Heyo! ;D
So, I think I may of heard about this topic in the past...are you working with degrees of circles? Plane angles? If so, you can use this formula to find your answer:
12° × ÷ 180 = <u>0.2094(rad)</u>
I'm not entirely sure, however I hope this somewhat helped! If so, please lmk! Tysm and good luck!
Answer:
.
Step-by-step explanation:
I graphed the region in the image below. The blue line is y=3, the purple line is x=1 and the green curve is y = . The shaded region in blue is the region we are going to rotate.
Now, to find the volume v= where a=1, b=3 (left and right points of the region), p(x) is the distance from the rotation axis to the diferential Δx, we say p(x)=x and h(x) is the height of the region, in this case is h(x)=
. Then,
v =
=
=
=
=
= .
Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg
Step-by-step explanation:
Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.
Let be the population mean .
We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.
i.e. Null hypothesis :
Alternative hypothesis for two tail hypothesis has sign (≠).
i.e. Alternative hypothesis :
∴ The hypotheses for a two-tailed test of the claimed potassium content:
H0: μ = 140 mg vs. H1: μ ≠ 140 mg