Acute Angle- Smaller than 90 degrees
Obtuse Angle- Bigger than 90 degrees
Right Angle- 90 degrees
![3m^2n+12mn^2](https://tex.z-dn.net/?f=3m%5E2n%2B12mn%5E2)
In both the sets, 3 and m as well as n can be found as common factors.
So,
3mn( m+4n)
Therefore the answer is 3mn (#3)
For a known standard deviation, the confidence interval for sample size = n is
![(x-z \frac{ \sigma }{ \sqrt{n}},x+x \frac{ \sigma }{ \sqrt{n} } )](https://tex.z-dn.net/?f=%28x-z%20%5Cfrac%7B%20%5Csigma%20%7D%7B%20%5Csqrt%7Bn%7D%7D%2Cx%2Bx%20%5Cfrac%7B%20%5Csigma%20%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20%20%29)
where
x = average
n = sample size
![\sigma](https://tex.z-dn.net/?f=%20%5Csigma%20)
= stad. deviation
z = contant that reflects confidence interval
Let a = x
Let b =
![z \frac{ \sigma }{ \sqrt{n} }](https://tex.z-dn.net/?f=z%20%5Cfrac%7B%20%5Csigma%20%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20)
From the given information,
a - b = 0.432 (1)
a + b = 0.52 (2)
Add (1) and (2): 2a = 0.952 => a = 0.476
Subtract (2) from (1): -2b = -0.088 => b = 0.044
Therefore, the confidence interval may be written as
(0.476 - 0.044, 0.476 + 0.044), or as
(0.476
![\pm](https://tex.z-dn.net/?f=%20%5Cpm%20)
0.044)
Answer:
slope= -1 1/6
Step-by-step explanation:
x1 y1 x2 y2
-2 5 4 -2
(Y2-Y1) (-2)-(5)= -7 ΔY -7
(X2-X1) (4)-(-2)= 6 ΔX 6
slope= -1 1/6
B= 2 2/3
Answer:
f(x) = 2(x + 3)²
Step-by-step explanation:
Parent Graph: f(x) = a(bx - h)² + k
<em>a</em> is vertical shrink/stretch
<em>b</em> is horizontal shrink/stretch
<em>h</em> is horizontal movement left/right
<em>k</em> is vertical movement up/down
<em>h, k</em> is vertex
Step 1: Define variables
h = -3
k = 0
a = 2
Step 2: Write quadratic
f(x) = 2(x + 3)²