Answer:
We have
k^2 - 25f^2 + 5kf - 25f^2 =
k^2 - (5f)^2 + 5f( k - 5f) =
( k - 5f )( k + 5f ) + 5f( k - 5f ) =
( k - 5f )( k + 5f + 5f ) =
( k - 5f )( k + 10f );
Step-by-step explanation:
Step-by-step explanation:
if |A|≥B then
A≥B or A≤-B
4x-10≥14 or 4x≤-14
solve 4x-10≥14
add 20 on both sides
4x≥10+14
4x≥24
divide by 4 on both ends
x≥24/4
x≥6
now solve
4x-10≤-14
add 10 on both sides
4x≤-14+10
4x≤-4
divide both sides by 4
x≤-1
(-∞,-1] U [6,∞)
Answer:

And using the cdf we got:

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 the random variable of interest and we know that the distribution is given by:

We know the variance on this case given by :

So then the deviation is given by:

And if we solve for
we got:

The cumulative distribution function for the exponential distribution is given by:

Solution to the problem
And for this case we want to find this probability:

And using the cdf we got:

Answer:
X=1
Step-by-step explanation:
6x+2=9x-1
-6x on both sides
2=3x-1
+1 on both sides
3=3x
/3 on both sides
1=x
Flip
X=1