A statistical population is a set of entities from which statistical inferences are to be drawn, often based on a random sample taken from the population. For example, if we are interested in making generalizations about all crows, then the statistical population is the set of all crows that exist now, ever existed, or will exist in the future. Since in this case and many others it is impossible to observe the entire statistical population, due to time constraints, constraints of geographical accessibility, and constraints on the researcher’s resources, a researcher would instead observe a statistical sample from the population in order to attempt to learn something about the population as a whole.
This is a polynomial with more than 2 as a degree. Using Descartes Rule of Signs:
f(x) = x⁶ + x⁵ + x⁴ + 4x³ − 12x² + 12
Signs: + + + + − + 2 sign changes ----> 2 or 0 positive roots
f(−x) = (−x)⁶ + (−x)⁵ + (−x)⁴ + 4(−x)³ − 12(−x)² + 12 f(−x) = x⁶ − x⁵ + x⁴ − 4x³ − 12x² + 12
Signs: + − + − − + 4 sign changes ----> 4 or 2 or 0 negative roots
Complex roots = 0, 2, 4, or 6
Answer:
6 combinations with a sample space of {DMC,DCM,CMD,CDM,MCD,MDC}
Step-by-step explanation:
Here, we are looking for the possible combinations of books since the order doesn't matter:
Method 1: You can take the factorial of 3 since order doesn't matter, which will mean 3!=3*2*1=6 combinations
Method 2: List all the possible combinations for your sample space
DMC
DCM
CMD
CDM
MCD
MDC
Either method you choose, you'll end up with the same result of 6 combinations with a sample space of {DMC,DCM,CMD,CDM,MCD,MDC}
Answer:
C. 2x^4; E. -5x
Step-by-step explanation:
P(x) = x^3 − x − 2 and Q(x) = x^2 + 2x + 1
P(x) * Q(x) = (x^3 − x − 2)(x^2 + 2x + 1) =
= x^5 + 2x^4 + x^3 - x^3 - 2x^2 - x - 2x^2 - 4x - 2
= x^5 + 2x^4 - 4x^2 - 5x - 2
Answer: C. 2x^4; E. -5x