A motorcycle can travel 70 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 60 km?
2 answers:
Answer: 0.5 gallon
Step-by-step explanation:
We know that 1 mile = 1.6 km
A motorcycle can travel in 1 gallon fuel= 70 miles
In kilometers,
A motorcycle can travel in 1 gallon fuel=
So the motorcycle need fuel to travel 112 kilometers= 1 gallon
⇒ The motorcycle need fuel to travel 1 kilometers
⇒ The motorcycle need fuel to travel 60 kilometers
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Answer:
The diameter is 13.88 feet.
Step-by-step explanation:
1. The formula for calculate the volume of a sphere is:
Where is the radius.
2. The diameter is:
3. So, you must solve for the radius in the first equation:
4. Then, the diameter is:
Answer:
Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old
Step-by-step explanation:
Data given
represent the sample mean
represent the sample standard deviation
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)
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean is less than 36 years old, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
And replacing we got:
Now we can calculate the critical value but first we need to find the degreed of freedom:
So we need to find a critical value in the t distribution with df =21 who accumulates 0.025 of the area in the left and we got:
Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old