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3 years ago

What is the x-intercept of the graph of y =x2-4x+4

1 answer:

4 0

  y = x² - 4x + 4
  0 = x² - 4x + 4
  0 = x² - 2x - 2x + 4
  0 = x(x) - x(2) - 2(x) - 2(-2)
  0 = x(x - 2) - 2(x - 2)
  0 = (x - 2)(x - 2)
  0 = (x - 2)²
  0 = x - 2
+ 2 + 2
  2 = x
(x, y) = (2, 0)

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3 years ago

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2 years ago

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Answer:

The conclusion is that the researcher was correct

Step-by-step explanation:

From the question we are told that

The sample size is $n = 13$

The sample mean is $\= x = 9.63$

The standard deviation is $s = 0.585$

The significance level is $\alpha = 0.05$

The Null Hypothesis is $H_o : \mu = 0$

The Alternative Hypothesis is $H_a = \mu < 10$

The test statistic is mathematically represented as

$t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }$

Substituting values

$t = \frac{9.63 - 10 }{\frac{0.585}{\sqrt{13} } }$

$t = - 2.280$

Now the critical value for $\alpha$ is

$t_{\alpha } = 1.645$

This obtained from the critical value table

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The conclusion is that the researcher was correct

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3 years ago

Kathy's internet company charges a connection fee of 0.21 cents for each call and 0.06 cents per minute for each call she made f

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3 years ago