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marusya05 [52]
3 years ago
7

PLEASE HELP Which of the following are true if event A and B are independent

Mathematics
1 answer:
makkiz [27]3 years ago
3 0

Answer:

a) P(B/A) = P(B)

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that A and B are independent events

P(A∩B) =P(A) P(B)

we will use the conditional probability

              P(A/B) = \frac{P(AnB)}{P(B)}

                     or

            P(B/A) = \frac{P(AnB)}{P(A)}<u></u>

<u> Step(ii):-</u>

Given that A and B are independent events

P(A∩B) =P(A) P(B)

 P(B/A) = \frac{P(AnB)}{P(A)}<u></u>

P(B/A) = \frac{P(A)P(B)}{P(A)} = P(B)

P(B/A) = P(B)

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The error is in the middle: 2(-12) = -24 not 24.
sergiy2304 [10]

Answer:

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Step-by-step explanation:

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3 years ago
David was trying to sleep one night but there was too much noise around him? His clock ticked every 5 seconds , a tap was drippi
Monica [59]

Answer:

A) 420 seconds = 7 minutes

B) 8 times

Step-by-step explanation:

A) After how many second would all three things happen together again?

Solution:

His clock ticked every 5 seconds , a tap was dripping every 7 seconds and     his pet dog snored every 12 seconds. It all happens simultaneously = 5*7*12=420 seconds

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3 years ago
If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
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Answer:

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Step-by-step explanation:

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