Answer:
2 & 3
Step-by-step explanation:
Pythagorean Theorem is
.
If the values given in each option satisfy the theorem, the sides will make a right triangle.
<h3>For Option One:</h3>
![4^2+6^2=8^2\\=> 4^2=16\\=> 6^2=36\\=>8^2 =64\\16+36=64\\\boxed{52\neq 64}](https://tex.z-dn.net/?f=4%5E2%2B6%5E2%3D8%5E2%5C%5C%3D%3E%204%5E2%3D16%5C%5C%3D%3E%206%5E2%3D36%5C%5C%3D%3E8%5E2%20%3D64%5C%5C16%2B36%3D64%5C%5C%5Cboxed%7B52%5Cneq%2064%7D)
The sides would not make a right triangle.
<h3>For Option Two:</h3>
![6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}](https://tex.z-dn.net/?f=6%5E2%2B8%5E2%3D10%5E2%5C%5C%3D%3E%206%5E2%20%3D%2036%5C%5C%3D%3E%208%5E2%3D64%5C%5C%3D%3E%2010%5E2%3D100%5C%5C36%2B64%3D100%5C%5C%5Cboxed%7B100%3D100%7D)
The sides would make a right triangle.
<h3>For Option Three:</h3>
![5^2+6^2=\sqrt{61}^2\\ => 5^2=25\\=>6^2=36\\=>\sqrt{61}^2=61\\ 25+36=61\\\boxed {61=61}](https://tex.z-dn.net/?f=5%5E2%2B6%5E2%3D%5Csqrt%7B61%7D%5E2%5C%5C%20%3D%3E%205%5E2%3D25%5C%5C%3D%3E6%5E2%3D36%5C%5C%3D%3E%5Csqrt%7B61%7D%5E2%3D61%5C%5C%2025%2B36%3D61%5C%5C%5Cboxed%20%7B61%3D61%7D)
The sides would make a right triangle.
<h3>For Option Four:</h3>
![6^2+9^2=12^2\\=> 6^2=36\\=>9^2=81\\=>12^2=144\\36+81=144\\\boxed{117\neq 144}](https://tex.z-dn.net/?f=6%5E2%2B9%5E2%3D12%5E2%5C%5C%3D%3E%206%5E2%3D36%5C%5C%3D%3E9%5E2%3D81%5C%5C%3D%3E12%5E2%3D144%5C%5C36%2B81%3D144%5C%5C%5Cboxed%7B117%5Cneq%20144%7D)
The sides would not make a right triangle.
The correct answer should be options two and three.
Step-by-step explanation:
3x+3² , you might want a second opinion I am no good at math but I tried to work it out to see if I would get it right so don't quote me on this and put it down for an answer get a second opinion please
Hello,
Please, see the attached file.
Thanks.
Answer:
the x² test statistic 13.71
Option a) 13.71 is the correct answer.
Step-by-step explanation:
Given the data in the question;
Feeder 1 2 3 4
Observed visits;
60 90 92 58
data sample = 300
Expected
= 300 / 4 = 75
the x² test statistic = ?
= ∑[ (
-
)²/
]
= [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]
= [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]
= 13.7066 ≈ 13.71
Therefore, the x² test statistic 13.71
Option a) 13.71 is the correct answer.
The distance between two points knowing theirs coordinates:
AB =√[(x₂-x₁)² +(y₂-y₁)²]; ===>A(-2,4) & B(0,-6) Given
A(x₁,y₁) & B(y₂,y₁)
AB =√[(0-(-2))²+(-6-4)²] =√(104) = 10.198 ≈ 10.2