15=2y-5
move -5 to the other side
sign changes from -5 to +5
15+5= 2y-5+5
15+5= 2y
20= 2y
divide both sides by 2
20/2= 2y/2
y= 10
Answer : y= 10
Answer:
-23
Step-by-step explanation:
We note that as x increases by 36 from -72 to 36, y decreases by 24 from 25 to 1.
Increasing x from -36 by another 36 to zero will correspond to a decrease in y by another 24 from 1 to -23.
The y-intercept is -23.
_____
You could go to the trouble to use these observations to compute the slope as -24/36 = -2/3. Then you could pick one of the points and write the equation in point-slope form as ...
y = -2/3(x +36) +1 . . . point-slope form with m=-2/3, (h, k) = (-36, 1)
y = -2/3x -24 +1 . . . . . eliminate parentheses
y = -2/3x -23 . . . . . . . y-intercept is -23
To find the missing width/length for the perimeter of a rectangle:
You multiply the found length/width, in this case, the length, by 2. Since there are 2 of the same sides of a rectangle.
6*2 = 12
Now, you have to subtract the perimeter, 26, from the product.
36 - 12 = 24.
You have to divide the difference by 2 because 24 is the 2 missing sides put together.
24/2 = 12
So, the missing width is 12 feet.
From,
Loafly
Answer:
a) 
b) 
Step-by-step explanation:
Previous concepts
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 "life lengths of automobile tires of a certain brand" and we know that the distribution is given by:

The cumulative distribution function is given by:

Part a
We want to find this probability:
and for this case we can use the cumulative distribution function to find it like this:

Part b
For this case w want to find this probability

We have an important property on the exponential distribution called "Memoryless" property and says this:
On this case if we use this property we have this:
We can use the definition of the density function and find this probability:
