3 years ago

your drawer contains 6 black socks and 8 white socks. what is the probability that both socks are black

1 answer:

8 0

$\displaystyle |\Omega|=\binom{14}{2}=\dfrac{14!}{2!12!}=\dfrac{13\cdot14}{2}=91\\ |A|=\binom{6}{2}=\dfrac{6!}{2!4!}=\dfrac{5\cdot6}{2}=15\\\\ P(A)=\dfrac{15}{91}\approx16\%$

You might be interested in

Select Yes or No to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the grap

maria [59]

Yes, yes, no I believe

7 0

3 years ago

What value of x is in the solution set of 3(x – 4) > 5x + 2?

bonufazy [111]

We have to simplify and get the value of x from this inequality given:

Given inequality,

$3(x - 4) > 5x + 2$

Now let's simplify by using distributive property,

$3x - 12 > 5x + 2$

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

$3x - 12 - 5x - 2 > 0$

$- 2x - 14 > 0$

Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be <u>reversed</u>.

$\dfrac{ - 2x - 14}{ - 2} > \dfrac{0}{ - 2}$

$x + 7 < 0$

Now subtracting -7 from both sides,

$x + 7 - 7 < 0 - 7$

$x < - 7$

Or, Interval of the equal $(- \infin, -7 ]$

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

3 0

2 years ago

If a function is derivable at a point it is also continous at that point explain why?

Artyom0805 [142]

For a function to have a derivative in a point has to be continuous at the point, that is, it has to be defined at that point, other wise the derivative would be meaningless.

5 0

3 years ago

Use the Order of Operations to evaluate this expression

Doss [256]

Unfortunately, I don’t knooow :(

5 0

3 years ago

What is the solution of the equation. find the value of y when x equals -10. 2x - 9y = -38

cestrela7 [59]

Answer:

y =2

Step-by-step explanation:

Substitute -10 for x:

2(-10)-9y = -38

-20-9y = -38

-9y = -18

9y = 18

y = 2

4 0

1 year ago