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Ann [662]
2 years ago
11

X² + y² = 36 State the domain and range of the relation

Mathematics
2 answers:
olga nikolaevna [1]2 years ago
6 0

Answer:

X with the power of two is the domain while y with the power of 2 is the range

Step-by-step explanation:

meriva2 years ago
4 0

Answer:

Domain: from -6 to 6, inclusive

Range: from -6 to 6, inclusive

Step-by-step explanation:

It's a circle centred at origin with radius 6

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There are three power plants [X, Y, Z] that at any given time each one either generates electricity or idles. Event A is that pl
insens350 [35]

We're told that

P(A\cap B)=0.15

P(A\cup B)^C=0.06\implies P(A\cup B)=0.94

P(B\mid A)=P(B^C\mid A)=0.5

where the last fact is due to the law of total probability:

P(A)=P(A\cap B)+P(A\cap B^C)

\implies P(A)=P(B\mid A)P(A)+P(B^C\mid A)P(A)

\implies 1=P(B\mid A)+P(B^C\mid A)

so that B\mid A and B^C\mid A are complementary.

By definition of conditional probability, we have

P(B\mid A)=P(B^C\mid A)

\implies\dfrac{P(A\cap B)}{P(A)}=\dfrac{P(A\cap B^C)}{P(A)}

\implies P(A\cap B)=P(A\cap B^C)

We make use of the addition rule and complementary probabilities to rewrite this as

P(A\cap B)=P(A\cap B^C)

\implies P(A)+P(B)-P(A\cup B)=P(A)+P(B^C)-P(A\cup B^C)

\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)

\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]

\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]

\implies2P(B)=P(A\cup B)+P(A\cup B^C)^C

\implies2P(B)=P(A\cup B)+P(A^C\cap B)\quad(*)

By the law of total probability,

P(B)=P(A\cap B)+P(A^C\cap B)

\implies P(A^C\cap B)=P(B)-P(A\cap B)

and substituting this into (*) gives

2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]

\implies P(B)=P(A\cup B)-P(A\cap B)

\implies P(B)=0.94-0.15=\boxed{0.79}

8 0
3 years ago
Select all of the expressions that are
Gwar [14]

|6|  is equal to 6

|-6|  is equal to 6

-|6|  is NOT equal to 6

-|-6|  is NOT equal to 6

|0 - 6|  is equal to 6

|-2| · |3| is equal to 6

Hope this helps!  (❁´◡`❁)

5 0
3 years ago
Read 2 more answers
Which statement is true about the expression?
zysi [14]

Answer:

Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed. I don't know exactly how to interpret the rest of the question. If r is a positive rational number and p is some positive real number, then sqrt(r^2 p) / sqrt(p) is always rational, being equal r. Possibly your question refers to situtions in which sqrt(c) is not uniquely determined, as for c negative real number or complex non-real number. In those situations a discussion is necessary. Also, in general expressions the discussion is necesary, because the denominator must be different from 0, and so on.

Step-by-step explanation:

7 0
2 years ago
What is the equation, in point-slope form, of the line that is
svlad2 [7]

Answer:

Step-by-step explanation:

this does not make since please wright it agina so we can understand it better.

3 0
3 years ago
Help Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
qaws [65]

Answer:

4/8 = 1/2

Step-by-step explanation:

hope it thepled u

6 0
3 years ago
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