A pens nearest 1/2 inch
1 answer:
You might be interested in
Answer:
y = -0.2x - 5.8
Step-by-step explanation:
If a line is given in the form y = mx + b, the "m" is the slope.
For the line given y = 5x, the slope is 5
The line that is perpendicular to this will have slope that is "negative reciprocal of that".
So, the perpendicular line will have slope of
So, the Perpendicular Line will have equation:
y = -1/5x + b
Let's find b by replacing x with 6 and y with -7 [the point given]. So we have:
So the equation of perpendicular line = y = -0.2x - 5.8
Answer:
99.38%
Step-by-step explanation:
We have that the mean (m) is equal to 124, the standard deviation (sd) 6.4 and the sample size (n) = 64
They ask us for P (x <126)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (126 - 124) / (6.4 / (64 ^ 1/2))
z = 2.5
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <2.5) = 0.9938
The probability is 99.38%
