Ajar contains 10 red marbles and 15 blue marbles. if you randomly draw two marbles from the jar (without replacement), what is the probability that they are the same color?

0.5

Step-by-step explanation:

Probability is the possibility of an event happening,

probability = number of required outcomes/ number of possible outcomes

number of red marbles = 10

number of blue marbles = 15

The selection of two marbles  is done without replacement.

Pr( of same color) = RR or BB

which means; (the first is red and second is red) or (the first is blue and the second is blue)

OR in probability means adition while AND means multiplication.

Pr( of same color) =

                    =

      =0.5

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.