It looks like he used the distributive property. He multiplied 7*2. Then. 7*6. Then he multiplied them together. That is not how you multiply numbers
Answer:
6 feets
Step-by-step explanation:
The triangle described in the question has been sketched in the picture attached below :
From the triangle, we could solve for X, which is the base of the triangle using trigonometry :
Sinθ = opposite / hypotenus
Sin 30° = x / 12
0.5 = x / 12
x = 12 * 0.5
x = 6 feets
Hence base, x = 6 feets
a)
because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.
b)
because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).
Answer:
This equation is false
Step-by-step explanation:
Well,
-11b + 7 = 4 - 11b + 7 = 40
combine like terms
-11b + 7 = -11b + 3 = 40
Communicative property
-3 to both sides
-11b + 4 = -11b = 40
-4 to both sides
-11b = -11b = 36
+11b to both sides
0 = 36
0 is not equal to 36 meaning that this equation is false.
<em>Thus,</em>
<em>the equation given is false.</em>
<em />
<em>Hope this helps :)</em>
Answer:

Step-by-step explanation:
Using the addition formulae for cosine
cos(x ± y) = cosxcosy ∓ sinxsiny
---------------------------------------------------------------
cos(120 + x) = cos120cosx - sin120sinx
= - cos60cosx - sin60sinx
= -
cosx -
sinx
squaring to obtain cos² (120 + x)
=
cos²x +
sinxcosx +
sin²x
--------------------------------------------------------------------
cos(120 - x) = cos120cosx + sin120sinx
= -cos60cosx + sin60sinx
= -
cosx +
sinx
squaring to obtain cos²(120 - x)
=
cos²x -
sinxcosx +
sin²x
--------------------------------------------------------------------------
Putting it all together
cos²x +
cos²x +
sinxcosx +
sin²x +
cos²x -
sinxcosx +
sin²x
= cos²x +
cos²x +
sin²x
=
cos²x +
sin²x
=
(cos²x + sin²x) = 