Hey there!!
The basic slope-intercept formula :
y = mx+ b where ' m ' is the slope and ' b ' is the slope-intercept.
Given equation : 7x - 2y = 8
We will have to isolate the ' y '
... 7x - 2y = 8
Subtract 7x on both sides
... -2y = -7x + 8
Divide by - 2 on both sides
... y = ( 7x / 2 ) - 4
Hence,
slope = 7/2 = 3.5
y-intercept = ( 0 , -4 )
Hope it helps!!
Answer:
4 - 2 - 3 - 1 - 5
Step-by-step explanation:
The substitute method consists of the following steps:
- Solve for either x or y in one of the equations.
- Substitute the expression you got into the other equation
- Simplify and solve for the variable that remains.
- Back substitute and solve for the first variable.
- Check your solution
Answer:
Part A:
The probability that all of the balls selected are white:

Part B:
The conditional probability that the die landed on 3 if all the balls selected are white:

Step-by-step explanation:
A is the event all balls are white.
D_i is the dice outcome.
Sine the die is fair:
for i∈{1,2,3,4,5,6}
In case of 10 black and 5 white balls:






Part A:
The probability that all of the balls selected are white:


Part B:
The conditional probability that the die landed on 3 if all the balls selected are white:
We have to find 
The data required is calculated above:

The fact that it can turn its head 180 degrees is just extra information. They tell us that it is 10.5 cm long. What they're asking for is the length in a mixed number, so 10.5 as a mixed number.