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xenn [34]
3 years ago
6

You have a drawer with five pairs of white socks, three pairs of black socks, and one pair of red socks. You choose one pair of

socks at random each morning, starting on Monday. You do not put the socks you choose back in the drawer. Find the probability of each event. 3. You select black socks on Monday and white socks on Tuesday.
Mathematics
1 answer:
Katena32 [7]3 years ago
7 0

Answer:

20.8%

Step-by-step explanation:

To find the final probability, two separate events must be done and the final propagation is the multiplication of these, like this:

First event:

Probability of black socks on Monday:

Total pair of socks: 1 + 3 + 5 = 9

Number of black socks on Monday: 3

Thus:

3/9 = 1/3

Second event:

Probability of white socks on Tuesday:

Total pair of socks: 8

Number of white socks on Tuesday: 5

Thus:

5/8

Final probability:

1/3 * 5/8 = 5/24

P = 0.208

So the probability would be 20.8%

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A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a peri
mihalych1998 [28]

Answer:

  5 months

Step-by-step explanation:

We assume that y represents production capacity, rather than <em>increase</em> in production capacity. Then we want to solve the 6th-degree equation ...

  x^6 -25x^4 +199x^2 -4975 = 0

This can be factored in groups as ...

  x^4(x^2 -25) + 199(x^2 -25) = 0

  (x^4 +199)(x^2 -25) = 0

This has 4 complex solutions and 2 real solutions.

  x^2 = 25

  x = ±5

The duration required for capacity to reach 4975 units is 5 months.

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3 years ago
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3 years ago
6. Decrease 120 by 40%​
Andrew [12]

Answer:Percent ≈ 66.6667

Step-by-step explanation:

To calculate the percent of any number, you multiply the value (n) by the percent (p) and then divide the product by 100 to get the answer, like this:

(n × p) / 100 = Answer

In our case, we know that the initial value (n) is 120 and that the answer (amount of decrease) is 80 to get the final value of 40. Therefore, we fill in what we know in the equation above to get the following equation:

(120 × p) / 100 = 80

Next, we solve the equation above for percent (p) by first multiplying each side by 100 and then dividing both sides by 120 to get percent (p):

(120 × p) / 100 = 80

((120 × p) / 100) × 100 = 80 × 100

120p = 8000

120p / 120 = 8000 / 120

p = 66.6666666666667

Percent ≈ 66.6667

That's all there is to it! The percentage decrease from 120 to 40 is 66.6667%. In other words, if you take 66.6667% of 120 and subtract it from 120, then the difference will be 40.

8 0
2 years ago
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Answer:

55/11 by reducing this you see how many times 11 goes into 55 ( 5 times )

Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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