Graph the inequality in the coordinate plane: x<-3
1 answer:
Answer:
Graph of the inequality x< -3 as shown below in the figure.
Step-by-step explanation:
Given the inequality: x < -3
Graph of this inequality as shown below in the figure.
All the points that are lie in the shaded area satisfy the equation x < -3 or
In other words, we can say that x can take any value less than -3 .
x ≠ -3 or any number that is greater than -3.
Since there is a strict inequality i.e x < -3 , the points that lie on the line x = -3 does not satisfy the equation.
Therefore, the dotted line is marked at x = -3
You might be interested in
Answer:
0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question:
What is the probability that a randomly generated value of X is greater than a randomly generated value of Y
This means that the subtraction of X by Y has to be positive.
When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So
We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So
has a pvalue of 0.0228
1 - 0.0228 = 0.9772
0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y