MATHEMATICS COLLEGE

A jar contained 8 balls: 6 red, 1 green and 1 blue. We randomly take a ball out of the jar. Once a ball is selected we do not put it back. We keep selecting balls until for the first time we get a blue one. We count the number of times we had to draw a ball, (including the last drawing) until we actually got the blue ball. How many elements are in the sample space for this experiment

Answers

Answer 1

Answer:

Step-by-step explanation:

Given that :

Number of balls = 8

Red (R) = 6 ; 1 green(G) ; 1 BLUE (B)

Possibilities unt a blue ball is picked :

B, RB, GB, RRB, RGB, GRB, G

Draw 1 = B = 1

Draw 2 = B = 2C1 = 2

Draw 3 = B = 3C2 = 3

Draw 4 = B = 3C3 + 3C1 = 1 + 3 = 4

Draw 5 = B = 4C4 + 4C1 = 1 + 4 = 5

Draw 6 = B = 5C5 + 5C1 = 1 + 5 = 6

Draw 7 = B = 6C6 + 6C1 = 1 + 6 = 7

Draw 8 = B = 6C6 + 6C1 = 1 + 6 = 7

Taking the sum:

(1 + 2 + 3 + 4 + 5 + 6 + 7 + 7) = 35

There are 35 elements in the sample space

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Bruuuuuuuuu + bruh - brooo x π to the pawer of 420 = what please answer this seriously with evidence and reasoning

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Answers

Answer:

= bruv

Step-by-step explanation:

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Simplify √6+3√6
18√2

4√36

18

4√6

Answers

Answer:

Step-by-step explanation:

√6 + 3√6 = 4√6

Hope this helps

plz mark as brainliest!!!!!!

Which expression is the result of factoring the expression below by taking out its greatest common factor? 8x^2-24=\,?8x 2 −24=?8, x, squared, minus, 24, equals, question mark Choose 1 answer: Choose 1 answer:

Answers

8x² - 24 can be written in factorized form as 8 (x² - 3).

Step-by-step explanation:

Given expression is

8x² - 24

It can be factorized by taking the common factors as,

Since 8 is the common factor for both the terms and the expression can be written as,

8x² - 24

It can be expanded as,

= 8x² - 8×3

Now both the terms has 8, so it can be taken out and the expression can be written as,

= 8 (x² - 3)

So it can be written in factorized form as 8 (x² - 3).

Answer:

carmen winsted

Step-by-step explanation:

Find the sum of the first six terms of a geometric progression .

Answers

Question:

Find the sum of the first six terms of a geometric progression.

1,3,9,....

Answer:

$S_6 = 364$

Step-by-step explanation:

For a geometric progression, the sum of n terms is:

$S_n = (a(r^n - 1))/(r - 1)$

In the given sequence:

$a = 1$

$r = 3/1 =3$

$n = 6$

So:

$S_n = (a(r^n - 1))/(r - 1)$

$S_6 = (1 * (3^6 - 1))/(3 - 1)$

$S_6 = (3^6 - 1)/(2)$

$S_6 = (728)/(2)$

$S_6 = 364$

A television set is 36 inches wide and has a diagonal length of 42 inches. To the nearest inch, how tall is the set?

Answers

The height of the television set would be 21.6 inches to the nearest inch.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

$|AC|^2 = |AB|^2 + |BC|^2$

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

We have been given that the television set is 36 inches wide and has a diagonal length of 42 inches.

Let b represent the height of the television set.

We will use the Pythagorean theorem;

36² + b² = 42²

1296 + b² = 1764

-1296. -1296

b² = 468

√ b² =√ 468

b = height

b = 21.6 inches

Therefore, the height of the television set would be 21.6 inches to the nearest inch.

Learn more about Pythagoras' theorem here:

brainly.com/question/12105522

#SPJ5

Pythagorean theorem.
36² + b² = 42²
1296 + b² = 1764
-1296. -1296
b² = 468
[square root] b² = [square root] 468
b= height =21.6 inches

Working together, two secretaries can stuff the envelopes for a political fund-raising letter in 4 hours. Working alone, it takes the slower worker 6 hours longer to do the job than the faster worker. How long does it take each to do the job alone

Answers

Answer: The faster one needs 6 hours, the slower one needs 12 hours.

Step-by-step explanation:

Let's define Sa and Sb as the times that each worker needs to stuff the envelopes for a political fundraising letter.

Sa is the faster one

Sb is the slower one.

Let's define 1 as a complete task.

Then:

when they both work together, they need 4 hours:

(1/Sa + 1/Sb)*4h = 1.

The slower one needs 6 more hours than the faster one:

Sb = (Sa + 6h).

We can replace this in the first equation and get:

(1/Sa + 1/(Sa + 6h))*4h = 1.

let's solve this for Sa.

1/Sa + 1/(Sa + 6h) = 1/4h.

(Sa + 6h) + Sa = Sa*(Sa + 6h)/4h.

2*Sa + 6h = Sa^2/4h + Sa*(6/4)

Then we have a quadratic equation:

(1/4h)*Sa^2 - (2/4)*Sa - 6h = 0h

(0.25*1/h)*Sa^2 - 0.5*Sa - 6h = 0h

The solutions come from the Bhaskara equation:

$Sa = (0.5 +- √((0.5)^2 - 4*0.25h*(-6)) )/(2*0.25* 1/h) = (0.5 +- 2.5)/(0.5) h$

Then we have two solutions:

Sa = ((0.5 + 2.5)/0.5 )h = 6h.

Sb = ( (0.5 - 2.5)/0.5) = -4h

The one that makes sense is the positive option (the negative one has no physical meaning in this situation)

Then the faster worker needs 6 hours to stuff all the envelopes.

And the slower one needs 6h + 6h = 12hours to stuff all the envelopes.

So when they work together, the combined rate is:

(1/6h + 1/12h) = (2/12h + 1/12h) = (3/12h) = (1/4h)

So working together they need 4 hours to stuff all the envelopes.

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