Pls pls pls graph 4x + 3y = 12
2 answers:
You have to start by converting the equation to slope intercept form, or , where m represents the slope, and b represents the y-intercept. Start by subtracting 4x on both sides in order to move it to the other side of the equation. This gives us
. Switch around 12 and -4x to conform to the formula;
. Finally, divide by 3 to isolate y;
. This is the final equation, and it tells us two things, firstly that the slope is negative 4/3, which means that for every 4 units the line goes up, it goes left 3 units, and for every 4 units the line goes down, it goes right 3 units. The y-intercept is where the line intersects when x = 0. 4 is the y-intercept, as it intersects the line at (0, 4). You can then graph it on an online calculator or graph paper. For this example I used an online calculator called 'Desmos'.
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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
For any circle with Cartesian equation
,
we have that the centre of the circle is
, and the radius of the circle is 
.
So in the case that
,
we essentially have that
.
So the centre of the circle is
, and the radius is 
.
we have that the centre of the circle is
So in the case that
we essentially have that
So the centre of the circle is