Answer: 12.5 or 12 1/2
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Answer:
2.70×m=x
Step-by-step explanation:
2.70 times the mile
Let p(x) be a polynomial, and suppose that a is any real
number. Prove that
lim x→a p(x) = p(a) .
Solution. Notice that
2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .
So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial
long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x –
2.
Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number
such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| <
1, so −2 < x < 0. In particular |x| < 2. So
|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|
= 2|x|^3 + 5|x|^2 + |x| + 2
< 2(2)^3 + 5(2)^2 + (2) + 2
= 40
Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2
+ x − 2| < ε/40 · 40 = ε.
Answer:
0.95 = 95% probability that a randomly selected student at this university recycles at least some of the time
Step-by-step explanation:
For a randomly selected student, we have these following probabilities:
0.55 probability that they always recicle.
0.25 probability that they usually recicle.
0.15 probability that they recicle only when it's convenient.
0.05 probability that they never recicle.
What is the probability that a randomly selected student at this university recycles at least some of the time?
Always, usually or only when it's convenient.
0.55 + 0.25 + 0.15 = 0.95
0.95 = 95% probability that a randomly selected student at this university recycles at least some of the time
