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Karo-lina-s [1.5K]
2 years ago
10

Please help! Will mark brainliest <3. (Click on the photo too see the question!)

Mathematics
1 answer:
WITCHER [35]2 years ago
3 0

Answer:

☐ \displaystyle \textcolor{blue}{A.}\:\angle{S}\:and\: \angle{J}

☑ \displaystyle \textcolor{blue}{B.}\:\angle{G}\:and\: \angle{M}

☐ \displaystyle \textcolor{blue}{C.}\:\angle{H}\:and\: \angle{P}

☑ \displaystyle \textcolor{blue}{D.}\:\angle{R}\:and\: \angle{U}

Explanation:

Accourding to the Vertical Angles Theorem, vertical angles are considered congruent. So, we need to make sure find all pairs of angles that <em>reflect</em><em> </em>each other like a mirror [NO LINEAR INTERFERENSES], and those would be the above checked checkboxes.

I am joyous to assist you at any time.

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mestny [16]
1. No
2. Yes
3. 2 out of 6
7 0
3 years ago
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A random variableX= {0, 1, 2, 3, ...} has cumulative distribution function.a) Calculate the probability that 3 ≤X≤ 5.b) Find the
olchik [2.2K]

Answer:

a) P ( 3 ≤X≤ 5 ) = 0.02619

b) E(X) = 1

Step-by-step explanation:

Given:

- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:

                    F(X) = P ( X =< x) = 1 - \frac{1}{(x+1)*(x+2)}

Find:

a.Calculate the probability that 3 ≤X≤ 5

b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that

Solution:

- The CDF gives the probability of (X < x) for any value of x. So to compute the P (  3 ≤X≤ 5 ) we will set the limits.

                   F(X) = P ( 3=

- The Expected Value can be determined by sum to infinity of CDF:

                   E(X) = Σ ( 1 - F(X) )

                   E(X) = \frac{1}{(x+1)*(x+2)} = \frac{1}{(x+1)} - \frac{1}{(x+2)} \\\\= \frac{1}{(1)} - \frac{1}{(2)}\\\\= \frac{1}{(2)} - \frac{1}{(3)} \\\\=  \frac{1}{(3)} - \frac{1}{(4)}\\\\= ............................................\\\\=  \frac{1}{(n)} - \frac{1}{(n+1)}\\\\=  \frac{1}{(n+1)} - \frac{1}{(n+ 2)}

                   E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]  

                   E(X) = 1

8 0
3 years ago
a triangle has a perimeter of 49 inches. the medium side is 7 more than the short side, and the longest side is 5 times the leng
slavikrds [6]
Short side length = x
Medium side = x + 7
Long side = 5x
Total 49, so
x + x + 7 + 5x = 49
If you combine like terms:
7x + 7 = 49
Subtract 7 from both sides
7x = 42
Divide both sides by 7
x = 6 inches
4 0
3 years ago
Read 2 more answers
Please help pre algebra 8th grade
otez555 [7]

Answer:

28 degrees

Step-by-step explanation:

152 is the exact same measure as angle 2.

To get to 180 you have to add 152 + angle 1

Angle one is the same as angle 3.

180 - 152 = 28

Hope this helps

5 0
3 years ago
Three forces of 300 N in the direction of N30E, 400N in the direction of N60E and
andreyandreev [35.5K]

Split up each force into horizontal and vertical components.

• 300 N at N30°E :

(300 N) (cos(30°) i + sin(30°) j)

• 400 N at N60°E :

(400 N) (cos(60°) i + sin(60°) j)

• 500 N at N80°E :

(500 N) (cos(80°) i + sin(80°) j)

The resultant force is the sum of these forces,

∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i

… … …  + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N

∑ F ≈ (546.632 i + 988.814 j) N

so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.

4 0
2 years ago
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