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A division wide aptitude test in mathematics was conducted to 1000 pupils. The mean of the test is 58 and the standard deviation is 12. The scores also approximate the normal distribution. What is the minimum score to belong the upper 20% of the group?


The current through a circuit, in which emf of a cell ε = 120V and internal


resistance r = 0.01Ω is connected with load R= 1000Ω, is:


  1. Directions: Determine each of the following areas and show these graphically. Use probability notation in your final answer. NOTE: Use graphing paper to graph.


1. To the left of z = 1.96 5. Below z = -1.96       9. 1.27≥z≥-2.1

2. At most z = 2.58 6. z≥1       10. z=-0.58

3. At least z = 1.96 7. z≤-1.5

4. To the right of z = 0.33 8. -0.92≤z≤1.75




For a two-tailed test with variance unknown, n=19, and a=0.05, what is the critical value?

The value that separates a rejection region from an acceptance region is called a

In a right-trailed test with a = 0.01. the critical value of z is

If the power series {summation} an xn converges uniformly in ] α ,β [ then so does {summation} an (-x)n . true or false ? Justify


Check whether the series {Summation} n2x5/(n4+x3) , x belongs to [0, a] is uniformly convergent or not ,where a belongs to R


Angela’s physician suspects that Angela has just suffered a myocardial infarction, or heart attack. She tells Angela that she is going to take a blood sample so that the hospital lab can perform a test to confirm her diagnosis. What information can Angela’s blood yield to help the physician?


Develop a Python script that will display the exponentiation of the numbers in every line of a text file where the first number is the base and the second number is the exponent.


TEXT FILE


8 3


4 5


6 2


OUTPUT


512


1024


36

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