Answer:
0.3 hour or 18 minutes
Step-by-step explanation:
How long means, we are to calculate the time(t)
Hence,
Speed × time = Distance
For Neil , 11 × t
For Charlie = 9 × t
11t + 9t = 6
20t = 6
t = 6/20
t = 0.3 hour
Converting to minutes
1 hour = 60 minutes
0.3 hour = x
x = 0.3 × 60 minutes
x = 18 minutes
Therefore, it will take 0.3 hour or 18 minutes for these two to meet.
Step-by-step explanation:
Let the number be x.
ATQ,
Malachy halves the number and gets an answer of 67.3.
![\dfrac{x}{2}=67.3](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B2%7D%3D67.3)
This the equation for the given statement.
It can also be written as :
![x=2\times 67.3\\\\x=134.6](https://tex.z-dn.net/?f=x%3D2%5Ctimes%2067.3%5C%5C%5C%5Cx%3D134.6)
Hence, this is the required solution.
Answer: rational number
Step-by-step explanation:
Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written
Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: ![\frac{35}{128}](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7B128%7D)
Step-by-step explanation:
We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.
This is the combination question.
The total combinations will be: 2^7=128
Now, finding number of ways we can get exactly 4 tiles:
We will use the formula:
![^nC_k=\frac{n!}{k!(n-k)!}](https://tex.z-dn.net/?f=%5EnC_k%3D%5Cfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D)
in our given question, n= 7, k= 4
Putting values:
![^nC_k=\frac{n!}{k!(n-k)!}\\^7C_4=\frac{7!}{4!*3!}\\ ^7C_4=\frac{7*6*5*4!}{4!*3!}\\ ^7C_4=\frac{7*6*5}{6}\\ ^7C_4=35](https://tex.z-dn.net/?f=%5EnC_k%3D%5Cfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D%5C%5C%5E7C_4%3D%5Cfrac%7B7%21%7D%7B4%21%2A3%21%7D%5C%5C%20%5E7C_4%3D%5Cfrac%7B7%2A6%2A5%2A4%21%7D%7B4%21%2A3%21%7D%5C%5C%20%5E7C_4%3D%5Cfrac%7B7%2A6%2A5%7D%7B6%7D%5C%5C%20%5E7C_4%3D35)
So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: ![\frac{35}{128}](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7B128%7D)
Keywords: Probability
Learn more about Probability at:
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