Answer:
w=15
Step-by-step explanation:
-24=-3w+21
We move all terms to the left:
-24-(-3w+21)=0
We get rid of parentheses
3w-21-24=0
We add all the numbers together, and all the variables
3w-45=0
We move all terms containing w to the left, all other terms to the right
3w=45
w=45/3
w=15
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: State the number of outcomes possible for three tossing of a coin
Since a coin has two possible outcomes and is tossed three times, the total outcomes will be:
![\begin{gathered} 2^3=8 \\ 8\text{ outcomes} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202%5E3%3D8%20%5C%5C%208%5Ctext%7B%20outcomes%7D%20%5Cend%7Bgathered%7D)
STEP 2: Find the number of sample spaces for the three tosses
STEP 3: Get the outcomes of the events for which the second toss is tails
Hence, the answers are given as:
Sample Space:
![\lbrace HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\rbrace](https://tex.z-dn.net/?f=%5Clbrace%20HHH%2CHHT%2CHTH%2CHTT%2CTHH%2CTHT%2CTTH%2CTTT%5Crbrace)
The event that the second toss is tails:
Answer:
Part A: 108
Part B: 125
Part C: 1.71 x 10^-4
Part D: 0.2
Part E: 0.040
Sorry for the wait, laptop is being slow :/
I hope this helps.
Answer:
the sum of 4 and a number
4 plus a number