Answer:
There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes (P-value=0.009).
Step-by-step explanation:
We have to perform an hypothesis test on the mean.
The null and alternative hypothesis are:

The significance level is
.
The test statistic t can be calculated as:

The degrees of freedom are:

The P-value (two-tailed test) for t=2.737 and df=49 is P=0.00862.
This P-value (0.009) is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.
There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes.
Answer:
1 = 175ft cubed
2 = 58m cubed
3 = 140m cubed
4 = 180in cubed
Step-by-step explanation:
You have to split these complex shapes into parts and find the volume of each part. Then, add the parts' volumes together, which will be the total volume of these. The equation is V=bhw. V means volume, b means base, h means height, and w means width. Hope this helps!
Answer:
Acute triangle
x = 3
GH = 19
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.
It is adding one little percentage of increase here. or, 1.1 each time....hope that this helps.