Answer:
91
Step-by-step explanation:
P(1) = 0.25
P(3) = 2P(2) = 3P(4)
P(5) = P(4) + 0.1 = P(6) − 0.1
The probabilities add up to 1:
1 = P(1) + P(2) + P(3) + P(4) + P(5) + P(6)
Write each probability in terms of P(4).
1 = 0.25 + 1.5P(4) + 3P(4) + P(4) + P(4) + 0.1 + P(4) + 0.2
1 = 0.55 + 7.5P(4)
0.45 = 7.5P(4)
P(4) = 0.06
Therefore, P(6) = P(4) + 0.2 = 0.26.
The expected value is the number of trials times the probability.
E = 350 × 0.26
E = 91
Answer:
The answer to the problem is True
Answer:
Option C is correct.
Step-by-step explanation:
Interest = $ 125.08
Rate = 6 %
We know that interest is given by
P = $ 2084.67
This is the value of interest. Thus option C is correct.
Answer:
785
Step-by-step explanation:
Multiply the length of the track by the amount of laps to get length in miles
188 * 2.6 = 487.8
then covert the miles to kilometers to get 785 kilometers
Equations with Independent and Dependent Variables
Common Core Standard: Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
Dependent variable – is a variable that changes because of the other variable or depends on the other variable
Independent variable –is a variable that is not impacted by other variables
Dependent and independent variables are very common in the real world
Example: Most coaches will say that the longer a player practices a sport the better the player will be at the sport.
o The dependent variable is the player’s ability, as it relies on the length of a practice
o The independent variable is the number of hours the player practices, because the player’s ability does not
impact the amount of time the player practice
