Answer:
(-4, -3), (4, -1), (8, 0), (12, 1)
Step-by-step explanation:
The x- and corresponding y-values are listed in the table. Put each pair in parentheses, <em>x-value first</em>. (That is an <em>ordered pair</em>.)
(x, y) = (-4, -3) . . . . from the first table entry
(x, y) = (4, -1) . . . . from the second table entry
(x, y) = (8, 0) . . . . from the third table entry
(x, y) = (12, 1) . . . . from the last table entry
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
Point slope form is y - y1 = m(x - x1)
so if the slope is m= 2 and (x1,y1) = (1,3) is a point on the line the equation is:-
y - 3 = 2(x - 1)
Answer: The answer should be 0.125
Step-by-step explanation:
Answer:
The point A′ of the image coincides with point D of the preimage. The point B′ of the image coincides with point E of the preimage.
Step-by-step explanation:
It is given that regular octagon ABCDEFGH rotates 135º clockwise about its center to form octagon A′B′C′D′E′F′G′H′.
It means the central angle divided in 8 equal parts. The central angle between two consecutive vertices is
The regular octagon ABCDEFGH rotates 135º clockwise.
Therefore the point A′ of the image coincides with point D of the preimage. The point B′ of the image coincides with point E of the preimage.
