Answer:
The GCF for 84 and 90 is 6.
Step-by-step explanation:
The factors of 84 are: 1, 2, 3, 4, <u>6</u>, 7, 12, 14, 21, 28, 42, 84
The factors of 90 are: 1, 2, 3, 5, <u>6</u>, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 6.
<u>GCF=6</u>
<em>In order to find the GCF of 84 and 90 you must find the prime factors of each term.</em>
y = (-1/4)x + 9/4
2y = 8x - 6
So, y = 4x - 3 (Slope = 4)
Slope of perpendicular line = -1/4
Equation of line: y-3 = (-1/4)(x-(-3))
y-3 = (-1/4)x - 3/4
(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.
We are given the following in the question:
Sample size, n = 121
Sample mean = 23.4
Sample standard deviation = 3.65
Level of significance = 0.05
Degree of freedom
95% Confidence interval:
Calculation of critical value:
Putting the values, we get,
The scale factor of dilation is .
When describing an enlargement you must state by how much the shape has been enlarged or reduced.
Area of triangle B =
= 0.5 x 2 x 3
= 3 units
Area of triangle A =
= 0.5 x 4 x 6
= 12 units
Scale factor =
=
Hence, the scale factor of dilation is .
Learn more about scale factor here:
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the slope of the line is 2