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Schach [20]
2 years ago
11

Solve using substitution y= 7x + 6 4x - 3y =16

Mathematics
1 answer:
maks197457 [2]2 years ago
4 0

Answer:

{y,x} = {-8,-2}

Step-by-step explanation:

Hope this helps.

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A sample of 81 tobacco smokers who recently completed a new smoking-cessation program were asked to rate the effectiveness of th
Kruka [31]

Answer:

95% confidence interval for the true mean score is [4.6 , 6.6].

Step-by-step explanation:

We are given that a sample of 81 tobacco smokers who recently completed a new smoking-cessation program were asked to rate the effectiveness of the program on a scale of 1 to 10.

The average rating was 5.6 and the standard deviation was 4.6.

Firstly, the pivotal quantity for 95% confidence interval for the true mean is given by;

                      P.Q. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average rating = 5.6

            s = sample standard deviation = 4.6

            n = sample of tobacco smokers = 81

            \mu = population mean score

<em>Here for constructing 95% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.</em>

<u>So, 95% confidence interval for the population mean score, </u>\mu<u> is ;</u>

P(-1.993 < t_8_0 < 1.993) = 0.95  {As the critical value of t at 80 degree of

                                            freedom are -1.993 & 1.993 with P = 2.5%}  

P(-1.993 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 1.993) = 0.95

P( -1.993 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 1.993 \times {\frac{s}{\sqrt{n} } } ) = 0.95

P( \bar X-1.993 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+1.993 \times {\frac{s}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-1.993 \times {\frac{s}{\sqrt{n} } } , \bar X+1.993 \times {\frac{s}{\sqrt{n} } } ]

                                            = [ 5.6-1.993 \times {\frac{4.6}{\sqrt{81} } } , 5.6+1.993 \times {\frac{4.6}{\sqrt{81} } } ]

                                            = [4.6 , 6.6]

Therefore, 95% confidence interval for the true mean score is [4.6 , 6.6].

4 0
3 years ago
Does the graph represent a function?
stiv31 [10]

Answer:

no is the answer

3 0
3 years ago
Read 2 more answers
Use the model to represent 80% as a fraction in simplest form.<br> ОООО
pychu [463]

Answer:

4/5

Step-by-step explanation:

80% = 0.8 = 8/10 = 4/5

Change the percent to a decimal and change it to a fraction, then simplify.

The model should have 5 equal pieces and 4 shaded.

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please mark this as brainliest!!! </em></u></h3><h3><u><em>Thank You!!! </em></u></h3><h3><u><em>:)</em></u></h3>
8 0
3 years ago
Mr. Gomez paid a total of $267 for the repairs on his car. The cost of the labor was two thirds of the total charge. Find the ch
Mars2501 [29]
Here is one way I learned from teacher take 267 and ÷ by 3 and there are three part and if you do it right you might have a left over so and take one of those three ÷ and see how much you have left and × it by 2
5 0
3 years ago
50 points!!!<br><br> Factor completely<br><br> 3n^4+21n^3+27n^2 <br><br> Please show work!!
Elden [556K]

Answer:

3n^2(n^2+7n+9)

Step-by-step explanation:

Find the common factor. In this case, it is 3n^2. Take out the common factor of the integers.

So, therefore it is

3n^2(n^2+7n+9)

5 0
3 years ago
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