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FromTheMoon [43]

3 years ago

11

I need help on this for me is really hard

1 answer:

liq [111]3 years ago

3 0

Answer:

A.

Step-by-step explanation:

33.75 / 15 = 2.25 for one lunch

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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

Jannie has a budget of $240 to spend on jeans and shirts. She spends $95 on jeans. If the cost of each shirt is $22.50, how many

marysya [2.9K]

240-95=145
145÷22.50=6.44444
OR about 6 shirts

6 0

4 years ago

Which of the following is an arithmetic sequence?

Andrews [41]

Answer:

the third one is the correct answer

7 0

3 years ago

Suppose the half-life of a certain radioactive substance is 12 days. Find the time when there will be 20% of the initial substan

vazorg [7]

Answer: 2.4% I think

12 x 20 / 100 = 2.4%

7 0

3 years ago

The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche

Trava [24]

Answer:

11

Step-by-step explanation:

Area = LW

We know that the w = 2

We are told that the L (length) is three less than an unknown number so that mean L = (x - 3)

We are then told that the area = 22 square inches.

Area = LW

22 = (x - 3)2

Now solve for x

22 = (x - 3)2

Distribute the 2

22 = 2x - 6

22 + 6 = 2x

28 = 2x

28 / 2 = 2x / 2

14 = x

x = 14

Now take 14 and subtract 3

14 - 3 = 11

Unknown number = 11

Area = LW

L = 11

W = 2

Area = 22

11 * 2 = 22

7 0

3 years ago