Solve for c7c + 3 - 7c = 3c - 9

Mathematics

2 answers:

vfiekz [6]2 years ago

5 0

Answer:

4=c

Step-by-step explanation:

7c + 3 - 7c = 3c - 9

Combine like terms

7c-7c+3 = 3c-9

3 = 3c-9

Add 9 to each side

3+9 = 3c-9+9

12 = 3c

Divide each side by 3

12/3 = 3c/3

4 =c

Ghella [55]2 years ago

4 0

Answe

c=−4/3

Step-by-step explanation:

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Consider a normal population distribution with the value of σ known. (a) what is the confidence level for the interval x ± 2.81σ

sammy [17]

The confidence level would be 99.5%.

When we know the confidence level, we find the z-score by:
Dividing the CL by 100;
Subtracting this result from 1;
Dividing this result by 1;
Subtracting this result by 1.

Algebraically, this looks like:
$1-(\frac{1-(\frac{CL}{100})}{2})$

Using a z-table (http://www.z-table.com), we see that a z-score of 2.81 results in an area under the curve of 0.9975, so we now have
$1-(\frac{1-(\frac{CL}{100})}{2})=0.9975$

To begin solving this, we will subtract 1 from both sides:
$-(\frac{1-(\frac{CL}{100})}{2})=-0.0025
\\
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We will now multiply both sides by 2:
$1-\frac{CL}{100}=0.005$

Subtract 1 from both sides:
$-\frac{CL}{100}=-0.995
\\
\\\frac{CL}{100}=0.995$

Multiply both sides by 100:
CL = 99.5

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elixir [45]

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Step-by-step explanation:

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Lera25 [3.4K]

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