Permutations and Combinations Questions

In which of the following spans in R³ lies the vector [5,-1, -2]? span{ [0, 1, 0], [0, 1, 1]} span{[1, 0, 0], [0, 0, 1]} span{[7,-4,0], [-2,3,-2]} span{[0, 1, 0], [0, 1, 1],[1,1, 1]}

These two hexagons are similar. Find the area of the smaller one.

Write down the chromatic polynomials of (i) the complete graph K6; (ii) the complete bipartite graph K1.5. In how many ways can these graphs be coloured with 7 colours?

Applying Time Value. You invest $1,000 today and expect to sell your investment for $2,000 in 10 years. (LO1) A. Is this a good deal if the discount rate 6%? B. What if the discount rate is 10%?

Find the area of the triangle ABC. a=12.4 m b=5.3 m C=15.4° What is the area of the triangle?

A couple deposits $24,000 into an account earning 3 % annual interest for 30 years. Calculate the future value of the investment if the interest is compounded quarterly. Round your answer to the

Determine the simple interest earned on $22,500 after 15 years if the APR is 15 %.

The mean score for the treatment group is 7.1 (standard deviation of 1.0) and the mean score for control group is 8.4 (standard deviation 2.2). Calculate the effect size to determine the magnitude of

Brian is 15 years old and Jeremy is 22 years old. In how many years will Jeremy be 7 years older than three times Brian's age now?

The length of a rectangle is 3 more than 5 times its width. Find the perimeter of this rectangle if its area is 92 m². [?]m

The perimeter of a rectangle is 64 cm. The length is 7 less than 2 times the width. What is the width? [?] cm

Solve the logarithmic equation. log (6x-5)= 3 221/6 None of these answers log63 +5/6 215 In(63) + 1n5