Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not.
x −3 1 5
p(x=x) 1/2 5/8 3/4

It is a Discrete probability distribution

Step-by-step explanation:

Since the data is given by a table of discrete points with the values of "x" and its associated probability "P (X = x)", and there is no more information about the rest of the possible values of "x" , the most appropriate is to consider it a discrete probability distribution.

If the table shows frequency of occurrence of the values of "x" and it is clarified that x can take continuous values in a given interval, a continuous probability distribution could be considered to model it.

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=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.