Answer:
0.001665973
Step-by-step explanation:
Answer:
A. Assuming that the mean weights of wolves in the populations are equal, the probability of obtaining a test statistic that is greater than 2.771 or less than −2.771 is 0.01.
Step-by-step explanation:
Answer:
True, see proof below.
Step-by-step explanation:
Remember two theorems about continuity:
- If f is differentiable at the point p, then f is continuous at p. This also applies to intervals instead of points.
- (Bolzano) If f is continuous in an interval [a,b] and there exists x,y∈[a,b] such that f(x)<0<f(y), then there exists some c∈[a,b] such that f(c)=0.
If f is differentiable in [0,4], then f is continuous in [0,4] (by 1). Now, f(0)=-1<0 and f(4)=3>0. Thus, we have the inequality f(0)<0<f(4). By Bolzano's theorem, there exists some c∈[0,4] such that f(c)=0.
Answer:
Perimeter: 2.5+2.5+2.5+2.5=10.00
Area: 2.5x4=10
Step-by-step explanation:
Each sandwich is toasted for 2 minutes and it takes 3 seconds to flip it.
The first two sandwiches will be toasted in 2 minutes (toasting) and 6 seconds (flipping).
The two will then be switched which will take 10 seconds.
The next two will again take 2 minutes and 6 seconds.
The final sandwich will take 5 seconds to be placed.
The final sandwich will also take 2 minutes to toast and 3 seconds to flip.
Total time:
2 + 2 +2 = 6 minutes
6 + 10 + 6 + 3 = 25 seconds
Total time is 6 minutes and 25 seconds.
