Answer:
The radius of the spherical tank is 12 meters
Step-by-step explanation:
In this question, we are tasked with calculating the radius of the spherical tank given the volume of air it can hold
Mathematically, the volume V of a sphere is 4/3 * pi * r^3
Thus, 7234.56 = 4/3 * 3.14 * r^3
7,234.56 = 4.19 * r^3
r^3 = 7234.56/4.19
r^3 = 1,728
r = cube root of 1,728
r = 12 meters
Answer:
The value 10 years is the population mean
Step-by-step explanation:
A sample consists of some observations drawn from the population, so a part or a subset of the population which in this case is the number of horses with colic.
A sample mean is the mean of the statistical samples while a population mean is the mean of the total population.
Thus, in this case, the sample mean is the mean age of the horses with colic while the population mean age is the mean age of all the horses found at the clinic.
Therefore, the mean age of 10 of the horses seen at the clinic would be the population mean.
Answer:
f(x) = 3(x + 8)(x - 2)
Step-by-step explanation:
The intercept form of a quadratic function is y = a(x - r)(x - s), where r and s are the x-intercepts and a is the vertical stretch/compression factor.
If the intercepts are at (-8, 0) and (2, 0), and the vertical stretch is 3, just substitute these values into the intercept form formula, and you're done!
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Answer:
16 fluid ounces
Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
You have to realize that the absolute value function will change the sign of its argument only if that argument is negative.
108. |x -7| = x -7 . . . . . true for x-7≥0
x ≥ 7 . . . . makes the statement true
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1a. When m < 9, the value 6m is less than 54, so 6m-54 < 0. That means the absolute value function changes the sign of its argument:
54 -6m . . . . . simplified form for m < 9
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1b. |y -x| = y -x . . . when y > x, the argument of the absolute value is positive