The answer should be 14.
You just have to substitute x with the given number and finish the equation.
Answer:
0
Step-by-step explanation:
![g(x) = 3x + 1 \\\ y = 3x + 1](https://tex.z-dn.net/?f=g%28x%29%20%3D%203x%20%2B%201%20%5C%5C%5C%20y%20%3D%203x%20%2B%201)
Changing x to y and y to x:
![x = 3y + 1 \\\ 3y = x - 1 \\\ y = \frac{x - 1}{3} \\\ g^{-1}(x) = \frac{x - 1}{3} \\\ g^{- 1} (1) = \frac{1 - 1}{3} \\\ g^{- 1} (1) = 0](https://tex.z-dn.net/?f=x%20%3D%203y%20%2B%201%20%5C%5C%5C%203y%20%3D%20x%20-%201%20%5C%5C%5C%20y%20%3D%20%5Cfrac%7Bx%20-%201%7D%7B3%7D%20%5C%5C%5C%20g%5E%7B-1%7D%28x%29%20%3D%20%5Cfrac%7Bx%20-%201%7D%7B3%7D%20%5C%5C%5C%20g%5E%7B-%201%7D%20%281%29%20%3D%20%5Cfrac%7B1%20-%201%7D%7B3%7D%20%5C%5C%5C%20g%5E%7B-%201%7D%20%281%29%20%3D%200)
I hope I helped you.
Answer:
![y\tan{x°}](https://tex.z-dn.net/?f=y%5Ctan%7Bx%C2%B0%7D)
Step-by-step explanation:
well, by using definition of tan of an angle
let the distance between Earth and shooting star is
.
since
,
then ![d=y\tan{x°}](https://tex.z-dn.net/?f=d%3Dy%5Ctan%7Bx%C2%B0%7D)
Answer:
Step-by-step explanation:
-7z/2 - 2 + z -3
=-5 - 5z/2
Answer:
The probability of 1 error in a period of 0ne - half minute is 0.1494
Step-by-step explanation:
Formula for poisson distribution:
![P (X = k) = \frac{\exp^{- \lambda} \lambda^{x} }{x!}](https://tex.z-dn.net/?f=P%20%28X%20%3D%20k%29%20%3D%20%5Cfrac%7B%5Cexp%5E%7B-%20%5Clambda%7D%20%5Clambda%5E%7Bx%7D%20%20%7D%7Bx%21%7D)
If there is an average of 1 error in 10 seconds
In one-half minutes (i.e. 30 seconds), there will be an average of 30/10 errors = 3 errors
![\lambda = 3 errors\\x = 1](https://tex.z-dn.net/?f=%5Clambda%20%3D%203%20errors%5C%5Cx%20%3D%201)
![P (X = 1) = \frac{\exp^{-3} 3^{1} }{1!}](https://tex.z-dn.net/?f=P%20%28X%20%3D%201%29%20%3D%20%5Cfrac%7B%5Cexp%5E%7B-3%7D%203%5E%7B1%7D%20%20%7D%7B1%21%7D)
1! = 1
![P (X = 1) = 3 \exp^{-3}](https://tex.z-dn.net/?f=P%20%28X%20%3D%201%29%20%3D%203%20%5Cexp%5E%7B-3%7D)
P(X = 1) = 3 * 0.0498
P(X = 1) = 0.01494