Your starting point is 0.5 and your slope is x or 1/1.
We will start off working on the right hand side.
<span>cot x - tan x </span>
<span>= [cos x / sin x] - [sin x / cos x] </span>
<span>= [(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>This is where it gets a bit tougher if you do not have your formula list with you. </span>
<span>(cos x)^ 2 - (sin x)^2 = cos(2x) </span>
<span>sin 2x = 2 sin x cos x </span>
<span>Note that by arranging the second formula, we will have sin x cos x = (1/2) sin 2x </span>
<span>Hence, we will get: </span>
<span>[(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>= [cos 2x] / (1/2)[sin 2x] </span>
<span>= 2[cos 2x] / [sin 2x] </span>
<span>= 2cot 2x </span>
Answer:
The answer is -1.2
Step-by-step explanation:
Recalling the standard deviation formula,
we have : σ = sqrt[ P * ( 1 - P ) / n ]
Where sqrt = square root
n = Number of derivative
Therefore,:
if, H0: p is not 48% vs H1: p1 = 48%
standard deviation is:
σ = sqrt[ P * ( 1 - P ) / n ] = sqrt[ .48*.49/900 ] = .01666333+
z -score is (p-P)/σ
= (.51-.53)/.01666333
The answer therefore = -1.2
ICONCLUSION:
It can therefore be concluded that there is statistical evidence that the proportions are different. H0 accepted in the hypothesis.
Answer:
x = 16°
H = 46°
I = 55°
J = 39°
Step-by-step explanation:
Since the whole figure is 180°
Deduct 180 by the numbers mentioned above in order to find x.
180 - 2 - 9 - 9 = 160
3x + 4x + 3x = 10x
10 x = 160
x = 160 ÷ 10 = 16
Since we know what x is, we can find all the angles in the figure.
Angle at H = 3 x 16 - 2 = 46°
Angle at I = 4 x 16 - 9 = 55°
Angle at J = 3 x 16 - 9 = 39°
