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Katarina [22]
3 years ago
10

Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left fo

ot and then pick another sock and put it on your right foot. You leave the house with a white sock on your left foot and a brown sock on your right foot. Find the probability of this occuring.
Mathematics
1 answer:
zmey [24]3 years ago
6 0

Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

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For a certain​ drug, the rate of reaction in appropriate units is given by Upper R prime (t )equalsStartFraction 2 Over t plus 1
Tems11 [23]

Answer:

a) 8.13

b) 4.10

Step-by-step explanation:

Given the rate of reaction R'(t) = 2/t+1 + 1/√t+1

In order to get the total reaction R(t) to the drugs at this times, we need to first integrate the given function to get R(t)

On integrating R'(t)

∫ (2/t+1 + 1/√t+1)dt

In integration, k∫f'(x)/f(x) dx = 1/k ln(fx)+C where k is any constant.

∫ (2/t+1 + 1/√t+1)dt

= ∫ (2/t+1)dt+ ∫ (1/√t+1)dt

= 2∫ 1/t+1 dt +∫1/+(t+1)^1/2 dt

= 2ln(t+1) + 2(t+1)^1/2 + C

= 2ln(t+1) + 2√(t+1) + C

a) For total reactions from t = 1 to t = 12

When t = 1

R(1) = 2ln2 + 2√2

≈ 4.21

When t = 12

R(12) = 2ln13 + 2√13

≈ 12.34

R(12) - R(1) ≈ 12.34-4.21

≈ 8.13

Total reactions to the drugs over the period from t = 1 to t= 12 is approx 8.13.

b) For total reactions from t = 12 to t = 24

When t = 12

R(12) = 2ln13 + 2√13

≈ 12.34

When t = 24

R(24) = 2ln25 + 2√25

≈ 16.44

R(12) - R(1) ≈ 16.44-12.34

≈ 4.10

Total reactions to the drugs over the period from t = 12 to t= 24 is approx 4.10

3 0
3 years ago
Simplify (8x^3-5x-1)-(7x^2+6x-10)
irakobra [83]

Answer:

8x^3-7x^2-11x+9

Step-by-step explanation:

(8x^3-5x-1)-(7x^2+6x-10)

remove unnesasary ( )

8x^3-5x-1 -(7x^2+6x-10)

the distribute

8x^3-5x-1 -7x^2-6x+10

combine like terms

8x^3-11x+9-7x^2

use the communative property to reorder the equation

8x^3-7x^2-11x+9

4 0
3 years ago
Solve for x please :))
grandymaker [24]

Answer:

25

Step-by-step explanation:

90 - 65 = 25

Therefore, x is 25

Thenks and mark me brainliest :))

7 0
3 years ago
This is for 100 points which is rather rare so please help me out
Lelechka [254]

Answer:

C) $281.25

Step-by-step explanation:

3/15 describes you having to pay the bill in 15 days with a 3% discount.

3% = 0.03

289.95 - (298.95 x 0.03)

289.95 - 8.6985

281.25

8 0
3 years ago
Under his cell phone plan, Xavier pays a flat cost of $44 per month and $3 per
wolverine [178]

Answer:

Answer:

4.8 gigabytes

Step-by-step explanation:

Let the number of gigabytes of data = x

Xavier pays a flat cost of $44 per month and $3 per gigabyte. He wants to keep his bill at $58.40 per month.

The above expression above is represented by the equation:

$44 + $3 × x = $58.40

44 + 3x = 58.40

Solving for x

Subtract 44 from both sides

44 - 44 + 3x = 58.40 - 44

3x = 14.4

x = 14.4/3

x = 4.8 gigabytes

Step-by-step explanation:

6 0
3 years ago
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