If the two cars are now a straight-line distance of 17 kilometers apart, how far has the northbound car traveled?
1 answer:
Answer:
Step-by-step explanation:
The northbound car has traveled a distance of 6.2 miles.
Step-by-step explanation:
Step 1:
The eastbound car has traveled a distance of 5 miles and if a straight line is drawn between the two car's positions it would measure 8 miles.
This forms a triangle which has a hypotenuse measuring 8 miles while one of the other sides measures 5 miles.
Assume the distance traveled by the northbound car is x miles.
Step 2:
So the northbound car has traveled a distance of 6.244 miles. Rounding this off, we get 6.2 miles.
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Answer:
The 99% confidence interval estimate of the mean body temperature of all healthy humans is (97.955F, 98.245F).
98.6F is above the upper end of the interval, which means that the sample suggests that the mean body temperature could be lower than 98.6F.
Step-by-step explanation:
The first step is finding the confidence interval
The sample size is 103.
The first step to solve this problem is finding how many degrees of freedom there are, that is, the sample size subtracted by 1. So
Then, we need to subtract one by the confidence level and divide by 2. So:
Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 102 and 0.005 in the t-distribution table, we have .
Now, we need to find the standard deviation of the sample. That is:
Now, we multiply T and s
For the lower end of the interval, we subtract the mean by M. So 98.1 - 0.145 = 97.955F.
For the upper end of the interval, we add the mean to M. So 98.1 + 0.145 = 98.245F.
The 99% confidence interval estimate of the mean body temperature of all healthy humans is (97.955F, 98.245F).
98.6F is above the upper end of the interval, which means that the sample suggests that the mean body temperature could be lower than 98.6F.