Answer:
14
Step-by-step explanation:
When you plug this expression into the calc, you should get 14 as your answer.
 
        
                    
             
        
        
        
Answer:
1). 0.903547
2). 0.275617
Step-by-step explanation:
It is given :
K people in a party with the following :
i). k = 5 with the probability of 
ii). k = 10 with the probability of 
iii). k = 10 with the probability 
So the probability of at least two person out of the 'n' born people in same month is  = 1 - P (none of the n born in the same month)
= 1 - P (choosing the n different months out of 365 days) = 
1). Hence P(at least 2 born in the same month)=P(k=5 and at least 2 born in the same month)+P(k=10 and at least 2 born in the same month)+P(k=15 and at least 2 born in the same month) 
 = 
 = 
 = 0.903547
2).P( k = 10|at least 2 share their birthday in same month)
=P(k=10 and at least 2 born in the same month)/P(at least 2 share their birthday in same month)
= 
= 0.0.275617
 
        
             
        
        
        
Replace f(x) with 0 and swith the equation around to solve for x
 x^4 - 32x^2 - 144 = 0
Factor the left side:
(x+6) (x-6) (x^2+4)
so far we have x+6 = 0, x = -6
                         x -6 = 0, x = 6
solve x^2 +4 = 0
x^2 = -4
x = sqrt(-4) 
x = 2i, -21
The answer is B) 2i, 6, -6
        
                    
             
        
        
        
Answer: .C. The population is the 10,900 respondents to the American Time Use Survey.
Step-by-step explanation:
In statistics , Population is refer to a large group of individuals or observations that have same characteristics.
A sample is a  subset drawn from it.
We are given that "The 2015 American Time Use survey contains data on how many minutes of sleep per night each of 10,900 survey participants estimated they get.  An SRS (simple random sample) of 100 of the participants has a mean time of x¯=514.4 minutes. "
i.e. The population is 10,900 respondents to the American Time Use Survey.