The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.
<h3>Test Statistic</h3>
The test statistic can be calculated using the formula below
Solving for the mean and standard deviation, we can substitute the values into the above equation which will be
<h3>P-Value</h3>
Using the data from the test statistic, we can calculate the p-value of the data
From the calculation above, the test statistic and p-value of the given data are
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Answer:
∠ p ≈ 59°
Step-by-step explanation:
Using Pythagoras' identity in right triangle ABD to find DB
DB² = 5² + 6² = 25 + 36 = 61 ( take square root of both sides )
DB = 
---------------------------------------
Using the cosine ratio in right triangle DBC
cos p = 
= 
= 
, thus
p = 
( ) ≈ 59°
Answer:
The y-coordinate of point A is 
.
Step-by-step explanation:
The equation of the circle is represented by the following expression:
(1)
Where:
- Independent variable.
- Dependent variable.
, 
- Coordinates of the center of the circle.
- Radius of the circle.
If we know that 
, 
and 
, then the equation of the circle is:
(1b)
Then, we clear within (1b):
(2)
If we know that 
, then the y-coordinate of point A is:
The y-coordinate of point A is .
Answer:
A line traveling to the left with an open dot on x=1.
Explanation:
The inequality x < 1 basically means "less than 1." On number lines, the further left you go, the smaller the number becomes, and the further right you go, the larger the number becomes. So we know that because it's less or smaller than 1, then the line will be to the left. On the other hand, the inequality does not have a line under it to indicate a "less than or equal to 1," just "less than." Therefore, the dot is open. If there were a line under the inequality, then it would indicate "less than or equal to 1" and the dot would be closed.
