Do the standard deviations satisfy the guidelines for the use of ANOVA? No, because the largest standard deviation is less than
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The rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
<h3>What is a quadratic equation?</h3>Any equation of the form Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Let's suppose the rate of the current = r
The time it takes to go downstream + 4 hours = time to go upstream
As we know the:
Now,
After solving:
After cross multiplication
44(8+r) - 44(8-r) = 3(8+r)(8-r)
88r = 3(64 - r²)
3r² + 88r - 192 = 0
After solving the above quadratic equation, we get:
r = 2.03 or
r=−31.37 (reject as it is negative)
So, the r =2.03 mph
Thus, the rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
Learn more about quadratic equations here:
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Answer:
t = 3.11 seconds
Step-by-step explanation:
Given that,
At the circus, a clown is shot from a cannon. This situation can be modeled by the function :
Where
'h' is height in feet and 't' is time in seconds
We need to find how long did it take for the clown to reach his highest point. It can be calculated as follows :
We need to solve for t. It can be calculated as follows :
So, the required time is 3.11 seconds.