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Verdich [7]
3 years ago
7

Let v1 =(-6,4) and v2=(-3,6) compute the following what i sthe angle between v1 and v2

Mathematics
1 answer:
Agata [3.3K]3 years ago
8 0
\bf ~~~~~~~~~~~~\textit{angle between two vectors }
\\\\
cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\stackrel{\textit{magnitude product}}{||u||~||v||}} \implies 
\measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right)\\\\
-------------------------------

\bf \begin{cases}
v1=\ \textless \ -6,4\ \textgreater \ \\
v2=\ \textless \ -3,6\ \textgreater \ \\
------------\\
v1\cdot v2=(-6\cdot -3)+(4\cdot 6)\\
\qquad \qquad 42\\
||v1||=\sqrt{(-6)^2+4^2}\\
\qquad \sqrt{52}\\
||v2||=\sqrt{(-3)^2+6^2}\\
\qquad \sqrt{45}
\end{cases}\implies \measuredangle \theta =cos^{-1}\left( \cfrac{42}{\sqrt{52}\cdot \sqrt{45}} \right)
\\\\\\
\measuredangle \theta =cos^{-1}\left(  \cfrac{42}{\sqrt{2340}} \right)\implies \measuredangle \theta \approx 29.74488129694^o
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Please please answer this for me, its super urgent and important !!! please.
skad [1K]
Answer: Choice B
Events are not mutually exclusive
The probability of applicant meeting GPA requirement or they volunteer is 65%

===========================================================

Explanation: 

For two events to be "mutually exclusive", it means that they cannot happen at the same time. An example is pulling a black diamond card. In a deck of cards, diamonds are red. 

So the question is: "Is it possible to volunteer and meet the GPA requirements at the same time?" 
The answer is "Yes, because 250 applicants have done so"

This means that the two events "volunteer" and "meet GPA requirements" are not mutually exclusive. This boils things down between choice A or choice B

Now onto calculating the probability
Let,
A = applicant volunteers
B = applicant meets GPA requirements

P(A) = 600/2000 = 0.300
P(B) = 950/2000 = 0.475
P(A and B) = 250/2000 = 0.125

Using those values, we can say....
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.300 + 0.475 - 0.125
P(A or B) = 0.65
P(A or B) = 65% which is part of the answer

We got 65% so that points to choice B as the final answer

Note: another way to find P(A or B) is to note how 250 meet both requirements so 950-250 = 700 meet the GPA hurdle only, 600-250 = 350 volunteer only, so 700+350+250 = 1300 either meet one requirement or both out of 2000. So 1300/2000 = 0.65 = 65%
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3 years ago
BONUS:
Dmitriy789 [7]
I think that it’s 30 centimeters I’m don’t sure
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3 years ago
Which graph represents the function f(x)=-|x|-2 ?
Elden [556K]

Answer:

The graph of given function is shown below.

Step-by-step explanation:

The absolute parent function is g(x)=|x|. The graph of parent function is a V-shape d and vertex of the function is origin.

The given function is

f(x)=-|x|-2              .... (1)

The vertex from of an absolute function is

f(x)=a|x-h|+k          .... (2)

where, a is a constant and (h,k) is vertex of the function.

From (1) and (2) we get

a=-1,h=0,k=-2

The value of a is -1. The value of a is negative it means the graph of parent function reflect across x-axis.

The vertex of the function is (0,-2). It means the graph of parent function shifts 2 units down.

The graph of given function is shown below.

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