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Solve the system of linear equations using matrix inverse method.
x-y+z=1
2y-z=1
2x+3y=1
Write C++ statements to do the following: (7)
(i) Define a pointer type int_ptr for pointer variables that contain pointers to int variables. (ii) Declare p2 to be a pointer to an int.
(iii) Obtain an integer value nrElements from the user indicating the number of elements to allocate.
(iv) Dynamically allocate an array of nrElements integers and store its address in p2.
(v) Declare an int array a with 500 elements.
(vi) Assume p2 has been initialized and copy the elements of p2 one by one to the corresponding elements in a.
(vii) Free the memory allocated to the variable that p2 is pointing to.
For each of the following, write a single C++ statement that performs the identified task. (7)
(i) Declare two variables fPtr1 and fPtr2 to be pointers to objects of type double.
(ii) Create a dynamic variable to which fPtr1 points.
(iii) If the pointer fPtr2 is undefined (i.e. it does not point to any variable), let it point to the same variable that fPtr1 points to.
(iv) Print the address of the object pointed to by fPtr1.
(v) Print the value of the object pointed to by fPtr2.
(vi) Release the memory occupied by the dynamic variable to which fPtr1 points.
(vii) Assign null values to the pointers fPtr1 and fPtr2
A medical centre reports that the average cost of rehabilitation for stroke victims is 24672 BD. To see if the average cost of rehabilitation is different at a particular hospital, a researcher selects 35 victims at random and find the average cost is 26343 BD. Standard deviation is 3251 BD. At α=0.01, can it be concluded that the average cost of rehabilitation at a particular hospital is different form 24672 BD
4. Number of calls coming to customer care of mobile company per minute is a poisson random variable with mean 5. Find the probability that no calls are in certain minute.
A nutritionist wants to know the populatiin proportion of grade 11 students who eat vegetables. Pegged at a confidence of 95% survey among 1200 respondents was conducted and 200 said that they eat vegetables.
a.What is the margin of error?
b.Construct the confidence interval
c.Find the length of the confidence interval
A nutritionist wants to know the population proportion of grade 11 students who eat vegetables . Pegged at a confidence of 95% survey among 1200 respondents was conducted and 200 said that they eat vegetables. What is the margin of error???
45* . Prove that if a, b, c are three different integers, then there exist in-
finitely many positive integers n such that a+n, b+n, c+n are pairwise rel-
atively prime.
44. Prove that if a and b are different integers, then there exist infinitely
many positive integers n such that a+n and b+n are relatively prime.
43. Prove that there exists an increasing infinite sequence of tetrahedral
numbers (i.e. numbers of the form Tn = 1/6 n(n+ 1)(n+2), n = 1,2, ... ), such
that every two of them are relatively prime.
