Answer:
Step-by-step explanation:
Answer E is the only one that is close
We have that
x²<span>-20x
</span><span>Group
terms that contain the same variable
</span>(x²-20x)
Complete
the square
(x²-20x+10²)------> (x-10)²
the answer is
the number must be 100
Answer:
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Step-by-step explanation:
The margin of error of a confidence interval is given by:

In which
is the standard deviation of the population and n is the size of the sample.
z is related to the confidence level. The higher the confidence level, the higher the values of z, and thus, we wider the confidence interval is.
In this question:
The narrower C.I. is the 95%, and the wider is the 99%. So
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Answer:
e) Hence 2, -7 are roots of the equation X² + 5X - 14 = 0
Step-by-step explanation:
given equation : X² + 5X - 14 = 0
⇒ X² + 7X - 2X - 14 = 0
⇒ X·(X + 7) - 2·(X + 7) = 0
⇒ (X + 7)·(X - 2) = 0
⇒ X = -7, X = 2
<u>Hence 2, -7 are roots of the equation X² + 5X - 14 = 0</u>