Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads?

P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction
Subscript 9 Baseline C Subscript 3 Baseline (0.5) cubed (0.5) Superscript 6
Subscript 9 Baseline C Subscript 3 Baseline (0.5) cubed
Subscript 9 Baseline C Subscript 3 Baseline (0.5) cubed (0.5) Superscript 9
Subscript 9 Baseline C Subscript 6 Baseline (0.5) Superscript 6

a

step-by-step explanation:

a

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: