There are 18 black and 12 navy socks in your drawer. The room is dark and you
cannot turn on the light. What is the least number of socks that you have to take out of
your drawer to be certain that you have a pair of black socks?
Answers
The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.
Given that,
There are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light.
We have to determine
What is the least number of socks that you have to take out of your drawer to be certain that you have a pair of black socks?
According to the question,
The following steps can be used in order to determine the least number of socks that you have to take out of the drawer:
The total number of blue socks is 18,
And the total number of navy socks is 12.
The probability that the socks come out is black socks is,
[tex]\rm P_b = \dfrac{18}{18+12}\\\\P_b= \dfrac{18}{30}\\\\P_b = \dfrac{3}{5}[/tex]
And the probability that the socks come out is navy socks is,
[tex]\rm P_n = \dfrac{12}{18+12}\\\\P_n= \dfrac{12}{30}\\\\P_n = \dfrac{2}{5}[/tex]
On comparing both the probability,
[tex]\rm P_b>P_n[/tex]
Hence, The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.
For more details refer to the link given below.
https://brainly.com/question/19200823
Answer:3
Step-by-step explanation:
I found this out because is you take 3 out you will get BLUE BLUE BLACK or BLACK BLACK BLUE or BLUE BLUE BLUE or BLACK BLACK BLACK
Hope that helps
Related Questions
The temperature fell by 15 degrees Fahrenheit today.
Write a signed number to represent this temperature change.
Answers
We read this out as "negative 15" or you could write "negative fifteen".
The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.
For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.
Campsite fees
(per day)
Tent ...... .. $15.00
Caravan ....... $25.00
The sign shows the fees charged at a campsite.
Today there are 54 tents and 18 caravans on the site.
Calculate the fees charged today.
Answers
Answer:
1260
Step-by-step explanation:
Tents: 15×54=810
Caravans: 25×18=450
450+810=1260
Answer:
$1260
Step-by-step explanation:
Campsite Fees:
Tent - $15 (per day)
Caravan - $25 (per day)
No. of Tents and Caravans today:
Tents - 54
Caravan - 18
Total fees for Tent = 15 x 54
= $810.
Total fees for Caravan = 25 x 18
= $450.
Fees altogether for Today = Total fees for Tent + Total fees for Caravan
= $810 + $450
= $1260
rea Calculations
1.
What is the surface area of the bottom of a rectangular storage
tank 10 feet long and five feet wide?
Answers
10 X 5 = 50
Find (x + 3)(4x - 1). *
O4x2 - 11x-3
O 4x^2 + 11x - 3
O 4x^2 + 13x - 3
4x^2 + 12x - 3
Answers
Answer:
Step-by-step explanation:
(x+3)(4x-1) = 4x² + 12x - x - 3 = 4x² + 11x - 3
Katsuro ran 3 1/6 miles each day for 7 days. How far did he run in all?
Answers
Answer:
22 1/6
Step-by-step explanation:
Answer:
22 1/6
Step-by-step explanation:
Katsuro ran 3 1/6 each day for 7 days straight how far did he run in all? ANSWERS:
10 1/6 miles
10 1/2 miles
22 1/6
44 1/3
A bag contains 15 red marbles, 13 blue marbles,
and the rest are yellow marbles. There are a
total of 50 marbles in the bag. What is the
probability of choosing a yellow marble?
3
A)
10
13
B)
50
14
C)
25
11
D)
25
Answers
Answer:
11/25
Step-by-step explanation:
15 red, 13 blue, and 50 total. Therefore, yellow = 50-15-13=22.
Probability (yellow) = 22/50 = 11/25
Answer:
[tex]\frac{11}{25}[/tex] chance
In percent form;
44%
Step-by-step explanation:
1. Approach
First, one must find the amount of yellow marbles in the bag. This can be done by subtracting the amount of red and blue marbles from the total marbles in the bag. Then one will set up a proportion and solve to find out the probability of choosing a yellow marble. Remember, probability is [tex]\frac{desired_{.}outcomes}{total_{.}outcomes}[/tex]
2. Find the amount of yellow marbles
Subtract the number of red and blue marbles from the total marbles in the bag;
[tex]total_{.}marbles-(red+blue)\\\\=50-(15+13)\\\\=50-28\\\\=22[/tex]
There are [tex]22[/tex] yellow marbles.
3. Find the probability of selecting a yellow marble
Remember, probability is [tex]\frac{desired_{.}outcomes}{total_{.}outcomes}[/tex] and a percent is out of 100. Using this knowledge one can set up a proportion in the format;
[tex]\frac{desired_{.}outcomes}{total_{.}outcomes} = \frac{percent}{100}[/tex]
Substitute;
[tex]\frac{22}{50}=\frac{percent}{100}[/tex]
Simplify,
[tex]\frac{11}{25}=\frac{percent}{100}[/tex]
Cross products,
[tex]\frac{11}{25}=\frac{percent}{100}\\\\1100=25*(percent)\\[/tex]
Inverse operations;
[tex]1100=25*(percent)\\/25\\\\44=percent[/tex]
18. The side length of a square is 7a 3b feet. What is the area of the square in feet? Box your final answer!
Answers
Answer:
ouhnewu0h8coehuqnce0nuqfenueqnuqwe0nu8iquenw
Step-by-step explanation:
uieqnueru0njfqenu0fqenuen0rue0fuinfuine0
a+b=10, c+d=18, a+c=12, b+d= 16. find the value of A,B,C and D?
Answers
Answer:
1
5
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If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?
Answer
12
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Patrick Ivers, former mathematics & English instructor
Answered June 26, 2018
If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?
The puzzle is solved by defining each variable in terms of another variable & a number & then making substitutions. Begin by taking each sum to define one of the variables in terms of the other. (Different combinations are available, but I’ll follow the a,b,c order.)
a+b=8 becomes a=8-b
b+c=10 becomes b=10-c
c+a=12 becomes c=12-a
Now subtract two of the equations that contain the same variable. I’ll pick two that contain an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. Adding b to both sides to isolate c gives c=b+4. From above we can take b=10-c to substitute for b in c=b+4, giving us c=(10-c) + 4). Simplify the right side to c=14-c, add c to both sides, giving 2c=14, & then divide both sides by 2 to obtain c=7.
Replace the c in b=10-c with 7 to
Continue Reading
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Related Answer
Paul K. Young, Former PhD candidate in Mathematics
Answered September 28, 2016
If A = B and B = C, does A = C?
In mathematics = is assumed to be a transitive relationship. Transitivity means precisely what you stated: A = B and B = C implies A = C.
While it’s possible to use = to represent a non-transitive relationship this would be considered an abuse of notation. A ~ B or R(A, B) would be a better way to express the relation in this case.
Similar assumptions are made about operators like + and *. + is generally assumed to be commutative, whereas * can be used for noncommutative operations like matrix multiplication. E.g. A * B != B * A.
Equality in programming is another story entirely.
In many languages = is the assignment operator and == is the equality operator. Assignment is not transitive - it’s not even a relation.There are cases where the equality operator doesn’t define a transitive relation.
If you split the circle into 4 equal parts, how many degrees will each piece be? Show your work.
Answers
Answer:360 degrees in a circle divide by 4 is 90
Step-by-step explanation: there are 360 degrees in a circle so divide that by 4 and you get 90
Is the quotient 3.6÷9 greater than or less than 1?explain to a friend
Answers
Answer: less than 1
Step-by-step explanation:
3.6/9 = 0.4
0.4 = 4/10 or reduced, 2/5
2/5 is less than 1
Answer:
The quotient of 3.6/9 is less than 1
Step-by-step explanation:
Quotient means the number we have once we divide two number
3.6/9 is equal to 0.4 and if it were to be greater than 1 there wouldn't be a zero in the ones place
Find the value of x and the value of y
Answers
Answer:
A. x = 16, y = 9√2
Step-by-step explanation:
✔️Let's find y first using trigonometric ratio:
Reference angle = 45°
Hypotenuse = y
Opposite = 9
Therefore,
Sin(45) = 9/y
y = 9/sin(45)
y = 9/(1/√2)
y = 9 × √2/1
y = 9√2
✔️To find x, let's find the adjacent side of the right triangle first, them add it to 7.
Adjacent side using Pythagorean Theorem would be,
Adj² = y² - 9²
Adj² = (9√2)² - 9²
Adj² = 162 - 81
Adj² = 81
Adj = √81
Adj = 9
x = adj + 7 = 9 + 7
x = 16
Given that R= 9x + 8y
Find y when x = 3 and R= 27
Answers
Answer:
1/3 or 0.3 (recurring)
Step-by-step explanation:
Let's substitute our numbers into the equation.
27 = 9x + 24 I multipled 8 by 3 in order to get 24, because x equals 3.
Now take away 24 leaving 9x on its own.
3 = 9x
Divide 9 to separate it from x.
3/9 = x
Simplify the fraction.
1/3 = x
AB = AC = 25 and BC = 30. BD is perpendicular to AC . Find BD.
Answers
Answer:
15
Step-by-step explanation:
Sqr root of 225
Answer:24
Step-by-step explanation:
that's wrong, and I'm here to put the correct answer
take a look at this image, because ac=25 you set dc as x and ad as 25-x, then after that, you can form the equation root of 25^2-(x5-x)^2=root of 30^2-(x)^2 using the pythaeogrem theorem. After that you would get that x=18, then after that you just apply the theorem. 30^2-18^2 root which you would then get 24.
A ____ is a term with a number part but no variable. (WILL GIVE BRAINLIEST) (❁´◡`❁)
Answers
Answer: it’s a Constant!
Step-by-step explanation:
10x (4 +2) = 10 x6 =60
Answers
PLS HELP ASAP Which equation models this situation?
28 more than a number is 33.
A. X+ 33 = 28
B. X- 28 = 33
C. X = 28 + 33
D. X + 28 = 33
Answers
Answer:
d
Step-by-step explanation:
Answer:
more than a number = addition
so it is D because the end result has to be 33.
Step-by-step explanation:
Hope this helped!
A clock gains time at a steady rate. It is set to the correct time at
10: 00 AM. When the clock shows 2 : 00 PM, the correct time is
1: 36 PM. How many minutes fast will the clock be the next time the
correct time is 5 : 30 PM?
Answers
Answer:
The clock will be 50 minutes fast
Step-by-step explanation:
Proportions
It's known a clock gains time at a steady state, or constant rate.
At 10:00 AM the clock is set at the correct time and at 1:36 PM the clock shows 2:00 PM. This means in that period of time, it has gained 24 minutes.
From 10:00 AM to 1:36 PM there are 3 hours and 36 minutes, or equivalently, 3*60+36 = 216 minutes
Our clock gains time at a rate of 24 minutes each 216 minutes. This gives the ratio 24:216 = 1:9.
When the new correct time is 5:30 PM, there will have passed 7 hours and 30 minutes since 10:00 AM, or equivalently, 7*60+30 = 450 minutes.
Since the clock gains time at a ratio 1:9, the time gained is 450/9=50 minutes.
The clock will show 50 minutes more than the correct time of 5:30 PM, that is, 6:20 PM.
The clock will be 50 minutes fast
The lifetime of a certain brand of battery is normally distributed with a mean value of 8 hr and a standard deviation of 0.8 hr when it is used in a particular cassette player.Suppose that two new batteries are independently selected and put into the player. The player ceases to function as soon as one of the batteries fails.
(a) What is the probability that the player functions for at least 6 hr?
(b) What is the probability that the cassette player works for at most 9 hr?
Answers
Answer:
Step-by-step explanation: o847434y3u3u44y4u5u5u5uu6
plz help this is hard for me What is the area of this figure?
Answers
Answer:
21 m^2
Step-by-step explanation:
(5*2) + (6*2) - (1*1) = 21
21m^2
Explanation:
First, we can find the areas of the two large rectangles.
A=lw
A=2*6
A=12m^2
A=lw
A=2*5
A=10m^2
Now, we can find the area of the small square where the two rectangles overlap. We can tell that the side lengths of the square are all equal to 1 (we know this because the side lengths of the rectangles are 1 less on one side).
A=lw
A=1*1
A=1m^2
Now, we can subtract 1m^2 from either of the two rectangles’ area we solved for earlier.
12m^2-1m^2
=11m^2
Then, we can add this area to the area of the other rectangle.
11m^2+10m^2
=21m^2
I hope this helps!
Some isosceles triangles are not equilateral.
O A. True
O B. False
Answers
ayo, i need help. willing to give brainliest to correct and first answer. it's for iready math bro.
Answers
Answer:
ay bro its 39 bc the q and r together they equal 39 plus you can also solve it with the calcliqiusnatine if you know what that is hope this helps!
Step-by-step explanation:
Answer:
29 degrees.
Step-by-step explanation:
The total of a triangle is 180 degrees.
If R = 27, that means that P and Q must make up 153 degrees.
The exterior and interior angle of Q will equal 180 degrees, as that is a straight line. Therefore, do 180 - 56 = 124, which is the degree measure of Q.
Lastly, do 153 - 124 to get 29 degrees for P.
Solve the equation.
-(1+7x) - 6(-7- x) = 36
a)
5
X=--
6
b)x= -7
c) x = 13
d) x = 5
Answers
Answer:
x=5
Step-by-step explanation:
esa es la respuesta correcta
Answer: it D x=5
Step-by-step explanation:
Please show work so i know how you got your answer..thank you and have a nice day<3
Answers
Answer:
V=whl=2·2.5·4=20
Step-by-step explanation:
Answer:
2880 feet³
Step-by-step explanation:
since the question is asking for cubic feet we know we're finding volume.
v=l·w·b
v=4·24·30
=2880
Help!!!!!!!!!!!!!!!!!!!!!
Answers
r = 18
s = 17
t = 16
ntries into T Accounts and Trial Balance
Connie Young, an architect, opened an office on October 1, 20Y4. During the month, she completed the following transactions connected with her professional practice:
Transferred cash from a personal bank account to an account to be used for the business, $66,600.
Paid October rent for office and workroom, $6,700.
Purchased used automobile for $43,000, paying $10,000 cash and giving a note payable for the remainder.
Purchased office and computer equipment on account, $13,300.
Paid cash for supplies, $3,200.
Paid cash for annual insurance policies, $4,500.
Received cash from client for plans delivered, $16,700.
Paid cash for miscellaneous expenses, $1,800.
Paid cash to creditors on account, $3,860.
Paid $530 on note payable.
Received invoice for blueprint service, due in November, $2,200.
Recorded fees earned on plans delivered, payment to be received in November, $11,500.
Paid salary of assistants, $3,500.
Paid gas, oil, and repairs on automobile for October, $870.
Required:
1. Record the above transactions (in chronological order) directly into the T accounts. To the left of the amount entered in the accounts, select the appropriate letter to identify the transaction.
2. Determine account balances of the T accounts. Accounts containing a single entry only (such as Prepaid Insurance) do not need a balance.
Cash
fill in the blank ee9b75febf99fe7_2
fill in the blank ee9b75febf99fe7_4
fill in the blank ee9b75febf99fe7_6
fill in the blank ee9b75febf99fe7_8
fill in the blank ee9b75febf99fe7_10
fill in the blank ee9b75febf99fe7_12
fill in the blank ee9b75febf99fe7_14
fill in the blank ee9b75febf99fe7_16
fill in the blank ee9b75febf99fe7_18
fill in the blank ee9b75febf99fe7_20
fill in the blank ee9b75febf99fe7_22
Bal. fill in the blank ee9b75febf99fe7_23
Accounts Receivable
fill in the blank ee9b75febf99fe7_25
Supplies
fill in the blank ee9b75febf99fe7_27
Prepaid Insurance
fill in the blank ee9b75febf99fe7_29
Automobiles
fill in the blank ee9b75febf99fe7_31
Equipment
fill in the blank ee9b75febf99fe7_33
Accounts Payable
fill in the blank ee9b75febf99fe7_35
fill in the blank ee9b75febf99fe7_37
fill in the blank ee9b75febf99fe7_39
Bal. fill in the blank ee9b75febf99fe7_40
Notes Payable
fill in the blank ee9b75febf99fe7_42
fill in the blank ee9b75febf99fe7_44
Bal. fill in the blank ee9b75febf99fe7_45
Connie Young, Capital
fill in the blank ee9b75febf99fe7_47
Professional Fees
fill in the blank ee9b75febf99fe7_49
fill in the blank ee9b75febf99fe7_51
Bal. fill in the blank ee9b75febf99fe7_52
Salary Expense
fill in the blank ee9b75febf99fe7_54
Blueprint Expense
fill in the blank ee9b75febf99fe7_56
Rent Expense
fill in the blank ee9b75febf99fe7_58
Automobile Expense
fill in the blank ee9b75febf99fe7_60
Miscellaneous Expense
fill in the blank ee9b75febf99fe7_62
3. Prepare an unadjusted trial balance for Connie Young, Architect, as of October 31, 20Y4. For those boxes in which no entry is required, leave the box blank.
Connie Young, Architect
Unadjusted Trial Balance
October 31, 20Y4
Debit
Balances Credit
Balances
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fill in the blank a257bb028f83050_3
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fill in the blank a257bb028f83050_9
fill in the blank a257bb028f83050_11
fill in the blank a257bb028f83050_12
fill in the blank a257bb028f83050_14
fill in the blank a257bb028f83050_15
fill in the blank a257bb028f83050_17
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fill in the blank a257bb028f83050_27
fill in the blank a257bb028f83050_29
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fill in the blank a257bb028f83050_33
fill in the blank a257bb028f83050_35
fill in the blank a257bb028f83050_36
fill in the blank a257bb028f83050_38
fill in the blank a257bb028f83050_39
fill in the blank a257bb028f83050_41
fill in the blank a257bb028f83050_42
fill in the blank a257bb028f83050_44
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4. Determine the net income or net loss for October.
$fill in the blank 9acd7e077000f8b_2
Answers
Write the equation in slope-intercept form
of the line graphed below
Answers
Y = mx + b
M=slope and you get slope by doing rise over run
b= y intercept which is a 1
find the answer?
35-y=21
Answers
The length of a rectangle is two times its width. Find the area if its perimeter is 7 1/3
Answers
Let x be the width
width = x
Length is twice its width
length = 2x
Perimeter = length + width + length + width
Perimeter = x + 2x + x + 2x = 6x
Given that perimeter = 7 1/3
6x = 7 1/3
x = 7 1/3 ÷ 6 = 1 2/9
So width = 1 2/9
Length = 1 2/9 x 2 = 2 4/9
Area = length x width
Area = 1 2/9 x 2 4/9
Area = 2 80/81 square cm
How do you find the mean?
Answers
Answer:
mean is when you add all the numbers together then divide by how many values there are
Step-by-step explanation:
What is 1.905 written as a mixed number in simplest form?
Answers
Answer:
1 9/10
Step-by-step explanation:
If you need this as a fraction then the answer is probably 1 9/10
The required mixed number for 1.905 is 1 905/1000 or 1 9 / 10.
Given that,
To determine the mixed fraction of 1.905.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
A mixed number is a number consisting of a whole number and a proper fraction.
The given number,
= 1.905
= 1 + 0.905
= 1 + 905 / 1000
= 1 905 /1000
Thus, the required mixed number for 1.905 is 1 905/1000 or 1 9 / 10.
Learn more about simplification here: https://brainly.com/question/12501526
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