Answer:
around 46
Step-by-step explanation:
328/7=46.8571428571
Answer:
a) 0.900
b) 0.400
Step-by-step explanation:
Let I = households getting internet
T = households getting television
Then I = 60%
and T = 80%
(Households that get both services)
a) Households getting at least one service, ![I\cup T = I + T - I\cap T= 60+80-50 =90\%=0.900](https://tex.z-dn.net/?f=I%5Ccup%20T%20%3D%20I%20%2B%20T%20-%20I%5Ccap%20T%3D%2060%2B80-50%20%3D90%5C%25%3D0.900)
b) Those getting internet only = ![I - I\cap T = 60 - 50 = 10\% = 0.1](https://tex.z-dn.net/?f=I%20-%20I%5Ccap%20T%20%3D%2060%20-%2050%20%3D%2010%5C%25%20%3D%200.1%20)
Those getting television only = ![T - I\cap T = 80- 50=30\%=0.3](https://tex.z-dn.net/?f=T%20-%20I%5Ccap%20T%20%3D%2080-%2050%3D30%5C%25%3D0.3)
Probability of getting exactly one service = 0.1 + 0.3 = 0.400
Answer:
![x_{1} =4+2\sqrt{2}\\x_{2}=4-2\sqrt{2}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D4%2B2%5Csqrt%7B2%7D%5C%5Cx_%7B2%7D%3D4-2%5Csqrt%7B2%7D)
Step-by-step explanation:
- 8x+ 8 = 0
we divide the coefficient of the X by half :
in this case: 8x/2 = 4 , then we do the following
to the result obtained (4) squared: 4^2=16
we sum and subtract by 16 to maintain the balance of equation:
- 8x+ 16-16+8 = 0
we have:
-16 +8=0
=16-8
= 8
we write the square root on both sides of the equation:
![\sqrt{(x-4)^{2}} = \sqrt{8}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x-4%29%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B8%7D)
we know:
![\sqrt{a^{2}} = abs(a)](https://tex.z-dn.net/?f=%5Csqrt%7Ba%5E%7B2%7D%7D%20%3D%20abs%28a%29)
so we have:
abs(x-4)=![\sqrt{2^{2}2 }](https://tex.z-dn.net/?f=%5Csqrt%7B2%5E%7B2%7D2%20%7D)
abs(x-4)=2![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
we have:
![x_{1} -4 = 2\sqrt{2} \\\\x_{2} -4 =- 2\sqrt{2}](https://tex.z-dn.net/?f=x_%7B1%7D%20-4%20%3D%202%5Csqrt%7B2%7D%20%5C%5C%5C%5Cx_%7B2%7D%20-4%20%3D-%202%5Csqrt%7B2%7D)
finally we have:
![x_{1} = 4+2\sqrt{2} \\\\x_{2} =4 - 2\sqrt{2}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%204%2B2%5Csqrt%7B2%7D%20%5C%5C%5C%5Cx_%7B2%7D%20%3D4%20-%202%5Csqrt%7B2%7D)
Answer:
B
Step-by-step explanation:
Sine is opposite/hypotenuse. Sine C would be 5/13 so option B is correct.
Circumference = 2 X PI X r
orange circle r = 5cm
circumference = 2 x 3.14 x 5 = 31.4 cm
blue circle r = 5+5 = 10
circumference = 2 x 3.14 x 10 = 62.8 cm