QUESTION 1 Suppose the American Medical Association Center for Health Policy Research included data, by state, on the number of community hospitals and the average patient stay (in days) in….
Find the minimum value of x2 – 5x – 7 and state the value of x when the minimum value occurs.
a) i) Find the minimum value of x2 – 5x – 7 and state the value of x
when the minimum value occurs. (3 marks)
ii) Rationarise the denominator of (2 marks)
b) i) If are the roots of the equation 2×2 – 5x – 1 = 0, find the value of . (2 marks)
ii) The expression ax4 + bx3 – x2 + 2x + 3 has remainder 3x + 5 when
it is divided by x2 – x – 2. Find the values of a and b. (3 marks)
c) Find the sum of odd numbers between 11 and 199 inclusive. (4 marks)
d) Given that sin Find the value of (i) sin 2 (3 marks)
e) Eliminate from the equations x = 2 tan and y = tan 2 . (3 marks)
f) i) Find the probability of getting three heads in five tosses of unfair
coin in which the probability of getting a head is (3 marks)
ii) Find the mean and standard deviation of the numbers 2, 3, 4, 5, 6 and 7(3 mark
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