Question 11 (5 points)
A random number generator chooses 2 numbers between 1 and 5. This table
demonstrates all possible outcomes:
I
1
2
3
4
1,1
2,1
3,1
4,1
5,1
1,2
2,2
3,2
4,2
5,2
1,3
2,3
3,3
4,3
5, 3
1,4
2,4".
3,4
4,4
5,4
|
1
|
1,5
2,5
3,5
4,5
5,5
What is the probability that the computer will not pick a 5 on either turn?
O 0.2
O 0.4
O 0.6
0
0.64

.2

Step-by-step explanation:

Add all the possible outcomes which is 32, then seperate the number of times  5 WILL appear which is 9. Divide 9 by 32 which equals 28% and turn that into a decimal. The answer is .2 hope this helps!!

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

soo this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368