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Lelu [443]
3 years ago
12

Buses to acton leave a bus station every 24 minutes. Buses to barton leave the same bus station every 20 minutes. A bus to acton

and a bus to barton both leave the bus station at 9.00am
Mathematics
1 answer:
Annette [7]3 years ago
7 0

Answer: 11a.m

Step-by-step explanation:

Here is the complete question:

Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave the same bus station every 20 minutes. A bus to Acton and a bus to Barton both leave the bus station at 9 00 am. When will a bus to Acton and a bus to Barton next leave the bus station at the same time?

For us to solve this, we have to find the least common multiple of 24 and 20 which is finding the multiples of 20 and 24.

20 = 20,40,60,80,100,120

24= 24,48,72,96,120

The least common multiple of 20 and 24 is 120min. Since 60 minutes make 1 hour, 120 minutes will be 2 hours.

Since they both leave at 9a.m. The next bus will leave at:

9am + 2hours = 11am

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A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times?
GaryK [48]

The required probability of the coin landing tails up at least two times is 15/16.

Given that,
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times is to be determined.

<h3>What is probability?</h3>

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
In the given question,
let's approach inverse operation,
The probability of all tails  = 1 / 2^7 because there is only one way to flip these coins and get no heads.
The probability of getting 1 head = 7 /2^7
Adding both the probability = 8 / 2^7
Probability of the coin landing tails up at least two times = 1 - 8/2^7
                                                                                     = 1 - 8 / 128
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Thus, the required probability of the coin landing tails up at least two times is 15/16.

Learn more about probability here:

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