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sukhopar [10]
3 years ago
14

A box contains only black and white chips. There are 8 black chips and 6 white chips. How many white chips must be removed so th

at the possibility of randomly picking a black chip becomes 2/3 ?
A) 1
B) 2
C) 3
D) 4
HELP ME PlZzzzzzz whoever answers this right gets the brainliest
Mathematics
1 answer:
3241004551 [841]3 years ago
5 0

There are 8 black chips and 6 white chips, 14 chips in total. In this situation the probability to pick a black chip is 8/14=4/7.

When one white chip was removed, then only 5 white chips left and the total number of chips became 13. In this situation the probability to pick a black chip is 8/14=4/7.

When second white chip was removed, then ther left 4 white chips and the total number of chips became 12. Now the probability to pick a black chip is 8/12=2/3 as needed.

Answer: Must be removed 2 white chips. Correct choice is B.


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6 0
3 years ago
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A tank has capacity 6 L and initially contains 11 mg of salt dissolved in 3 L of water. A solution containing 1 mg/L of salt ent
BlackZzzverrR [31]

Answer:

The answer is below

Step-by-step explanation:

a) The maximum capacity of he tank is 6 L and initially it contains 11 mg of salt dissolved in 3 L of water. Solution enters the tank at a rate of 3 L/hr, therefore in x hours, the amount of water that have entered the tank = 3x.

Solution also leaves the tank at a rate of 2L/hr, therefore in x hours, the amount of water that have left the tank = 2x

Hence the amount of water present in the tank at x hours is given as:

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3 + x = 6

x = 6 - 3

x = 3 hr

b)

\frac{dQ}{dx}=3-\frac{2Q}{3+x}\\  \\\frac{dQ}{dx}+\frac{2Q}{3+x}=3\\\\let\ u'=\frac{2u}{3+x}\\\\\frac{u'}{u}=\frac{2Q}{3+x}\\\\ln(u)=2ln(3+x)\\\\u=(3+x)^2\\\\(3+x)^2Q]'=3(3+x)^2\\\\(3+x)^2Q=(3+x)^3+c\\\\Q(0)=11\\\\(3+0)^2(11)=(3+0)^3+c\\\\x=72\\\\Q=x+3+\frac{72}{(x+3)^2}\\ \\Q(3)=3+3+\frac{72}{(3+3)^2}=8\ mg

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8 0
2 years ago
What is the solution to 3/4b=8
soldier1979 [14.2K]

Answer:

b=\frac{32}{3}

Step-by-step explanation:

\frac{3}{4}b=8

Multiply both sides by 4:

4\times \frac{3}{4}b=8\times4

3b=32

Divide both sides by 3:

\frac{3b}{3}=\frac{32}{3}

b=\frac{32}{3}

6 0
3 years ago
Could you explain why the answer 125 was supposed to be negative while my answer 81 was correct?
hichkok12 [17]

Answer:

Step-by-step explanation:

Realize what (-5)^3 means

(-5)(-5)(-5)

25(-5)

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meanwhile

(-9)^2 is

(-9)(-9)

81

Basically a negative times a negative is always positive, but when a negative number is cubed (or raised to any odd exponent for that matter) the product will be negative.

5 0
2 years ago
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