The coefficients are -7, 8, -3, 1, and -9
The factorial ! just means we multiply by every natural number less that the value so
6! =6×5×4×3×2×1= 720
for permutations we use the formula n!/(n-r)!
so we have 8!/(8-5)!=8!/3!=8×7×6×5×4
for combinations s we have n!/(n-r)!r!
so we have 12!/(12-4)!4!=12!/8!4!=12×11×10×9/4×3×2=11×10×9/2=99×5
As the angle sum of triangle is 180
with one angle is 60 the sum of the remains two angles is 120
let the smallest angle be x
as the larger angle is twice of the smaller angle, it will be 2x
therefore, x+2x = 120, x= 40
so the smallest angel of the triangle is 40 degree
The value of x when y = 14 is 8.4
<h3 />
<h3>How to solve variation ?</h3>
y, varies directly as x. Therefore,
y ∝ x
Therefore,
y = kx
where
- k =constant of proportionality
Therefore,
10 = 6k
k = 10 / 6
k = 5 / 3
Hence, when y = 14
y = kx
14 = 5 / 3 x
cross multiply
42 = 5x
x = 42 / 5
x = 8.4
learn more on variation here: brainly.com/question/20707320
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In 2005, 23 is in the second deviation
19 22 25 28 31 33 35
In 1965, 23 is in the third deviation.
12 14 16 18 20 22 24
<span>By the way, 13.5% range from 22 to 25 in 2005, while 2.1% range from 22 to 24 in 1965</span>
