Answer: 5.5
Hope this help :)
Since 9 is 3², each digit in base nine takes two digits in base 3.
2₉ = 02₃
6₉ = 20₃
7₉ = 21₃
1₉ = 01₃
Putting it together
2671₉ = 2202101₃
For this case we must solve the following equation:
For this, we follow the steps below:
We find the Neperian logarithm on both sides of the equation to remove the variable from the exponent
We use one of the logarithm properties to extract x from the exponent:
We subtract xln (7) on both sides of the equation:
We take x common factor:
We divide between
on both sides of the equation, then:
Answer:
If the school has 3000 students, there are
.. (3000 -30)/27 = 110
homerooms with 27 students.
Then there were 3*110 +4 = 334 participants in the survey.
A 99% confidence interval will be wider compared to a 95% confidence interval. This is because while you don't know what the true value of mu is, you are more confident that the parameter is in the interval.
In essence, you are casting a wider net which leads to the higher level of confidence. Imagine if there was a 100 mile stretch of straight land, and somewhere on this line was a special rock that you are looking for. You would be 100% confident if you said "the rock is somewhere on that piece of land", and less confident the more you shrunk the interval.
