Answer:
Michael and Carlos will have the same amount after 7 weeks
Step-by-step explanation:
Assume the total number of baseball cards that Carlos and Michael need to have to be equal is y, and the amount of time in terms of weeks that it will take for this to be achieved is x.
The following expressions can be derived
For Carlos to achieve y, he will need 85 and an addition of 10 per week (x):
y=85+(10x)..........equation 1
For Michael to achieve y, he will need 120 and an addition of 5 per week (x):
y=120+(5x)..........equation 2
Equating equation 1 and 2 to solve for x
85+10x=120+5x
10x-5x=120-85
5x/5=35/5
x=7
Number of weeks it will take Michael and Carlos to have the same amount=x=7 weeks
Answer:
50.27 or 16pi
Step-by-step explanation:
Just multiply the diameter by pi
The answer is x=65.
The step by step explanation is on the paper.
Answer:
0.6462 = 64.62% probability that the person uses exactly one of the facilities
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
20 people use the gym and the track and 6 people use all three facilities
So 20-6 = 14 use exactly the gym and the track and 6 use all three.
8 people use the pool and the track
So 8 - 6 = 2 use exactly the pool and the track.
23 people use the gym and the pool.
So 23 - 6 = 17 use exactly the gym and the pool.
32 people use the track
So 32 - (6 + 14 + 2) = 10 use only the track.
60 people use the swimming pool
So 60 - (6 + 2 + 17) = 35 use only the pool.
76 people use the gym
So 76 - (6 + 14 + 17) = 39 use only the gym
What is the probability that the person uses exactly one of the facilities?
Out of 130, 39 + 35 + 10 = 84 use exactly one of the facilities.
84/130 = 0.6462
0.6462 = 64.62% probability that the person uses exactly one of the facilities
Answer:
Step-by-step explanation:
hello :
the sequence 9,-18,36 is geometric when the common ratio is:
r= 36/-18=-18/9=-2
let (An) this sequence the n-ieme term is : An=A1×r^(n-1).....A1=9 and n=9
A9=9×(-2)^8 =2304
