Answer:
![x4](https://tex.z-dn.net/?f=x%3C-4%5Cquad%20%5Cmathrm%7Bor%7D%5Cquad%20%5C%3Ax%3E4)
![\{x\in \mathbb{R}| \:\left(-\infty \:,\:-4\right)\cup \left(4,\:\infty \:\right) \}](https://tex.z-dn.net/?f=%5C%7Bx%5Cin%20%5Cmathbb%7BR%7D%7C%20%20%5C%3A%5Cleft%28-%5Cinfty%20%5C%3A%2C%5C%3A-4%5Cright%29%5Ccup%20%5Cleft%284%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%20%20%20%20%5C%7D)
Step-by-step explanation:
![x^2>16](https://tex.z-dn.net/?f=x%5E2%3E16)
![x\sqrt{16}](https://tex.z-dn.net/?f=x%3C-%5Csqrt%7B16%7D%5Cquad%20%5Cmathrm%7Bor%7D%5Cquad%20%5C%3Ax%3E%5Csqrt%7B16%7D)
![x4](https://tex.z-dn.net/?f=x%3C-4%5Cquad%20%5Cmathrm%7Bor%7D%5Cquad%20%5C%3Ax%3E4)
The interval notation will be:
![\{x\in \mathbb{R}| \:\left(-\infty \:,\:-4\right)\cup \left(4,\:\infty \:\right) \}](https://tex.z-dn.net/?f=%5C%7Bx%5Cin%20%5Cmathbb%7BR%7D%7C%20%20%5C%3A%5Cleft%28-%5Cinfty%20%5C%3A%2C%5C%3A-4%5Cright%29%5Ccup%20%5Cleft%284%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%20%20%20%20%5C%7D)
The contrary,
![x^2](https://tex.z-dn.net/?f=x%5E2%3C16)
is ![-4](https://tex.z-dn.net/?f=-4%3Cx%3C4)
From the Arithmetic Information given, Pr = 0.049375 ≠ -8.050625 ≠ 0.0325 See explanation below.
<h3>
What are the step by steps solution to the questions above?</h3>
First, lets us restate the question properly. We have
Pr = 1 - ((6*12+6)/80)² = 1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400) = 1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6²
Note that there are three equals signs. So lets divide the problem according and solve for the different parts.
Lets 1 - ((6*12+6)/80)² ............A
1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400) .............B; and
1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6² ........C
Solving for A we have
1 - (78/80)²
= 1 - (0.975)²
= 1 - 0.950625
A = 0.049375
Solving for B we have
1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400)
= 1- (14,256/1600) - (216/1600) - (36/6400)
= 1 - 8.91 - 0.135 - 0.005625
B = -8.050625
Solving for C we have
1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6²
= 1 - 0.005625 * 144 - 0.001875 * 12 * 6 - 0.00015625 * 144
= 0.0325
In summary we can state that:
A = 0.049375
B = -8.050625
C = 0.0325
Given that there were no abstract quantities, we can state that
Pr = A ≠ B ≠C or
Pr = 0.049375 ≠ -8.050625 ≠ 0.0325
Learn more about equations with equal signs at
brainly.com/question/18924248
#SPJ1
Answer: about 22 minutes
Explanation: its hard to explain but trust me i checked my work
Answer:
40/8
Step-by-step explanation:
40 divided by 8 is 5.
The way you can check this is by multiplying 8*5
Basically what number times 8 will equal 40
Answer:
a 8
Step-by-step explanation:
You are given two sides and the included angle. Since you don't have any side and the opposite angle, you must use the law of cosines.
![a^2 = b^2 + c^2 - 2bc\cos A](https://tex.z-dn.net/?f=%20a%5E2%20%3D%20b%5E2%20%2B%20c%5E2%20-%202bc%5Ccos%20A%20)
![a^2 = 5^2 + 11^2 - 2(5)(11)\cos 39^\circ](https://tex.z-dn.net/?f=%20a%5E2%20%3D%205%5E2%20%2B%2011%5E2%20-%202%285%29%2811%29%5Ccos%2039%5E%5Ccirc%20)
![a^2 = 25 + 121 - 110\cos 39^\circ](https://tex.z-dn.net/?f=%20a%5E2%20%3D%2025%20%2B%20121%20-%20110%5Ccos%2039%5E%5Ccirc%20)
![a^2 = 60.51](https://tex.z-dn.net/?f=%20a%5E2%20%3D%2060.51%20)
![a = 7.779](https://tex.z-dn.net/?f=%20a%20%3D%207.779%20)
Answer: a = 8 cm