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Nata [24]
3 years ago
5

Y is the midpoint of Line xz . if xz = 8x-2 and ya =2x+1 find x

Mathematics
1 answer:
faust18 [17]3 years ago
3 0
Given that XZ = 8x - 2 and YZ = 2x + 1 and that Y is the midpoint of line XZ.

2YZ = XZ
2(2x + 1) = 8x - 2
4x + 2 = 8x - 2
8x - 4x = 2 + 2
4x = 4
x = 1.
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Find all the square roots of x2 ≡ 53 (mod 77)
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Answer:

x=\pm\sqrt{77n+53}

Step-by-step explanation:

We have been given an equivalence equation x^2\equiv 53\text{ (mod } 77). We are asked to find all the square root of the given equivalence equation.

Upon converting our given equivalence equation into an equation, we will get:

x^2-53=77n

Add 53 on both sides:

x^2-53+53=77n+53

x^2=77n+53

Take square root of both sides:

x=\pm\sqrt{77n+53}

Therefore, the square root for our given equation would be x=\pm\sqrt{77n+53}.

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4 years ago
What is the value of x?
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Answer:

x = 10

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If the level of significance of a hypothesis test is raised from 0.005 to 0.2, the probability of a type ii error will:_________
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The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.

<h3 /><h3>What is a type II error?</h3>

A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.

It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.

<h3>How the type II error is related to the significance level?</h3>

The relation between type II error and the significance level(α):

  • The higher values of significance level make it easier to reject the null hypothesis. So, the probability of type II error decreases.
  • The lower values of significance level make it fail to reject a false null hypothesis. So, the probability of type II error increases.
  • Thus, if the significance level increases, the type II error decreases and vice-versa.

From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.

Learn more about type II error of a hypothesis test here:

brainly.com/question/15221256

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