Short Answer x = - 6
Remark
You gave the second best answer.
The trick here is not to divide both sides by 2. Solve the problem this way.
log_5(x + 1)^2 = 2 Take the antilog of both sides
(x + 1)^2 = 5^2 Expand the equation
x^2 + 2x + 1 = 25 Subtract 25 from both sides.
x^2 + 2x - 24 = 0 Factor
(x + 6)(x - 4) = 0 Find the zeros.
x + 6 = 0
x = - 6 <<<<<<<< Answer. This is the extraneous root.
The reason this is an extraneous root is that x<=0 do not have a logarithem
x - 4 = 0
x = 4 This is a legitimate result to the original equation.
Answer:
The probability that the service desk will have at least 100 customers with returns or exchanges on a randomly selected day is P=0.78.
Step-by-step explanation:
With the weekly average we can estimate the daily average for customers, assuming 7 days a week:
We can model this situation with a Poisson distribution, with parameter λ=108. But because the number of events is large, we use the normal aproximation:
Then we can calculate the z value for x=100:
Now we calculate the probability of x>100 as:
The probability that the service desk will have at least 100 customers with returns or exchanges on a randomly selected day is P=0.78.
Answer:
Step-by-step explanation:
The area of solutions of the first inequality lies above an orange straight line.
The area of solutions of the second inequality lies below a blue straight line.
These areas are crossed in the yellow field.
The green field does not meet a condition of the second inequality and therefore does not enter the area of the solution of a system of inequalities
A sample statistic , such as x bar, that estimates the value of the corresponding population parameter is known as a control chart.
Answer:
c)No, P is the distance from A to B, and Q is the distance from B to A.
Step-by-step explanation:
Point P partitions the directed segment from A to B into a 1:3 ratio.
Ratio is 1:3
So AP is 1 and PB is 3
Q partitions the directed segment from B to A into a 1:3 ratio.
Ratio is 1:3
So BQ is 1 and QA is 3.
That is AQ= 3 and BQ= 1
The ratio of Q and P varies
AP =1 and AQ=3
So P and Q are not at the same point.
Because P is the distance from A to B and Q is the distance from B to A
