An urn contains 25 marbles. 15 are red, 8 are orange, and 2 are blue. you select two marbles. what is the probability of getting a red marble on the first draw and an orange marble on the second draw if you select

The total number of marbles in the urn = 25 marbles

Number of red marbles in the urn = 15 marbles

The probability of picking the first one as red = Number of red marbles/ total number of marbles =  15/25 = 3/5

Now, for the second draw, number of marbles = 24 (Since you already picked one)

Total number of orange marbles = 8

The probability of picking the second one as orange = Number of orange marbles/ total number of marbles = 8/24 = 1/3

Probability of picking a red in the first draw and an orange in the next draw =3/5*1/3  = 1/5

Probability of picking a red in the first draw and an orange in the second draw  = 1/5

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

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.