Event A - roll a 6-number cube
Event B - flip a coin
*Independent events *not mutually exclusive events
Both events are independent and not mutually exclusive.
Independent event means that one can happen without relying on the outcome of the other one.
Not mutually exclusive event means that both can happen at the same time.
Answer:
tigers
Step-by-step explanation:
Simplifying
2c + 3 = 3c + -4
Reorder the terms:
3 + 2c = 3c + -4
Reorder the terms:
3 + 2c = -4 + 3c
Solving
3 + 2c = -4 + 3c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-3c' to each side of the equation.
3 + 2c + -3c = -4 + 3c + -3c
Combine like terms: 2c + -3c = -1c
3 + -1c = -4 + 3c + -3c
Combine like terms: 3c + -3c = 0
3 + -1c = -4 + 0
3 + -1c = -4
Add '-3' to each side of the equation.
3 + -3 + -1c = -4 + -3
Combine like terms: 3 + -3 = 0
0 + -1c = -4 + -3
-1c = -4 + -3
Combine like terms: -4 + -3 = -7
-1c = -7
Divide each side by '-1'.
c = 7
Simplifying
c = 7
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope, b is the y-intercept (when x=0).
the slope is the ratio y/x indicating how much y changes, when x changes for a certain amount of units when going from one point to another.
going from (7, 2) to (2, 12) :
x changes by -5 (from 7 to 2), y changes by +10 (from 2 to 12).
so, the slope is 10/-5 = -2
therefore, we have already
y = -2x + b
we get b by using the coordinates of one of the points as x and y. e.g. (7, 2)
2 = -2×7 + b = -14 + b
16 = b
so, the full line equation is
y = -2x + 16
30 seconds, half a minute.
