Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function illustrates the relationship between two variables (independent and dependent). The independent variable depends on nothing else, serving as the function's input, while the dependent variable relies on the independent variable, acting as the output.
The domain of a function includes all possible input variables (independent variable), and the range encompasses all potential output variables (dependent variables).
For the function C(p) = 65p, p represents the independent variable and C(p) constitutes the dependent variable.
As the hall accommodates a maximum of 50 individuals, the domain of this function is defined as [0, 50]
C(0) results in 65(0) = 0 and C(50) results in 65(50) = 3250
Thus, the range of this function is [0, 3250]
Answer: 504 Step-by-step explanation: To find the result for the left-leaning poll, Total voters = 900 + 1100 = 2000. Voters who say Trump was responsible = 56% of 2000, which equals 1120. Voters who say otherwise = 44% of 2000, which amounts to 880. For this network, those who say Trump is responsible = 1120 × (900/2000) = 1008000/2000, resulting in 504 registered voters.
E+7 indicates 10 raised to the power of 7, which entails shifting the decimal 7 places to the right, resulting in approximately 38200000.0.
Answer:
Step-by-step explanation:
Player A has a red marble and a blue marble, while Player B also has a red marble and a blue marble.
Therefore, the probability of selecting one marble is equal, at 0.5.
Due to the independence of A and B's choices, the joint event is calculated by multiplying the probabilities.
Let A represent the amount that player A wins.
If both players select one marble, the sample space can be considered as
(R,R) (R,B) (B,R) (B,B)
Probability 0.25 0.25 0.25 0.25
A's winnings 3 -2 -2 1
E(A) 0.75 -0.5 -0.5 0.25 = 0
Thus, the game is even, offering equal expected values for both A and B.
It does not influence the outcome whether you are A or B.
Answer:
8 cm
Step-by-step explanation:
The maximum potential length of the string corresponds to the greatest common divisor of 32, 16, and 8.
32 = 2 * 2 * 2 * 2 * 2
16 = 2 * 2 * 2 * 2
8 = 2 * 2 * 2
The GCD = 2 * 2 * 2 = 8
The greatest length of the string = 8 cm
