Answer:
0.0083 = 0.83% probability that the boys will stand in alphabetical order from left to right in the picture
Step-by-step explanation:
Probability:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
Arrangments of x elements:
The total number of arrangments of x elements is given by:

Desired outcomes:
Standing in alphabetical order, so only 1 possible outcome, which means that 
Total outcomes:
Arrangments of 5 people, so

Probability:

0.0083 = 0.83% probability that the boys will stand in alphabetical order from left to right in the picture
Answer:
no
Step-by-step explanation:
Answer:
Certain
Step-by-step explanation:
If she buys all of them, no one else has a chance because there is no other tickets
Answer:

![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Step-by-step explanation:

Solving for exponents and multiplying:


Subtracting:

![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Answer:
b) log8 4 + log8 a + log8 (b- 4) - 4 log8 c
Step-by-step explanation:
The given expression is log8 4a ((b - 4) ÷ c^4)
Here we have to use the quotient rule.
log(a/b) = log a - log b
log8 4a (b- 4) - log8 4a(c^4)
Using the product rule log(ab) = log (a) + log (b)
log8 4a + log8 4a(b-4) - log8 4a - log8 (c^4)
log8 4a(b - 4) - log8 (c^4)
log8 4a + log8 (b- 4) - 4 log8 c
Again using the product rule.
log8 4 + log8 a + log8 (b- 4) - 4 log8 c
So it is b.
Thank you.