Answer:
Step-by-step explanation:
Given
Solving (a):
This is calculated as:
Solving (b):
This is calculated as:
-- this is so because the selection is without replacement
Solving (c):
Using the complement rule, we have:
To calculate , we have:
--- Green
---- Not green
The probability that both selections are not green is:
So, we have:
Simplify
Recall that:
Take LCM
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:
The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
A 2003 survey showed that 14 out of 250 Americans surveyed had suffered some kind of identity theft in the past 12 months.
This means that
95% confidence level
So , z is the value of Z that has a p-value of , so .
The lower limit of this interval is:
The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.
Answer:
the answer is 9
Step-by-step explanation:
-3.5y - 6.2y = - 87.3
or, -9.7y = -87.3
or, y = -87.3/-9.7
or, y = 9.