What must be true to define the measure of a distance of an arc between the points A and B on a circle? A unit of measure must b
2 answers:
You might be interested in
Answer:
Option B is correct.
Use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.
Step-by-step Explanation:
The clear, complete table For this question is presented in the attached image to this solution.
It should be noted that For this question, the running coach wants to test if participating in weekly running clubs significantly improves the time to run a mile.
In the data setup, the mean time to run a mile in January for those that participate in weekly running clubs and those that do not was provided.
The mean time to run a mile in June too is provided for those that participate in weekly running clubs and those that do not.
Then the difference in the mean time to run a mile in January and June for the two classes (those that participate in weekly running clubs and those that do not) is also provided.
Since, the aim of the running coach is to test if participating in weekly running clubs significantly improves the time to run a mile, so, it is logical that it is the improvements in running times for the two groups that should be compared.
Hence, we should use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.
Hope this Helps!!!
Answer:
Step 4 - Reason 4: INVALID
Step-by-step explanation:
This problem is a typical case of solving an algebraic expression of one uknown variable, which here is denoted with .
Let us first rewrite all information denoted in the question as follow:
Given:
Step 1: Reason 1: <em>Given</em>
Step 2: Reason 2: <em>Addition Property of Equality</em>
Step 3: Reason 3: <em>Simplify</em>
Step 4: Reason 4: <em>Division Property of Equality</em>
Step 5: Reason 5: <em>Simplify</em>
Having obtained all solution steps we can conclude the following:
Step 1 - Reason 1: Valid because this is our given equation to be solved
Step 2 - Reason 2: Valid because this is a typical first step in such equations to eliminate our constants from the side (here the Left Hand Side) and have only our Uknown variables (in this case ).
Step 3 - Reason 3: Valid because we just compute the addition/subtractions on each side to simplify the expression
Step 4 - Reason 4: INVALID because at this point we already have one Unknown variable on the left and one constant on the right. So all we have to do is simplify the expression as it is. So here instead we should actually have:
⇔
⇔
⇔
⇔
OR we could also solve it as:
⇔
⇔
⇔
Which essentially is Step 5 - Reason 5: Valid because of the computations just above.