Answer:
121 degrees.
Step-by-step explanation:
If the angle is x degrees then its supplement is 180-x degrees.
So we have the equation:
x = 2(180-x) + 3
x = 360 - 2x + 3
3x = 363
x = 121.
Answer:
7
Step-by-step explanation:
∑ᵢ₌₁³ (4 × (½)ⁱ⁻¹)
This is the sum of the first 3 terms of the sequence.
The first 3 terms are:
4 × (½)¹⁻¹ = 4
4 × (½)²⁻¹ = 2
4 × (½)³⁻¹ = 1
So the sum is:
∑ᵢ₌₁³ (4 × (½)ⁱ⁻¹) = 4 + 2 + 1 = 7
Answer:
Step-by-step explanation:
Given that 
and h(x) = 4 - x
Now, if y = f(x) and y = g(x) then the composite function (f∘g)(x) is given by f[g(x)].
Hence, (g∘h)(x) = ![g[h(x)] = \frac{(4 - x) + 1}{(4 - x) - 2} = \frac{5 - x}{2 - x}](https://tex.z-dn.net/?f=g%5Bh%28x%29%5D%20%3D%20%5Cfrac%7B%284%20-%20x%29%20%2B%201%7D%7B%284%20-%20x%29%20-%202%7D%20%3D%20%5Cfrac%7B5%20-%20x%7D%7B2%20-%20x%7D)
.......... (1)
Now, from equation (1) we get,
(g∘h)(x) = 
⇒ (g∘h)(- 3) = 
(Answer)
Answer:
A. increase the sample size
Step-by-step explanation:
By increasing sample size, the amount of data included in the statistical calculation is more. As the size increases, the uncertainty decreases, hence the confidence level on our estimate is higher. By having more sample, we have more accurate analysis, and our margin of error can be reduced as well.
The midpoint of two points is the point which divides the line segment joining the two points into two equal parts.
Suppose, we have a line segment AB with a point C, between point A and point B such that the distance AC is equal to the distance CB, then we say that point C is the midpoint of line AB.
Suppose, we have another point D between point A and point C, such that the distance AD is equal to the distance DC, then we say that point D is the midpoint of AC.
Notice that point D is a fourth of line segment AB.
Thus, AD is <span>one fourth the length of segment AB.
Therefore, one fourth the length of a segment can be obtained by evaluating the midpoint of the midpoint of the line segment.
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