Step-by-step explanation:
Complex roots or imaginary roots must come in conjugate pairs. If -4i is a root, that means 4i is also a root.
A possible polynomial is:
y = (x + 4i) (x − 4i)
y = x² − 16i²
y = x² + 16
Answer:
There are infinitely many solutions. Start with five data, in size order: a < b < c < d < e. Then c=11, the median. To get the mode of 12, we must have d=e=12. Thus far, we have (a+b+11+24)/5 = 10 the mean. But now we have run out of requirements, and we still have two unknowns. They satisfy a+b+35 = 50. Thus, pick any two values a not equal to b that add to 15 and are both less than 11.
The full set of solutions are points (a,b) run along a line joining the points (4,11) and (11,4) on graph paper, except (7.5, 7.5) and the endpoints. That would make competing modes. Try a=5.6 and b = 9.4 for instance!
Answer: 680
Step-by-step explanation:
When order doesn't matter,then the number of combinations of choosing r things out of n = 
Given: Total participants = 17
From these, a group of 3 participants is to be tested under a special condition.
Number of groups of 3 participants chosen = 

Hence, there are 680 groups of 3 participants can be chosen,.
3. =1260
Step-by-step explanation:
3.= 9×(32+108)
= 9×140
= 1260 .
Answer:
False
Step-by-step explanation:
This is because there both above sea level and 50-17=33 not -33