The speed-time graph shows the first 30 minutes of another train journey. The distance travelled is 100km. The maximum speed of
the train is V km/h
Find V
Find V
1 answer:
The question is missing the graph. So, the graph is attached below.
Answer:
The maximum speed of the train is
Step-by-step explanation:
Given:
Distance travelled is 100 km.
Time interval is 30 minutes.
We know that, area under the curve of a speed-time graph gives the total distance travelled by the train.
The area under the curve is the area of the given trapezium shape shown in the graph below.
The height of the trapezium is equal to the maximum speed of the train represented by 'V' km/h. The parallel sides are of lengths equal to (25 - 5 =) 20 min and (30 - 0 =) 30 min.
Converting the units of parallel sides from minutes to hours we get:
Now, area of a trapezium is given as:
Now, area under the curve is equal to the distance travelled. So,
Therefore, the maximum speed of the train is
You might be interested in
Answer:
Null hypothesis:
Alternative hypothesis:
(1)
Since the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of adults prefer window seats when they fly is significantly higher than 0.5 .
Step-by-step explanation:
1) Data given and notation
n=778 represent the random sample taken
X=492 represent the people that chose a window seat.
estimated proportion of people that chose a window seat.
is the value that we want to test
represent the significance level
Confidence=99% or 0.99
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the majority of adults prefer window seats when they fly:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
3) Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
4) Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided . The next step would be calculate the p value for this test.
Since is a right tailed test the p value would be:
5) Conclusion
Since the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of adults prefer window seats when they fly is significantly higher than 0.5 .