 32, what is the probability of a stock-out on any given order cycle? If required, round your answer to four decimal places. P(Stockout/cycle) =

The doctor orders a continuous infusion (IV) of morphine for a post-operative teenager of 200 mcg/kg q 3 hr. The teenager weighs 105 lbs. You have 2 mg/mL solution of morphine available for IV injection. STATE THE ANSWER IN SCIENTIFIC NOTATION AND CORRECT NUMBER OF SIGNIFICANT FIGURES

a. What rate of infusion (mL/hr) should you set for the IV drip?

b. The continuous infusion device can only hold a total of 25 mL of morphine solution. How long will it be before you have to replace the morphine solution? Express your answer in hours with the remainder converted to minutes. (i.e. your answer should be something like “in 3 hours and 14 minutes”).

With a certain medical insurance​ policy, the customer must first pay an annual ​$100 ​deductible, and then the policy covers 80​% of the cost of​ x-rays. The first insurance claims for a specific year submitted by a person are for two​ x-rays. The first​ x-ray cost ​$620​, and the second​ x-ray cost ​$960. How​ much, in​ total, will he need to pay for these​ x-rays?

Device a system of equations that would have this solution (3k-4, k, 5k+1)

Assume the a star orbits the center of the Galaxy in 340 million years at a distance of 40,000 light-years. Given that D3=(M1+M2)×P2D3=(M1+M2)×P2, where DD is the orbital distance (in AUs) and PP is the orbital period (in years), what is the mass of the Galaxy within the star's orbit? (Hint: 1 light-year = 63,240 AU).

Ike’s Bikes is a major manufacturer of bicycles. Currently, the company produces bikes using only one factory. However, it is considering expanding production to two or even three factories. The following table shows the company’s short-run average total cost (SRATC) each month for various levels of production if it uses one, two, or three factories. (Note: Q equals the total quantity of bikes produced by all factories.)

Average total cost (dollars per bike)

Suppose Ike’s Bikes is currently producing 25 bikes per month in its only factory. Its short-run average total cost is

per bike.

Suppose Ike’s Bikes is expecting to produce 25 bikes per month for several years. In this case, in the long run, it would choose to produce bikes using   .

On the following graph, plot the three SRATC curves for Ike’s Bikes from the previous table. Specifically, use the green points (triangle symbol) to plot its SRATC curve if it operates one factory (SRATC1SRATC1); use the purple points (diamond symbol) to plot its SRATC curve if it operates two factories (SRATC2SRATC2); and use the orange points (square symbol) to plot its SRATC curve if it operates three factories (SRATC3SRATC3). Finally, plot the long-run average total cost (LRATC) curve for Ike’s Bikes using the blue points (circle symbol).

Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically.

Plot SRATC1 SRATC2 SRATC3 SRATC

200

180

160

140

120

100

0 25 50 75 100 125 150 175\

In the following table, indicate whether the long-run average cost curve exhibits economies of scale, constant returns to scale, or diseconomies of scale for each range of bike production.

1. A large insurance company wants to determine whether the proportion of male policyholders who would not submit auto insurance claims of under $500 is the same as the proportion of female policyholders who do not submit claims of under $500. A random sample of 400 male policyholders produced 272 who had not submitted claims of under $500, whereas a random sample of 300 female policyholders produced 183 who had not submitted claims of under $500

a) Construct a 90% confidence interval for the difference between the proportions of males and of females who had not submitted auto insurance claims of under $500.

b) Find the p-value of the appropriate test.

In a random sample of 10 LAS students, the sample mean time spent studying during a particular week was 15.7 hours with sample standard deviation 3.1 hours. In a random sample of 8 Engineering students, the sample mean time studying during the same week was 20.2 hours per month with sample standard deviation 4.4 hours. Assume that the two populations are normally distributed.

a) Assume that the two population variances are equal. Construct a 95% confidence interval for the difference between the overall average times Engineering and LAS students spent studying during this week.

b) Since the larger sample variance is more than twice as big as the smaller one, the assumption of equal variances is questionable here. Construct a 95% confidence interval for the difference between the overall average times Engineering and LAS students spent studying during this week without assuming that the two population variances are equal. Use Welch’s T.

You have a health plan with a $5,000 deductible, a 20% co-insurance and a $10,000 out of pocket maximum.

You need surgery, which will require 3 days in the hospital. The hospital bill is $150,000 total.

How much will you pay?

What time of hypothesis testing can you do for this research question?

The main question is: What is the relationship between "US politics influence” and the “use of health care”?

Which variables can you test in order to see the relationship between "US politics influence” and the “use of health care”

(For example: in 2018, the Trump administration cut back on a lot of health care policies therefore I can test the relationship between death in a hospital and the amount of people not covered by insurance for the year 2018 vs. the relationship between death in a hospital and the amount of people not covered by insurance for the year 2016 (when Obama was in office)

What hypothesis testing can be done in order to see if the relationship exists?