Suppose a box contains 3 defective light bulbs and 12 good bulbs. Two bulbs are chosen separately from the box without replacement. What is the probability that one of two bulbs drawn is defective and one is not?

Answers

Answer 1

Answer:

[tex]Probability = \frac{12}{35}[/tex]

Step-by-step explanation:

Given

Represent Defective Bulbs with D and non good bulbs with G

[tex]D = 3[/tex]

[tex]G = 12[/tex]

The probability that one is defective and the other is not can be represented with: (D and G) or (G and D)

Which means that the defective is selected first, then the good one or the good one is selected first, then the defective one.

This is then calculated as:

[tex]Probability = \frac{n(D}{Total} * \frac{n(G)}{Total - 1} + \frac{n(G}{Total} * \frac{n(D)}{Total - 1}[/tex]

We used Total - 1 on second selections because it is a probability without replacement

[tex]Probability = \frac{3}{15} * \frac{12}{15- 1} + \frac{12}{15} * \frac{3}{15- 1}[/tex]

[tex]Probability = \frac{3}{15} * \frac{12}{14} + \frac{12}{15} * \frac{3}{14}[/tex]

[tex]Probability = \frac{1}{5} * \frac{6}{7} + \frac{2}{5} * \frac{3}{7}[/tex]

[tex]Probability = \frac{6}{35} + \frac{6}{35}[/tex]

[tex]Probability = \frac{12}{35}[/tex]


Related Questions

PLEASE HELP ME!!!!!​

Answers

proportional because it is constantly adding .99¢

Answer:

Non Proportional

Step-by-step explanation:

.99(2) = 1.96  1.96(2) = 3.92

That does go, therefore it's non proportional

Hope that makes sense !

The senior class sells movie tickets to students and teachers. The student tickets cost $4 each and teacher tickets cost $8 each. If they earned only $44 and one (1) teacher ticket was sold, how much money was made from the teacher ticket? * A. $8 B. $10 C. $12 D. $16

Answers

Answer:

A:8

Step-by-step explanation:

Because it says how much money was earned from a teacher. And only 1 teacher bought an $8 ticket.

I’ll give brainliest answer so i need to solve for y and convert these to slope intercept form.

Answers

Answer:

2. 9x+4y=16

    -9x        -9x

4y=-9x+16

----  ----  ----

4      4      4

y= -9x

     --- +4

      4

4. 4x+3y=-9

  -4x         =4x

     3y=-4x-9

     ---    --- ---

     3       3  3

y= -4x

    ---- - 3

      3

6. 7x-3y=6

  -7x      -7x

       -3y=-7x+6

        ---  ----   ---

       -3    -3    -3

y= 7x

   --- -2

    3


Item 4
Simplify. 6 – 20

–26

–14

14


26

Answers

The answer is -14 because if you remove 20 from positive 6 you will get -14.

four and two fifths + two and two thirds=

pls help

Answers

Answer:

7 and 1/15

Step-by-step explanation:

4+2 then add two fifths with two thirds (convert them into a mixed number)

Write the mixed number as a sum of the whole number (6+1 1/15)

6+1 is 7

answer is 7 1/15

Kim ran a mile in PE class after resting 1 hour her rate was 60 beats per minute if her heart rate decreased 2/5 what was it immediately after she ran the mile

Answers

Answer:

Immediately after she ran the mile, her heart rate was 100 beats per minute.

Step-by-step explanation:

If Kim ran a mile in Physical Education class, and after one hour of rest her heart rate was 60 beats per minute, having dropped 2/5 of the pace it had immediately after finishing running, to know what was said heart rate it is necessary to perform the following calculation:

2/5 = 0.4

Thus, her heart rate dropped 40%. Since 100-40 is equal to 60, your 60 beats are 60% of the heart rate immediately after running. Therefore, the post-exercise heart rate is derived from the following calculation:

60 = 60

100 = X

((100 x 60) / 60) = X

(6,000 / 60) = X

100 = X

Therefore, her heart rate immediately after running was 100 beats per minute.

Jeremy listed five rational numbers. Then he drew a number line to display and compare them.



Plot the numbers on the number line by dragging each one to the correct location.

6/3, -3/4, 1.5, 0.25, -5/4

Answers

Answer:

Step-by-step explanation:

A rational number is a number that can be written in the form [tex]\frac{a}{b}[/tex] where b ≠ 0.

In order to properly arrange the numbers on the number line, we need to arrange it in an ascending order.

6/3 = 2

-3/4 = -0.75

1.5 = 1.5

0.25 = 0.25

-5.4 = -1.25

The numbers written in an ascending order will be,

-1.25 = -5/4

-0.75 = -3/4

0.25

1.5

2 = 6/3

Therefore writing this on the number line, we will have it in this order:

-1.25, -0.75, 0.25, 1.5, 2

which expressions are equivalent to 1/81? check all that apply.

Answers

Answer: here are some examples :

8-1 9^

-2 9^

8/9^

4 9^

8/9^

10 9^

-6 x 9^

3 9^5 x 9^-7

Step-by-step explanation: pls mark branliest

Help please !!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Been a while since i’ve done this but I’ pretty sure since A starts on 2 and goes back 7 (into the negatives for minus 7) it would be A.

Answer:

I hope this helps!

PLS HELPPPP you will get 10 points
What is StartFraction 7 Over 9 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 9 boxes containing one-ninth. Under the 9 boxes are 3 boxes containing one-third. 2 2 and StartFraction 1 Over 9 EndFraction 2 and one-third 3

Answers

Answer: 2 1/9

Step-by-step explanation: There are 2 1/9‘s left when you see how many can fit into the last 1/3 box. But if the answer is not 2 1/9 than the answer is 2.

Jill can make a key chain in 1 minute(s) 48 seconds. At this rate, which is closest to the amount of time she will need to make 5 key chains?
2 minutes?
1 minutes?
10 minutes?
or 5 minutes?

Answers

Answer:

10 minutes

Step-by-step explanation:

A B C D please answer

Answers

Your answer is C because that shows the description of what they're asking.

2 a) If an ice cream truck is selling popsicles that are 3 for $4.50 how much does each popsicle cost? 2.b)Using your answer from 2a how much would 5 popsicles cost?

Answers

Answer:

$1.50 per popsicle and $7.50 for 5 popsicles

Step-by-step explanation:

$4.50 divided by the mumber of posicles so 3 which is 1.5 them multiply by 5 to get the price of 5 popsicles.

Ms. Brown buys 4 Lego sets for $22. What is the cost o each Lego set? Money has two numbers behind the decimal​

Answers

Answer:

$5.5

Step-by-step explanation:

you have divide 22 by 4 after that you get 5.5

Consider the equation, where p is a real number coefficient.
-1/3 (px - 2) = 9

What is the value of x in the equation?

Answers

This should help here you go

What is the exact value of Tan(pi/12)

Answers

We have

0 < π/12 < π/2

and

tan(π/12) = sin(π/12) / cos(π/12)

Both sin(x) and cos(x) are positive for 0 < x < π/2, so we expect tan(π/12) to also be positive.

Recall the double-angle identities for cosine,

cos²(x) = (1 + cos(2x)) / 2

as well as the Pythagorean identity,

tan²(x) = sec²(x) - 1

and by definition,

sec(x) = 1 / cos(x)

Putting everything together, we have

tan(x) = √(1 / cos²(x) - 1)

tan(x) = √(2 / (1 + cos(2x)) - 1)

Let x = π/12. Then 2x = π/6, and cos(π/6) = √3 / 2, so that

tan(π/12) = √(2 / (1 + cos(π/6)) - 1)

tan(π/12) = √(2 / (1 + √3 / 2) - 1)

tan(π/12) = √(4 / (2 + √3) - 1)

tan(π/12) = √(4 / (2 + √3) - (2 + √3) / (2 + √3))

tan(π/12) = √((2 - √3) / (2 + √3))

tan(π/12) = √(7 - 4 √3)

I will give you brainiest what is 3+3 go fast and what is 4+4

Answers

Answer:

3+3=6 , 4+4=8

Step-by-step explanation: Brainliest pls

DUE VERY SOON PLEASE HELPPPPPPPPPPPPPPP

Answers

Answer:

Step-by-step explanation:

i think it is 12 for $9.99

C, by determining the ratio of each item and using the process of elimination you can identify that C 12:10 has the best discount.

Help please !!! Soqnsonsnwoamwoskwozkzkxksksmmsndp

Answers

Answer:

tgulriao e jkbal2 3n

Step-by-step explanation:

Write an equation of the line passing through point P(-8, 0) that is perpendicular to the line
3x - 5y = 6.

Answers

21 bgdxdddxcfffvvv23455

Rewrite 67.43 ÷1.1 to make the division a whole number.

Answers

Answer:

6743÷110 = 67.43÷1.1........... thanks

Question:Fibonacci
1. Here are the first 5 terms of a quadratic sequence.
1
3
7
13
21
Find an expression, in terms of n for the nth term of this quadratic sequence.

Answers

9514 1404 393

Answer:

  n² -n +1

Step-by-step explanation:

First differences of the terms of the sequence are ...

  3-1 = 2

  7-3 = 4

  13-7 = 6

  21-13 = 8

Second differences are ...

  4-2 = 2

  6-4 = 2

  8-6 = 2

In a quadratic sequence the coefficient of the squared term is half of the second difference value. Here, that means the squared term will be (2/2)n² = n².

__

We can find the other terms of the quadratic expression by considering the differences between n² and the actual sequence.

The sequence of n² terms is ...

  1, 4, 9, 16, 25

When we subtract these from the actual sequence, we get ...

  1-1 = 0

  3-4 = -1

  7-9 = -2

  13-16 = -3

  21-25 = -4

That is, the amount subtracted from n² is one less than the term number.

The expression for the n-th term is ...

  an = n² -n +1

-10(-2)
Please show work!!

Answers

Answer:

20

Step-by-step explanation:

a negative times anegative is a postive

-10× -2= +20

X+9=2x solve for X.

Answers

Answer:

X+9=2X

Step-by-step explanation:

the answer is X=9

What is the product of -2/7 and -3/7?

• -6/7
• -6/49
•6/49
•6/7

Theirs a picture.. Pls answer fast... (Edj) Anyways giving out 50 points to whoever answers it right!!

Answers

Answer:

The answer is 6/49, I hope this helps.

What is the measure of the missing angle?
?
A. 45
B. 35
C. 85
D. 60

Answers

The answer to the question is D 60

heeellllppppp meeeeeeee plzzzzzzzzzzzzz​

Answers

Answer:

angles 3, 1, 7, 5

Step-by-step explanation:

suplementary angles add up to 180 degrees so

<4 + <3=180

<4 + <1 =180

<4 + <7=180

<4 + <5= 180

What is the rectangular form of 6(cos(225)+ i sin(225))?

Answers

Answer: A is the answer

Answer: a

Step-by-step explanation:

edge

Which pair of triangles can be proven similar by the AA ~ Postulate?

Answers

Answer: c

Step-by-step explanation:

The pair of triangles that can be proven similar by the AA ~ Postulate is triangle AXB and QXR.

The correct option is (C).

What is Similarity of Triangles?

When the ratio between two triangles' sides is the same and both triangles' angles are equal, a triangle is said to have two equal sides.

Given:

In figure C,

In triangle AXB and QXR

<BAX = <QRX (given)

<AXB = QXR (Vertical opposite angle)

So, AA similarity Criteria triangle AXB and QXR is similar.

Hence, Figure C is following AA similarity.

Learn more about similarity of  triangles here:

https://brainly.com/question/14926756

#SPJ2

What’s is 20% of 75 kilograms

Answers

Answer:

Its 15

Step-by-step explanation:

20% of 75 is just 15 lol. So i guess 15 Kilograms :)

(brainliest if this is correct for you)

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