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Use the localised electron model to describe the bonding in hydrogen cyanide and phosgene(cocl2)


. A new machine is being considered to replace the



old machine being used. This new machine was



tested for 10 consecutive hours with the following



output: 119, 122, 118, 122, 120, 124, 126, 125, 125,



and 124. If the average output per hour using the old



machine is 120 units, is the management justified in



stating that the output per hour can be increased with



the new machine? Use a 0.01 level of significance.

Maximize z = 15x1+45x2




Subject to x2<= 50, x1+1.6x2<= 240, 0.5x1+2x2<=162 and all x1,x2=>0.




If Maximize z° = c1x1+c2x2 and c2 is fixed at 45, determine how much c1 can be changed without affecting the above optimal solution.

  1. A manufacturer of juices claims that all labeled 1.5 liter bottles contains an average of 1.49 liters of soft drinks. A retailer wishes to test whether the mean amount of juice in a labeled 1.5-liter bottle is not more than 1.49 liters. With 0.05 level of significance.

Q.3A population consists of five numbers 1, 3, 4, 5, and 7. (i) Enumerate all possible samples of size two which can be drawn from the population without replacement. (ii) Calculate the mean and variance of the population. (iii) Show that the mean of the sampling distribution of the sample means is equal to the population mean. (iv) Calculate the standard error of the mean.


(x²D²-xD+4)y=cos(logx)

the waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes


A simple random sample of 15 people from a certain population has mean age of 25 with a standard deviation of 10. Can we conclude that the mean age of the population is younger than 25? Let alpha = 0.05

  • Formulate the hypothesis: the null hypothesis and the alternative hypothesis.
  • Set the significance level for a. type of test critical value of z/t
  • Compute the z-statistic or t-statistic
  • Decision: compare the computed value of z or t with the Critical value.
  • Conclusion

can anyone help me with this? please :(


The scores of 9 students in 6 quizzes are: 78, 85, 82, 84, 72, 75, 87, 95 and 90. Find the sample mean and standard deviation. Construct the 99% estimate interval for the 6 scores.




Iron Man Merchandise sells a set of stainless steel trays to Dora’s Cookie Shop with a list price of ₱2,500 and qualifies for a 30% ,compute for the NET PRICE. . using (a) discount method  and (b) complement method.


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