4. A discus is thrown from a height of 4 feet with an initial velocity of 65 ft/s at an angle of 44° with the horizontal. How lo
ng will it take for the discus to reach the ground?
2 answers:
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Answer:
The 99% confidence interval for the mean distance from home to work for all residents of this state is between 8.49 and 9.19 miles.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a pvalue of , so Z = 2.575.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 8.84 - 0.35 = 8.49 miles.
The upper end of the interval is the sample mean added to M. So it is 8.84 + 0.35 = 9.19 miles.
The 99% confidence interval for the mean distance from home to work for all residents of this state is between 8.49 and 9.19 miles.
The speed from City A to City B is 506 miles per hour
<em><u>Solution:</u></em>
A pilot flew a jet from City A to City B, a distance of 2300 miles
Distance for trip = 2300 miles
Distance for return trip = 2300 miles
The round-trip took 8 h 20 min
Total time taken for both trips = 8 hour 20 minutes
We know that,
1 hour = 60 minutes
Thus, we get,
Total time taken for both trips =
On the return trip, the average speed was 20% faster than the outbound speed
Let "x" be the speed for out bound trip
Then, x + 20 % of x is the average speed of return trip
Speed for return trip = 1.2x
<em><u>Time taken is given by formula:</u></em>
Thus speed from City A to City B is 506 miles per hour