The probability of rolling a 3 first, then an even number, is 1/12.
What do we mean by probability?Probability is simply the likelihood of something occurring. When we are uncertain about the outcome of an event, we can discuss the probabilities of various outcomes—how likely they are. Statistics is the study of events governed by probability.So, in the given situation the first roll has no effect on the second roll because they are separate events.
Because they are independent, the probabilities of the two events can be multiplied.
The probability of getting a 3 is 1/6.The probability of getting an even number is 1/2 (2, 4, 6).Now, we will multiply the two probabilities as follows:
1/6 × 1/2 = 1/12Therefore, the probability of rolling a 3 first, followed by rolling an even number is 1/12.
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Everett, Miguel, and Ramona are partners, sharing income 1:2:3. After selling all of the assets for cash, dividing losses on realization, and paying liabilities, the balances in the capital accounts are as follows: Everett, $53,600 Cr.; Miguel, $45,500 Dr.; and Ramona, $37,900 Cr. How much cash is available for distribution to the partners?
The amount of cash available for distribution to the partners is $46,000.
How is the amount of cash determined?The amount of cash available for distribution to the partners is computed by summing the partners' capital balances.
From the scenario, Miguel owes the partnership $45,500. Since Miguel has not brought in this amount, the cash available for now is $46,000.
If Miguel cannot bring in $45,500, it implies that the other two partners will share the loss in their income-sharing ratio before distributing the remaining cash.
Data and Calculations:Partners = Everett, Miguel, and Ramona
Income-sharing ratio = 1:2:3
Capital account balances:
Everett, $53,600 Cr.
Miguel, $45,500 Dr.
Ramona, $37,900 Cr.
Total = $46,000 CR
Thus, the amount of cash available for distribution to the partners is $46,000.
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Compete the pattern
5, 7, 4, 6, 3, 5, _
Answer:
its 2
Step-by-step explanation:
it goes as 5, 7, 4, 6, 3, 5, so the next number should be 2
because 5 6 7 is a pair
and 3 4 5 is a pair
so if you look at it like counting numbers then you'll see how i got the answer.
A grading machine can grade 96 multiple choice tests in 2 minutes. If a teacher has 300 multiple choice tests to grade, predict the number of minutes it will take the machine to grade the tests.
Answer:
6.25 minutes
Step-by-step explanation:
96 choice = 2 minutes
300 choice = x
solve for x,
x = 6.25 minutes
Answer:
6 minutes 15 seconds
Step-by-step explanation:
➟ 2/96 = 0.02083
Now we have find the value of minutes per question let's crosscheck it using 96 to make sure it's correct before using it for 300
➟ 0.02083 × 96
➟ 1.9 = 2
Time to calculate for 300 multiple choice test
➟ 0.02083 × 300
➟ 6.249
➟ 6.25
➟ 6 minutes 15 seconds
643=4 x 160 + n write what n represents in the related division problem
Answer: n is 3
Step-by-step explanation: As you multiply 4 and 160 you'll end up with 640 then add n which then adds to 643. This indicates that n is 3.
A train makes a trip at 65mph. A plane traveling at 130mph makes the same trip in 3 fewer hours. Find the distance of the trip.
65mph
130mph 3 fewer hours
130-65=65
3 hours 65mph difference
plane takes 6 hours to get there.
6*130=780
780 miles
A grocer wants to make fruit boxesfrom square cardboard 36 inches long and 36 inches wide as shown.
The shaded areas are cut away and the rest is folded along the dashed lines. The sides are folded up and stuck together using the four flaps marked F. The lid has two flaps, marked L, which are not glued.
Calculate the volume of the finished box. What is the largest volume possible if the 4 inches can be changed to any measurement?
Answer:
(a) 1568 in³
(b) 1728 in³
Step-by-step explanation:
You want to know the volume of the box that can be formed from the pattern shown, and the maximum volume that can be had by changing the 4-inch dimension.
VolumeThe volume of the box is the product of its length, width, and height. The height of the box is shown as 4 inches.
The length is shown as the difference between 36 inches and twice the 4-inch dimension:
length = 36 -2(4) = 28 . . . . inches
The width is shown as half the difference between 36 inches and twice the 4-inch dimension. That will make it be half the length.
width = (1/2)(36 -2(4)) = 14 . . . . inches
Then the volume of the box from the pattern shown is ...
V = LWH = (28 in)(14 in)(4 in) = 1568 in³
Maximum volumeUsing the above observations regarding dimensions, we can write the volume in terms of the height of the box (x) as ...
height = x
length = 36 -2x
width = 18 -x
volume = (x)(36 -2x)(18 -x) = 2x³ -72x² +648x
The maximum volume will be found at the value of x that makes the derivative of volume be zero:
V' = 6x² -144x +648 = 0
x² -24x +108 = 0 . . . . . . . . divide by 6
(x -6)(x -18) = 0 . . . . . . . . factor
Values of x that make the derivative zero are x=6 and x=18. The original equation is a cubic with a positive leading coefficient, so we know these values correspond to a local maximum and a local minimum, respectively.
The largest volume possible is obtained with a corner cut of 6 inches. That volume is ....
V = (6)(36 -2·6)(18 -6) = 6(24)(12) = 1728 . . . . cubic inches
The largest volume possible is 1728 in³.
What is the geometric mean of 34 and 60?
O 2√510
O 4√510
O 47
√95
[tex]\cfrac{34}{x}=\cfrac{x}{60}\implies 2040=x^2\implies \sqrt{2040}=x\implies \sqrt{2^2\cdot 510}=x\implies 2\sqrt{510}=x[/tex]
The solution is Option A.
The geometric mean of the two numbers 34 and 60 is A = 2√510
What is Geometric Mean?The geometric mean is given by the root of the product of the two numbers
Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values
Let the two numbers be a and b
The geometric mean between a and b is A = √ab
Given data ,
Let the equation be represented as A
Now , the value of A = geometric mean between the numbers
Let the first number be a
The value of a = 34
Let the second number be b
The value of b = 60
Now , the geometric mean between 34 and 60 is
A = √first number x second number
Substituting the values in the equation , we get
A = √34 x 60
A = √2040
A = √ ( 4 x 510 )
A = 2√510
Therefore , the value of A is 2√510
Hence , the geometric mean is 2√510
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3.
You flip a coin once and get heads. You flip it a
second time and get heads again. What is the
probability of getting tails when you flip the coin a
third time?
the chances are always 50 50
Which expression is equivalent to (fg)(5)?
Answer:
[tex]fg x5 \\ 5fg[/tex]
21. Cindy is longboarding 6 mi ahead of Tamira. Cindy is traveling at an average rate of 2 mph Tamira is traveling at a rate of 4 mph. Let represent the number of hours since Tamira started longboarding . When will Tamira be ahead of Cindy ? Write an inequality to represent this situation.
The inequality to represent the equation is 4x>2x ₊ 6
Given,
Cindy is longboarding 6 miles ahead of Tamira.
Cindy is traveling at an average rate of 2 mph
cindy = 2x ₊ 6
Tamira is traveling at a rate of 4 mph.
Tamira = 4x
Tamira will be ahead of cindy so,
4x > 2x ₊ 6
hence we get the inequality as 4x > 2x ₊ 6
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Suppose we want to choose 6 objects, without replacement, from 8 distinct objects.
If we want to choose 6 objects, without replacement, from 8 distinct objects then total number of ways are 20160 (8x7x6x5x4x3).We can use the concept of permutation to find number of ways.
The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply put, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.
Combination and permutation are part of the accounting discipline's mathematical branch. Combinations are used in business decision-making to choose from among the available objects. In contrast, the arrangement of such objects that are chosen through combinations uses permutations.
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If f(x) = 2x²+2 and g(x)=x2-1, find (f- g)(x).
The function g (x) is called an inner function and the function f (x) is called an outer function. Hence, we can also read f [g (x)] as “the function g is the inner function of the outer function f”.
Given that,
f(x) = 2x²+2 and
g(x)=x2-1
So find the (f- g)(x).
(f- g)(x) means,
Multiply x into f and g functions
Then, (f- g)(x) = f(x)-g(x)
Replace with f(x) and g(x) values in this equation
So,
(f- g)(x)= f(x)-g(x)
= (2x²+2) - (x2-1)
Distribute the subtraction to all three of the last terms.
= 2x²+2-2x+1
= 2x²-2x+2+1
Combine like terms
(f- g)(x) = 2x²-2x+3
Therefore,
f(x) = 2x²+2 and
g(x)=x2-1,
So,
(f- g)(x) = 2x²-2x+3.
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Balloon arrangements for a birthday oarty
Answer:
get 6 balloons, pink blue red x2
Step-by-step explanation:
pretty
You receive a work order for a job, after looking at the cut list you determine it will require pieces 9” x 4” and 3/16” thick. Glancing through the material in stock you see 2 pieces of 3/16” plate that will work. The first is 48” x 12” the other 36” x 28”. How many total pieces can be cut out through the material of stock?
A total 44 pieces can be cut out through the material of stock.
The dimensions of the piece required,
length = 9''
breadth = 4''
thickness = 3/16''
The dimension the the available material pieces in the stock of first piece,
length = 48''
breadth = 12''
thickness = 3/16''
The dimension the the available material pieces in the stock of second piece,
length = 36''
breadth = 28''
thickness = 3/16''
Let say that N pieces can be obtained from these two pieces, So, by calculating area method,
Area of n small pieces = Area of the two stock pieces
N x (9'' x 4'') = (48'' x 12'') + (36'' x 28'')
N x 36''² = 576''² + 1008''²
N x 36''² = 1584''²
N = 1584''²/36''²
N = 44.
So, a total of 44 pieces can be cut out through the material of stock.
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Donna DePaul is raising money for the homeless. She discovers that every church group requires two hours of letter writing and one hour follow up while every labor union. She needs two hours of letter writing in three hours to follow up. Donna can raise $125 from each church group and $200 from each union local and she has a maximum of 20 hours of letter writing in a box mama 14 hours a follow up available per month determine the most profitable mixture of groups she should contact in the most money she can raise in a month.
a) 2 letters to church and 4 letters to union
b) $ 1000
what is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given data:
Letter writing time for church = 2 hours
Follow up required for church = 1 hour
Letter writing time for labor union = 2 hours
Follow up required for labor union = 3 hour
Funds from church = $ 100
Funds from union = $ 200
now, let 'x' be the number of letters written to church
and let 'y' be the number of letters written to labor union
According to the given conditions
maximum timing for letter writing = 12 hours
So,
2x + 2y ≤ 12 hours
x + y ≤ 6 hours
Now, maximum time for follow up = 14 hours
1x + 3y ≤ 14 hours
on solving the both the equations
x + y = 6
- ( 1x + 3y = 14 )
----------------------
0 - 2y = -8
y = 4 hours
and, x + 4 = 6
x = 2
Now,
money raised = (2 × $ 100) + (4 × $ 200)
= $ 1000
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Assume 6,000 children go to Disneyland today. How much additional revenue will Disneyland receive if it raises the cost of admission
from $31 to $41?
The additional revenue that Disneyland will get if admission is raised from $31 to $41.
= $60000.
What is additional revenue ?An additional revenue stream is exactly what it sounds like – another option for you and your company to make money. It is supplemental income that you earn in addition to the main revenue stream that defines and mostly sustains your firm.
Is revenue profit or income?Revenue denotes income generated by business operations, whereas profit denotes net income after deducting expenses from earnings. Sales, fee income, and property income are all examples of revenue.
According to the given data:6,000 children
first cost = 31
second cost = 41
The cost was raised from 31 to 41 so the Disneyland will make 10 profit per children.
The additional revenue will Disneyland receive if it raises the cost of admission from $31 to $41:
6000 x 10
= $60000
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simplify.
−x2+2y−3x2+10
Answer:
(2 (y - 2 x^2 + 5))
Step-by-step explanation:
Simplify the following:
2 y - x^2 - 3 x^2 + 10
Grouping like terms, 2 y - x^2 - 3 x^2 + 10 = 2 y + (-x^2 - 3 x^2) + 10:
2 y + (-x^2 - 3 x^2) + 10
-x^2 - 3 x^2 = -4 x^2:
2 y + -4 x^2 + 10
Factor 2 out of 2 y - 4 x^2 + 10:
Answer: (2 (y - 2 x^2 + 5))
Answer:
(2 (y - 2 x^2 + 5))
What is (−112)(53)(−3)?
Answer:
(-112) * (53) * (-3) = 17808
Answer:
-122 (53) (-3)= 19398
Step-by-step explanation:
hope this helps!
Find the debt per capita for each state below for the year 2016 round to the neartest dollar
The debt per capita of Illinois is $11933, Indiana is $ 7601, Ohio is $ 7291 and Kentucky is $ 8687
Given to find the debt-per capita ratio
Let us convert them into dollars
1 billion dollars= 10^9 dollars
1 million= 10^6
State Debt Population Debt per capita
Illinois 151.67*10^9 12.71*10^6 (151.67*10^9) /(12.71*10^6)
= $11933.12
Indiana 50.85*10^9 6.69*10^6 (50.85*10^9) /(6.69*10^6)
=$7600.90
Ohio 85.23*10^9 11.69*10^6 (85.23*10^9) /(11.69*10^6)
=$7290.85
Kentucky 38.83*10^9 4.47*10^6 (38.83*10^9) /(4.47*10^6)
=$ 8686.80
So, The debt per capita of Illinois is $11933, Indiana is $ 7601, Ohio is $ 7291 and Kentucky is $ 8687
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100 points please help asap
Answer:
use math away it helps out a lot
The length of the arc intercepted by a central angle of 3 radians in a circle of radius 79 is
Given a scale 2in=35 miles on map what would be 6 inches be
Answer:
105
Step-by-step explanation:
you do 35/2 to find how much 1 inch is which is 17.5 and multiply by 6
If it takes 37 hours and 4 minutes to complete 185 assignments, how long would it take to complete 45 assignments? (Explain your answer).
Answer: I believe it would take 9 13/800 (9.01625) hours.
Step-by-step explanation:
If you divide the 37 hours and 4 minutes by 185 assignments, you would get how many hours or minutes it would take to complete 1 assignment, then you multiply it by the 45 assignments, and there's your answer. :) Hope this helps.
Solve the following equation. Then place the correct number in the box provided. 8 + x = 13 + 2x
Answer:
-5
Step-by-step explanation:
8 + x - 8 = 13 + 2x - 8
The 8 cancels on the left
x - 2x = 13 + 2x - 8 - 2x
The 2x cancels on the right
x - 2x = 13 - 8
Do the calculation to find
- x = 5
- x . (-1) = 5 . (-1)
Times by -1 to cancel the negative sign because you arises to find x and not -x
You finally get x = -5
Answer: You must have typed it wrong cause they can not equal each other
Step-by-step explanation:
8 + 1 does not equal 13 + 2
nor with two, three, four, and so on.
What is an algebraic expression for each word phrase?
a. 11 more than twice a number x
b. 2 less than the quotient of 5 and a number x
C. the product of 4 and the sum of a number x and 8
Answer:
a. 2x + 11
b. (5/x) - 2
c. (x + 8) * 4
Step-by-step explanation:
I may be wrong on b and c because the wording is a bit weird. Here is a list of common wording and their respective things. Have a great day!
Aubrey's car used 2 gallons to travel 90 miles. How far can she travel on 11 gallons?
Answer: 495
Step-by-step explanation: If the car traveled for 90 miles on 2 gallons of gas and we now have 11 gallons Divide 2÷11 = 5.5 or
90×5.5 = 495
The number of miles Aubrey's car can travel is 495 miles
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the distance traveled by Aubrey's car for 11 gallons be = A
Now , the equation will be
The distance traveled by Aubrey's car for 2 gallons = 90 miles
So ,
The distance traveled by Aubrey's car for 1 gallon = distance traveled by Aubrey's car for 2 gallons / 2
The distance traveled by Aubrey's car for 1 gallon = 90 / 2
The distance traveled by Aubrey's car for 1 gallon = 45 miles
So , the equation will be
The distance traveled by Aubrey's car for 11 gallons A = The distance traveled by Aubrey's car for 1 gallon x 11
The distance traveled by Aubrey's car for 11 gallons A = 45 x 11
The distance traveled by Aubrey's car for 11 gallons A = 495 miles
Therefore , the value of A is 495 miles
Hence , The number of miles Aubrey's car can travel is 495 miles
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When the coordinates (1, 1), (4,4), (7, 1), and (4, -2) are joined, which shape is formed?
Check the picture below.
Find BP with endpoints
B(1,6) and P(-3,10).
The answer of the sum is BP = 4√2
To solve this particular sum we need to know about distance formula. IT is basically nothing but gives the length of the line segment . There are various types of distance formula:
Distance between two points in a 2D planeDistance between two points in a 3D planeDistance from a point to to a line in 2D Distance from a point to to a line in 3D Distance between 2 parallel planesThe formula we are going to use in the sum is :
√{(x₂-x₁)² + (y₂-y₁)² } [ the root is over full expression ]
Here in the given sum
(x₁,y₁)=(1,6)
(x₂,y₂)=(-3,10)
If we put the values of x₁ , x₂, y₁, y₂ in the above formula we get :
BP = √{(-3-1)² + (10-6)²}
√{(-4)²+4²}
√(16+16 )
√32
4√2
So the value of BP is 4√2
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Which equations are in standard form? Check all that apply y = 2x + 5 2x + 3y = –6 –4x + 3y = 12 y = x – 9 x + 3 = 6 x – y = 5 5x + 3y =
Jeremy determines that √9= 9^1/2. Part of his work is shown
√9=3=3^1=3^1/2 + ^1/2=____=9^1/2
Which expression or equation should be placed in the blank to correctly complete Jeremy's work?
A: (3^2)^1
B: 3^1/2 + 3^1/2
C: 3^1/2 x 3^1/2= (3x3)^1/2
D: 3^1/2 x 3^1/2= (3x3)^1/2+^1/2
Equation (A) 3¹ can be correctly placed in Jeremy's work.
What exactly are equations?An equation, in its most basic form, is a mathematical statement that shows that two formulas are equal.For example, 3x + 5 = 14 is an equation in which 3x + 5 and 14 are 2 different expressions kept separate by a 'equal' sign.So, in the situation, Jeremy concludes: [tex]\sqrt{9}=9^{\frac{1}{2}}[/tex]
Which results from the work: [tex]\sqrt{9}=3=3^1=3^{\frac{1}{2}+\frac{1}{2}}=3^1=9^{\frac{1}{2}}[/tex]The missing piece is: [tex]\frac{1}{2}+\frac{1}{2}=1[/tex]The answer is 3¹ if two halves equal a whole.Therefore, (A) 3¹ is the equation that should be correctly placed in Jeremy's work.
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The complete question is given below:
Jeremy determines that √9= 9^1/2. Part of his work is shown
√9=3=3^1=3^1/2 + ^1/2=____=9^1/2
Which expression or equation should be placed in the blank to correctly complete Jeremy's work?
A: 3¹
B: (3^2)^1
C: 3^1/2 + 3^1/2
D: 3^1/2 x 3^1/2= (3x3)^1/2
E: 3^1/2 x 3^1/2= (3x3)^1/2+^1/2