Answer:
x = 5 or x = 1
Step-by-step explanation:
Absolute Value Equation entered :
3|3x-9|=18
Step by step solution :
Step 1: Rearrange this Absolute Value Equation
Absolute value equalitiy entered
3|3x-9| = 18
Step 2: Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|3x-9|
For the Negative case we'll use -3(3x-9)
For the Positive case we'll use 3(3x-9)
Step 3: Solve the Negative Case
-3(3x-9) = 18
Multiply
-9x+27 = 18
Rearrange and Add up
-9x = -9
Divide both sides by 9
-x = -1
Multiply both sides by (-1)
x = 1
Which is the solution for the Negative Case
Step 4: Solve the Positive Case
(3x-9) = 18
Multiply
9x-27 = 18
Rearrange and Add up
9x = 45
Divide both sides by 9
x = 5
Which is the solution for the Positive Case
Step 5: Wrap up the solution
x=1
x=5
Solutions on the Number Line
Two solutions were found :
x=5
x=1
Answer:
A) Increase the significance level to increase the probability of a Type I error
Step-by-step explanation:
According to the information of the problem we can say that the researchers have the difficulty with a test that is evaluating a machine, which works well but the test does not get to verify this information correctly, we have that the null hypothesis is that the new machine does not improve precision, so the risk of the researchers is to accept the hypothesis when it is false, what is called type II error, to avoid this, the level of significance should be increased, which in turn would increase the probability of type I error. , so the correct answer is A.
Answer:
Option D.
Step-by-step explanation:
Exchange rate from Dollars to Riyal is,
1 Dollar = 3.7 Riyals
Bill wants to exchange $11.60 for which we will use the exchange rate.
∵ 1 Dollar = 3.7 Riyals
∴ 11.60 Dollars = 3.7 × 11.60
= 42.9 Riyals
Therefore, after exchange of 11.6 Dollars Bill will get 42.9 Riyals.
Option (D) is the correct option.
Answer:
160 units and $6400
Step-by-step explanation:
We have that the cost per x unit is: 20 * x + 0.25 * x ^ 2
the price per unit is 100, therefore revenue for each unit would be 100 * x
However:
profit = revenue - cost
p (x) = 100 * x - 20 * x - 0.25 * x ^ 2
for the maximum value profit we must derive and equal 0:
p '(x) = 100 - 20 - 0.5 * x
0 = 80 - 0.5 * x
0.5 * x = 80
x = 80 / 0.5
x = 160
Therefore, the maximum profit occurs when there are 160 units, replacing we have:
p (x) = 100 * 160 - 20 * 160 - 0.25 * 160 ^ 2
p (x) = 6400
that is to say that the $ 6400 is the maximum profit.
