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Snowcat [4.5K]
2 years ago
15

Please help me I really need these to be answered. Whoever does it gets 100 points!

Mathematics
2 answers:
Anika [276]2 years ago
6 0

Answer:

1. C

2. B

3. B

4. A

5. B

Galina-37 [17]2 years ago
3 0

Answer:

1. C

2. B

3. B

4. A

5. B

Step-by-step explanation:

if u dont mind giving me brainliest im just tryna rank up.

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If s is an increasing function, and t is a decreasing function, find Cs(X),t(Y ) in terms of CX,Y .
Sedbober [7]

Answer:

C(X,Y)(a,b)=1−C(s(X),t(Y))(a,1−b).

Step-by-step explanation:

Let's introduce the cumulative distribution of (X,Y), X and Y :

F(X,Y)(x,y)=P(X≤x,Y≤y)

  • FX(x)=P(X≤x)
  • FY(y)=P(Y≤y).

Likewise for (s(X),t(Y)), s(X) and t(Y) :

F(s(X),t(Y))(u,v)=P(s(X)≤u

  • t(Y)≤v)
  • Fs(X)(u)=P(s(X)≤u)
  • Ft(Y)(v)=P(t(Y)≤v).

Now, First establish the relationship between F(X,Y) and F(s(X),t(Y)) :

F(X,Y)(x,y)=P(X≤x,Y≤y)=P(s(X)≤s(x),t(Y)≥t(y))

The last step is obtained by applying the functions s and t since s preserves order and t reverses it.

This can be further transformed into

F(X,Y)(x,y)=1−P(s(X)≤s(x),t(Y)≤t(y))=1−F(s(X),t(Y))(s(x),t(y))

Since our random variables are continuous, we assume that the difference between t(Y)≤t(y) and t(Y)<t(y)) is just a set of zero measure.

Now, to transform this into a statement about copulas, note that

C(X,Y)(a,b)=F(X,Y)(F−1X(a), F−1Y(b))

Thus, plugging x=F−1X(a) and y=F−1Y(b) into our previous formula,

we get

F(X,Y)(F−1X(a),F−1Y(b))=1−F(s(X),t(Y))(s(F−1X(a)),t(F−1Y(b)))

The left hand side is the copula C(X,Y), the right hand side still needs some work.

Note that

Fs(X)(s(F−1X(a)))=P(s(X)≤s(F−1X(a)))=P(X≤F−1X(a))=FX(F−1X(a))=a

and likewise

Ft(Y)(s(F−1Y(b)))=P(t(Y)≤t(F−1Y(b)))=P(Y≥F−1Y(b))=1−FY(F−1Y(b))=1−b

Combining all results we obtain for the relationship between the copulas

C(X,Y)(a,b)=1−C(s(X),t(Y))(a,1−b).

7 0
3 years ago
Plzzzzz cannn someone he’lppppp meeeeee
lubasha [3.4K]
Yes it is a function, it passes the straight line test
5 0
2 years ago
Convert 84 inches to yards
AnnyKZ [126]

Answer:

2.3 yard

Step-by-step explanation:

Divide the length (84) by 36 inches (one yard)

7 0
3 years ago
Read 2 more answers
Will Give Brainliest :) &lt;3
Effectus [21]

Answer:

<h3>Part A</h3>

As per the given information there are 4 different price intervals.

<u>Let x be the age and y be the admission price, then we have following equations;</u>

  • y = 10.50,     if   15 ≤ x ≤ 61
  • y = 8.50,      if    x ≥ 62
  • y = 6.50,      if   2 ≤ x ≤ 14
  • y = 0,           if   0 ≤ x ≤ 1

7 0
3 years ago
4. Rhombus QRST has diagonals intersecting at W. Point U is located on side QR and point V on diagonal RT
ad-work [718]

Answer:

Given:

In Rhombus QRST, diagonals QS and RT intersect at W and U∈QR and point V∈RT  such that UV⊥QR. (shown in below diagram)

To prove: QW•UR =WT•UV

Proof:

In a rhombus diagonals bisect perpendicularly,

Thus, in QRST

QW≅WS, WR ≅ WT and m∠QWR=m∠QWT=m∠RWS=m∠TWS=90°.

In triangles QWR and UVR,

m\angle QWR=m\angle VUR              (Right angles)

m\angle WRQ=m\angle VRU              (Common angles)

By AA similarity postulate,

\triangle QWR\sim \triangle VUR

The corresponding sides in similar triangles are in same proportion,

\implies \frac{QW}{VU}=\frac{WR}{UR}

QW\times UR=WR\times VU

QW\times UR=WT\times UV                 (∵ WR ≅ WT )

Hence, proved.

8 0
3 years ago
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