Step-by-step explanation:
<h3> Solution,</h3><h3>Given,</h3><h3>Coordinates of A and B are (2,3) and(8,9) respectively.</h3><h3> Let A(2,3)= (x1,y1) and B(8,9)=(x2,y2)</h3><h3>Midpoint of AB(m)=?</h3><h3>Now,using midpoint formula</h3><h3>m= {(x1+x2)/2 ,(y1+y2)/2}</h3><h3>or m= {(2+8)/2,(3+9)/2}</h3><h3>.°. m=(5,6) </h3>
A modulus is pretty much just the square root of x^2 + y^2, where y is the number that stands with the imaginary “i” and x is the real number. In this case, x is 2 and y is 3, so your modulus would be the square root of 4 + 9 (2^2 + 3^2), or the square root of 13.
Answer:
a) x = 119 minutes
the mean value for average movie length in minutes is 119 minutes
b) margin of error M.E = 44 minutes
Note; Since the number of samples used is not given, the standard deviation r cannot be calculated using the equation
M.E = zr/√n
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
x+/-M.E
M.E = zr/√n
Given that;
M.E = margin of error
Mean = x
Standard deviation = r
Number of samples = n
Confidence interval = 95%
z value (at 95% confidence) = 1.96
a) The mean value x can be calculated as;
x = (a+b)/2
Where a and b are the lower and upper bounds of the confidence interval;
a = 75 minutes
b = 163 minutes
substituting the values;
x = (75+163)/2
x = 119 minutes
the mean value for average movie length in minutes is 119 minutes
b) the margin of error M.E can be calculated as;
M.E = (b-a)/2
Substituting the values;
M.E = (163-75)/2
M.E = 44 minutes
Since the number of samples used is not given, the standard deviation r cannot be calculated using the equation
M.E = zr/√n
<span>This would be a bell curve with a z-score of greater than +2.00, since 3 minutes is exactly two standard deviations greater than the mean of 2.00. Looking at a z-score table for the proportion of the curve that lies in the 1-tailed area greater than 2.00, we find that the value is .0228. This would be the probability that the conversation is over three minutes: 0.0228 or 2.28%.</span>
You would need to change the slope to -6 because perpendicular lines have opposite reciprocal slopes.
