Sample space = HHH, HHT, HTH, THH, TTT, TTH, THT, HTT (8 possibilities)
Desirable outcomes = TTH, THT, TTH (3 possibilities)
Required probability = 3/8
Prime numbers are those numbers which cannot be divided evenly by any number other than 1 and itself.
For example, 12 is not a prime number, because it can be divided evenly by numbers other than 1 and 12 (namely, 2, 3, 4, and 6).
On the other hand, 13 IS a prime number, because it can only be divided by 1 and 13 evenly.
Just as a sidenote, numbers that are not prime numbers are called 'composite numbers'.
Hope that helped =)
Answer:
x = -75
Step-by-step explanation:
x = - 45 ( multiply both sides by 5 to clear the fraction )
3x = - 225 ( divide both sides by 3 )
x = - 75
Answer:
Simplifying
7x + -2(x + 1) = 6x + 14
Reorder the terms:
7x + -2(1 + x) = 6x + 14
7x + (1 * -2 + x * -2) = 6x + 14
7x + (-2 + -2x) = 6x + 14
Reorder the terms:
-2 + 7x + -2x = 6x + 14
Combine like terms: 7x + -2x = 5x
-2 + 5x = 6x + 14
Reorder the terms:
-2 + 5x = 14 + 6x
Solving
-2 + 5x = 14 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-2 + 5x + -6x = 14 + 6x + -6x
Combine like terms: 5x + -6x = -1x
-2 + -1x = 14 + 6x + -6x
Combine like terms: 6x + -6x = 0
-2 + -1x = 14 + 0
-2 + -1x = 14
Add '2' to each side of the equation.
-2 + 2 + -1x = 14 + 2
Combine like terms: -2 + 2 = 0
0 + -1x = 14 + 2
-1x = 14 + 2
Combine like terms: 14 + 2 = 16
-1x = 16
Divide each side by '-1'.
x = -16
Simplifying
x = -16
Step-by-step explanation: