Answer:
Substitution
Step-by-step explanation:
Subtitue x=3 into the second equation
y=2(3)+1
y=6+1
y=7
Answer:
Third option: The numerical value of the circumference is greater than the numerical value of the area.
Step-by-step explanation:
The area of a circle can be calculated with this formula:
Where "r" is the radius of the circle.
The circumference of a circle can be calculated with this formula:
Where "r" is the radius of the circle.
In this case you know that:
Then, if you subsitute this value into the formula and you solve for "r", you get that the radius of the circle is:
Then, substituting the radius into the formula for calculate the area of a circle adn evaluating, you get that its area is:
Based on the obtained, you can identify that:
Therefore, the numerical value of the circumference is greater than the numerical value of the area.
Answer:
C: The numerical value of the circumference is greater than the numerical value of the area.
Step-by-step explanation:
Answer: –12, –18, –27, ... [ A.K.A: (A.) ]
The game is fair in the sense that the expected value is not negative.
The expected value serves as a gauge for a random variable's typical value. It is determined by multiplying each of the variables' potential outcomes by its corresponding probability, then adding the resulting products. In order to comprehend the typical outcome of a random process and determine if a given course of action is likely to be lucrative or not, the expected value is a valuable tool in decision-making.
The probability of getting a spade is 13/52 or 1/4.
The probability of getting anything else is 3/4.
he expected value of playing the game can be calculated as:
Expected value = (probability of winning x amount won) - (probability of losing x amount lost)
Expected value = (1/4 x $10) - (3/4 x $3)
Expected value = $2.50 - $2.25
Expected value = $0.25
Since the expected value is positive, this means that on average, you can expect to win $0.25 for every time you play the game.
Hence, game is fair in the sense that the expected value is not negative.
Learn more about expected value here:
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