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 |-5t+10|
For the Negative case we'll use -(-5t+10)
For the Positive case we'll use (-5t+10)
STEP3
:
Solve the Negative Case
-(-5t+10) = 40
Multiply
5t-10 = 40
Rearrange and Add up
5t = 50
Divide both sides by 5
t = 10
STEP4
:
Solve the Positive Case
(-5t+10) = 40
Rearrange and Add up
-5t = 30
Divide both sides by 5
-t = 6
Multiply both sides by (-1)
t = -6
Which is the solution for the Positive Case
STEP5
:
Wrap up the solution
t=10
t=-6
Step-by-step explanation:
T-tests are handy hypothesis tests in statistics when you want to compare means. You can compare a sample mean to a hypothesized or target value using a one-sample t-test. You can compare the means of two groups with a two-sample t-test. If you have two groups with paired observations (e.g., before and after measurements), use the paired t-test.
Output that shows a t-value
The t-value measures the size of the difference relative to the variation in your sample data. Put another way, T is simply the calculated difference represented in units of standard error. The greater the magnitude of T, the greater the evidence against the null hypothesis
Answers & Comments
Answer:
5T - 10 = 40 (?)
Note to Remember:
Correct me if I'm wrong
Answer:
Step by Step Solution
More IconAbsolute Value Equation entered :
|10-5t|=40
Step by step solution :
STEP1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|-5t+10| = 40
STEP2
:
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 |-5t+10|
For the Negative case we'll use -(-5t+10)
For the Positive case we'll use (-5t+10)
STEP3
:
Solve the Negative Case
-(-5t+10) = 40
Multiply
5t-10 = 40
Rearrange and Add up
5t = 50
Divide both sides by 5
t = 10
STEP4
:
Solve the Positive Case
(-5t+10) = 40
Rearrange and Add up
-5t = 30
Divide both sides by 5
-t = 6
Multiply both sides by (-1)
t = -6
Which is the solution for the Positive Case
STEP5
:
Wrap up the solution
t=10
t=-6
Step-by-step explanation:
T-tests are handy hypothesis tests in statistics when you want to compare means. You can compare a sample mean to a hypothesized or target value using a one-sample t-test. You can compare the means of two groups with a two-sample t-test. If you have two groups with paired observations (e.g., before and after measurements), use the paired t-test.
Output that shows a t-value
The t-value measures the size of the difference relative to the variation in your sample data. Put another way, T is simply the calculated difference represented in units of standard error. The greater the magnitude of T, the greater the evidence against the null hypothesis
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