Find the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled

Answers

Answer 1

Answer:

Step-by-step explanation:

The total sum of the answers or sums that we can get when we roll a pair(2) dice is 36. Yes, there are repeated sums.

All the even sums: 2,4,6,4,6,8,4,6,8,6,8,10..., if you notice, there are 18 even sums.

All the sums that are odd by greater than 7: 9,9,9,11,9,11, if you notice, there are 6 of them.

Total: 6 + 18 = 24

Probability(A) = number of favorable outcomes/ total number of outcomes

The probability is 24/36 = 2/3

Answer 2

The probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled is 2/3.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

We need to find the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled.

The total sum of the answers or sums that we can get when we roll a pair(2) dice is 36.

All the even sums: 2,4,6,4,6,8,4,6,8,6,8,10...,

there are 18 even sums.

All the sums that are odd by greater than 7: 9,9,9,11,9,11, there are 6 of them.

Total: 6 + 18 = 24

Probability(A) = number of favorable outcomes/ total number of outcomes

Therefore, The probability is 24/36 = 2/3

Hence, the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled is 2/3.

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Related Questions


which is the equation of a line that is perpendicular to the line represented by y=3/4x-1/2?

Answers

-4/3

Slope of equation in the form y=mx+c is the m which is 3/4
For perpendicular lines
m1*m2=-1
m2=-1/m2
=-4/3

Please mark as brainliest

another algebra problem i cant solve

Answers

Answer:

where is the problem?

Step-by-step explanation:

Which angle on a circle graph does 36% represent?

Answers

Answer:

There are 360° in a full circle. 36% of 360 = 0.36 * 360 = 129.6° which rounds to 130°.

Answer:

x= 130°

Step-by-step explanation:

We want to khow what is the size of the angle that coresponds 36  percent

we can state :

360 degree ⇒100 percent x (the angle we are looking for)⇒ 36 percent using the proportionality relation : x=  (360*36)/100x = 129.6° round it x= 130°

FOLIUS
Select the two binomials that are factors of 49x2 - 36.
I A. 7x + 6
B. 7x + 12
OC. 7x-6
D. 7x - 3

Answers

Answer:(7x - 6)(7x + 6)

Step-by-step explanation:

Answer:

answer is just C and

Step-by-step explanation:

Use the data set shown below to complete the sentence.
3, 3, 4, 5, 5,9
The mean
the median. is it greater than, is less than or is equal to​

Answers

Answer:

is greater than

Step-by-step explanation:

Mean: sum of numbers ÷ how many numbers there are

3 + 3 + 4 + 5 + 5 + 9 = 29

29 ÷ 6 = 4.83333

Median: middle number

3   3   4   5  5  9  

4 + 5 = 9

9 ÷ 2 = 4.5

4.83333 > 4.5 so the mean is greater than the median.

Hope that helps. :)

The standard form of a quadratic equation is ax^2 + bx+c =0. For
which of the following quadratic equations is a= -1 and C=0?

Answers

Answer

-x^2 + x = 0

Step-by-step explanation

Write all the quadratic equations in standard form:

X^2 -1 = ax^2 - c

-x^2 + 1 = -ax^2 + c

x^2 - x = ax^2 -bx (no c)

-x^2 + x = -ax^2 +bx (no c)

wuudxjwejd unm would iou hx

Answers

..................................

Answer:

PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Step-by-step explanation:

Which solid has a greater volume?
O A. Figure A has a greater volume.
75
O B. Figure B has a greater volume.
O C. They are equal.
OD. It cannot be determined.
SUBME

Answers

Answer:

C. they are eqwal

Step-by-step explanation:

I took the APE_X quiz

The volume of cone and cylinder are same or equal, so they are equal is correct.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

There are two figures one is cone and other is Cylinder.

The volume of cone can be find by using πr²h/3

r=5, h=6

Volume = π(25)(6)/3

=50π

Now to find volume of cylinder.

h=50 and r=1

Volume =  πr²h

=50π

the volumes are same for both cylinder and cone.

Hence, the volume of cone and cylinder are same or equal, so they are equal is correct.

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What are the domain and range of f(x) = 4x – 8? A. domain: {x | x is a real number}; range: {y | y > –8} B. domain: {x | x is a real number}; range: {y | y > 8} C. domain: {x | x > 4}; range: {y | y > –8} D. domain: {x | x > –4}; range: {y | y > 8}

Answers

Answer: Non of the options is correct.

Step-by-step explanation:

Domain of a function are the minimum and maximum values of independent variable (x).

You are given the function:

f(x) = 4x – 8

The domain can be any real numbers.

Range is the minimum to maximum value of dependent variable ( y )

From the given equation:

f(x) = 4x – 8

If the value of domain are substituted, the range will also be any real numbers.

Non of the answers is correct because both the domain and the range are all real numbers.

But the best option among the given option is option A:

domain: {x | x is a real number}; range: {y | y > –8}

Answer:

A on edg

Step-by-step explanation:

If f(x) = 1 – x, which value is equivalent to |f(i)|?l

Answers

Answer:

Square root ( 2 )

Step-by-step explanation:

We have to determine which value is equivalent to | f ( i ) | if the function is: f ( x ) = 1 - x. We know that for the complex number: z = a + b i , the absolute value is: | z | = sqrt( a^2 + b^2 ). In this case: | f ( i )| = | 1 - i |. So: a = 1, b = - 1. | f ( i ) | = sqrt ( 1^2 + ( - 1 )^2) = sqrt ( 1 + 1 ) = sqrt ( 2 ).  

Order of Operations (BEDMAS) with Fractions and Mixed Numbers Evaluate

Answers

BEDMAS

Brackets —> Exponents —> Division —> Multiplication —> Addition —> Subtraction

Is the order of operation.

Question 1

1/2 + 1/3 is down first (brackets)

Multiply both fractions to get same denominator

3/6 + 2/6

= 5/6

5/6 • 2/5 = 10/30

Answer is 1/3

Question 2

11/10 divided by 22/5 first (division)

11/10 divided by 22/5 is the same as multiplying 11/10 by the reciprocal of 22/5

So

11/10 • 5/22 = 1/4

5/16 - 1/4

Make denominators the same through multiplying the individual fractions

5/16 - 4/16

=1/16

Answer is 1/16

The student body of 205 wants to elect a president, vice president, and a secretary. Is an example of permutation or combination.

Answers

Answer:

Combination

Step-by-step explanation:

Permutation is likely used more for lists/ordered things.

Combination is used more for groups.

Since we are trying to elect a group of people (president, vice president, and secretary) out of 205 students, we use combination.

I WILL GIVE BRAINLIEST - There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can the 3-Senator committee be formed such that no two Senators are from the same state?

Answers

Answer:

You can choose one senator in 2 ways from the first of the 3 states; in 2 independent ways from the second of the 3 states; and in 2 independent ways from the third of the 3 states.

Step-by-step explanation:

So the answer to that question is 2*2*2*19600 which = 156800 ways.

what is 27/9?????????? help :) plz

Answers

Answer:

it is 3

Step-by-step explanation:

Answer:

3 yessirrr

Step-by-step explanation:

Algebra help needed

Answers

Answer: I had the same one

Step-by-step explanation: I DON'T GET IT EITHER

This is a math question. Solve for x - 5x = 15?

Answers

Answer:

x = -3.75

Step-by-step explanation:

First, combine like terms:

x - 5x = -4x

-4x = 15

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide -4 from both sides:

(-4x)/-4 = (15)/-4

x = 15/-4

x =  -3.75

-3.75 is your answer for x.

 ~

Answer:

x = -15/4

Step-by-step explanation:

x - 5x = 15

Combine like terms

-4x = 15

Divide each side by -4

-4x/-4 = 15/-4

x = -15/4

A line passes through the point (4, –2) and has a slope of One-half.

A coordinate plane.

What is the value of a if the point (–4, a) is also on the line?
–6
–5
5
6

Answers

Answer:

a = -6

Step-by-step explanation:

The given line in point-slope form is y + 2 = (1/2)(x - 4).

Replacing x with -4 yields                   y + 2 = (1/2)(-4 - 4)  =  (1/2)(-8)

Then y + 2 = -4, and so y = -6, or a = - 6.

Answer:

-6

Step-by-step explanation:

BRAINLIEST TO FIRST ANSWER PLEASEEE HELPPP!!! The dance team has 9 dancers to perform different roles in each performance. The probability that the team selects the same order as last performance is 1 divided by 362880 . Explain where each the numerator and denominator come from. What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position? Assume these are not the same people. Create a question, related to the dancers, where you use the indirect method, n(A’), to solve.

Answers

Answer:

P = 1 /362880

Where the numerator is the event of selecting the same order as last performance that is 1.

The denominator is the total number of possible events of selecting the 9 dancers.

p = 1/72

Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.

Step-by-step explanation:

The probability that the team selects the same order as last performance is 1 divided by 362880

Explain where each the numerator and denominator come from

The probability that the team selects the same order as last performance is

P = 1 /362880

Where the numerator is the event of selecting the same order as last performance that is 1.

The denominator is the total number of possible events of selecting the 9 dancers.

Total number of dancers = 9

The 1st dancer can be selected in 9 ways

The 2nd dancer can be selected in 8 ways

The 3rd dancer can be selected in 7 ways

The 4th dancer can be selected in 6 ways

The 5th dancer can be selected in 5 ways

The 6th dancer can be selected in 4 ways

The 7th dancer can be selected in 3 ways

The 8th dancer can be selected in 2 ways

The 9th dancer can be selected in 1 ways

So the total number of ways = 9×8×7×6×5×4×3×2×1 = 362880

What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position?

Lets us put the top hip hop dancer in the third position and top break dancer in the first position then the remaining 7 dancers can be selected in

7×6×5×4×3×2×1 = 5040 ways

So the required probability is,

P = 5040/362880

P = 1/72

P = 0.0139

Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.

There are several sets of different numbers which can be chosen from {0,1,2,3,4,5,6,7,8,9}. How many of these sets contain any 5 numbers?

Answers

Answer:

252 sets

Step-by-step explanation:

The set given to us is:

{0,1,2,3,4,5,6,7,8,9}

Total number of elements in set = n = 10

Number of elements to be included in seach set = r = 5

As the order doesn't matter, we can use the combination formula to find number of different combinations if we choose 5 numbers from the given 10 numbers with no repetition:

C(10,5) = 10!/(5!)(10-5)!

C(10,5) = 10!/(5!)(5!)

C(10,5) = 10·9·8·7·6/ 5·4·3·2·1

C(10,5) = 252

Thus 252 sets can be formed which contains any of the 5 numbers from the sets

Suppose that alpha is inversely proportional to beta. If alpha = -6 when beta = 12, find alpha when beta = -2.

Answers

Answer:

36

Step-by-step explanation:

Equation for an inversely proportional relation, where y is inversely proportional to x:

[tex] y = \dfrac{k}{x} [/tex]

Here we have:

[tex] \alpha = \dfrac{k}{\beta} [/tex]

We use the known ordered pair to find k.

[tex] -6 = \dfrac{k}{12} [/tex]

[tex] k = -72 [/tex]

The relation is:

[tex] \alpha = \dfrac{-72}{\beta} [/tex]

For beta = -2,

[tex] \alpha = \dfrac{-72}{-2} [/tex]

[tex] \alpha = 36 [/tex]

Aram's four children are now 1, 5, 7, and 9 years old. In how many years will the sum of the ages of two of his children be twice the sum of the ages of the other two children?

Answers

Answer:

In 2 years

Step-by-step explanation:

age right now 1,5,7,9

Let the number of years in which the sum of the ages of two of his children be twice the sum of the ages of the other two children=x

Therefore Age of the children after x years will be 1+x,5+x,7+x and 9+x

2[1+x + 5+x] = (7+x)+(9+x)

2[6+2x]= 7+9+x+x

12+4x=16+2x

4x-2x=16-12

2x=4

x=4/2=2

Let's verify if the answer is correct

-- Verify by substituting the value of x in this 2[1+x + 5+x] = (7+x)+(9+x)

2[1+2 + 5+2] = (7+2)+(9+2)

2[10]=9+11

20=20

Therefore 2 years is the answer

We are required to find the number of years when the ages of two of his children be twice the sum of the ages of the other two children?

The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years

Child 1 = 1 year

Child 2 = 5 years

Child 3 = 7 years

Child 4 = 9 years

let

x = number of years it will take for two of his children be twice the sum of the ages of the other two children

twice the age of the two younger children in the unknown year equal the age of the two older children in the unknown year

2{(1 + x) + (5 + x)} = (7 + x) + (9 + x)

2(1 + x + 5 + x) = 7 + x + 9 + x

2(6 + 2x) = 16 + 2x

12 + 4x = 16 + 2x

12 - 16 = 2x - 4x

-4 = - 2x

divide both sides by -2

-4 / -2 = x

x = 2

Therefore,

The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years

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Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

1/2n-7

(0×3)+4

(p×5)-2

7+r

s+7

10-t

u-10

2×v

w×2

x÷5

5÷y

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

14) 1/2n - 7

15) 3o + 4

16) 5p - 2

17) 7 + r

18) s + 7

19) t - 10

20) 10 - u

21) 2v

22) 2w

23) x ÷ 5

24) 5 ÷ y

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist?

Answers

Answer:

y will be in every single quadrant

Step-by-step explanation:

So we have the equation [tex]y\leq \frac{2}{7} x+1[/tex]  first we will have to look at the equation. It says that y is less than or equal to [tex]\frac{2}{7} x+1[/tex] since y is less than [tex]\frac{2}{7} x+1[/tex] the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way

what is the surface area ratio of similar solids who volume ratio is 13 8? Show work, please.

Answers

Answer:

5.53:4.

Step-by-step explanation:

The scale factor is ∛13 : ∛8.

The surface area ratio is the square of these.

= (∛13)^2 : (∛8)^2.

= 5.53 : 4

SOMEONE PLEASEEEEE HELLPPP !! The diameters of Breaburn apples are normally distributed with a mean of 8.2cm and a standard deviation of 2.8cm. If you had a shipment of 2000 apples, how many apples would have a diameter: a) smaller than 5.9cm? b) larger than 10.2cm?

Answers

Answer:

a. 412

b. 478

Step-by-step explanation:

We have to find the corresponding probabilities using the standard normal table, that is, we must calculate the value of z, the formula of z is as follows:

z = (x - m) / sd

where x is the value to evaluate, m is the mean and sd is the standard deviation.

We are told that the mean is 8.2 cm and the standard deviation is equal to 2.8 cm.

a. smaller than 5.9cm?

In this case x would be 5.9, we replace and we are left with:

z = (x - m) / sd

z = (5.9 - 8.2) /2.8

z = -0.82

If we look for this value in the normal table (attached) it corresponds to 0.2061, to know the number of apples we must multiply this value by the total value of apples, that is 2000. Therefore:

2000 * 0.2061 = 412.2 = 412

b) larger than 10.2cm?

In this case x would be 10.2, we replace and we are left with:

z = (x - m) / sd

z = (10.2 - 8.2) /2.8

z = 0.71

In this case z corresponds to 0.7611, but since this is the value is smaller than 10.2, and we need is larger than 10.2cm, it would be the complement, that is:

1 - 0.7611 = 0.2389

Now to calculate the total number of apples we have:

2000 * 0.2389 = 477.8 = 478

Please help me I give brainliest when I can

Answers

Answer: X=7 y=0

Step-by-step explanation:

first transfer the -6y over than multiply it by 2 so the x's are equal then subtract the bottom equation from top equation and you get y = 0 then solve each equation with y = 0 and you get x = 7

<!> Brainliest is appreciated! <!>

Answer:

y = 0

x = 7

Step-by-step explanation:

First substitute

[tex]First\\ substitute\\\\2(-6y+7)-9y=14\\\\Then \\ distribute\\\\-12y+14-9y=14\\\\Then\\ combine \\like \\terms\\-21y=0\\\\Then\\ divide\\y=0\\\\Then \\substitute\\x=-6(0)+7\\\\Then\\Distribute\\\\x=0+7\\\\Then\\combine\\like\\terms\\\\x=7\\[/tex]

Hope it helps <3

(Please give brainliest, this took forever :) )

Calculus.
Only need answer yo question number 30,14,10 pleassse

Answers

Answer:

See below in bold.

Step-by-step explanation:

14. f(x) = x^6 e^x

Applying the Product Rule:

f'(x) = x^6 e^x + 6x^5 e^x

= e^x(x^6 + 6x^5).

10. f(x) = x^3 - 4

y = x^3 - 4

x^3 = y + 4

x = ∛(y + 4)  so:

f-1(x) = ∛(x + 4).  (you are correct.)

30. 3 sinh 2

=  3(e^4 - 1) / 2 e^2

= 10.88058

= 10.881.

Find the slope of the line. m=

Answers

Answer:

the slope is 0

m= 0

Step-by-step explanation:

whenever a line is horizontal and straight across the plane the slope is 0

Answer:

m = 0

Step-by-step explanation:

slope can be found using the following equation:

m  (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-3 , -2)

(x₂ , y₂) = (1 , -2)

Plug in the corresponding numbers to the corresponding variables:

m =  (y₂ - y₁)/(x₂ - x₁) = (-2 - (-2))/(1 - (-3))

Simplify:

m = (-2 - (-2))/(1 - (-3)) = (-2 (+2))/(1 +3) = (-2 + 2)/(1 + 3)

m = (-2 + 2)/(1 + 3) = (0)/(4)

m = 0/4 = 0

The slope of the line is 0.

~

Find the number of 4-digit numbers that contain at least three even digits.

Answers

Answer:

4625 numbers

Step-by-step explanation:

To solve this problem we can separate it in different cases, and then we sum the amount of numbers of each case to find our final result.

The first case is: all four numbers are even.

We have 5 even digits, and the first digit of the 4-digit number can't be zero, so for the first digit we have 4 possible values, and for the other 3 digits we have 5 possible values, then the amount of numbers with this condition is:

[tex]N_1 = 4 * 5 * 5 * 5 = 500\ numbers[/tex]

The second case is the number having three even digits and one odd digit, and the first digit is the odd digit.

In this case, the first digit has 9 possible values (all digits but zero) and the other 3 digits have 5 possible values (even digits):

[tex]N_2 = 9 * 5 * 5 * 5 = 1125\ numbers[/tex]

The third case is the number having three even digits and one odd digit, and the first digit is not the odd digit.

In this case, the first digit has 4 possible values, the odd digit has 10 possible values and the other two digits have 5 possible values. The odd digit can be the second, the third or the fourth digit, so we multiply our result by 3 (because we will find the same result if we choose the odd digit to be the second, third or fourth):

[tex]N_3 = 3 * 4 * 10 * 5 * 5 = 3000\ numbers[/tex]

So the final result is the sum of these cases:

[tex]N = N_1 + N_2 + N_3[/tex]

[tex]N = 500 + 1125 + 3000 = 4625\ numbers[/tex]

The points plotted below are on the graph of a polynomial. Which of the following x-values best approximate roots of the polynomial? Check all that apply! I will mark as brainliest:D​

Answers

Answer:

(3/2, 0+), (-1, 0+)

Step-by-step explanation:

An exact "zero" of a polynomial is characterized by a point on the x-axis.  In this case the best approximation to that is the point (3/2, 0+); the next best approximation is (-1, 0+).  Note that neither of these two points actually lies on the x-axis, but that both are closer to the x-axis than are any of the other given points.

The x-values which best approximate roots of the polynomial are x=1.1 and x=4.1

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The roots of any polynomial can easily be determined by the graph. To find the roots from the graph, we just have to see the values of x, for which the value of whole polynomial becomes 0.

We can see in the graph that there are three points where the value of polynomial becomes 0.

The roots of a polynomial occur where the graph crosses the x-axis

x=1.1

x=4.1

Hence, the  x-values which best approximate roots of the polynomial are x=1.1 and x=4.1

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Select the correct answer from each drop down menu. AB is dilated by a scale factor of 3 to form A 1 B1. Point O, which lies on AB, is the center of dilation. The slope of AB is 3. The slope of A1 B1 is___. A1 B1 _____ through point O. Parramore Corp has $17 million of sales, $3 million of inventories, $4 million of receivables, and $3 million of payables. Its cost of goods sold is 65% of sales, and it finances working capital with bank loans at an 6% rate. Assume 365 days in year for your calculations. Do not round intermediate steps.What is Parramore's cash conversion cycle (CCC)? Do not round intermediate calculations. Round your answer to two decimal places. days Cycling your training to help account for shock, compensation, and exhaustion is an important part of periodization and refers to which principle? Find the value of the logarithm.log 210Round your answer to the nearest thousandth. the number 792 and 990, written as the product of their prime factors are 792 = 23 x 32 x 11 and 990 = 2 x 9 x 5 x 1. Hence, find the greatest whole number that can divide both 792 and 990 exactly. which element will have higher electronegativity A company purchased a commercial dishwasher by paying cash of $5,300. The dishwasher's fair value on the date of the purchase was $5,700. The company incurred $320 in transportation costs, $210 installation fees, and paid a $230 fine for illegal parking while the dishwasher was being delivered. For what amount will the company record the dishwasher Identify the subordinate clause for the sentence below. Since you've been gone, I've finished the book. A. you've been gone B. since you've been gone C. finished the book volume of a cube size 7cm This is an image of an event from World War I. A painting shows military officers and men in suits from different countries either seated or standing around a long table. There are papers and inkwells on the table. What event from the end of World War I does the image most likely depict? Kaiser Wilhelm II stepping down the armistice being signed Germany resisting the armistice prisoners of war being exchanged As steam is slowly injected into a turbine, the angular acceleration of the rotor is observed to increase linearly with the time t. Know that the rotor starts from rest at t = 0 and that after 10 s the rotor has completed 20 revolutions.Choose the correct equations of motion for the rotor. (You must provide an answer before moving on to the next part.) a) a = 2kt, w = 3kr, and 8 = 4kr b) a = {kt, w = ke?, and 0 = }ke? c) a = kr?, w = jke', and 0 = kr d) a = kt, w = jke?, and 0 kr In what way does this quote prove that Greece had a lasting impact on the world? Whats an constant in numbers What is the value of a? Which bone is indicated by the arrow in the diagram below? A diagram showing the appendicular skeleton. An arrow points to the bone in the lower arm closest to the body. humerus ulna radius clavicle Which expression represents the algebraic phrase twelve times the sum of a number and seven-tenths? 12 y + StartFraction 7 over 10 EndFraction 12 (y + StartFraction 7 over 10 EndFraction) StartFraction 7 over 10 EndFraction y + 12 y (StartFraction 7 over 10 EndFraction + 12) At noon, ship A is 120 km west of ship B. Ship A is sailing east at 20 km/h and ship B is sailing north at 15 km/h. How fast is the distance between the ships changing at 4:00 PM? A market maker faces the following demand and supply for widgets. Eleven buyers are willing to buy at the following prices: $15, $14, $13, $12, $11, $10, $9, $8, $7, $6, $5. Eleven sellers are also willing to sell at the same prices. How many transactions must the market maker make if he wants to maximize his profits? A graph is given to the right. a. Explain why the graph has at least one Euler path. b. Use trial and error or Fleury's Algorithm to find one such path starting at Upper A, with Upper D as the fourth and seventh vertex, and with Upper B as the fifth vertex. A C B D E A graph has 5 vertices labeled A through E and 7 edges. The edges are as follows: Upper A Upper C, Upper A Upper B, Upper A Upper D, Upper C Upper D, Upper C Upper E, Upper B Upper D, Upper D Upper E. a. Choose the correct explanation below. A. It has exactly two odd vertices. Your answer is correct.B. It has exactly two even vertices. C. It has more than two odd vertices. D. All graphs have at least one Euler path. b. Drag the letters representing the vertices given above to form the Euler path. How did most people in Latin America respond after facing the damages of Hurricane Mitch? A. People made no changes. B. People moved out of the region. C. People changed their building standards. D. People used foreign aid to educate their citizens about natural disasters