how to write a system of linear equation that represents the situation you sell 14 more tickets than your friend sells together
1 answer:
We will call the number of tickets you sell and the number your friend sells
. Given this, we can create the first equation, which is:
- This shows that the number of tickets you sold is equal to the number your friend sold + 14, which symbolizes that you sold 14 more tickets than your friend
We can also create the second equation:
- This shows that the number of tickets you sold along with the number of tickets your friend sold is equal to 58 tickets in total
Thus, our system would be:
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Answer:
and
The null hypothesis is not rejected
Step-by-step explanation:
Given
Random sample of 50 commuter times
Solving (a): The null and alternate hypothesis
From the question, a previous census shows that:
and
This is the null hypothesis i.e.
Reading further, a new test was to show whether the average has decreased.
This is the alternate hypothesis, and it is represented as:
Solving (b) and (c): The test statistic (T).
This is calculated using:
In this case:
and
So:
Solving (c): Accept or reject null hypothesis
First calculate the degrees of freedom (df)
From the t distribution table,
At: ,
and
the t score is:
<em>So, the null hypothesis is not rejected</em>