Answer:
4/25 = 0.16
Step-by-step explanation:
The shortest stick must be between 0 and 5/3. The probability that it is longer than 1 is therefore:
(5/3 − 1) / (5/3 − 0)
(2/3) / (5/3)
2/5
So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.
Answer:
4
+2
Step-by-step explanation:
![\frac{6-\sqrt{8}}{\sqrt{2}-1}](https://tex.z-dn.net/?f=%5Cfrac%7B6-%5Csqrt%7B8%7D%7D%7B%5Csqrt%7B2%7D-1%7D)
=
×![\frac{\sqrt{2}+1}{\sqrt{2}+1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%2B1%7D%7B%5Csqrt%7B2%7D%2B1%7D)
=![\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}](https://tex.z-dn.net/?f=%5Cfrac%7B%286-%5Csqrt%7B8%7D%29%28%5Csqrt%7B2%7D%2B1%29%7D%7B2-1%7D)
=6
+ 6 -
- ![\sqrt{8}](https://tex.z-dn.net/?f=%5Csqrt%7B8%7D)
=6
+ 6 - 4 - ![\sqrt{8}](https://tex.z-dn.net/?f=%5Csqrt%7B8%7D)
=6
+ 2 - ![\sqrt{8}](https://tex.z-dn.net/?f=%5Csqrt%7B8%7D)
=6
+ 2 - 2
=4
+2
for
= 2
,
= ![\sqrt{2*2*2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%2A2%2A2%7D)
= (
)^2 ×
=2 ×
You can substitute what y is into the second equation, so:
3x + 4(2x + 1) = 26
3x + 8x + 4 = 26
11x + 4 = 26
- 4
11x = 22
÷ 11
x = 2
y = (2 × 2) + 1
y = 5 + 1
y = 5
So you get x as 2 and y as 5, I hope this helps!
Answer:
16
Step-by-step explanation:
10+6=16