Discuss how you will use number sense to help plan a trip to your state capital. In your response, include the numbers that woul
1 answer:
To plan a trip to your state capital, you need the following numbers
- The number of available routes
- The distance
- The speed limit
- Time
Assume you're travelling by road, you need to highlight the number of routes between your state and the state capital.
The number of routes is a natural number (i.e. minimum of 1 e.g. 6, 8, 1). Because it is a natural number, the number of routes can never be 0.
Next is to determine the distance to the state capital through each route. In most cases, the distance between places are positive rational or irrational numbers (however, they can be approximated to natural numbers).
The speed limit on each route will also help in planning the trip. Speed limits are always represented as natural numbers. When you know the speed limit (and the distance), you can use that to predict how long (i.e. the time) the trip will take. The formula to use is:
Make time the subject
The value of time can be estimated/approximated as a natural number.
In addition to the previous number, you may also need the following numbers
- The liters of fuel to use
- The amount of fuel per liter
The essence of place value in these number (especially the numbers with decimal points) is to get an estimated value.
Read more about number properties at:
You might be interested in
Answer:
a. none of these answers
Data provides sufficient evidence, at 1% significance level, to support the expert's claim. In addition the p-value (or the observed significance level) is equal to P( T >3.281)
Step-by-step explanation:
Data given and notation
represent the mean height for the sample
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is higher than 10 years, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a one side right tailed test the p value would be:
Conclusion
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can't conclude that we have a mean higher than 10 years at 1% of significance.
a. none of these answers