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victus00 [196]
2 years ago
10

Find the radius of this sphere. Then, calculate the volume of a sphere.

Mathematics
1 answer:
Gelneren [198K]2 years ago
8 0

if its diameter is 12, then its radius is half that or 6.

\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies V=\cfrac{4\pi (6)^3}{3}\implies V=\cfrac{4}{3}\cdot \pi \cdot 6^3 \\\\\\ V=\cfrac{864}{3}\cdot \pi \implies V=\cfrac{864}{3}\cdot 3.14\implies V\approx 904.32~cm^3

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A small university is concerned with monitoring its electricity usage in its Student Center. Specifically, its officials want to
valkas [14]

Answer:

Since p-value > ∝, H0 is accepted

Step-by-step explanation:

Calculating gives the following results.

<u>ANOVA Table</u>

<u>Source DF               Sum             Mean      F Statistic P-value</u>

                               <u>  of Square           Square</u>

Groups     6         191.61                      31.935        0.020          0.999

(b/w groups)

Error

(within 14          21736.08                1552.577

<u> groups)                                                                                                     </u>

<u>Total  20          21927.69 1096.385                                          </u>

1. H0 hypothesis

Since p-value > ∝, H0 is accepted.

Hence the averages of all groups considered to be equal.

Or the difference between the averages of all groups is not big enough to reject H0.

2. P-value

P-value equals 0.999. This means that if we would reject H0, the chance of type1 error (rejecting a correct H0) would be too high i.e  (99.99%)

The bigger  p-value  supports H0.

3. The statistics

The test statistic F equals 0.020, which lies in the accepted range: [-∞ : 2.8477]

6 0
3 years ago
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eimsori [14]
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 Solving for 11 + 5 + 3 x 2 + 8 x 1
 Using the Order of Operations – BODMAS
Multiplication is prioritized above addition
Therefore, 11 + 5 + 3 x 2 + 8 x 1
= 11 + 5 + (3 x 2) + (8 x 1)
= 11 + 5 + 6 + 8
= 30 <span>
</span>
4 0
3 years ago
Calculate the fraction of this recurring decimal. ​
Agata [3.3K]
<h3>Answer:  76/4995</h3>

========================================================

Explanation:

x = 0.0152152...

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10000x = 152.152...

Subtract the last two equations to find that

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We're left with the equation 9990x = 152 which solves to x = 152/9990

Divide both parts of that fraction by 2 so that the fraction fully reduces to 76/4995 which is the final answer

You can use your calculator to see that 76/4995 = 0.0152152152152... which confirms the answer.

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