Answer:
The given algebraic representation (x,y) → (-x, y) represents the reflection of a point (x, y) across the y-axis.
Step-by-step explanation:
We know that when a point P(x, y) is reflected across the y-axis, the x-coordinate changes/reverses its sign, but the y-coordinate stays the same.
Thus, the rule of reflection of a point P(x, y) across y-xis is:
P(x, y) → P'(-x, y)
For example, if a point A(1, 2) is reflected across the y-axis, the coordinates of the image A' of the point A(1, 2) will be:
A(1, 2) → A'(-1, y)
In our case, we are given the algebraic representation
(x,y) → (-x, y)
Here:
- The x-coordinate changes/reverses its sign
- The y-coordinate stays the same.
Thus, the given algebraic representation (x,y) → (-x, y) represents the reflection of a point (x, y) across the y-axis.
4 + 1 = 5
1/5 = 0.2
0.2 = 20%
Answer:
See explanation
Step-by-step explanation:
Solution:-
- The effect of an outlier on the mean, median and range is to be investigated.
- Mean: It is the average of all the values. If the outlier "22" is lies on the upper spectrum of the center value. If the outlier is removed the value of center or mean will decrease.
- Median: The median value is mostly defined as the value around which their is a cluster of data. The value of the outlier "22" if close to that cluster of data points is omitted there will be small deviation in the value of median. If the value of the outlier "22" if far away to that cluster of data points is omitted there will be significant deviation in the value of median.
- Range: Is defined by the uppermost and lowermost value from a set of data points that is considered. The value of outlier will equally effect either of these limits depending where the outlier lies close to upper limit or lower limit of the range.
One-Shot Nash equilibrium is (A, C).
Yes the players can achieve payoffs that are better than the one-shot Nash equilibrium.
This is due to the fact that player 2 will choose strategy C if player A chooses option A. Player 2 will immediately choose Plan C if Player A chooses Option B. As a result, C becomes the second player's dominant strategy. The optimal decision for player 1 is to choose strategy A if player 2 chooses option C. Player 1 will select A if Player 2 chooses to choose D, making this Player 1's dominant move.
A Nash equilibrium is necessary for matrix reward games with two players if the row chosen is to maximize the payoff for the row player given the column chosen by the column player, and the column, in turn, is to maximize the payoff for the column player given the row chosen by the row player.
Learn more about Nash equilibrium:
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Answer:
82.5
Step-by-step explanation:
330/4=82.5
there are 4 sides to a square and they are even this means that you need to divide it by 4 to get the dimensions. If you multiply 82.5 by itself it will equal 330 meaning that is the answer.