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saveliy_v [14]
3 years ago
11

What is one soultion to this graphy>-x+2y<2x+y

Mathematics
1 answer:
Lynna [10]3 years ago
7 0

9514 1404 393

Answer:

  (x, y) = (3, 0)

Step-by-step explanation:

The solution space is above the line y = -x+2 in the right half-plane where x > 0. One possible solution is (x, y) = (3, 0).

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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
Find the volume of these solid<br><br>20mm<br>3.7mm<br>41mm​
Reil [10]

The volume of the solid is which is a cone is 100.48 km^{3}.

Given a cone of radius 4 km and height being 6 km.

We are told to find the volume of the cone.

Volume is basically the amount of a substance that a container can hold in its capacity.Its value cannot be equal to zero or negative. It is basically amount of filling in a container.

Volume of cone is 1/3 \pi r^{2} h.

Volume =1/3 \pi 4^{2} *6

=1/3 π*16*6

=32π

=32*3.14

=100.48km^{3}

Hence if the radius of the cone is 4 km and height be 6 km then the volume of the cone is 100.48km^{3}.

Learn more about volume at brainly.com/question/463363

#SPJ1

8 0
2 years ago
Please help,, I will give you 30 points!!!
jek_recluse [69]

Answer:

is the 5.2% per hour or for the whole 25 hours?

Need to know in order to solve the question


Step-by-step explanation:


8 0
3 years ago
What is 1.83 repeating as a fraction?
maks197457 [2]
The answer to this question would be: 1 5/6

To change a decimal number into fraction, you need to divide the number on the right of decimal point with 1. In this case, the number is 0.83.
This number is hard since .83 doesn't have many factors. To find the answer you can try to multiply the decimal with some number until it close to 1(no decimal left)
0.83* 2= 1.66
0.83* 3= 2.49 ---> close to half, if you find this number, you can try to double it
0.83* 4= 3.32
0.83* 5= 4.15
0.83* 6= 4.98---> close to 1, that means there is high probability that the number can be divided by 6 
0.83 would be 4.98/6, but if we assume that the number is 0.8333...... then 0.83 would be 5/6. So, 1.83 would be 1 5/6
4 0
3 years ago
Read 2 more answers
Can you help prove this identity?
mario62 [17]
Its six idk really ask your teacher for more help


3 0
3 years ago
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