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3 years ago

Suppose A and B are dependent events. If P(A | B)=0.55 and P(B)=0.4, what is P(AnB)?

Mathematics

2 answers:

ozzi3 years ago

6 0

Answer: The value of P(A∩B) = 0.22.

Step-by-step explanation:

Since we have given that

P(A | B)=0.55

P(B)=0.4

and A and B are dependent events.

And we know the rule for "Conditional probability":

So,

$P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}\\\\0.55=\dfrac{P(A\mid B)}{0.4}\\\\0.55\times 0.4=P(A\cap B)\\\\0.22=P(A\cap B)$

Hence, the value of P(A∩B) = 0.22.

Lilit [14]3 years ago

5 0

For Apex it is 0.22

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John paid $222 for four hours of skiing and two hours boating. He paid $213 for two hours skiing and three hours boating. What i

Inga [223]

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

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$4x+2y=222$

"He paid $213 for two hours skiing and three hours boating":

$2x+3y=213$

Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y. Work shown below.

$2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51$

Hence, y = 51

Now, substituting this y value into the 1st equation and solving for x will give us the value of x.

$First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30$

Hence, skiing costs $30 per hour and boating costs $51 per hour.

4 0

3 years ago

Find the value of x.

padilas [110]

To find your missing angle:
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3 years ago

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Nana76 [90]

Answer:

it is D

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2 years ago

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liraira [26]

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Step-by-step explanation:

Given

$\sqrt[3]{3y+2}$ + 4 = 6 ( subtract 4 from both sides )

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3 years ago

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uranmaximum [27]

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