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The Ranch 888 Noodle Company sells two types of dried noodles: ramen, at $6.50 per box, and chow fun, at $7.70 per box. So far this year, the company has sold a total of 110,096 boxes of noodles, yielding a total revenue of $748,458.40.


How many boxes of ramen noodles has the Ranch 888 Noodle Company sold this year?


Suppose you toss a coin 100 times and get 66 heads and 34 tails. Based on these results, what is the probability that the next flip resuming a tail



Solve (D^3-6D^2D'+12DD'^2-8D'3)z=e^2x+y

2x+5 < 7-8x


A knuckleball thrown with a different grip than that of the problem above has left/right

position as it crosses the plate given by

f(W) =

(0.625/w2)(1-sin (2.72w+π/2))

Again, use graphical and tabular evidence to make a conjecture about the lim f(w) as w approaches 0 from the right.


In a recent study, it is found that a person in a city has a 40% chance of being infected by the



flu virus. 20% of those who have been infected with the virus are symptoms free while 10% of



those who are not infected show the symptoms.



i) Draw a tree diagram to summarize the above information and label all necessary



information, including the intersection probabilities.

verify the function u(x,y)=e^xsiny is one of the solution of uxx+uyy=0



a) A manufacturer has developed a new shing line, which the company claims has mean breaking strength of 15 kilograms with a standard deviation of 0.5 kilograms. To test the claim, a random sample of 50 lines will be tested. The rejection region to be used is dened to be \bar{X} < 14:9.

i) State the null and alternative hypotheses.

ii) Find type I error probability, "\\alpha" ,

iii) Evaluate "\\beta" or the alternative "\\mu" = 14.8.

iv) Evaluate power function for the alternative "\\mu" = 14.8.


b) Suppose that we wish to test the hypothesis H0 : "\\mu" = 68 kg versus H1 : "\\mu" > 68 kg, for weights of male students at a certain college, using "\\alpha" = 0.05 level of signifi cance, when it is known that "\\sigma" = 5.

i) Find the sample size required if the power of the test is to be 0.95

when the true mean is 69 kg.

ii) For what values of \bar{X} will the null hypothesis be rejected?

P(-3.10<z<1 90)

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