Suppose you have 6 pairs of socks in your sock drawer. It is still dark out in the morning when you get dressed, so you just pull socks out of the drawer at random, one at a time, until you have removed two matching socks. What is the probability that you pull out exactly 5 socks from your sock drawer in the morning?
Answers
Answer:
8/33 = 0.242
Step-by-step explanation:
There are 12 socks to begin with and one is taken;
The second is picked from the remaining 11 and will either match the first or not;
The probability of matching is 1/11 and 10/11 for not matching;
If the sock matches, no further sock is taken;
If the socks don't match, a 3rd sock is taken;
The 3rd sock is taken from the remaining 10, 1 of which will match with the first sock and another which will match the second;
Therefore, the probability of taking a matching sock on the third pick will by 2/10 or 1/5 and the probability it will not match either of the first two is 8/10 or 4/5;
Once again, if the sock matches either of those previously taken, no further sock is taken;
If the socks don't match, a 4th sock is taken;
Now, there are 9 socks remaining in the drawer;
Picking is repeated;
The process is logical;
The attached picture shows a tree diagram representing this information in an easily digestible way and makes it easy to work out the desired probability;
With tree, diagrams, you just multiply across until you get to your desired outcome;
In this case, we are finding the probability of picking 5 socks exactly;
Each process splitting represents the picking of a sock;
The probability will be:
10/11 × 8/10 × 6/9 × 4/8 = 8/33 = 0.242...
Related Questions
Answer please :) (15 points )
Answers
Answer:
its b
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
yh its b what else am i ment to say
Can someone please help me with this problem?
Answers
Answer:
[tex]sin(\theta)=\frac{40}{41} \\cos(\theta)=\frac{9}{41} \\tan(\theta)=\frac{40}{9}\\csc(\theta)=\frac{41}{40} \\sec(\theta)=\frac{41}{9} \\cot(\theta)=\frac{9}{40}[/tex]
Step-by-step explanation:
Notice we can use the Pythagorean theorem to find the measure of the unknown side via:
[tex]123^2=120^2+x^2\\x^2=729\\x=\sqrt{729} \\x=27[/tex]
and now, knowing all the sides, we can find all te trigonometric functions of the angle [tex]\theta[/tex]:
[tex]sin(\theta)=\frac{opp}{hyp} = \frac{120}{123} =\frac{40}{41} \\cos(\theta)=\frac{adj}{hyp} = \frac{27}{123} =\frac{9}{41} \\tan(\theta)=\frac{opp}{adj} = \frac{120}{27} =\frac{40}{9}\\csc(\theta)=\frac{41}{40} \\sec(\theta)=\frac{41}{9} \\cot(\theta)=\frac{9}{40}[/tex]
Please help!!! Thanks
Math problem
Answers
Answer:
67
Step-by-step explanation:
(5-2)180
=540
540-131-105-153-84
=67
Which is the equation of a line with the same y-intercept as the line with the equation 5x -4y =12!
Answers
Answer: the answer is d
Step-by-step explanation:
x-1
8
The slope of QR is *4 and the slope of ST is
3
If QR I ST, determine and state the value of x.
Answers
Answer:
E. -1/2
Step-by-step explanation:
When two lines are said to be perpendicular to each other, the slope of one is the negative reciprocal of the other.
Therefore, given that [tex] \frac{x - 1}{4} [/tex] is the slope of [tex] \overline{QR} [/tex], and ⁸/3 is the slope of [tex] \overline{ST} [/tex], if both lines are perpendicular, it means that the slope of [tex] \overline{ST} [/tex] would be the negative reciprocal of the slope of [tex] \overline{QR} [/tex].
Therefore:
[tex] \frac{x - 1}{4} = -\frac{3}{8} [/tex]
Cross multiply
[tex] (x - 1)(8) = (-3)(4) [/tex]
[tex] 8x - 8 = -12 [/tex]
Add 8 to both sides
[tex] 8x = -12 + 8 [/tex]
[tex] 8x = -4 [/tex]
Divide both sides by 8
[tex] x = \frac{-4}{8} [/tex]
[tex] x = \frac{-1}{2} [/tex]
Graph the following equation:
y=3x-4
Answers
Answer:
3*x-4
Step-by-step explanation:
Which CANNOT be used to prove that lines in and n are parallel?
A. 2 = 4
B. 4 is supplementary to 7.
C. 24 is supplementary to 5.
D. 1 = 5
Answers
Jimmy's school is selling tickets to the
annual talent show. On the first day of ticket sales the school sold 4 adult tickets
and 6 child tickets for a total of $80. The school took in $84 on the second day by
selling 4 adult tickets and 7 child tickets.Find the price of an adult ticket and the
price of a child ticket.
3
Answers
Explanation:
4a+6c=80
If they made $4 more dollars on the second day than the first by selling one extra child ticket then we know a child’s ticket is $4 per ticket.
4a+6*4=80
4a+24=80
4a=56
14=a
So each adult ticket costs $14.
You can check by filling in $14 and $4 for each equation.
4*14+6*4=80
4*14+7*4=84
A=14
B=7
C=3.5
D=7 square root of 2
Answers
Answer:
7
Step-by-step explanation:
Which congruence theorem can be used to prove ABDA - ABDC?
Answers
Answer:
SAS(SIDE ANGLE SIDE)
Step-by-step explanation
AB side in ABDA = AB side in ABDC
ABD angle in ABDA= ABD angle in ABDC
BD side in ABDA = BD side in ABDC
The congruence theorem can be used to prove ABDA - ABDC is SAS.
What is Congruence of Triangles?Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with each other. The symbol of congruence is’ ≅’.
According to the questions,
AB side in ABDA = AB side in ABDC
ABD angle in ABDA= ABD angle in ABDC
BD side in ABDA = BD side in ABD
Thus SAS is applied.
Hence SAS(Side Angle Side) is the required answer.
To learn more on congruence click :
https://brainly.com/question/20418145
#SPJ2
are the triangles congruent ?
Answers
Need some answers preferably in the next 24 hours 4 ^-2 x 4^-4
Answers
Answer: 1/4096
Step-by-step explanation:
4^-2 = 1/16
4^-4 = 1/256
multiplying them gives 1/4096
A cylinder has a base diameter of 18 feet and height of 15 feet . What is it’s volume in a cubic feet to the nearest tenths place ?
Answers
it's 3817.04 but you round to the nearest tenth
radius is half of diameter so 18/2 = 9. now plug that in :)
v = pi * 9^2 * 15
v = pi * (81)(15)
v = 1215(pi)
v = 3817.0
hope this helped :)
999x85 i need help getting the answers for this question
Answers
the answer for this is 84915
what is aas in Geometry?
Answers
Answer:
angle angle side
Step-by-step explanation:
god bless you hun
HELP DUE IN 20 minutes
Answers
C
B
A
Suraj has $15.00 to spend. He decided to buy a shirt for $9.95 and spend the rest on candy bars. If each candy bar costs $1.50, how many candy bars can Suraj buy?
Answers
Answer:3
Step-by-step explanation: i think
Answer:
He can by 3 candy bars.
Step-by-step explanation:
15.00-9.95=5.05
5.05-1.50=3.55
3.55-1.50=2.05
2.05-1.50=0.55 cents
Plz I need help with this ASAP
Answers
Answer:
$134 is the ans
Step-by-step explanation:
Is 9 yards bigger then 324 inches
Answers
Answer:
No
Step-by-step explanation:
Because they are equal
Answer: no , it’s equal
Step-by-step explanation:
9 yards is equal to 324 inches
Cuz there are 36 inches in 1 yard
So 36(9) = 324 inches!!
x^3-x^2-4x
factor completely
Answers
Answer:
Cannot be factored further
Step-by-step explanation:
[tex]x^{3} -x^{2}-4x=x(x^{2}-x-4 ) \\[/tex]
Answer:
x(x^2-x-4)
Step-by-step explanation:
Daisy made mac and cheese for her nephew and used 1.5 cups of macaroni and 2 cups cheese. Later that week she made a larger batch. If she used the same recipe and used 4 cups of cheese. How many cups of macaroni did she use?
Answers
Answer:
42
Step-by-step explanation:
A model sized cube has a side length of 15cm. The full sized version has a side length of 127.5cm. What is the scale?
Answers
Answer:
8.5
Step-by-step explanation:
I did give a detailed explanation here but someone deleted it :(
What is the quotient of 7-1/7-2?
Answers
Answer:
7
Step-by-step explanation:
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
the last one :)
Step-by-step explanation:
Can someone help me find the GCF of 35 and 63 please show your work thank you
Answers
The first step to find the gcf of 35 and 63 is to list the factors of each number. The factors of 35 are 1, 5, 7 and 35. The factors of 63 are 1, 3, 7, 9, 21 and 63. So, the Greatest Common Factor for these numbers is 7 because it divides all them without a remainder.
To sum up, the gcf of 35 and 63 is 7. In common notation: gcf (35,63) = 7.
~ I hope this helped, and I would appreciate Brainliest. ♡ ~ ( I request this to all the lengthy answers I give ! )
can someone please help!!!
Answers
Answer:
WARWRAESTRDYTFJYwarehstrdjhtfj
Step-by-step explanation:
Solve for x.
................
Answers
8. Which congruence postulate or theorem must you use before proving
Answers
Answer:
last one ?
Step-by-step explanation:
you can prove it by base angle threom because this a isscloes triangle
In a factory a test run over 400 computer chips resulted in 8 defective one how many possible out comes are there
Answers
Answer:
392
Step-by-step explanation:
Mrs. Farquharson drove through a total of 36 intersections on her way home from work last week. At 4 of every 16 intersections, Mrs. Farquharson had to stop for a red light before she could drive through. At how many intersections did Mrs. Farquharson have to stop for a red light?