The answer is has to be D
5).
and
6).
The volume of a sphere is
(4/3) (pi) (radius)³ .
In #5, the 'pi' is already there next to the answer window.
You just have to come up with the (4/3)(radius³).
Remember that the radius = 1/2 of the diameter.
7). The volume of a cylinder is
(pi) (radius²) (height) .
Divide the juice in the container by the volume of one can,
to get the number of cans he can fill.
8). The volume of a cone is
(1/3) (pi) (radius of the round bottom)² (height) .
He starts with a small cone, he then adds clay to it to make it higher.
The question is: How much clay does he ADD to the short one,
to make the bigger one ?
Use the formula to find the volume of the short one.
Use the formula again to find the volume of the bigger one.
Then SUBTRACT the smaller volume from the bigger volume.
THAT's how much clay he has to ADD.
Notice that the new built-up cone has the same radius
but more height than the first cone.
_______________________________________
Don't worry if you don't understand this.
The answer will be this number:
(1/3) (pi) (radius²) (height of the big one minus height of the small one).
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
<span> x^2-14*x+31-(63)=0 </span><span>x = 16
</span>
The Phase Shift is how far the function is shifted horizontally from the usual position.
The question is incomplete. The complete question is :
Tests for adverse reactions to a new drug yielded the results given in the table. Drug Placebo headaches No headaches 11 7 91 73 The data will be analyzed to determine if there is sufficient evidence to conclude that an association exists between the treatment (drug or placebo) and the reaction (whether or not headaches were experienced. The results of the test are X2 = 1.798 P-value = .1799. Identify the correct conclusion. O Do not reject the null hypothesis. Report that there insufficient evidence to conclude that treatment and reaction are dependent. O Fail to reject the null hypothesis. Report that there insufficient evidence to conclude that the distribution of headaches is uniform for the drug and placebo. O Reject the null hypothesis. Report that there is sufficient evidence to conclude that treatment and reaction are dependent. O Reject the null hypothesis. Report that there is insufficient evidence to conclude that treatment and reaction are dependent.
Solution :
Given :
Drugs Placebo
Headaches 11 7
No headaches 73 91
The results of the test are :

The P value is given as = 0.1799
The hypothesis test given for dependent or association between the two variables.
: There is no association between the treatment and the reaction
: There is association between the treatment and the reaction.
If the P value is greater than the alpha value, i.e. when
P value > α (0.05), then we reject the
.
Therefore, Do not
. Report that
evidence to conclude that
as well as
.