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Ghella [55]
3 years ago
11

Simplify (3^3)(1/9^2 − 6 + 2)

Mathematics
1 answer:
AnnZ [28]3 years ago
3 0

Answer:

27/77

Step-by-step explanation:

I hope this is correct

Have a good Day!

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Construct a​ 95% confidence interval for the population​ mean, mu. Assume the population has a normal distribution. A random sam
aniked [119]

Given Information:  

Number of lithium batteries = n = 16

Mean life of lithium batteries = μ = 645 hours

Standard deviation of lithium batteries = σ = 31 hours

Confidence level = 95%  

Required Information:  

Confidence Interval = ?

Answer:  

CI = 628.5 \: to \: 661.5 \: hours

Step-by-step explanation:  

The confidence interval is given by

CI = \mu \pm t_{\alpha/2} (\frac{\sigma}{\sqrt{n}})

Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of

tα/2 = (1 - 0.95) = 0.05/2 = 0.025

and the degree of freedom is

DoF = n - 1 = 16 - 1 = 15

The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)

CI = 645 \pm 2.131(\frac{31}{\sqrt{16}})

CI = 645 \pm 2.131(7.75})

CI = 645 \pm 16.515

CI = 645 - 16.515 \: and \: 645 + 16.515

CI = 628.5 \: to \: 661.5 \: hours

Therefore, the 95% confidence interval is 628.5 to 661.5 hours

What does it mean?

It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)

6 0
3 years ago
If two cylinders have the same radius, but one has a height two times larger
sweet [91]

The volume of the large cylinder will be twice the volume of the small cylinder.

<u>Step-by-step explanation:</u>

Let the radius of the cylinder be 'r'

Let the height of the cylinder be'h'

Volume of the small cylinder=π r² h

Volume of the large cylinder= π r² (2h)

Volume of large cylinder/volume of small cylinder= 2/1

The large cylinder volume is twice the volume of the small cylinder.

5 0
3 years ago
Brainliest for a math answer
erastovalidia [21]
Question 5- is 9
question 6- is 9
question 7-is 4
question 8-is 21
Question 9-is 2 
question 10-not sure sorry :(



Tell me if your right ;) 


5 0
3 years ago
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Given that (6 3) is on the graph of f(x) find the corresponding point for the function f(-1/2x)
Vlada [557]
\bf \begin{array}{rllll}&#10;(6&,&3)&f(x)\\&#10;x&&y\\\\&#10;(-\frac{1}{2}x&,&3)&f(-\frac{1}{2}x)\\\\&#10;(-\frac{1}{2}\cdot 6&,&3)\\\\&#10;(-3&,&3)&#10;\end{array}

keep in mind that, a negative coefficient to "x", will make the graph reflect over the y-axis.
6 0
3 years ago
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Tia had a garden that was 2 meters long. Her brother used 458 millimeters of the length at one end as a worm farm
Nastasia [14]

Answer:

154 centimeters

Step-by-step explanation:

Each meter is 1000 millimeters or 100 centimeters, and if Tia's brother used 458 millimeters of 2000 millimeters, you can subtract 458 from 200 and you get 1542. Since the answer options are in centimeters, simply divide by 10 and you get the answer in centimeter form (154)

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3 years ago
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