Answer:
6/(49π) ≈ 0.03898 m/min
Step-by-step explanation:
V = πr²h . . . . formula for the volume of a cylinder
dV/dt = πr²·dh/dt . . . . differentiate to find rate of change
Solving for dh/dt and filling in the numbers, we have ...
dh/dt = (dV/dt)/(πr²) = (6 m³/min)/(π(7 m)²) = 6/(49π) m/min
dh/dt ≈ 0.03898 m/min
<h3>
Answer: $7,018,000</h3>
This value is a little over 7 million dollars
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Explanation:
120,587 rounds to 121,000 when rounding to the nearest thousand.
The instructions don't mention rounding 58, so we'll leave it as that
Multiply the values to get
58*121,000 = 7,018,000
which is the estimate of how much money was earned.
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The actual amount of money earned is
58*120,587 = 6,994,046
which isn't too far off of our estimate.
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Note: the value of 25 days is never used. You could have any other number of days you want, and the answer is still the same. This value is probably either filler or some kind of distraction.
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:
Given that μ = $72,641 and σ = $30,000.
a) x > $100000
P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814
b) n = 5
x > $100000
P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207
c) n = 10
x > $100000
P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002
23 3/4. because if it was 0.25, then you know that it is a quarter, 0.50 is half, therefore 0.75 is three quarters
