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The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must be produced to break even. R(x)=200x-x^2 ; c(x)=40x+5775 ; 0< or equal to x < or equal to 100 The manufacturer must produce ______units to break even.

See question below in the uploaded image: A researcher wants to study the effects of sleep deprivation on motor skills. Nine people volunteer for the experiment:

A.Students who smoke (x) earn lower grades (y) than students who do not smoke. conclusion: smoking causes poor grades. B. Expectant mothers who drink bottled water (x) have healthier babies (y) than do expectant mothers who do not drink bottled water. Conclusion: drinking bottled water causes healthier babies to be born. C. Tea Drinkers (x) are more likely to be democrats (y) than are non-tea drinkers. conclusion: drinking tea causes people to be democrats Question is… Think up a plausible variable, z, that defines a compositional difference across the values of x. describe how Z creates the relationship between X […]

Suppose N = 10 and r = 4. Compute the hypergeometric probabilities for the following values of n and x. If the calculations are not possible, please select “not possible” from below drop-downs, and enter 0 in fields. Round your answers, if necessary. n = 4, x = 2 (to 2 decimals).

A schematic spectrum of the planet Mars is shown below. Keeping in mind that Mars reflects visible sunlight and emits infrared light, refer to the numbered features of the graph and answer the following questions. For each answer, fully explain your reasoning. In your two reply posts this week, find a student that disagrees with you on one of the questions and either try to convince them of your reasoning (if you still believe you are correct), or tell them what part of their reasoning convinced you that they are correct. (The correct answers will be posted after the assignment is due!) 1) Which of […]