Answer: - 235
<u>Step-by-step explanation:</u>
f(x) = -3x² + 13x + 3
f(-7) = -3(-7)² + 13(-7) + 3
= -3(49) - 91 + 3
= -147 - 88
= -235
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:

Answer:
2
Step-by-step explanation:
Answer:
9.5
Step-by-step explanation:
Add all the sides together
Answer
associative property of addition.