Answer:
B
Step-by-step explanation:
That was actually trickier than I thought it would be
I was looking for 4(x-4), but 4(x-2)(x+2) also works
The answer you are looking for is x=-2.
Solution/Explanation:
Writing out the equation
3[-x+(2x+1)]=x-1
Simplifying inside of the brackets first
Combining like terms, since -x+2x=x
3(x+1)=x-1
*You can remove the parenthesis, if preferred.
Using the Distributive Property on the left side of the equation
3x+3=x-1
Now, subtracting the "x" variable from both sides
3x+3-x=x-x-1
"x-x" cancels out to 0.
3x+3-x=-1
Combining like terms and simplifying
3x-x+3=-1
2x+3=-1
Subtracting 3 from both sides of the equation
2x+3-3=-1-3
"3-3" cancels out to zero.
2x+0=-1-3
2x=-1-3
Simplifying the right side of the equation
2x=-4
Finally, dividing both sides by 2
2x/2=-4/2
Simplifying the final part of the problem
Since 2x/2=x and -4/2=-2
x=-2
So, therefore, the final answer is x=-2.
Hope that this has helped you. Good day to you.
Answer:
141,548
Step-by-step explanation:
the product means you need to multiply
Answer:
The standard deviation of the voltage is 
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
The problem states that
Assume that the voltage is normally distributed with a mean of 0, so 
A signal in a communication channel is detected when the voltage is higher than 1.5 volts in absolute value. What is the standard deviation of voltage such that the probability of a false signal is 0.05?
We know that 
. This means that when 
the zscore has a pvalue of 0.95. Looking at the zscore table, we have that 
. So
The standard deviation of the voltage is
