Answer: (110.22, 125.78)
Step-by-step explanation:
The confidence interval for the population mean is given by :-

Given : Sample size = 463


Significance level : 
Critical value : 
We assume that the population is normally distributed.
Now, the 90% confidence interval for the population mean will be :-

Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)
If a set covers a range of points, including those between isolated points and can not be written as a list, it is called continuous set. Continuous set are not restricted to defined separate values, they can occupy any value over a continuous range.
Step-by-step explanation:
wapsi ki Vidya kya hai Hindi mein
We are given
sequence is 2 , 4 , 8 ,16 , 32 , .....
Firstly , we will check whether it is geometric sequence
Checking geometric sequence:
We will find common ratio between successive terms
and then we check whether they are equal
r1=(second term)/(first term)

r2=(third term)/(second term)

r3=(fourth term)/(third term)

r4=(fifth term)/(fourth term)

we can see that all four ratios are same

so, this is geometric sequence
Calculation of general term:
We got
common ratio is

Let's assume
number of terms is n
first term is 2

now, we can use formula

we can plug values
and we get



..................Answer