Answer:
(A) - (5)
(B) - (4)
(C) - (1)
(D) - (2)
Step-by-step explanation:
(A) We are given the polynomial (x+4)(x−4)[x−(2−i)][x−(2+i)]
(5) The related polynomial equation has a total of four roots; two roots are complex and two roots are real.
(B) We are given the polynomial (x+i)(x−i)(x−2)³(x−4).
(4) The related polynomial equation has a total of six roots; two roots are complex and one of the remaining real roots has a multiplicity of 3.
(C) We are given the polynomial (x+3)(x−5)(x+2)²
(1) The related polynomial equation has a total of four roots; all four roots are real and one root has a multiplicity of 2.
(D) We are given the polynomial (x+2)²(x+1)²
(2)  The related polynomial equation has a total four roots; all four roots are real and two roots have a multiplicity of 2. (Answer)
 
        
             
        
        
        
Answer:
4.27%
Step-by-step explanation:
We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.
We will use z-score formula to solve our given problem.

z = z-score,
x = Random sample score,
 = Mean,
 = Mean,
 = Standard deviation.
 = Standard deviation.
Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.




Now, we need to find  .
.
Using formula  , we will get:
, we will get:

Using normal distribution table, we will get:



Therefore, 4.27% of college students sleep for more than 9.6 hours.
 
        
             
        
        
        
Answer:
12617.13
Step-by-step explanation:
250(1+0.103)^40= 12617.13
hope it help