Answer:
Step-by-step explanation:
Hello!
If you consider the 6-sided dice to be balanced, then each result has the same probability of occurrence: P(1)=P(2)=P(3)=P(4)=P(5)=P(6)= 
And each time Tom rolls the dice is independent of the other times, this means that you can disregard all previous rolls and calculate the 10nth time as if it is the 1st one.
Be the event A: "Tom rolled the dice for the 10nth time and obtained a 6"
The probability of A occurring will be P(A)= 1/6
On the other hand, the complement of "A" will be 
: "Tom rolled the dice for the 10nth time and didn't obtain a 6"
This means he could obtain a 1 or a 2 or a 3 or a 4 or a 5
You can calculate the probability pf this event by adding the probability of obtaining each value P()= P(1)+P(2)+P(3)+P(4)+P(5)= 1/6*5= 5/6
Or by subtracting the probability of A to the total probability of the sample space:
P()= 1 - P(A)= 1 - 1/6= 5/6
I hope this helps!
Answer: the question can only be simplified to -8z-12 because there is no equal sign.
Step-by-step explanation:
(4z - 12) - 12z
-8z-12
Solve. Note the equal sign. What you do to one side, you do to the other. Remember to follow PEMDAS.
First, distribute 5 to all terms within the parenthesis
5(w - 1) = (5)(w) + (5)(-1) = 5w - 5
Next, simplify. Combine like terms
5w - 5 - 2 = 5w + 7
5w - 7 = 5w + 7
Next, isolate the variable. Add 7 to both sides, and subtract 5w from both sides
5w (-5w) - 7 (+7) = 5w (-5w) + 7 (+7)
5w - 5w = 7 + 7
0 = 14 (Untrue).
0 solutions, or (A) is your answer
~<em>Rise Above the Ordinary</em>
Answer: x = 8
Step-by-step explanation:
8(3-2x) + 4(3x - 2) = -16
expanding the equation , we have
24 - 16x +12x - 8 = -16
16 - 4x = -16
collecting the like terms
4x = 32
x = 32/4
x = 8
Answer:
58
Step-by-step explanation:
58.58 - 0.58 = 58
