Correct answer only !

which statements explain that the table does not represent a probability distribution?

select each correct answer.

 a & b

Step-by-step explanation:

The sum of the probabilities should equal 1.0

a) probability of 5/3 is greater than 1 shows that the probability distributions will result in a sum greater than 1.    

b) The sum of the probabilities is 31/12 shows that the sum of the probability distributions is unequal to 1.0.

c) The result is less than 0 is irrelevant.  The data could be temperature (or something else which can be measured as a negative value).

d) The probabilities have different denominators is irrelevant. Fractions can be reduced and unlike denominators can be turned into like denominators.  The most important thing is that their sum is 1.0.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb