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adell [148]
2 years ago
13

Solve the following system of equations by using the substitution method.

Mathematics
1 answer:
Hatshy [7]2 years ago
3 0
X = y + 3
2x + y = 9

Solution..
---------------

Substitute for x=y+3 in the second equation...

2x+y = 9

2(y+3)+y=9

2y+6+y=9
3y+6=9
3y=9-6
3y=3
y=3/3
y=1....

Substitute for y=1 in the first equation...

x=y+3

x = 1+3
x=4..

Am sure the answer is quite evident now...
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A random sample of 4"4 fields" of barley has a mean yield of "49.6"49.6 bushels per acre and standard deviation of 7.997.99 bush
ExtremeBDS [4]

Answer:

The critical value that should be used in constructing the interval is T = 5.8408.

The 99% confidence interval for the true mean yield is between 2.943 bushels per acre and 96.268 bushels per acre.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the students t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

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99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 5.8408. This is the critical value.

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The lower end of the interval is the sample mean subtracted by M. So it is 49.6 - 46.668 = 2.943 bushels per acre.

The upper end of the interval is the sample mean added to M. So it is 49.6 + 46.668 = 96.268 bushels per acre.

The 99% confidence interval for the true mean yield is between 2.943 bushels per acre and 96.268 bushels per acre.

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Step-by-step explanation

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Step-by-step explanation:

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4 0
3 years ago
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