Which of the following graphs show a proportional relationship?
2 answers:
The graph of proportional relationship is the straight line in Quadrant I and start in the origin.
Look at the picture.
Answer:
<h2>Third graph.</h2>Step-by-step explanation:
The third chart, the one which shows a line.
The third chart is showing a linear function, which is bases on a proportional relationship between two variables, their ratio (which is the slope of the line) can be positive or negative, when it's positive, it means that the ratio of change is increasing, if it's negative, their ratio of change is decreasing. In other words, when this ratio is negative, the function decreases and the line is inclined to the left, when the ratio is positive, the function increases and the line is inclined to the right.
The most basic proportion function, or linear function is , the one shown in the third graph, it's translated two units upwards, that's the difference.
Therefore, the linear graph is shown a proportional linear relation between the independent variable (x), and the dependent variable (y).
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Answer:
A. Rectangle
Step-by-step explanation:
It is often useful to plot the given points on a graph. Doing that lets you see the figure is a rectangle. You can count grid squares to see that the distances are the same between the endpoints of opposite sides.
Answer:
The child's reading level is at the 3.4th percentile.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 90 words per minute and a standard deviation of 24 words per minute.
This means that
You find an individual that reads 46.4 word per minute. At what percentile is the child's reading level?
The percentile is the p-value of Z when X = 46.4, multiplied by 100. So
has a p-value of 0.034.
0.034*100 = 3.4
The child's reading level is at the 3.4th percentile.