A bus travels 36 miles in 45 mins. Enter the number of miles the bus travels in 60 mins at this rate.
2 answers:
Answer: The answer is 48 miles.
Step-by-step explanation: Given that the bus travels 36 miles in 45 minutes.
We are to find the distance in miles that the bus will travel in 60 minutes.
Obviously, we will be using unitary method to solve this problem. Here it goes.
In 45 minutes, distance travelled by bus = 36 miles
In 1 minute, the distance travelled by bus
∴ In 60 minutes, distance travelled by bus is given by
Thus, the required number of miles is 48.
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The decision rule for rejecting the null hypothesis, considering the t-distribution, is of:
- |t| < 1.9801 -> do not reject the null hypothesis.
- |t| > 1.9801 -> reject the null hypothesis.
At the null hypothesis, it is tested if there is not enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means is of zero, hence:
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means different of zero, hence:
We have a two-tailed test, as we are testing if the mean is different of a value.
Considering the significance level of 0.05, with 75 + 46 - 2 = 119 df, the critical value for the test is given as follows:
|t| = 1.9801.
Hence the decision rule is:
- |t| < 1.9801 -> do not reject the null hypothesis.
- |t| > 1.9801 -> reject the null hypothesis.
More can be learned about the t-distribution in the test of an hypothesis at brainly.com/question/13873630
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