Let A be a 4x6 matrix and B be a 6x3 matrix. The entries in both A and B are from the set of rational numbers. How many entries does the matrix AB have?

Find the t- test for the standard deviation of the two standard deviation numbers.  1. 0.75  2. 1.37

Consider the following triangle (not drawn to scale). A diagram showing a right-angled triangle. Starting from the right angle the sides are labelled nothing, square root of 2 and 1. Going round the triangle in the same order, starting from the right angle the second angle is labelled theta. Select the option that is the value of the angle marked θ. (Hint: you should not need to calculate anything as the given triangle is one of the standard triangles used to calculate useful known values of sine, cosine and tangent.)

For each integer n greater or  equal to  1. let Q be the set of all n-tuples of rational numbers. For example, Q^3 = (Vector(a,b,c) : a,b,c are elements of Q). Then the statement "Q^n" is a vector over the field of rational numbers  "Q" is true for a) some but not all integers n greater or equal to 1 b) all integers n  greater or equal to 1 c) no integer n greater or equal to 1

Assume that the variance of the returns of stocks A and B is, respectively, 16% and25%. If the covariance between the returns of stocks A and B is 0.06, calculate the correlation coefficient.

The depth ( D  metres) of water in a harbour at a time ( t  hours) after midnight on a particular day can be modelled by the function D= 4sin (0.48t-0.7) +7,  t>=12 where radians have been used. Select the  two  options which are correct statements about the predictions based on this model. Question 24Select one or more: At midnight the depth is approximately 11 metres.  The model can be used to predict the tide for up to 12 days.  At midday the depth is approximately 3.2 metres. The time between the two high tides is exactly 12 hours.  The smallest depth is 3 metres. The depth of water in the harbour falls after midnight.  The largest depth is 7 metres.

Work out the value of x in the equ (1)/(8^(17))=8^(x)

Solve 13=3x-5 x=dots

a, CIM gitr code be som lwän diverg AA x A=4x^(2)y+x^(2)-6x+13+4xy

Write 2(2)/(6) as an improper fraction. Give your answer in its lowest terms.

Complete the numerator to write 1(3)/(5) as an improper fraction. Mixed number: 1(3)/(5) Improper fraction: (2])/(5)