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Given z1 = 2∠45o
, ; z2 = 3∠120o and z3 = 4∠180o
. Determine the following and leave your
answers in rectangular form:
(i)
(z1)^2+z2/(z2 +z3)
(ii)
z1/z2z3
Find canonical form of Zxx +Zyy=y
A bulb manufacturer claims that the lives of its bulbs are normally distributed with a mean of 6000 hours and a standard deviation of 400 hours. A random sample of 16 bulbs had an average life of 5850 hours. If the manufacturer’s claim is correct-
a. What is the sampling distribution of the sample mean?
b. what is the probability of finding a sample mean of 5850 or less?
the 11th term of a geometric sequence is 81 and the 14th term is 3. find the 4th term
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 270 vinyl gloves, 59% leaked viruses. Among 270 latex gloves, 12% leaked viruses. Using the accompanying display of the technology results, and using a 0.10 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population
what are the null and alternative hypotheses?
identify the test statistic?
identify p-value?
conclusion?
Find the first partial derivative of
f(x,y) = "(4x-y)\/(4x+y)" at the point (4,2) for both x and y.
Fine the macaulay duration of a 10 year bond with 7% annual coupons, assuming the effective rate of interest is 7%.
Find a root of the equation cos x- e^x=0 correct to three decimal places in the
interval (0,1) after four iterations by Secant method
Emmerson invests N$100,000.00 on a monthly basis, at the end of each month at an interest rate of 8.5% compounded quarterly. a) How much will he have after 3.5 years? (6) b) How much interest does he earn on a monthly basis? (Hint: Calculate the monthly average).(4
which trinomial is equivalent to (3x - 2) (x +4)
#340153 on Dec 2023