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3 years ago

9

Form an equation and solve it to find the dimensions of the rectangle

1 answer:

yaroslaw [1]3 years ago

7 0

To find x, use the equation 2l+2w

In this case, your equation would look like

2(2x-2)+2(5x+4)= 48 cm

Hope this helps!

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The back of a dog house is composed of a square and a triangle . How much wood wood is needed for the back of the dog house to t

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Answer:

68

Step-by-step explanation:

I just know I was in class with my teacher

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2 years ago

Can someone help me fast plz

Murljashka [212]

Answer:

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Step-by-step explanation:

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3 years ago

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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

2 years ago

SOMEONE ANSWER ASAP ILL EVEN CASHAPP YOU A DOLLAR!!!

devlian [24]

Answer:

2/3

Step-by-step explanation:

-2 and 4 are 6 away

4 and 13 are 9 away

Thus it is 6/9 or 2/3

4 0

3 years ago

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A) -165 °<br> B) -125 °<br> C) 125 °<br> D) 165 °

seropon [69]

Answer:

it might be B, but dont trust me on this one because im not so sure.

Step-by-step explanation:

srry i just dont do this yet i havent rlly learned this but ik a bit abt it so yea. have a great night !

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3 years ago