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valentina_108 [34]
4 years ago
10

Hey can you please help me posted picture of question

Mathematics
1 answer:
storchak [24]4 years ago
3 0
We are to find P(A' ∩ B).

A' indicates Compliment of A.

Since A and B are independent events, we can use the formula:

P(A' ∩ B) = P(A') x P(B)

P(A') = 1 - P(A) = 1 - 0.4 = 0.6

So,

P(A' ∩ B) = 0.6 x 0.9 = 0.54

So, option A gives the correct answer
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N-4-9<br> I really need help with this
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Answer:

n - 13

Step-by-step explanation:

n-4-9

We can combine like terms.

n - (4+9)

n - 13

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Convert the following angle to decimal degree. a=137DEGREES 38' 44"
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Step-by-step explanation:


3 0
4 years ago
QUESTION 1
Kitty [74]

It's difficult to make out what the force and displacement vectors are supposed to be, so I'll generalize.

Let <em>θ</em> be the angle between the force vector <em>F</em> and the displacement vector <em>r</em>. The work <em>W</em> done by <em>F</em> in the direction of <em>r</em> is

<em>W</em> = <em>F</em> • <em>r</em> cos(<em>θ</em>)

The cosine of the angle between the vectors can be obtained from the dot product identity,

<em>a</em> • <em>b</em> = ||<em>a</em>|| ||<em>b</em>|| cos(<em>θ</em>)   ==>   cos(<em>θ</em>) = (<em>a</em> • <em>b</em>) / (||<em>a</em>|| ||<em>b</em>||)

so that

<em>W</em> = (<em>F</em> • <em>r</em>)² / (||<em>F</em>|| ||<em>r</em>||)

For instance, if <em>F</em> = 3<em>i</em> + <em>j</em> + <em>k</em> and <em>r</em> = 7<em>i</em> - 7<em>j</em> - <em>k</em> (which is my closest guess to the given vectors' components), then the work done by <em>F</em> along <em>r</em> is

<em>W</em> = ((3<em>i</em> + <em>j</em> + <em>k</em>) • (7<em>i</em> - 7<em>j</em> - <em>k</em>))² / (√(3² + 1² + 1²) √(7² + (-7)² + (-1)²))

==>   <em>W</em> ≈ 5.12 J

(assuming <em>F</em> and <em>r</em> are measured in Newtons (N) and meters (m), respectively).

3 0
3 years ago
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