There are 10 yellow, 6 green, 9 orange, and 5 res cards in a stack of cards turned face down. once a card is selected, it is not replaced. determine each probability.

p(2 yellow cards)

10+6+9+5= 40

So there are

are yellow cards are green cards are orange cards red cards

now we have to get the percentages

=

=  

=  

=  

so the probability of getting...

yellow is 25%

green is 15%

orange is 22.5%

red is 12.5%

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.