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Naya [18.7K]
2 years ago
9

A bag contains 4 tan socks and 7 grey socks. emily reaches into the bag and randomly selects two socks without replacement. what

is the probability that emily will get different-colored socks?
Mathematics
1 answer:
Y_Kistochka [10]2 years ago
8 0
Tan socks = 4
Grey socks = 7
Total number of socks = 4+7 = 11 socks
Probability of picking a tan sock then grey sock:
P(T)*P(G) = (4/11)*(7/10) = 14/54

Probability of picking a Grey sock then Tan sock
P(G)*P(T) = (7/11)*(4/10) = 14/55

Probability of two different colored socks
P(T&G)+P(G&T) = (14/55)+(14/55) = 28/55
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Andrei [34K]
Plug -8 in for x: 4(-8) + 5 solve: -32 + 5 -27
4 0
2 years ago
There are some nickels dimes and quarters in a large piggy bank for every two nickels there are 3 dimes for every two dimes that
creativ13 [48]

We are given

piggy bank has nickels , dimes and quarters

Let's assume

number of nickels =n

every two nickels there are 3 dimes

so, number of dimes are

=\frac{3}{2}n

=1.5n

every two dimes that are 5 quarters there

so, number of quarters are

=\frac{5}{2}\times 1.5n

=3.75n

so, total number of coins = number of nickels + number of dimes +number of quarters

total number of coins =n+1.5n+3.75

there are 500 coins

so, we get

n+1.5n+3.75n=500

now, we can solve for n

6.25n=500

divide both sides by 6.25

so, we get

n=80

number of dimes is 1.5n

=1.5\times 80

=120

number of quarters  is 3.75n

=3.75\times 80

=300

so,

Number of nickels =80

Number of dimes =120

Number of quarters =300............Answer

6 0
2 years ago
Z=25/5 what is the next step in the equation solving sequence.
lbvjy [14]

Answer:

5

Step-by-step explanation:

Z = 25/5

in simplest form........

25/5 = 5/1

so the answer is 5.

3 0
2 years ago
a movie theater has 14 different movies showing. If you want to attend no more than 3 of the movies, how many different combinat
zvonat [6]
14C3 = 14! / 11!3! 

<span>= 14 x13 x12 / 3x2x1 </span>
<span>= 2184 / 6 </span>
<span>= 364 different combinations </span>

<span>The first movie can be any of 14 </span>
<span>As you have already seen one the second movie can be any of the 13 remaining </span>
<span>As you have already seen two the third movie can be any of the 12 remaining. </span>

<span>Therefore there are 14 x 13 x 12 = 2184 PERMUTATIONS of movies you can see. </span>
<span>However among those 2184 different permutations will be instances where you have watched the same three movies but just in a different order. </span>
<span>eg ET, The Piano, Harry Potter = ET Harry Potter The Piano = The Piano, ET, Harry Potter = The Piano Harry Potter ET = Harry Potter ET The Piano = Harry Potter The Piano ET. </span>
<span>For each set of three films there are 3! or 3x2x1 or SIX different ways they can be arranged in. </span>
<span>Therefore we need to DIVIDE the above 2184 permutations by 6 to get the number of COMBINATIONS of different films that can be watched. </span>
<span>2184 / 6 = 364</span>
5 0
2 years ago
6x+7y=4x+4y6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y Complete the missing value in the solution to the equation. ((l
tia_tia [17]

Answer:

<h3>The missing value in the solution to the equation is <u>6</u>.</h3><h3>So, the complete solution is (6, -4).</h3>

Step-by-step explanation:

Given:

6x+7y=4x+4y.

(  ,-4)

Now, to complete the missing value in the solution to the equation.

<em>As, the equation is:</em>

<em />6x+7y=4x+4y<em />

<em>And, the solution is:</em>

(x,y)=(\ \ ,-4)

Now, solving the equation by putting the value of y=-4 :

6x+7(-4)=4x+4(-4)\\\\6x+(-28)=4x+(-16)\\\\6x-28=4x-16\\\\

<em>Adding both sides by 28 we get:</em>

<em />6x=4x+12<em />

<em>Subtracting both sides by </em>4x<em> we get:</em>

<em />2x=12<em />

<em>Dividing both sides by 2 we get:</em>

x=6.

<u><em>Thus, the solution to the equation is (6, -4).</em></u>

Therefore, the missing value in the solution to the equation is <u>6</u>.

4 0
2 years ago
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