Answer:
60 degrees
Step-by-step explanation:
a+b+c= 180 degrees therefore 5x + x + 3x = 9x
9x=180 (divide) --> x=20
since c = 3x substitute in 20 for x --> 3(20) = 60 degrees for angle c
Answer:
The suitable results are:
Option A: The alternative hypothesis could really be true but because the sample size is small, the power is very low so the researchers are likely to run an experiment whose results lead them to make a type II error.
Option D: Inasmuch there is no statistical evidence to accept the null hypothesis. The null hypothesis could be true and there is no difference between the new and standard treatments survival rate.
Explanation:
Below are the options suitable for results:
Option A: The alternative hypothesis could really be true but because the sample size is small, the power is very low so the researchers are likely to run an experiment whose results lead them to make a type II error - Reason been that, as the sample size increase, so also does the power of the test increase. Therefore, because the power is too small, the researchers are likely to commit type 2 error.
Option D: Inasmuch there is no statistical evidence to accept the null hypothesis. The null hypothesis could be true and there is no difference between the new and standard treatments survival rate.
Cot A=1/tan A=12/5
cos A= 12/13
sin A=5/13
Draw a right angled triangle
the hypotenuse is the longest side which is 13 using Pythagoras theorem
the side opposite the angle A is 5
the side closest to the angle A which is called the adjacent is 12
sinA =opp/hyp
cos A= adj/hyp
cotA =1/tanA=cos A/sinA
Note: Pythagoras theorem is
hyp²=opp²+adj²
The answer is: [C]: " y = 3x + 1 " .
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Note: By looking at the graph, we see that it passed through the point, " (0, 1) " (at the y-intercept).
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Consider choice: [A]: "y = 3x" ; When "x = 0" ; what does "y" equal ?
→ y = 3x = 3(0) = 0 ; → "(0, 0)" is a solution; NOT "(0, 1)" ; so rule out "[A]" .
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Consider choice: [B]: "y = 3x − 1" ; When "x = 0" ; what does "y" equal ?
→ y = 3(0)−1 =0−1 = -1; → "(0, -1)" is a solution; NOT "(0, 1)" ; so rule out "[B]" .
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Consider choice: [C]: "y = 3x + 1" ; When "x = 0" ; what does "y" equal ?
→ y = 3(0)+1 = 0+1 = 1; → "(0, -1)" is a solution; so "choice [C]" is possible.
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Consider choice: [D]: "y = 3x² + 1"; When "x = 0" ; what does "y" equal ?
→ y = 3(0²)+1 = 0+1 = 1; → "(0, 1)" is a solution; so "choice [D]" is possible.
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However; choice: [D]: is a parabola, not a line; so we determine that the correct answer is: Choice [C]: "y = 3x + 1" .
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