Emily runs a hotel. She wants to hold a party in the banquet hall of her hotel. The hall has a size of 120,000 square feet. By f
1 answer:
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Answer:
The correct answer is "(18, 30) minutes".
Step-by-step explanation:
Mean,
= 24
Standard deviation,
= 2
The range of minutes where 99.7% of individuals completed the quiz will be:
=
On substituting the values, we get
=
=
now,
=
=
Or,
=
=
i.e., 18 to 30 minutes
Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.
Step-by-step explanation:
Consider the provided information.
For the proportion method first set up the equation like this:
Perform the cross multiplication and then solve for the missing part.
For example:
Find 80 percentage of 10.
Step 1: Set up the equation.
Step 2: Perform the cross multiplication
Step 3: Solve for the missing part.