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Lubov Fominskaja [6]
3 years ago
13

The lights go out, your bedroom is pitch dark, yet you still need to find a pair of socks, in your drawer there is 25 white sock

s and 25 red socks how many socks do you need to pull out before you get a matching pair?
Mathematics
1 answer:
Lerok [7]3 years ago
8 0

Answer: At most 3

Step-by-step explanation:

If there are 25 white socks and 25 red socks, a matching pair would be picked in at most 3 times.

The first sock you pick would be either White or Red

The second sock you pick would be either white or red again which means that you now either have 2 whites, 2 reds or 1 white and 1 red.

The third sock you pick will either be white or red once more. At this point you will either have 3 whites, 3 reds, 2 whites and 1 red or 2 reds and 1 white.

You will therefore have at least a matching pair after 3 tries.

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A man travels 2 miles, turn left and travels 3 miles, turn left again and travel 6 miles. How far is he from the starting point?
Lelu [443]

Answer: 5 miles

Step-by-step explanation:

this creates a polygon which can be shortened to be a triangle with side lengths 3 and 4 and the hypotenuse unknown. to find the side length you use the formula a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

sqrt(25) = c

c = 5

Download pdf
4 0
3 years ago
For the system below identify the parameters as growth rates, carrying capacities, and measure of interactions between species.
babunello [35]

Answer:

  • 2 and 3 are the the growth rates parameter for x and y respectively
  • 16 and 20 are the carrying capacities for x and y respectively
  • 2 and 7 measures the benefit to x and y of the interaction of the two species.

The species compete each other.

Step-by-step explanation:

When we have a population model for two species as we have here, the differential equations looks like this:

\frac{dx}{dt}=a*x+b\frac{x^{2}}{N}+c*xy

\frac{dy}{dt}=d*x+e\frac{y^{2}}{M}+f*xy)

Here:

a and d are the the growth rates parameter for x and y respectively

N and M are the carrying capacities for x and y respectively

c and f measures the benefit to x and y of the interaction of the two species.

So in our case we have:

\frac{dx}{dt}=2*x+\frac{x^{2}}{16}+2*xy

\frac{dy}{dt}=3*x-\frac{x^{2}}{20}-7*xy

Therefore:

  • 2 and 3 are the the growth rates parameter for x and y respectively
  • 16 and 20 are the carrying capacities for x and y respectively
  • 2 and 7 measures the benefit to x and y of the interaction of the two species.

The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.

I hope it helps you!

3 0
3 years ago
A random sample of people is chosen to participate in a survey. For the survey results to be considered valid, which must be tru
meriva

Answer The sample must represent the target population.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
If f(x) = 2x² + 5 and g(x) = x² - 2, find
IgorLugansk [536]

Answer:

C. x² + 7

Step-by-step explanation:

If f(x) = 2x² + 5 and g(x) = x² - 2, then

(f - g)(x) = f(x) - g(x)

            = (2x² + 5) - (x² - 2)

            = 2x² + 5 - x² + 2

            = 2x² - x² + 5  + 2

            = x² + 7

           

4 0
2 years ago
920,026-535,722 what is the sum!??!! help!!!
kow [346]
920026
535722 -
-----------
<span>384304</span>
4 0
3 years ago
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