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A string of length l has it's ends x=0 and x=l fixed. It is released from its rest in position y=[4 lamda x(l-x)]/l². Find an expression of the displacement of the string at any subsequent time.

If the truth value of p is "false", the truth value of q is "false", and the truth value of r is "true", which of the following expressions is "false"?


Find a general solution of (4D^2+4D+17)y= 0

In a journal, an article reported that the results of a peer tutoring program to help special children with disabilities learn to read. In the experiment, the children were randomly divided in two groups: the experimental group received peer tutoring along with regular instruction; and the control group received regular instruction with no peer tutoring. There were 30 children in each group. A test was given to both groups before instruction began. For experimental group, the mean score on the test was �𝑥�1� = 344.5 with sample standard deviation s1 = 49.1. For the control group, the mean score on the same test was �𝑥�2 = 354.2 with sample standard deviation s2 = 50.9. Use a 5% level of significance to test the hypothesis that there was no difference in the test of two groups before the instruction began.

What is the probability of cat weight between 5.25 kg and 6.81 kg


A professor grades students on two tests, three quizzes, and a final  examination. Each test counts the same as three quizzes and the final  examination counts the same as two tests. Maegan has test scores of 87  and 96. Maegan’s quiz scores are 86, 72, and 83. Her final examination  score is 93. Use the weighted mean formula to find Maegan’s average  for the course. The professor rounds averages to the nearest integer. 



An event has 50 female contestants and 13 male contestants. A random sample of 12 contestants is drawn. What is the probability that exactly 8 of the contestant will be female?

Assuming the mean and SD are the same for this year’s national exam, what percentage of test-takers scored above and below you if your score is 1900 and given that X ~ N(1600, 140). Using the empirical rule, find the percentage of students who scored between 1880 and 1920?


(2x+y-4)dx+(x-3y+12)dy=0 solve using COEFFICIENT LINEAR IN TWO VARIABLES


There are 21 pupils in a grade 7 class. The class teacher has to choose eight of the pupils for a group that will visit Germany in three months time. In how many different ways can the teacher select pupils for the group ?

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