Ask question

Ask question

All categories

4 years ago

14

A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one

black ball is to be included in the draw?

1 answer:

Mandarinka [93]4 years ago

6 0

Answer: 96

Step-by-step explanation:

You might be interested in

Describe a situation in your life when you need to know how to find a starting time?

Sever21 [200]

When you cook, if you are in a race maybe if you need to star a project but have a small amount of time to complete it

7 0

4 years ago

<img src="https://tex.z-dn.net/?f=The%20%5C%3A%20%20value%20%20%5C%3A%20of%20%20%5C%3A%20%20%5Csqrt%7B6%20%2B%20%20%5Csqrt%7B6%2

saul85 [17]

$\large\underline{\sf{Solution-}}$

<u>Let us assume that:</u>

$\sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } }$

We can also write it as:

$\sf \longmapsto x = \sqrt{6 + x }$

Squaring both sides, we get:

$\sf \longmapsto {x}^{2} =6 + x$

$\sf \longmapsto {x}^{2} - x - 6 =0$

By splitting the middle term:

$\sf \longmapsto {x}^{2} - 3x + 2x - 6 =0$

$\sf \longmapsto x(x - 3) + 2(x - 3 ) =0$

$\sf \longmapsto (x+ 2)(x - 3 ) =0$

<u>Therefore:</u>

$\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}$

$\sf \longmapsto x = - 2,3$

<u>But x cannot be negative. </u>

$\sf \longmapsto x = 3$

Therefore, the value of the expression is 3.

$\large\underline{\sf{Verification-}}$

Given:

$\sf\longmapsto x=3$

We can also write it as:

$\sf\longmapsto x = \sqrt{9}$

$\sf\longmapsto x = \sqrt{6+3}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{9}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}$

This pattern will continue.

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}$

7 0

3 years ago

How many times per year is interest compound if it is compounded annually

TEA [102]

Answer:

1

Step-by-step explanation:

I dont know how to explain but thats what I think

4 0

3 years ago

I need help with the top one

BartSMP [9]

195 candies are not cherry flavored. Since 15% are cherry flavored then 85% would not be. 85% of 230 is 195.5, however, there are no halves in a candy so it would be 195 candies.

5 0

4 years ago

the following two triangles are similar. Find the missing side length represented by x. Please help i am almost done.

lbvjy [14]

Answer:

7 inches

Step-by-step explanation:

First, you make an imbalanced equation: 22.75/x=13/4. Then you cross multiply: 22.75 * 4= 91. Then divide 91/13 = 7.

5 0

3 years ago