3x + 3x + x + x = 98
98 / 8 = 12.25
36.75 + 36.75 + 12.25 + 12.25 = 98
Answer: 36.75
The effect of decreasing the alpha level from 0.05 to 0.01. it decreases the probability that the sample will fall into the critical region, it decreases the probability of a Type I error, and it decreases the size of the critical region.
Therefore, the answer is that all of other options are results of decreasing alpha.
The value of x is 8 when y = 12 if variables x and y have proportional relationship.
According to the given question.
Variables y and x have proportional relationship.
⇒ y ∝ x
Let k be the constant of proportionality.
⇒ y = kx
Also, it is given that
y = 21 when x = 14
Substitute the value of y = 21 and x = 14 in y = kx to find the value of k.
21 = k(14)
⇒ k = 21/14
⇒ k = 3/2
Therefore, the value of x when y = 12
y = kx
⇒ 12 = (3/2)x
⇒ 12 × 2 = 3x
⇒ 24 = 3x
⇒ x = 24/3
⇒ x = 8
Hence, the value of x is 8 when y = 12.
Find out more information about proportional relationship here:
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4) x + x + x = 180°
An equilateral triangle has three sides of equal length. Its interior angles are also equal. Since interior angles of a triangle should sum up to 180°, then each angle is 60°, making each angle congruent with one another.
So if x is equal to one angle and triangles have three angles then,
x + x + x = 180°
or 3x = 180°