three adults and four children must pay $122 for tickets. Two adults and three children must pay $87. what are the price of each
1 answer:
Let be the price of an adult ticket, and
the price of a child ticket.
The sentence "Three adults and four children must pay $122 for tickets" translates to
The sentence "Two adults and three children must pay $87" translates to
Which leads to the linear system
You can solve this system as you prefer, for example you can multiply the first equation by 2 and the second by 3 to get
Now subtract the first from the second:
Now plug this value for c in any of the equations, for example the first:
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Answer:
1) Fail to reject the Null hypothesis
2) We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.
Step-by-step explanation:
A university administrator wants to test if there is a difference between the distance men and women travel to class from their current residence. So, the hypothesis would be:
The results of his tests are:
t-value = -1.05
p-value = 0.305
Degrees of freedom = df = 21
Based on this data we need to draw a conclusion about test. The significance level is not given, but the normally used levels of significance are 0.001, 0.005, 0.01 and 0.05
The rule of the thumb is:
- If p-value is equal to or less than the significance level, then we reject the null hypothesis
- If p-value is greater than the significance level, we fail to reject the null hypothesis.
No matter which significance level is used from the above mentioned significance levels, p-value will always be larger than it. Therefore, we fail to reject the null hypothesis.
Conclusion:
We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.