Write an equation in slope-intercept form for the line that passes through (1, 1), and is perpendicular to the graph of 3x + 2y
2 answers:
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Answer:
The slopes are
Therefore, the equations are equations of <u> Perpendicular Lines .</u>
Step-by-step explanation:
Given:
......................Equation ( 1 )
..............Equation ( 2 )
To Find:
Slope of equation 1 = ?
Slope of equation 2 = ?
Solution:
On comparing with slope point form
Where,
m = Slope
c = y-intercept
We get
Step 1.
Slope of equation 1 = m1 =
Step 2.
Slope of equation 1 = m2 =
Step 3.
Product of Slopes = m1 × m2 =
Product of Slopes = m1 × m2 = -1
Which is the condition for Perpendicular Lines
The slopes are
Therefore, the equations are equations of <u> Perpendicular Lines . </u>
Answer:
a) The difference is of 35 beats per minute.
b) So 3.07 standard deviations below the mean.
c) Z = -3.07.
Step-by-step explanation:
Z-score:
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.
In this question:
Mean , standard deviation
a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the? females?
39 - 74 = -35
The difference is of 35 beats per minute.
b. How many standard deviations is that? [the difference found in part? (a)?
|Z| when X = 39. So
|Z| = 3.07
So 3.07 standard deviations below the mean.
c. Convert the pulse rate of 39 beats per minutes to a z score.
From item b. above, Z = -3.07.