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Why doesn't the normal curve ever touch the axis?
The normal curve, or Gaussian distribution, approaches but never touches the axis because it is defined mathematically to extend infinitely in both directions. As you move further away from the mean, the probability density decreases, but it never actually reaches zero; instead, it asymptotically approaches the horizontal axis. This characteristic reflects the fact that while extreme values become increasingly unlikely, they are still possible, ensuring that the total area under the curve remains equal to one.
What is a symmetric curve?
A symmetric curve is a type of curve that exhibits mirror-image properties about a specific axis or point. For example, a curve is symmetric about the y-axis if for every point (x, y) on the curve, the point (-x, y) is also on the curve. Similarly, a curve can be symmetric about the x-axis or a point, where the points reflect across the respective axis or point. This symmetry can simplify analysis and calculations involving the curve.
Where x axis meets y axis?
wdwe
What is the graph of an exponential decay function would have a curve upward along the x-axis towards negative infinity?
Your question seems very confused. The normal convention of the Cartesian coordinate system would place negative numbers below the x axis, so that any curve approaching negative infinity would curve downward, not upward.
Why indifference curve never touches x axis or y axis?
Indifference curves represent combinations of two goods that provide the same level of utility to a consumer. If an indifference curve were to touch the x-axis or y-axis, it would imply that the consumer is indifferent to having zero quantity of one good, which contradicts the assumption of non-satiation—the idea that more of a good always provides greater utility. As such, consumers derive some level of satisfaction from both goods, preventing the curve from touching either axis.
Do the Asymptotic means that the normal curve gets closer and closer to the X-axis but never actually touches it?
yes, an asymptote is a curve that gets closer but never touches the x axis.
Why two tail of normal distribution do not touch the horizontal axis?
The domain of the Normal distribution is the whole of the real line. As a result the horizontal axis is asymptotic to the Normal distribution curve. The curve gets closer and closer to the axis but never, ever reaches it.
Does a normal curve ever intersect the x axis?
No
Why doesn't the normal curve ever touch the axis?
The normal curve, or Gaussian distribution, approaches but never touches the axis because it is defined mathematically to extend infinitely in both directions. As you move further away from the mean, the probability density decreases, but it never actually reaches zero; instead, it asymptotically approaches the horizontal axis. This characteristic reflects the fact that while extreme values become increasingly unlikely, they are still possible, ensuring that the total area under the curve remains equal to one.
How do you find the area enclosed by the curve y equals 7x-x2-10 and the x-axis?
The area under a curve (between it and the x-axis) is found by integrating the curve: area = ∫ y dx The area enclosed between the curve and the x-axis is bounded by where the curve meets the x-axis. 7x - x² - 10 = -(x - 2)(x - 5) = 0 → The curve meets the x-axis at x = 2 and x = 5 The area between the limits is the difference between the value of the the integral at the limits. → A = ∫ y dx = ∫ 7x - x² - 10 dx = (7/2)x² - (1/3)x³ - 10x + c → A = ((7/2)×5² - (1/3)×5³ - 10×5 + c) - ((7/2)×2² - (1/3)×2³ - 10×2 + c) = 4.5
What is a symmetric curve?
A symmetric curve is a type of curve that exhibits mirror-image properties about a specific axis or point. For example, a curve is symmetric about the y-axis if for every point (x, y) on the curve, the point (-x, y) is also on the curve. Similarly, a curve can be symmetric about the x-axis or a point, where the points reflect across the respective axis or point. This symmetry can simplify analysis and calculations involving the curve.
Distinguish between demand curve and engel curve?
The difference is the Y- axis. In the case of the Demand curve the Y - axis is the retail price of the good. On the Engel's curve the Y -axis is the amount of income over a set period of time.
What are the characteristics of a normal distribution curve?
Characteristics of a Normal Distribution1) Continuous Random Variable.2) Mound or Bell-shaped curve.3) The normal curve extends indefinitely in both directions, approaching, but never touching, the horizontal axis as it does so.4) Unimodal5) Mean = Median = Mode6) Symmetrical with respect to the meanThat is, 50% of the area (data) under the curve lies to the left ofthe mean and 50% of the area (data) under the curve liesto the right of the mean.7) (a) 68% of the area (data) under the curve is within onestandard deviation of the mean(b) 95% of the area (data) under the curve is within twostandard deviations of the mean(c) 99.7% of the area (data) under the curve is within threestandard deviations of the mean8) The total area under the normal curve is equal to 1.
Which solid figure has only one face?
cone +++ A sphere or other full solid of revolution generated about either axis where the curve meets that axis in 2 places, and those intercepts are the solid's poles. (A cone has 2 faces)
Where x axis meets y axis?
wdwe
What is typically displayed on the x-axis of a solubility curve?
Temperatures are usually written on the x-axis of a solubility curve. Grams per 100 grams of water is usually shown on the y-axis.
What is the graph of an exponential decay function would have a curve upward along the x-axis towards negative infinity?
Your question seems very confused. The normal convention of the Cartesian coordinate system would place negative numbers below the x axis, so that any curve approaching negative infinity would curve downward, not upward.
