1.a how many permutations of the 9 letters 'a, b, c,d, e, f, g, h, i' do not have the vowels next to each other?
b. how many positive integers less than 1000 consists of distinct digits from {1, 3, 7, 9}.
c. what is the probability that the bit string of length 10 has more 0's than 1's?
d. if r is a relation on {w, x, y, z} where r = {(w, w), (w, x), (x, w), (x, x), (x, z), (y, y), (z, y), (z, z)}, determine whether the binary relation is: (1) reflexive, (2) symmetric, (3) antisymmetric, (4) transitive.
e. how many permutations of the letters m, n, o, p, q contain the string mn or the string mo or the string op-last year exam?

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

a long term investor

step-by-step explanation:

because he is a long term investor

answer: the center is the median and/or mean of the data. the spread is the range of the data. and, the shape describes the type of graph. the four ways to describe shape are whether it is symmetric, how many peaks it has, if it is skewed to the left or right, and whether it is uniform. good luck

step-by-step explanation:

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.