Several weeks ago an article appeared in the press comparing the Fit Bit exercise monitor to the Garmin monitor. In fact, earlie
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Answer:
Since the measurement can't be negative the correct answer for this case would be
Step-by-step explanation:
Let's assume that the figure attached illustrate the situation.
For this case the we know that the original area given by:
And we know that the initial area is a half of the entire area in red , so then:
And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:
We multiply both terms using algebra and the distributive property and we got:
And we can rewrite the expression like this:
And we can solve this using the quadratic formula given by:
Where if we replace we got:
And the two possible solutions are then:
Since the measurement can't be negative the correct answer for this case would be
Answer:
a) 90.1
b) $35.6
c) 3.0915 hours
Step-by-step explanation:
The z-score measures how many standard deviations a score X is above or below the mean.
It is given by the following formula:
In which is the mean and
is the standard deviaition.
In all three cases, we have to find X
a. Final exam scores: Allison’s z-score = 2.30, μ = 74, σ = 7.
b. Weekly grocery bill: James’ z-score = –1.45, μ = $53, σ = $12.
Mean and standard deviation in dollars, so the answer also in dollars.
c. Daily video game play time: Eric’s z-score = –0.79, μ = 4.00 hours, σ = 1.15 hours.
Mean and standard deviation in hours, answer in hours.