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vovikov84 [41]
3 years ago
14

Imagine that you have 5 blue socks and 5 brown socks in a drawer that are not paired up. How many socks must you take out from t

he drawer (without looking) to be sure of getting a pair of the same color?
Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0
To be sure of getting a pair of socks of the same color, you must place yourself in the worst position.

When you take out socks without lookong (radomly), the worst scenary is that the first time you take out a sock of a color and in the second fime you take out a sock of different color. Then, the next time (the third time) you necessarily take a sock that match one of the two taken out previously, and so have a pair.

So, the answer is that you must take out three socks to be sure that you have a pair.
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Help needed......
VladimirAG [237]

Answer:

I hope this helps-How to define a logarithmic unction-

Step-by-step explanation:

Therefore, the (multiple-valued) logarithmic function of a nonzero complex variable z=reiΘ is defined by the formula logz=lnr+i(Θ+2nπ)(n∈Z).

Some basic properties of the function logz are the following:

log(z1z2)=logz1+logz2.

log(z1z2)=logz1−logz2.

There may hold Log(z1z2)≠Logz1+Logz2.

5 0
2 years ago
The time needed to paint a fence varies directly with the length of the fence and inversely with the number of painters. If it t
astraxan [27]

Answer:

It will take 9 hours with 4 painters  to paint 720 feet of  fence.

Step-by-step explanation:

Given that,

The time needed to paint a fence varies directly with the length of the fence

t\propto  l .......(1)

and inversely with the number of painters

t\propto \frac1P.....(2)

Combination of (1) and (2) is

t\propto \frac lP

where t represents time, l represents length of fence, P represents number of painters.

Again we can write the above equation as

\frac{t_1}{t_2}=\frac{\frac{l_1}{l_2}}{\frac{P_1}{P_2}}

\frac{t_1}{t_2}=\frac{l_1P_2}{l_2P_1}

Given that,

It takes 7 hours with 2 painters  to paint 280 feet of fence .

We need to find time to paint 720 feet of fence with 4 painters.

t_1=7  hours, l_1=280 feet, P_1=2,

t_2=? , l_2 = 720 feet, P_2=4

\therefore \frac{7}{t_2}=\frac{280\times 4}{720\times 2}

\Rightarrow \frac{t_2}{7}=\frac{720\times 2}{280\times 4}

\Rightarrow {t_2}}=\frac{720\times 2\times 7}{280\times 4}

\Rightarrow t_2=9

It will take 9 hours to paint 720 feet of  fence with 4 painters.

5 0
3 years ago
This shape is made of three identical semicircles.
Yuliya22 [10]

Answer:

48cm

Step-by-step explanation:

The perimeter of first shape is 36cm. There are 3 semi circle (curves).

Therefore,

3 curves of semicircle (arc length) = 36

1 curve of semicircle (arc length) = 36/3

= 12cm

In picture 2,

4 semicircles (They've mentioned that they used the same semicircle for the 2nd shape also)

So,

4×12 = 48cm

8 0
2 years ago
A Book has 1257 digits in it page numbers.<br> How many pages does the book have?
FrozenT [24]
Each page from 10 to 99, inclusive (so total of 90 pages) needs two digits (for example page 12 needs two digits: 1 and 2); Each page from 100 to 200, inclusive (so total of 101 pages) needs three digits (for example page 123 needs three digits: 1, 2 and 3)
6 0
2 years ago
Help please! I'll give a brainliest for the best and the correct answer loves!
Fofino [41]
15x10=150
Subtract 5x5=25 small square cut out
150 -25= 125 sq ft
D
3 0
3 years ago
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