If angle 1 and angle 5 are vertical angles and angle 1 equals 55°, then angle 5 will equal _____. 25° 55° 125° can't be determin
2 answers:
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Answer:
The P-value is 0.009.
Step-by-step explanation:
We are given that after debating whether this set of hockey players can be viewed as a random sample of hockey players, they decide to run a hypothesis test anyway to practice finding the P‐value.
<em><u>We are given that the following hypothesis below;</u></em>
Null Hypothesis, : p = 0.25
Alternate Hypothesis, : p > 0.25
Now, the test statistics that was used here for the above hypothesis would be;
T.S. = ~ N(0,1)
Also, the test statistics given to us is 2.37.
<u></u>
<u>SO, the P-value of the test statistics is given by the following formula;</u>
P-value = P(Z > 2.37) = 1 - P(Z 2.37)
= 1 - 0.99111 = 0.00889 ≈ 0.009
<em>The above probability is calculated by looking at the value of x = 2.37 in the z table which has an area of 0.99111.</em>
Therefore, the required P-value is 0.009.
Answer:
Step-by-step explanation:
Given
--- Point
Required
Component of V
From the question, we understand that V is in standard position.
This implies that V starts at the origin (0,0) and ends at (a,b)
So, vector V is:
This gives:
Answer:
Option D.
Step-by-step explanation:
The given system of equations is
...(1)
...(2)
On simplifying the second equation, we get
On dividing by -1, we get
...(3)
It is clear that equation (1) and (3) are same equations. It means equation (1) and (2) represent the equivalent equation.
So, the given system of equations has infinitely many solutions.
Therefore, the correct option is D.