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Anuta_ua [19.1K]
2 years ago
11

If P = -5, and Q = -15 find (P + Q) x (P - Q)​

Mathematics
1 answer:
o-na [289]2 years ago
5 0

Answer:

-200

Step-by-step explanation:

We are given that:

  • P= -5
  • Q= -15

Simply insert this values into their correspondents in the equation given.

(-5 + (-15)) * (-5 - (-15))

Subtracting two negatives is like adding a positive and a negative.

(-5 + (-15)) * (-5 + 15)

Solve inside the parenthesis.

(-20) * (10)

Multiply.

-200

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From the given density function we find the distribution function,

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(a)

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\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1

\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}

(b)

F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y

\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2

\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}

(c)

F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})

\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3

\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}

5 0
3 years ago
Which expression is equivalent to |a|≤5 ?
sladkih [1.3K]

Answer:

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Step-by-step explanation:

8 0
2 years ago
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Answer:

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Step-by-step explanation:

hope this helps

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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