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Sidana [21]
2 years ago
12

PLEASE HELP ASAP!!!

Mathematics
1 answer:
bazaltina [42]2 years ago
6 0

Answer:

V = 54π or V = 169.56 units³

Step-by-step explanation:

The volume of a cylinder is given by the formula:

V = πr²h

If we use 3.14 as pi we get this:

V = (3.14)×(3)²×(6)

V = 3.14×9×6

V = 3.14×54

V = 169.56

Since it is volume the units will be units³

So our final answer is 169.56 units³

If you wanted an exact in pi form you would do the same steps but not simplify pi:

V = πr²h

V = π×(3)²×6

V = π×9×6

V = 54π

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Add these fractions 5/7 + 2/7 is it to 3 or
svp [43]

Answer:

1

Step-by-step explanation:

5/7+2/7 add the numerator to equal 7/7 simplify to 1/1 equals 1

3 0
2 years ago
Read 2 more answers
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

M = z\frac{\sigma}{\sqrt{n}}

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
What is the height of the tree in the image below? 10 points Wall 4 6 ft 24 O I foot O 36 foot None of the above
Zinaida [17]

16 ft

Explanation

Step 1

because the ligth comes in the same angle, we have 2 similar triangles .

so,as the triangles are similar,the ratio of the shorter leg to the bigger leg must be equal.

\begin{gathered} ratio=\frac{shorter\text{ leg}}{\text{bigger leg}} \\ ratio1=ratio2 \\ \frac{h}{24}=\frac{4}{6} \end{gathered}

Step 2

solve for h

\begin{gathered} \frac{h}{24}=\frac{4}{6} \\ \text{cross multiply} \\ 6\cdot h=4\cdot24 \\ 6h=96 \\ \text{divide boths} \\ \frac{6h}{6}=\frac{96}{6} \\ h=16 \end{gathered}

therefore, the heigth of the tree is 16 ft

5 0
10 months ago
-5w=7-4w+8<br>need help and need my work shown ​
Anestetic [448]

Answer:

w = -15

Step-by-step explanation:

-5w = 7 - 4w + 8

Grouping like terms together,

-5w+4w = 7+8

-w = 15

w = -15

6 0
3 years ago
Describe a model that represents 3/3 x 4/4??
Oduvanchick [21]
They are both fractions, but 3/3 is 1 whole and 4/4 is 1 whole also.
so 1 whole times 1 whole equals 1
number form of my explanation:
3/3=1
4/4=1
1x1=1
Describe complete!
4 0
3 years ago
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