9 × 2(3 + 5) – (10 × 12) = y
(3.24 Socks in a drawer). In your sock drawer you have 4 blue, 5 gray, and 3 black socks. Half asleep one morning you grab 2 socks at random and put them on. Find the probability you end up wearing
Answer:
a) Probability of ending up wearing 2 blue socks is 1/11.
b) Probability of ending up wearing no grey socks is 7/22.
c) Probability of ending up wearing at least 1 black sock is 5/11.
d) Probability of ending up wearing a green sock is 0.
e) Probability of ending up wearing matching socks is 19/66.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
In your sock drawer, you have 4 blue socks, 5 gray socks, and 3 black ones. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability you end up wearing: a) 2 blue socks. b) no gray socks. c) at least 1 black sock. d) a green sock. e) matching socks.
The explanation of the answer is now given as follows:
The following are given in the question:
n(B) = number of Blue socks = 4
n(G) = number of Gray socks = 5
n(K) = number of black socks = 3
Therefore, we have:
n(T) = Total number of socks = n(B) + n(G) + n(K) = 4 + 5 + 3 = 12
To calculate a probability, the following formula for calculating probability is used:
Probability = Number of favorable outcomes / Number of total possible outcomes ……. (1)
Since this is a without replacement probability, we can now proceed as follows:
a) 2 blue socks
P(B) = Probability of ending up wearing 2 blue socks = ?
Probability of first pick = n(B) / n(T) = 4 / 12 = 1 / 3
Since it is without replacement, we have:
Probability of second pick = (n(B) – 1) / (n(T) – 1) = (4 – 1) / (12 – 1) = 3 / 11
P(B) = Probability of first pick * Probability of second pick = (1 / 3) * (3 / 11) = 1 / 11
b) no gray socks.
Number of favorable outcomes = n(B) + n(K) = 4 + 3 = 7
P(No G) = Probability of ending up wearing no gray socks = ?
Probability of first pick = Number of favorable outcomes / n(T) = 7 / 12
Since it is without replacement, we have:
Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (7 – 1) / (12 – 1) = 6 / 11
P(No G) = Probability of first pick * Probability of second pick = (7 / 12) * (6 / 11) = 7 / 22
c) at least 1 black sock.
Probability of at least one black sock = 1 - P(No K)
Number of favorable outcomes = n(B) + n(G) = 4 + 5 = 9
Probability of first pick = Number of favorable outcomes / n(T) = 9 / 12 = 3 /4
Since it is without replacement, we have:
Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (9 – 1) / (12 – 1) = 8 / 11
P(No K) = Probability of first pick * Probability of second pick = (3 / 4) * (8 / 11) = 24 / 44 = 6 / 11
Probability of at least one black sock = 1 - (6 / 11) = 5 / 11
d) a green sock.
n(Green) = number of Green socks = 0
Since, n(Green) = 0, it therefore implies that the probability of ending up wearing a green sock is 0.
e) matching socks.
This can be calculated using the following 4 steps:
Step 1: Calculation of the probability of matching blue socks
P(matching blue socks) = P(B) = 1 / 11
Step 2: Calculation of the probability of matching gray socks
P(matching green socks) = Probability of matching gray socks = ?
Probability of first pick = n(G) / n(T) = 5 / 12
Since it is without replacement, we have:
Probability of second pick = (n(G) – 1) / (n(T) – 1) = (5 – 1) / (12 – 1) = 4 / 11
P(matching gray socks = Probability of first pick * Probability of second pick = (5 / 12) * (4 / 11) = 20 / 132 = 5 / 33
Step 3: Calculation of the probability of matching black socks
P(matching black socks) = Probability of matching green socks = ?
Probability of first pick = n(K) / n(T) = 3 / 12 = 1 / 4
Since it is without replacement, we have:
Probability of second pick = (n(K) – 1) / (n(T) – 1) = (3 – 1) / (12 – 1) = 2 / 11
P(matching black socks) = Probability of first pick * Probability of second pick = (1 / 4) * (2 / 11) = 2 / 44 = 1 / 22
Step 4: Calculation of the probability of ending up wearing matching socks
P(matching socks) = Probability of ending up wearing matching socks = ?
P(matching socks) = P(matching blue socks) + P(matching grey socks) + P(matching black socks) = 1/11 + 5/33 + 1/22 = (6 + 10 + 3) / 66 = 19/66
14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34) What is the summation notation for the arithmetic series? Enter the correct values for x, y, and z.
x =
y =
z =
Answer:
total -70
Step-by-step explanation:
x =18
y=-28
Z = -60
An Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
The Total value is = -70
x = 18
y = -28
Z = -60
Calculation of Arithmetic SeriesAn Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
1st an 2nd element difference is = 14 - 6 = 8
2nd and 3rd element difference is = - 6 - 2 = -8
3rd and 4th element difference is = - 2 + 10 = 8
4th and 5th element difference is = -10 + 18 = 8
The difference (x,y and z) is 8 and also it's negative because the series is lowering the previous value.
Now, Proof of x,y and z = - 8
14 - 8 = 6
6 - 8 = - 2
- 2 - 8 = - 10
- 10 - 8 = - 18
- 18 - 8 = - 26
-26 - 8 = -34
Therefore, The value is = total -70
x = 18
y = -28
Z = -60
Find more information about Arithmetic Series here:
https://brainly.com/question/24295771
Help plz I’m suck at math
The product of two consecutive integers is 23 more than seven times their sum. Find the integers.
Answer:
3 is the answer
Step-by-step explanation:
#carryonlearning
Classify the equation as having one solution, infinitely many solutions or no
solution. *
9r + 5 – 4 = 4r + 5r – 12
Choose
Answer:
No solutions
Step-by-step explanation:
Simplify both sides of the equation as much as possible:
9r + 5 - 4 = 4r + 5r - 12
9r + 1 = 9r - 12
Both sides have "9r" which when cancel out, leave the equation as:
+1 = -12
This means there are no solutions.
Pleeeeaase help me!! ;-;
what is the vertex of
f(x)= |x - 3| + 2
A. (2, 3)
B. (3, 2)
C. (2, -3)
D. (5, 5)
B . (3,2)
Step-by-step explanation:
I'm unsure of how to explain it but it is B :) have a good day !
I really need help !!
Answer:
x =44
Step-by-step explanation:
180 - 86 - 50 = 44
pleased help meeeeeeeee
a bag contains 6 white marbles and 4 black marbles. a marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw, followed by a white marble on the second?
Answer:
30/90 or 1/3
Step-by-step explanation:
This is because we know that 6+4=10. So we know the odds of drawing a white marble first is 6/10. And if we draw one without replacing it. This makes the second time 5/9 for white and 4/9 for black. We can then multiply 6/10 by 5/9 and get 30/90 which is equal to 1/3.
Hope this helps!
Answer:
1/3
Step-by-step explanation:
P=6/10 ×5/9=30/90=1/3
Can yall help me with the right answer
Answer:
7⁴, seven to the fourth power, and 7×7×7×7 all are equivalent.
Answer:
7^4, 7 to the fourth power, and 7*7*7*7
Step-by-step explanation:
7^4, 7 to the fourth power, and 7*7*7*7 all equal 2,401.
4 to the seventh power equals 16,384.
And 28 does not equal 2,400.
The distribution of the amount of money spent by first-time gamblers at a major casino in Las Vegas is approximately normal in shape with a mean of $600 and a standard deviation of $120. According to the standard deviation rule, almost 84% of gamblers spent more than what amount of money at this casino?
A. $360
B. $480
C. $600
D. $720
E. $840
Answer:
$720
Step-by-step explanation:
Given :
Mean, m = 600
Standard deviation, s = 120
Z = (x - m) / s
P(Z > x) = 84%
P(Z > x) = 0.84
Zscore corresponding to P(Z > x) = 0.84 will be -0.994
Hence,
-0.994 = (x - 600) / 120
120 * -0.994 = x - 600
119.28 = x - 600
119.28 + 600 = x
719.28 = x
Hence,
X = $720
It takes Brian 7 weeks to save
420 dollars. At this rate how
much will he have saved after ||
weeks?
andre and Elena are each saving money. Andre starts with $100 in his savings account
nd adds $5 per week. Elena starts with $10 in her savings account and adds $20 each
jeek.
1. Write an equation in y= mx + b form to represent at what rate Elena and Andre are
aving their money.
Y=mx+b
Answer:
Andre y=5x+100
Elena y=20x+10
the rate Elena is 20
the rate Andre is 5
Step-by-step explanation:
which equation is it please help me !!
Answer:
y-8x=-2
Step-by-step explanation:
so the slope of the perpendicular line has to the negative receprical of the slope of this line which gives
-(-8)=8
let us put all the equations into slope intercept form
a.y=-8x+6
b.y=-1/8x-5
c.y=1/8x-5
d. y=8x-2
y=mx+b
as you can see the only line with a slope of 8 is y-8x=-2
Can someone help me on this place I will mark brianliest ( also in note if you dont want to help then dont help me and if your going to be rude like saying do it yourself please keep that to yourself and be considerate with your manners thank you ^^
Answer:
That is an entire worksheet. Also just download PhotoMath on your phone and it will give you the answers.
Step-by-step explanation: I'll get you started
1) 1
2) 2
3) 4
4)
5) 20
6) 1
7) 2
8) 20
Answer:
1. 1/2
2. 2/3
3. 4/7
4. 10/25
5. 20/40
6. 1/10
7. 2/6
8. 20/90
9. 27/36
10. 1/6
11. ?
12. 2/5
13. 2/3
14. 11/12
15. 17/25
16. 2/8
17. 6/7
18. 42/70
Step-by-step explanation:
Translate the verbal phrase below to an inequality statement:
The opposite of 10 is greater than the sum of twice a number and 5.
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Be sure to show your answer and work using a coordinate plane.
Answer:
U'(-14, 8)Step-by-step explanation:
The transformations include:
T<-2,2>·D3This is a dilation by a scale factor of 3 and then translation 2 units left and 2 units up.
The transformation applied to the point U:
U(-4,2) → U'(-4*3 - 2, 2*3 + 2) = U'(-14, 8)If you're given the points:
(4, 10) (8,9)
What are your y1, and y2?
A. y1= 9; y2= 10
B. y1= 4; y2= 8
C. y1= 10; y2= 9
D. y1= 8; y2= 4
A total of 5.9 percent of the prime time viewing audience watched shows on ABC, 7.6 percent watched shows on CBS, 5.5 percent on Fox, 6.0 percent on NBC, 2.0 percent on Warner Brothers, and 2.2 percent on UPN. A total of 70.8 percent of the audience watched shows on other cable networks, such as CNN and ESPN. You can find the latest information on TV viewing from the following website:
Develop a pie chart or a bar chart to depict this information. Write a paragraph summarizing your findings.
Answer:
Step-by-step explanation:
Given the data :
ABC = 5.9%
CBS = 7.6%
FOX = 5.5%
NBC = 6.0%
Warner Brothers = 2%
UPN = 2.2%
Other Cable network = 70.8%
From. The piechart distribution, it could be seen that majority of prime time audience watched on other cable network such as CNN and ESPN which Is more than 2 times the percentage that watched on channels such as Fox, ABC, CBS, NBC, Warner Brothers, and UPN which polled about 30% of viewers.
Express the radical using the imaginary unit I. Express your answer in simplified form
-22
Given:
The radical expression is
[tex]\pm \sqrt{-22}[/tex]
To find:
The simplified form of the given expression by using the imaginary unit i.
Solution:
We have,
[tex]\pm \sqrt{-22}[/tex]
It can be written as
[tex]\pm \sqrt{-22}=\pm \sqrt{22}\sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex] [tex][\because \sqrt{-1}=i][/tex]
Therefore, [tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex].
Tracy had made a new budget that included all of her necessary expenses. Now she needs to know how much money she has left to spend on entertainment write and solve an inequality be sure to identify your variable
Answer:
t - b >= e
Step-by-step explanation:
There are few actual necessities that a person actually needs in order to survive, everything else is actually a want and not a necessity. Such necessities include food, water, and rent. These can be represented as
Budget = b
We can use them in the following equality. While e would be representing the entertainment and t represents the total money he has.
t - b >= e
You can now plug in the actual values for t and b to find out how much you would have left for entertainment.
How many gallons of a 15% sugar solution must be mixed with a 5 gallons of a 40% solution to make a 20% solution
Answer:
20 gallons of 15% solution must be mixed with 5 gallons of 40% solution.
Step-by-step explanation:
40% of 5 gallons is 2 gallons of sugar
x represents the number of gallons of solution to be added.
15% of x is sugar.
The total amount of sugar must be equal to 20% of the final mixture.
The end mixture will be x + 5 gallons
Change percent to decimal for the equation:
.2(x +5) = .15x +2
.2x +1 = .15x +2
.2x - .15x = 2 -1
.05x = 1
x = 20
Check:
.2(20 +5) = .15(20) +2
.2(25) = 3 + 2
5 = 5 true
This means that adding 20 gallons of the 15% solution is adding 3 gallons of sugar [along with 17 gallons of water] to the 2 gallons of sugar in the original mixture.
20% of the 25 gallons, 5 gallons, of the final mixture is sugar. 80% [ 3+17 = 20 gallons] is water.
(easy points)
If it is now November, what month will it be in 17 months? *
November
January
March
April
Answer:
April
Step-by-step explanation:
If you add 12 months it will be November once more. Then add 5 months which is April.
The expression 42+57 shows how much money Nate spent at a store. Which expression also shows how much money Nate spent?
3(14+19)
3(14x19)
6(7+57)
6(7x57)
Answer:
3(14+19)
Step-by-step explanation:
you have to distribute the 3, so multiply it by both the 14 and the 19.
The 24/7 Truck Rental Company has been charging an initial rental fee of $29 plus $2.50 per hour for rental of their small trucks. After a change in pricing policy, the new fee will be $19 up front plus $3.25 per hour. After how many hours of renting the truck will the new plan be more expensive than the old plan
Answer:
14 hours
Step-by-step explanation:
Old plan :
Initial fee =. $29
Hourly fee = $2.50
New plan :
Initial fee = $19
Hourly fee = 3.25
Let number of hours = x
When new plan will be more expensive than old plan :
19 + 3.25x > 29 + 2.50x
3.25x - 2.50x > 29 - 19
0.75x > 10
x > 10 / 0.75
x > 13.3333
After 14 hours
In ΔQRS, q = 50 cm, s = 27 cm and ∠S=110°. Find all possible values of ∠Q, to the nearest 10th of a degree. PLS
Answer:
2000
Step-by-step explanation:
2hwhjfwftwrd ggg gggggg gggggggggg ggggg
Which number line model represents the expression -4+7.25
Answer: c
Step-by-step explanation: start at -4 then add 7 to that then .5
Sarah and Jack go shopping Jack spends 20 percent of his money and Sarah spends 1/4 of her money how spends more?
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The circumference is 615.44.
The formula is
R = C/(pi)*2
( 2 is square)
( I can't find the pi symbol sorry)
So meaning in simple term, it would look like this
R = 615.44/2*(3.14)
615.44/6.28
then we divide which we will get 98
ANSWER: 98