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?

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4

easy its decreasing

step-by-step explanation:

because its top point is at the to of the graph on the left side (atleast from the veiw i see it) now if that top point wast in the lower part of the graph it would be increasing hope this have a nice day

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.

step-by-step explanation:

se a cavasery6