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Show that every group of order 5*7*47 is abelian and cyclic.


How much work is needed to move a proton from a point with an potential of +75 V to a point where it is -25 V?

Calculate the percent composition of Iron and oxygen in the product if the mass of iron is 7.874g and mass of oxygen is 1.429g


If the work required to speed a car from 10 km/h to 20 km/h is 5.0 x 103 J, what would be the work required to increase its speed from 20 km/h to 30 km/h.


What is the largest three digit number that you can make if you use 20 stripes?


In an experiment one finds that a force of 160 N produces a stretch of 8.00 cm in a

given spring. What is the spring constant of the spring?  



II. Determine if one-tailed test or two-tailed test fits the given alternative hypothesis.


1. The mean height of Grade 12 students is less than 66 inches.

Answer: ___________________________


2. The standard deviation of their height is not equal to 5 inches.

Answer: ___________________________


3. Male Grade 7 and Grade 12 students differ in height on average.

Answer: ___________________________


4. The proportion of senior male students’ height is significantly higher than the senior female students.

Answer: ___________________________


5. The average grade of Grade 11 students in Statistics is lower than their average grade in Calculus.

Answer: ___________________________


. If the stress produced in stretching a wire is 5.00 x 10 6 N/m2 by an applied force of

10.0 N, what is the cross-sectional area of the wire?  


I. State the null and alternative hypothesis for each statement.

1. A light bulb manufacturer claims that the mean life of a certain type of light bulb is more than 750 hours.

  H0: _____

  Ha: _____

2. A study claims that the mean survival time for certain cancer patients treated immediately with chemotherapy and radiation is 24 months.

  H0: _____

  Ha: _____

3. A medical trial is conducted to test whether or not a new medicine reduces uric acid by 50%.

  H0: _____

  Ha: _____

4. We want to test whether the general average of students in Math is different from 80%.

  H0: _____

  Ha: _____

5. We want to test whether the mean height of Grade 8 students is 58 inches.

  H0: _____

  Ha: _____

Determine the area of the region bounded by x = y²-y-6 and x = 2y +4.

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