Five girls decide to spread a rumor. Within the first hour, each girl tells four other
1 answer:
Answer:
1705
Step-by-step explanation:
This is a sequence where the first term, a=5
Since each girl tells 4 other people, the number of people told after the first hour =20
Each subsequent hour, each person that knows the rumor continues to tell four more people about it.
Therefore we have the sequence: 5, 20, 80,...
This is a geometric sequence in which the:
- First term, a=5
- Common ratio, r=4
To determine the number of people, y who have heard the rumor after x hours, we simply find the sum of the geometric sequence.
Therefore, the total number of people who know about the rumor after five hours is 1705.
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Answer:
The admission cost for each player was <u>22.50</u>.
Step-by-step explanation:
Given:
Luke’s basketball team went to an amusement park at the end of the season.
The cost of the admission for 5 coaches and 12 players was 407.50.
The admission cost for each coach was 27.50.
Now, to find the admission cost for each player.
Total admission cost = 407.50.
Number of coaches = 5.
Admission cost for each = 27.50.
So, the cost of admission of all coaches:
Then, we deduct the cost of admission of all coaches from the total admission cost:
<em>Remaining cost = 270.</em>
Number of player = 12.
Now, to get the admission cost for each player we divide the remaining cost by number of players:
Therefore, the admission cost for each player was 22.50.
The odds that local amateur ice skater will win in next regional competition when probability is given will be 43 to 57.
We have,
Probability that ice skater will place first in the next regional competition i.e. P = 0.43,
And,
Now,
According to the question,
The odd when probability is given is find out by using the below mentioned formula,
i.e.
Odds =
Now,
Substituting the value of probability,
i.e.
Odds of winning this competition =
On solving we get,
Odds of winning this competition =
i.e.
The Odds of winning this competition are 43 to 57.
Hence we can say that the odds that local amateur ice skater will win in next regional competition when probability is given will be 43 to 57.
Learn more about probability here
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