Answer:
104degrees
Step-by-step explanation:
From the given diagram, line LJ bisects KN, hence arcKL = arcHJ
Given
arHJ = 4x
arc KJ = x+39
Equating both
4x = x+39
4x - x = 39
3x = 39
x = 39/3
x = 13
Since arcHK = arcHJ + arcKJ
arcHK = x+39+4x
arcHK = 5x+39
arcHK = 5(13) + 39
arcHK = 65+39
arcHK = 104degrees
Hence the measure of arcHK is 104degrees
Represent Age of Time Traveler =========> X
Solve:
x = 3(x - 20 )
Step 1: Simplify Both sides of equation:
x = 3(x - 20 )
x = (3) (x) + (3) ( - 20 ) (Distribute ):
x = 3x + - 60
x = 3x - 60
Step 2: Subtract 3x from both sides:
x - 3x = 3x - 60 - 3x
- 2x = - 60
Step 3: Divide both sides by -2:
- 2x / - 2 = - 60 / - 2
x = 30
Answer: Our Time Traveler is 30 years old.
Hope that helps : )
Answer:
............
Step-by-step explanation:
The critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
<h3>How to determine the critical values corresponding to a 0.01 significance level?</h3>
The scatter plot of the election is added as an attachment
From the scatter plot, we have the following highlights
- Number of paired observations, n = 8
- Significance level = 0.01
Start by calculating the degrees of freedom (df) using
df =n - 2
Substitute the known values in the above equation
df = 8 - 2
Evaluate the difference
df = 6
Using the critical value table;
At a degree of freedom of 6 and significance level of 0.01, the critical value is
z = 0.834
From the list of given options, 0.834 is between -0.881 and 0.881
Hence, the critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
Read more about null hypothesis at
brainly.com/question/14016208
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