Answer:
Step-by-step explanation:
Absolute Value Inequality entered :
|y+2|>6
Step by step solution :
Step 1: Rearrange this Absolute Value Inequality
Absolute value inequalitiy entered
|y+2| > 6
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 |y+2|
For the Negative case we'll use -(y+2)
For the Positive case we'll use (y+2)
Step 3: Solve the Negative Case
-(y+2) > 6
Multiply
-y-2 > 6
Rearrange and Add up
-y > 8
Multiply both sides by (-1)
Remember to flip the inequality sign
y < -8
Which is the solution for the Negative Case
Step 4: Solve the Positive Case
(y+2) > 6
Rearrange and Add up
y > 4
Which is the solution for the Positive Case
Step 5:
Wrap up the solution
y < -8
y > 4
Solutions in Interval Notation
(-∞,-8)
(4,+∞)
Solutions on the Number Line
Two solutions were found :
y > 4
y < -8
Answer:
k=20
Step-by-step explanation:
The constant of proportionality, k, measures the constant value of the ratio between two proportional quantities, being y and x in this case. Essentially, y/x will always equal 20, the constant of proportionality.
Answer:
The Three way mixed ANOVA
Step-by-step explanation:
The Three factor repeated measures ANOVA analysis otherwise referred to as the Three way mixed ANOVA should be used for the analysis.
This is because we are comparing three independent variables in the context.
• People type (statistic lectures and students)
• Imagery type (positive, neutral and negative imagery)
• Repeated measure: Before and After images shown
• Measuring the dependent variable positive arousal as shown in the table attached to the answer.
After going through the table attached you will see that there should be performed a three factor repeated measures ANOVA analysis.
The area of a triangle can be found using the formula 1/2*b*h
We can substitute what we know in now, 22 = 1/2*8*h
22 = 4*h
22 = 4*5.5
The answer would be 5.5 yards
I hope this helps!
The answer is 0.3413 because Explanation:
<span>z=<span><span>x−u</span>σ</span></span>, where <span>u=6 0andσ=10</span>.
Therefore the probability student finish the test between 50 to 60 minutes is,
<span>P<span>(50≤x≤60)</span>=P<span>(<span><span>50−60</span>10</span>≤z≤<span><span>60−60</span>10</span>)</span></span>
<span>P<span>(−1≤z≤0)</span>=P<span>(z≤0)</span>−P<span>(z≤−1)</span></span>
<span>=0.5000−0.1587=<span>0.3413</span></span>
