An=a1r^(n-1)
given
a5=1/24
a10=1/768
we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)
so
1/24=a1r^4
1/768=a1r^9
(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32
r^5=1/32
take 5th root of both sides
r=1/2
we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3
the first term is 2/3
That'd be a total of 6 km east and 4 km north.
The distance traveled from Carol's starting point, along the path described, is
1 km + 4 km + 5 km = 10 km.
However, if you want the straight line distance from starting to end point, that would be found using the Pyth. Thm.:
sqrt [ (6 km)^2 + (4 km)^2 ] = sqrt(52) = 2sqrt(13) km
Answer:
<u>The correct answer is 1. Hurricanes</u>
Step-by-step explanation:
To successfully perform this study, the population to be analyzed must be the total hurricanes that have happened in the last 50 years. If the population is reduced to only hurricanes that have caused damages of more than US $ 1 Million, we would be skewing the research, leaving many of the dispersion and central tendency analysis invalid. The objective is to obtain conclusions from all hurricanes and not only from a subset of them.
Answer:
T= (9)($.25) + $6.75
Step-by-step explanation:
total cost = 9($.25) + $6.75
Answer:
2/7
Step-by-step explanation:
Like it says it is the same as monty hall with 3 doors.
You have 7 doors, the probability of the car being in each door is 1/7. After you pick one the probability of the car being in the other doors is 6/7, then he opens 3 doors showing only goats but the probability of it being in one of all the remaining doors is still 6/7 because you made a 1/7 probability choice when you picked your door. Meaning the remaining 3 doors have a probability of 6/7, then 2/7 each