Cast a die a number of independent times until a six appears on the up side of the die. (a) find the pmf p(x) of x, the number of casts needed to obtain that first six. (b) show that =1 p(x) = 1. (c) determine p(x = 1,3,5, (d) find the cdf f(x) = p(x ≤ x).

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

11) obtuse

13)right

15) acute

the answer is a

step-by-step explanation: