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...
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Step-by-step explanation:
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Step-by-step explanation:
I did give a detailed explanation here but someone deleted it :(
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Answers
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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?
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Answer:
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Step-by-step explanation:
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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]
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Answer:
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Step-by-step explanation:
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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].
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[tex] (x - 1)(8) = (-3)(4) [/tex]
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Add 8 to both sides
[tex] 8x = -12 + 8 [/tex]
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Divide both sides by 8
[tex] x = \frac{-4}{8} [/tex]
[tex] x = \frac{-1}{2} [/tex]
Solve for x.
................
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
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3
Answers
Explanation:
4a+6c=80
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Step-by-step explanation:
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Step-by-step explanation:
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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
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B=7
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Answer:
7
Step-by-step explanation:
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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
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So 36(9) = 324 inches!!
Which is the equation of a line with the same y-intercept as the line with the equation 5x -4y =12!
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Answer: the answer is d
Step-by-step explanation:
Graph the following equation:
y=3x-4
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Answer:
3*x-4
Step-by-step explanation:
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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
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Hence SAS(Side Angle Side) is the required answer.
To learn more on congruence click :
https://brainly.com/question/20418145
#SPJ2
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Answer:
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Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
yh its b what else am i ment to say
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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 ! )