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Mariulka [41]
3 years ago
12

What is the answer to by+2 over 3=c? NEED HELP QUICK!!

Mathematics
1 answer:
Yuliya22 [10]3 years ago
5 0

Answer:

y =  \frac{3c - 2}{b}   \: where\: b \ne0

Step-by-step explanation:

Assuming, we want to solve

\frac{by + 2}{3}  = c

for y.

Then , we first multiply through by 3 to get:

by + 2 = 3c

Subtract 2 from both sides to get:

by = 3c - 2

We divide both sides by b, to get:

y =  \frac{3c - 2}{b}   \: where\: b \ne0

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I believe it should be the second answer

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What is the base of a triangle with a height of 7.4 cm and an area of 48.1 cm2?
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5 0
3 years ago
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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
What is the equation of the line x–3y=18 in slope-intercept form? Drag and drop the appropriate number, symbol, or variable to e
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Simple...

you have: x-3y=18

You want to convert it into slope-intercept form or y=mx+b form-->>>

x-3y=18

Isolate the variable-->>

x-3y=18
-x      -x

-3y=-x+18

Now simply divide...

\frac{-3y}{-3} = \frac{-x+18}{-3}

y=\frac{1}{3}x -6

Thus, your answer.
3 0
4 years ago
Read 2 more answers
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