<span>Not the mean of the two speeds. The average speed is the totality of the distance divided by the totality of the time. For convenience, let us say that the distance is 1000 miles. Then the total time is
(500 / 55) + (500 / 90) = 14.65 hours
The average speed is 1000 divided by the total time, 68.28 mph.
The reason that the true average speed, 68.28, comes out lower than Mirt's naive value is that you spend more TIME driving at 55 miles per hour than at 90 miles per hour. That reduces that true average speed below the mean of the two speeds.
Here's one for Mirt: let's say you want to complete a trip at an average speed of 60 miles per hour. You go the first half of the distance at 30 miles per hour. How fast would you have to go the second half? (Mirt would say 90, but that is not correct. There is in fact no speed for the second half that could raise your average to 60. Let's say the whole trip is 60 miles and you would like to complete it in one hour, for an average of 60 miles per hour. If you do the first half, 30 miles, at 30 miles per hour, you have used up your whole time and cannot raise your average to 60 no matter how fast you go.)</span>
Answer:
Confidence Interval = (23.776, 24.224)
Step-by-step explanation:
Restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average.
⇒ Mean = 24 ounces.
Standard Deviation = 0.8
Number of bottles used for sample = 49
⇒ n = 49
Confidence level = 95%
Corresponding z value with 95% confidence level = 1.96
Now, confidence interval is given by the following expression :
Hence, Confidence Interval = (23.776, 24.224)
To write something in percent form, find out what the numerator becomes when the denominator is equal to 100. Add a percent sign to the numerator and you get the fraction in percent form.
In
we can multiply the fraction by 5 to make the denominator 100. The numerator will be 35. So the answer is
35%.
Answer:
C
Step-by-step explanation:
I don't have any step by step explanation
Answer:
Step-by-step explanation:
A trapezoid area is a rectangle area plus one or two trianagles areas on each end
Area of a trapezoid =( base 1 x height) + ((1/2)(base 2 - base 1) x height)
solve for height
factor out the height
Area = height [ base 1 + 1/2(base 2 - base 1)]
divide both sides by [ base 1 + 1/2(base 2 - base 1)]
Area / [(base 1 + 1/2(base 2 - base 1)] = height
plug and chug
68 / ( 7 + (1/2)(27 - 7) = height
height = 68 / (7 + (1/2)(20))
= 68 / 17
= 4 ft <-------------- FINAL ANSWER