Answer:
x = -10 or x = -3
Step-by-step explanation:
Here, the given equation is

The given equation can be solved by the method of SPLITTING THE MIDDLE TERM
Split 13 in such a way that sum of the terms = 13
and product of the terms = 30
So, the given equation becomes 
Here, 10x+ 3x = 13x and 10 x 3 = 30
Now, simplifying the equation,

⇒ either (x+ 10) = 0 ,or (x+ 3) = 0
⇒ x = -10 or x = -3
Answer:
c = 8
Step-by-step explanation:
Use synthetic division here; it's the fastest approach.
Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:
-2 4 c 1 2
-8 (-2c+ 16) (4c-34)
---------------------------------------------
4 (c - 8) (-2c + 17) 4c - 32
The remainder, 4c - 32, must equal zero if (x + 2) is a factor.
Then 4c - 32 = 0, and c = 8
Answer:
x=6
Step-by-step explanation:
2(3x+4)=5x+3x-4
combine all like terms and distribute
6x+8=8x-4
-8 -8
6x= 8x-12
-8x -8x
-2x= -12
x= 6
Answer:
0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

The mean time for the component failure is 2500 hours.
This means that 
What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?
The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
Answer:
0.23
Step-by-step explanation:
Using either long division or a calculator, divide 23 by 100; you will get the result 0.23.