All categories

3 years ago

A closet contains 10 pairs of shoes. if 8 shoes are randomly selected, what is the probability that there will be

1 answer:

6 0

There are 10 pairs of shoes. 8 shoes are select.

P = (2/20) (2/19) (2/18) (2/17) (2/16) (2/15) (2/14) (2/13) 
P = 2^8 / (20P8) 

But, any 8 differents shoes can be chosen from 10 pairs. 
so there are 10C8 = 45 ways to do so 
P = 45 * 2^8 / (20C8) 

But, since order does not matter, there are 8! way you can select the 8 different shoes 

P = 8! * 45 * 2^8 / (20C8) 
P = 384/4199 or about 9.145%

You might be interested in

What is the real answer !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Troyanec [42]

Real answer for what??

3 0

2 years ago

What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?

Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

Given the equation:

$\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}$

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

$\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}$

- Using the Difference of squares formula ( $a^2-b^2=(a+b)(a-b)$ ) we can simplify the denominator of the right side of the equation:

$\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}$

- Multiply both sides of the equation by $(m+3)(3-m)$ and simplify:

$\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}$

- Multiply both sides by $m-3$ :

$(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)$

- Apply Distributive property and simplify:

$(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0$

- Divide both sides of the equation by -6:

$\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0$

- Factor the equation and solve for "m":

$(m-3)^2=0\\\\m=3$

In order to verify it, you must substitute $m=3$ into the equation and solve it:

$\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}$

NO SOLUTION

7 0

2 years ago

Which sets of ordered pairs represent a function? Select all that apply.

antoniya [11.8K]

Answer:

B, C, and E

Step-by-step explanation:

In order for a function to be a function, an ordered pair cannot be on the same x coordinate

7 0

1 year ago

Raoul saves $14.50 each month for 3 months. He puts his money in the bank and earns $0.33 interest . Hector puts \$3.60 e each w

Norma-Jean [14]

Answer:

$0.63

Step-by-step explanation:

Raoul saves $14.50 each month for 3 months. Total amount saved is 14.50 * 3 = $43.50

He earned an interest of $0.33.

The total amount of money he has is thus: 43.50 + 0.33 = $43.83

Hector puts $3.60 each week for 12 weeks. Total amount save by Hector is thus 3.60 * 12 = $43.2

Now we are asked to get how much money Raoul has. To get this, we simply subtract the amount of money Hector has from that of Raoul

That would be 43.83 - 43.2 = $0.63

4 0

3 years ago

0 < 3x-5 < 25 Give me the answers to this question

musickatia [10]

Answer:

5/3 < x < 10

Step-by-step explanation:

6 0

3 years ago