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f(x)=x²+x⁴+2ex


Let X be a random variable that denotes the number of passengers in a train station for a given hour. What are the possible values of X?

TK. 10,000 is invest for 4 years at 5% interest. What will be the difference between simple interest and compound interest in the case?


please answer



A family has four children. If X is a random variable that pertains to the number of female children, what are the possible values of X?


Find an equation of the line passing through the given points. Use function notation to write the equation.

​(−2​,−2​) and ​(−4​,−3​)


Find an equation of the line passing through the given points. Use function notation to write the equation.

​(3​,−2​) and ​(5​,2​)


The Red Cross wants to airlift supplies into a South American country which has

experienced an earthquake. Four types of supplies, each of which would be shipped

in containers, are being considered. One container of a particular item weighs 120,

300, 250, and 500 pounds, respectively, for the four items. If the airplane to be used

has a weight capacity of 60,000 pounds and x j equals the number of containers

shipped of item j:

a) Determine the equation which ensures that the plane will be loaded to its

weight capacity.

b) If it is decided to devote this plane to one supply item only, how many

containers could be shipped of each item?


verify that -2x^2y+y^2=1 is the implicit solution of the of the differential equation (x^2-y)dy/dx + 2xy=0


Type of random varial of number of black cards from an ordinary deck of cards





  1. The average weekly loss of labour hours due to factory accidents is studied on ten labours before and after a new industrial safety awareness program. The 95% confidence interval for the difference in mean of the weekly loss of labour hours before and after the industrial safety awareness program is (2.282, 8.118) in hours. Interpret the confidence interval.
  2. A 90% confidence interval for the average salary (in RM) of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was (139,048, 154,144). Give a practical interpretation of the interval.
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