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Two pipes empty a vat in 1hr and 12 min. When one pipe is used to fill and one to empty the vat, it is filled in 3 hrs. How long would it take each pipe to empty the vat if only one pipe is open?
It is claimed that the average weight of babies at birth is 3.4 kg. The average weight of the random
sample of 30 newly born babies was determined. It was found out that the average weight was 3.1 kg.
Is there a reason to believe that the average weight of babies at birth is not 3.4 kg.? Assume that the
population standard deviation is 1.1 kg. Use the 0.05 level of significance
1) What are the null hypotheses and alternative hypotheses of the research scenario?
2) What is the level of significance?
3) What is the test statistic?
4) What is the critical value in the scenario?
5) What could be the conclusion?
The Head of the Math Department announced that the mean score of Grade 11 students in the first
midterm examination in Statistics and Probability was 89 and the standard deviation was 12. One
student believed that the mean score was less than this, randomly selected 34 students and computed
their mean score. She obtained a mean score of 85. At 0.01 of level of significance, test the student’s
belief.
1) What are the null hypotheses and alternative hypotheses of the research scenario?
2) What is the level of significance?
3) What is the test statistic?
4) What is the critical value in the scenario?
5) What could be the conclusion?
a. Critically explain why you would consider the concept of using methods in your program again running a couple of if-else statements.
b. Declare a method with three arguments all of the type int. The method should return the greatest of the three arguments, however, if any two or all three are the same, your method should return that value.
c. Embed your method in a complete program that requests for three variables all of the types int and displays the conditions explained in “b” above.
What were the expected and observed results of Geiger and Marsden's alpha particle experiment? Explain with the help of suitable diagrams
Write a program that prints integers that are multiples of 5 in the range of 5 to 50. Name the program as follows: multiples_while.cpp. while loop program
Try to write pseudocode and create a flowchart for a program that calculates the average of three grades and prints the average.
The word GOOD should be printed only if the average is more than 80.
Determine the crippling load for a T-section of dimensions 10 cm. x 10 cm x 2 cm and of length 5 m when it is used as strut with both of its ends hinged. Take Young's modulus, E2.0x10^5 N/mm^2
A welded joint, as shown in Fig. is subjected to an eccentric load of 2500 N.
Find the size of the weld, if the maximum shear stress in the weld is not to exceed
50 N/mm 2
A double riveted double cover butt joint in plates 20 mm thick is made with 25 mm diameter rivets at 100 mm pitch. The permissible stresses are:
= 120MPa T = 100MPa 0 150MPa Find the efficiency of joint, taking the strength of the rivet in double shear as twice than that of single shear.
