Count the number of positive integers less than 100 that do not contain any perfect square factors greater than 1.
Possible perfect squares are the squares of integers 2-9.
In fact, only squares of primes need be considered, since for example, 6^2=36 actually contains factors 2^2 and 3^2.
Tabulate the number (in [ ])of integers containing factors of
2^2=4: 4,8,12,16,...96 [24]
3^2=9: 9,18,....99 [11]
5^2=25: 25,50,75 [3]
7^2=49: 49,98 [2]
So the total number of integers from 1 to 99
N=24+11+3+2=40
=>
Number of positive square-free integers below 100 = 99-40 = 59
Answer:
(B) a = 41%, b = 3%
Step-by-step explanation:
The result from the survey is given below:
The second table is given as:
Now, from the first table
Total Number of Respondents =116
Therefore:
Therefore:
a=41%
b=3%
The correct option is B.
The answer is 9 for this one
Answer:
Decreases
Step-by-step explanation:
As 'n' increases the value of the (1/4) will decrease.
Say, n=1 ; 1/4
n=2 ; 1/4 * 1/4 = 1/16(because n=2, there are two 1/4s)
n= and so on
