Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.
The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).
In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.
Since the hall can hold a total of 50 people, the domain of the function = [0, 50]
C(0) = 65(0) = 0, C(50) = 65(50) = 3250
Hence, the range of the function = [0, 3250]
Answer:
The function is decreasing for all real values of x where x < 1.5.
Step-by-step explanation:
we have



This is a vertical parabola open upward
The vertex is a minimum
The vertex is the point (1.5,-6.25)
we know that
The function is decreasing in the interval ----> (-∞,1.5) x < 1.5
That means----> the function is decreasing for all real values of x less than 1.5
The function is increasing in the interval ----> (1.5,∞) x> 1.5
That means----> the function is increasing for all real values of x greater than 1.5
see the attached figure to better understand the problem
therefore
The statement that is true is
The function is decreasing for all real values of x where x < 1.5.
<u>Given</u>:
Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W. Secant T V intersects the circle at point U.
The length of TU is (y - 2).
The length of UV is 8.
The length of SW is (y + 4)
The length of WV is 6.
We need to determine the length of line segment SV.
<u>Value of y:</u>
The value of y can be determined using the intersecting secant theorem.
Applying, the theorem, we get;

Substituting the values, we have;






Thus, the value of y is 6.
<u>Length of SV:</u>
The length of SV is given by




Thus, the length of SV is 16 units.
Hence, Option D is the correct answer.
If a variable is binomially distributed with n trials and a success probability of p, then the mean = np, variance = np(1–p) and standard deviation = square root of variance.
In this case, n = 1200, p = 0.35. So, mean = (1200)(0.35) = 420,
variance = (1200)(0.35)(1–0.35) = 273,
standard deviation = square root of variance = √273 = 16.52.
Answer:
10
Step-by-step explanation:
Out of the ten cards she has ten chances to pick each one