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Gemiola [76]
4 years ago
11

Please help Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.

Mathematics
2 answers:
dsp734 years ago
7 0
The linear equation:
y = k x + b
We will use first two values and solve the system of equations:
11 = k * 7 + b   / *(-1)
13 = k * 8 + b
 ---------------------
 -11 = - k * 7 - b
  13 =   k * 8 + b
----------------------
   2 = k       
   13 = 16 + b 
    b = 13 - 16 = -3
   y = 2 x - 3 ( y varies directly with x )
11Alexandr11 [23.1K]4 years ago
3 0
X                y
7    +4   = 11
+                 +
1                 2
=                 =
8                13
+                  +
1                  2
=                  =
9                 15
+                   +
1                   2
=                   =
10               17

hope this will help you answering the question of your exercise right 
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The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces. We are interested in testing to d
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Answer:

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Step-by-step explanation:

We are given that the contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces.

We have to test whether the variance of the population is significantly more than 0.003, i.e.;

  Null Hypothesis, H_0 : \sigma = \sqrt{0.003}

Alternate Hypothesis, H_1 : \sigma > \sqrt{0.003}

The test statistics used here for testing variance is;

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           n = sample size = 26 cans

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