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Anna11 [10]
2 years ago
12

3. A drawer contains several loose socks, each sock is only blue or black. You have to grab

Mathematics
1 answer:
Vlada [557]2 years ago
5 0
<h3>Answer:  3 socks</h3>

Reason:

You could get lucky to pull out 2 blue socks or 2 black socks in a row. But you could also get unlucky to have 1 blue + 1 black, or the other way around.

That third sock selected will guarantee you picked at least 2 of the same color. This is simply because there aren't any other colors left to pick from.

For more information, check out the Pigeonhole Principle.

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A chemist wants to make 100 liters of a 44% acid solution. She has solutions that are 20% acid and 60% acid.
alexgriva [62]

the first solution is 20% acid, and say we'll be using "x" liters, so how many liters of just acid are in it?  well 20% of "x" or namely 0.2x.  Likewise for the 60% acid solution, if we had "y" liters of it, the amount of only acid in it is 0.6y.

\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ \textit{1st solution}&x&0.20&0.2x\\ \textit{2nd solution}&y&0.60&0.6y\\ \cline{2-4}&\\ mixture&100&0.44&44 \end{array}~\hfill \begin{cases} x+y=100\\\\ 0.2x+0.6y=44 \end{cases}

x+y=100\implies y=100-x~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.2x+0.6(100-x)=44} \\\\\\ 0.2x+60-0.6x=44\implies -0.4x+60=44\implies -0.4x=-16 \\\\\\ x=\cfrac{-16}{-0.4}\implies \boxed{x=40}~\hfill \boxed{\stackrel{100-40}{y=60}}

7 0
2 years ago
Ivan has cut 19 pieces of reinforcing bar​ (rebar) that are each 1.14 meters long. What is the total length of the rebar used fo
madreJ [45]

Answer:

The total length of rebar used is  21.66 meters.

Step-by-step explanation:

Given:

Ivan had cut a reinforcing bar in 19 pieces and length of each bar is 1.14 meters.

Number of pieces = 19

Length of each piece = 1.14

We need to find the total length of reinforcing bar.

To calculate the total length we will multiply number of pieces with length of each piece.

Hence,

Total length of rebar = Number of pieces × Length of each piece = 19\times1.14 = 21..66 m

Rounding to nearest hundred = 21.66 m

Hence the total length of reinforcing bar is 21.66 meters.

4 0
3 years ago
A null hypothesis is being tested. How does the confidence level affect the testing process?
xxTIMURxx [149]
<span>If you have a high confidence level, the chance of rejecting the null hypothesis is rare. If you have a low confidence level, the chance of of rejecting the null hypothesis is nonexistent. If you have a low confidence level, the chance of of rejecting the null hypothesis is rare. If you have a high confidence level, the chance of of rejecting the null hypothesis is high.</span>
5 0
3 years ago
100 if u get this right!
Dafna11 [192]
2 because it is the number being added to the zero intercept in the equation
5 0
3 years ago
Read 2 more answers
HELP ME PLEASE !!!!!!!!
german

Answer:

the answer is the top one and the last one. Hope it helped :)

4 0
3 years ago
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