Answer: The mean of the data is 433.75, variance of the data is 99667.19 and the standard deviation of the data is 315.7011.
Explanation:
The given data is 900, 35, 500 and 300.
The number of observation is 4.
Formula of mean is,
The formula of variance is given below,
The variance of the data is 99667.19
The standard deviation of the data is 315.7011.
The other information or values of given chart is shown in the attached table.
Answer:
Step-by-step explanation:
18000(1+8/100)
18000(108)/100
19440
Determine the area of the circular region that can be reached by the radio station signal using the equation.
A = πD²/4
A is area and D is diameter. Using 3.14 as pi value.
A = (3.14)(120 mi)² / 4
A = 11304 mi²
Knowing that in each of the squared miles, 100 people live.
total population receiving the signal = 11304 mi² x (100 people / 1 mi²)
= 1,130,400
Thus, the answer is letter C.
Answer:
9
Step-by-step explanation:
the speed increases 9 mph a second
Answer:
The two horiz. tang. lines here are y = -3 and y = 192.
Step-by-step explanation:
Remember that the slope of a tangent line to the graph of a function is given by the derivative of that function. Thus, we find f '(x):
f '(x) = x^2 + 6x - 16. This is the formula for the slope. We set this = to 0 and determine for which x values the tangent line is horizontal:
f '(x) = x^2 + 6x - 16 = 0. Use the quadratic formula to determine the roots here: a = 1; b = 6 and c = -16: the discriminant is b^2-4ac, or 36-4(1)(-16), which has the value 100; thus, the roots are:
-6 plus or minus √100
x = ----------------------------------- = 2 and -8.
2
Evaluating y = x^3/3+3x^2-16x+9 at x = 2 results in y = -3. So one point of tangency is (2, -3). Remembering that the tangent lines in this problem are horizontal, we need only the y-coefficient of (2, -3) to represent this first tangent line: it is y = -3.
Similarly, find the y-coeff. of the other tangent line, which is tangent to the curve at x = -8. The value of x^3/3+3x^2-16x+9 at x = -8 is 192, and so the equation of the 2nd tangent line is y=192 (the slope is zero).
