Write the equation of the line in fully simplified slope intercept form
1 answer:
Answer:
Step-by-step explanation:
The equation of a line in slope-intercept form is
y = mx + b
where m = slope, and b = y-intercept.
From the graph, we see that the y-intercept, b, is -4, so now we have
y = mx - 4
Now we need to find the slope from the graph.
We see that the points (0, -4), the y-intercept, and (2, 1) are points of the line.
slope = rise/run
rise is a vertical distance. (Up is positive; down is negative.)
run is a horizontal distance. (Right is positive; left is negative.)
Start at (0, -4). Go up 5 units. That is a rise of +5 since you went up. Now go 2 units to the right. That is a run of +2 units since you went right. The rise is 5, and the run is 2.
m = slope = rise/run = 5/2
The equation is
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Answer:
Therefore values of a and b are
Step-by-step explanation:
Rewrite in the form
where a and b are integers,
To Find:
a = ?
b = ?
Solution:
..............Given
Which can be written as
Adding half coefficient of X square on both the side we get
...................( 1 )
By identity we have (A - B)² =A² - 2AB + B²
Therefore,
Substituting in equation 1 we get
Which is in the form of
On comparing we get
a = 3 and b = 2
Therefore values of a and b are
Answer:
Exactly 16%.
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.
The mean of a certain set of measurements is 27 with a standard deviation of 14.
This means that
The proportion of measurements that is less than 13 is
This is the p-value of Z when X = 13, so:
has a p-value of 0.16, and thus, the probability is: Exactly 16%.