Answer; yes
Step-by-step explanation:
similar, but not the same
Answer:

Step-by-step explanation:
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

And 0 for other case. Let X the random variable that represent "The number of years a radio functions" and we know that the distribution is given by:

We can assume that the random variable t represent the number of years that the radio is already here. So the interest is find this probability:

We have an important property on the exponential distribution called "Memoryless" property and says this:

Where a represent a shift and t the time of interest.
On this case then 
We can use the definition of the density function and find this probability:


![=[lim_{x\to\infty} (-e^{-\frac{1}{8}x})+e^{-1}]=0+e^{-1}=e^{-1}](https://tex.z-dn.net/?f=%3D%5Blim_%7Bx%5Cto%5Cinfty%7D%20%28-e%5E%7B-%5Cfrac%7B1%7D%7B8%7Dx%7D%29%2Be%5E%7B-1%7D%5D%3D0%2Be%5E%7B-1%7D%3De%5E%7B-1%7D)
Answer:
Step 1: Transpose everything to one side
12. x²+16x+15-10x+4=0
Step 2: Add the like terms
x² + (16x - 10x) + 15 + 4=0
x² + 6x + 19=0
Step 3: Use the quadratic formula to get the value(s) of x.
a=1 b=6 c=19

therefore, x=... or x
Answer:
A) 4
Step-by-step explanation:
There are a couple of ways to get this but this is how I did it:
1. Multiply the second equation by 1/4 to get the same fraction for y as the one in the first equation
1/4 x + 1/8 y = 2
1/4 (1/3 x + 1/2 y = 4)
1/12 x + 1/8 y = 1
2. Subtract the first equation from the new equation
1/12 x + 1/8 y = 1
<u> - 1/4 x - 1/8 y = -2</u>
-1/6 x= -1
3. Divide both sides by -1/6
<u>-1/6</u> x= <u>-1</u>
-1/6 -1/6
x = 6
4. Substitute 4 in for x in the original equation:
1/4 (6) + 1/8y = 2
6/4 + 1/8y = 2
1/8y = 1/2
y = 4