John and Robyn promised their three sons that they will each get to pick one spot within 500 miles of their home in City A to visit on their vacation. Scott chooses to visit City B so that he can visit some of the popular attractions there. Jacob chooses City C so he can visit a museum. Jevon chooses City D so that he can visit his grandparents. The approximate distances between these cities are as follows, City A to City B is 296 miles, City A to City C is 206 miles, City A to City D is 79 miles, City B to City C is 497 miles, City B to City D is 241 miles, and City C to City D is 281 miles.
Requried:
a. Represent this traveling salesman problem with a complete, weighted graph showing the distances on the appropriate edges. Lot Arepresent City A, B represent City B, C represent City C, and represent City D.
b. Use the brute force method to determine the shortest route for the family to complete their vacation.
Answers
Answer:
A) Weighted graph is attached
B) Shortest routes are;
1. A → C → B → D → A
2. A → D → B → C → A
Step-by-step explanation:
A) We are told their home is in City A. So that's where any journey will begin from.
Furthermore we are told that;
City A to City B = 296 miles
City A to City C = 206 miles
City A to City D = 79 miles
City B to City C = 497 miles
City B to City D = 241 miles
City C to City D = 281 miles.
I have attached an image of the weighted graph showing the distances on the appropriate edges.
B) We want to find the shortest route using Brute force method. The brute force method is by solving a particular problem by checking all the possible cases/routes to get the desired result we are looking for.
In this case, the desired result is the shortest route for the family to complete their vacation. So, i have attached a diagram showing the different routes via brute force method.
From the brute force method, the shortest length route is 1023 miles and this routes are from Cities;
1. A → C → B → D → A
2. A → D → B → C → A
Related Questions
If you can get an answer to any question, what would you ask? You toss a fair coin 4 times. What is the probability that (round to 4 decimal places) a) you get all Heads? b) you get at least one Tail?
Answers
Answers:
a) 0.0625
b) 0.9375
==================================================
Work Shown:
The probability of landing on heads is 1/2 = 0.5 since both sides are equally likely to land on. Getting 4 heads in a row is (1/2)^4 = (0.5)^4 = 0.0625
The event of getting at least one tail is the complement of getting all four heads. This is because you either get all four heads or you get at least one tail. One or the other must happen. We subtract the result we got from 1 to get 1-0.0625 = 0.9375
You can think of it like this
P(getting all four heads) + P(getting at least one tail) = 1
The phrasing "at least one tail" means "one tail or more".
if p+4/p-4, what is the value of p
Answers
Answer:
p = 2
Step-by-step explanation:
p + 4/p - 4
multiplying through by p,
p×p + 4/p ×p - 4×p
p² + 4 - 4p = 0
p² - 4p + 4 = 0
factorizing,
p(p - 2) -2(p - 2) =0
(p -2)(p -2) =0
p-2 =0
p=2
PLEASE HELP. FINAL TEST QUESTION!!!!
Devon is having difficulty determining if the relation given in an input-output table is a function. Explain why he is correct or incorrect.
Answers
Step-by-step explanation:
input x , output y
if x= x1 then y=y1 and y1 is the only value then it is a function
if we get multiple values of y then it is not a function
What is the complete factorization of x^2+4x-45?
Answers
Answer:(x-5)(x+9)
Step-by-step explanation:
You want two numbers that can give you -45 in multiplication and two numbers that can add to 4 and that is -5 and 9.
Answer: (x - 5)(x + 9)
If you have to solve, x=5 or x= -9
Step-by-step explanation: You need two numbers that multiply to be 45.
(could be 3 × 15 or 5 × 9) . The difference between the two factors needs to be 4, the coefficient of the middle term.
9 - 5 =4, so use those. -45 has a negative sign, so one of the factors must be + and the other - Since the 4 has the + sign, the larger factor has to be + so the difference will be positive.
So (x -5)(x + 9) are your factors. You can FOIL to be sure
x × x += x² . x × 9 = 9x . -5 × x = -5x . -5 × 9 = -45 .
Combine the x terms: 9x -5x = +4x
HELP PLEASE!!What method can you use to find the area of the composite figure. Check ALL that apply.
Answers
Answer:
C
Step-by-step explanation:
The reason we can use this method is because we are given a composite figure with a house shape with one triangle on top. We can use the guidance of the dotted lines to make out that a rectangle can be used to find the figure. We can see that apart from the figure, there are two congruent triangles. To find the area we would do -
First find the missing height of the smaller triangles. We would use the pythagorean theorem to find that the missing height is√5
We could do 8(4) = 32 to find the area of the rectangle.
Then, we could do 2√5/2 to find one missing triangle. We could then add the triangles to find the measures of the combined triangles as 2√5. Then, we could do 32 - 2√5 to find the area as 27.5.
Hope this helps :)
Answer:
it is A,B,D
Step-by-step explanation:
i got it right on edge
You buy six pens for $2.99 each, and sales tax is 10%. How much change should you receive from a clerk if you give her a $20 bill?
Answers
Answer:
$2.06
Step-by-step explanation:
$2.99 x 6 = $17.94
$20.00 - $17.94 = $2.06
Hope this helps
Answer: $0.26
Step-by-step explanation:
Cost of 6 pens
= 2.99 x 6
= 17.94
Add sales tax at 10%,
= 17.94 x 1.1
= 19.74
Change due to me
= 20 - 19.74
= 0.26
An election ballot asks voters to select six city commissioners from a group of 24 candidates in how many ways can this be done? Six city commissioners can be selected from a group of 24 candidates in blank different ways
Answers
Answer:
134,596 diffrent ways.
Step-by-step explanation:
Combination has to do with selection. When n object is to be selected from n objects, this can be achieved using the combination formula as shown; \
nCr = n!/(n-r)!r!
If an election ballot asks voters to select six city commissioners from a group of 24 candidates, then the selection can be done in 24C6 different ways.
Applying the formula above:
24C6 = 24!/(24-6)!6!
24C6 = 24!/18!6!
24C6 = 24*23*22*21*20*19*18!/18!*6*5*4*3*2
24C6 = 24*23*22*21*20*19/24*30
24C6 = 23*22*21*20*19/30
24C6 = 134,596 different ways.
Hence, Six city commissioners can be selected from a group of 24 candidates in 134,596 different ways
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
Please answer fast!!!!
Answers
Answer:
4
Step-by-step explanation:
We are told that figure B is a scaled copy of B, which means figure A was enlarged by a certain scale factor to get a similar figure as A, now referred to as figure B.
The scale factor = ratio of any two corresponding sides of both similar figures.
Thus,
Scale factor of the similar figures given = 40/10 = 4.
This means that, figure A was scaled up by 4 times its original size to get figure B. Each side of figure B is 4 × the corresponding side in figure A.
Scale factor = 4
Module 7
When you multiply a difference of two squares, why is your answer a binomial instead of a trinomial like when you multiply the sum of two squares? Create an example of multiplying a difference of two squares and show your work as you simplify the expression.
WILL GIVE BRAINLIEST
Answers
Answer:
When you multiply a difference of squares, two terms cancel each other out and result in a binomial instead of a trinomial. To understand this, you can use an example.
When you multiply (x-3) and (x+3), you can use FOIL to expand them. By doing this, you get x^2-3x+3x-9. As you can see, -3x and 3x cancel each other out, so this results in a binomial instead of a trinomial.
Answer:
when you multiply them the two terms cancel each other out which will result in a binominal
Step-by-step explanation:
Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square increasing when the area of the square is 36 cm2?
Answers
Each side of the square would have to be 6 cm to have an area of 36 cm^2. However, as a side can never be 0, and you never gave a starting size for the square, the question is unanswerable.
2{ 3[9 + 4(7 -5) - 4]}
Answers
Answer:
2{3[9+4(7-5)-4]}
2{3[9+4(2)-4]}
2{3[13(2)-4]}
2{3[26-4]}
2{3[22]}
2{66}
132
Step-by-step explanation:
I got the answer but I really don’t know if it’s correct or not, please help this is due today
Answers
Explanation: 180-52 = 128
So we have an equation:
2^3x+1=128 ( cuz they are in the same position)
Now we need to find what number that 2 raise to the power of that number is 128
And the answer is 2^7=128
Let’s go back to our equation:
2^3x+1=128
And we know that 2^7=128
Now we just have to make 3x+1=7:
3x+1=7
x=(7-1)/3
x=2
And there you have it x=2
If a baseball player has a batting average of 0.375, what is the probability that the player will get the following number of hits in the next four times at bat?
A. Exactly 2 hits(Round to 3 decimal places as needed)
B. At least 2 hits (Round to 3 decimal places as needed)
Answers
Answer:
a) [tex]P(X=2)=(4C2)(0.375)^2 (1-0.375)^{4-2}=0.330[/tex]
b) [tex]P(X\geq 2)=1-P(X< 2)=1-[P(X=0)+P(X=1)][/tex]
[tex]P(X=0)=(4C0)(0.375)^0 (1-0.375)^{4-0}=0.153[/tex]
[tex]P(X=1)=(4C1)(0.375)^1 (1-0.375)^{4-1}=0.366[/tex]
And replacing we got:
[tex]P(X\geq 2)=1-P(X< 2)=1-[0.153+0.366]=0.481[/tex]
Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
[tex]X \sim Binom(n=4, p=0.375)[/tex]
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
Part a
[tex]P(X=2)=(4C2)(0.375)^2 (1-0.375)^{4-2}=0.330[/tex]
Part b
[tex]P(X\geq 2)=1-P(X< 2)=1-[P(X=0)+P(X=1)][/tex]
[tex]P(X=0)=(4C0)(0.375)^0 (1-0.375)^{4-0}=0.153[/tex]
[tex]P(X=1)=(4C1)(0.375)^1 (1-0.375)^{4-1}=0.366[/tex]
And replacing we got:
[tex]P(X\geq 2)=1-P(X< 2)=1-[0.153+0.366]=0.481[/tex]
A superintendent of a school district conducted a survey to find out the level of job satisfaction among teachers. Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job.
z equals fraction numerator p with hat on top minus p over denominator square root of begin display style fraction numerator p q over denominator n end fraction end style end root end fraction
The superintendent wishes to construct a significance test for her data. She find that the proportion of satisfied teachers nationally is 18.4%.
What is the z-statistic for this data? Answer choices are rounded to the hundredths place.
a. 2.90
b. 1.15
c. 1.24
d. 0.61
Answers
Answer:
b. 1.15
Step-by-step explanation:
The z statistics is given by:
[tex]Z = \frac{X - p}{s}[/tex]
In which X is the found proportion, p is the expected proportion, and s, which is the standard error is [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job.
This means that [tex]X = \frac{13}{53} = 0.2453[/tex]
She find that the proportion of satisfied teachers nationally is 18.4%.
This means that [tex]p = 0.184[/tex]
Standard error:
p = 0.184, n = 53.
So
[tex]s = \sqrt{\frac{0.184*0.816}{53}} = 0.0532[/tex]
Z-statistic:
[tex]Z = \frac{X - p}{s}[/tex]
[tex]Z = \frac{0.2453 - 0.184}{0.0532}[/tex]
[tex]Z = 1.15[/tex]
The correct answer is:
b. 1.15
which point is a solution to the inequality shown in the graph? (3,2) (-3,-6)
Answers
The point that is a solution to the inequality shown in the graph is:
A. (0,5).
Which points are solutions to the inequality?The points that are on the region shaded in blue are solutions to the inequality.
(3,2) and (-3,-6) are on the dashed line, hence they are not solutions. Point (5,0) is to the right of the line, hence it is not a solution, and point (0,5) is a solution, meaning that option A is correct.
More can be learned about inequalities at https://brainly.com/question/25235995
#SPJ1
if jonny has 3 × 6 amounts of dish soap, how much dish soap does he have?!
a(I dont know)
b(18)
c(12)
d(6)
look up a skit called what's 6×3 before answering.
Answers
Answer: 18 (b)
Step-by-step explanation:
3x6=18
Answer:
18
Step-by-step explanation:
you can use a visual for a short answer or organize 3 dots in six groups, count in total
The two triangles are similar. What is the value of x? Enter your answer in the box. x =
Answers
Answer:
the value of x=12
Step-by-step explanation:
d) the answer is d on edg.
Let x=−1−5i and y=5−i. Find x⋅y.
Answers
Answer:
-10 -24i
Step-by-step explanation:
Note : i=√-1 (imaginary number)
i² = -1
xy
= (−1−5i)(5−i)
= -5 +i -25i +5i²
=-5 +i -25i + 5(-1)
= -5 +i -25i -5
= -5 -5 +i -25i
= -10 -24i
A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit. The value of x·y is (−10 −24i).
What is a complex number?A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = -1; every complex number may be represented as a + bi, where a and b are real numbers.
Given that x=−1−5i and y=5−i. Therefore, the value of x·y is,
x·y = (−1 −5i)(5-i)
= −5 + i −25i +5i²
= −5 −24i − 5
= −10 −24i
Hence, the value of x·y is (−10 −24i).
Learn more about Complex Number:
https://brainly.com/question/28007020
#SPJ2
A committee has ten members. There are two members that currently serve as the board's chairman and vice chairman. Each member is equally likely to serve in any of the positions. Two members are randomly selected and assigned to be the new chairman and vice chairman. What is the probability of randomly selecting the two members who currently hold the positions of chairman and vice chairman and reassigning them to their current positions?
Answers
Answer:
1/90 = 1.11%
Step-by-step explanation:
We have that the number of ways of total selections and assignments possible is a permutation.
We know that permutations are defined like this:
nPr = n! / (n-r)!
In our case n = 10 and r = 2, replacing:
10P2 = 10! / (10 - 2)! = 10! / 8!
10P2 = 90
In addition to this, there will only be one way to randomly select the two members currently holding the positions of President and Vice President and reassign them to their current positions. Thus,
Probability would come being the following:
P = 1/90 = 1.11%
Which of the following represents a coefficient from the expression given?
9x – 20 + x2
Answers
Answer:
1 or 9.
Step-by-step explanation:
A coefficient is "a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy)".
So, in this case, the coefficient of 9x would be 9.
The coefficient of x^2 would be 1.
Hope this helps!
In the given quadratic expression 9x - 20 + x, 1, 9, and -20 are the coefficients.
What are coefficients in a quadratic expression?In a quadratic expression of the standard form ax² + bx + c, x is the variable and a, b, and c are the numeric coefficients.
How to solve the given question?In the question, we are asked to identify the coefficients from the given quadratic expression 9x - 20 + x².
First, we try to express the given quadratic expression, 9x - 20 + x², in the standard form of a quadratic expression, ax² + bx + c.
Therefore, 9x - 20 + x² = x² + 9x - 20.
Comparing the expression x² + 9x - 20 with the standard form of a quadratic expression ax² + bx + c, we get a = 1, b = 9, c = -20.
We know that in a quadratic expression ax² + bx + c, x is the variable and a, b, and c are the numeric coefficients.
Thus, we can say that in the given quadratic expression 9x - 20 + x², 1, 9, and -20 are the coefficients.
Learn more about quadratic expressions at
https://brainly.com/question/1214333
#SPJ2
What is the solution to the system of equations x+y=10 and x+2y=4 using the linear combination method?
Answers
Answer:
The solution:
X = 16 and Y = -6
Step-by-step explanation:
The equations to be solved are:
x+y = 10 ------- equation 1
x+2y = 4 ----------- equation 2
we can multiply equation 1 by -1 to make the value of x and y negative.
This will give us
-x- y = - 10 ------- equation 3
x+2y = 4 ----------- equation 2
We will now add equations 3 and 2 together so that x will cancel itself out.
this will give us
y = -10 +4 = -6
hence, we have the value of y as -6.
To get the value of x, we can put this value of y into any of the equations above. (I will use equation 1)
x - 6 = 10
from this, we have that x = 4
Therefore, we have our answer as
X = 16 and Y = -6
If 16 student drove to school out of a class of 21, what percentage drove to school
Answers
Your answer would be 76.2% to the nearest tenth.
We can find this by first dividing 16 by 21 to get 0.7619. which is the proportion as a decimal. To convert this into a percentage, we need to multiply it by 100 to get 76.19% = 76.2% to the nearest tenth.
I hope this helps! Let me know if you have any questions :)
Evaluate the expression.........
Answers
Answer:
9
Step-by-step explanation:
p^2 -4p +4
Let p = -1
(-1)^1 -4(-1) +4
1 +4+4
9
34% of U.S. adults have very little confidence in newspapers. You randomly select eight U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly six, (b) at least four, and (c) less than five.
Answers
F =9/5 C + 32 A) constants B) units C) variables D) numbers
Answers
Answer:
a) 32
b) none?
c) C & F
D) 9/5, 32?
Step-by-step explanation:
What is the volume of a cubed shaped box with edges 6 cm. in length?
Answers
Answer:
216 cm³
Step-by-step explanation:
The volume of a cube is denoted by V = s³, where s is the side length.
Here, the side length is 6 centimetres, so plug this into the formula to find V:
V = s³
V = 6³ = 6 * 6 * 6 = 216
The answer is thus 216 cm³.
~ an aesthetics lover
Answer:
216
Step-by-step explanation:
6³ = 216
Sameer chose 12 different toppings for his frozen yogurt sundae, which was Three-fourths of the total number of different toppings available at the make-your-own sundae shop. To determine the number of different toppings available at the shop, Sameer set up and solved the equation as shown below.
Three-fourths = StartFraction x over 12 EndFraction. Three-fourths (12) = StartFraction x over 12 EndFraction (12). 9 = x.
Which best describes the error that Sameer made?
Sameer did not use the correct equation to model the given information.
Sameer should have multiplied both sides of the equation by Four-thirds instead of by 12.
The product of Three-fourths(12) is not equal to 9.
The product of Four-thirds and StartFraction 1 over 12 EndFraction should have been the value of x.
Answers
Answer: B. Sameer did not use the correct equation
Step-by-step explanation:
12 IS three-fourths OF x
IS: equals
OF: multiplication
[tex]12=\dfrac{3}{4}x[/tex]
48 = 3x
16 = x
Answer:
it's b in Edg
Step-by-step explanation:
1) Suppose that a function f(x) is defined for all real values of x, except x = xo. Can anything be said about LaTeX: \displaystyle\lim\limits_{x\to x_0} f(x)lim x → x 0 f ( x )? Give reasons for your answer.
Answers
Answer:
Ok, we have that f(x) is defined for all real values of x, except for x = x0.
[tex]\lim_{x \to \ x0} f(x)[/tex]
Does it exist? why?
Remember that when we are taking the limit we are not evaluating the function in x0, instead, we are evaluating the function in values really close to x0 (values defined as x0⁺ and x0⁻, where the sign defines if we approach from above or bellow).
And because f(x) is defined in the values of x near x0, we can conclude that the limit does exist if:
[tex]\lim_{x \to \x0+} f(x) = \lim_{x \to \x0-} f(x)[/tex]
if that does not happen, like in f(x) = 1/x where x0 = 0
where the lower limit is negative and the upper limit is positive, we have that the limit does not converge.
Which angles are pairs of alternate exterior angles
Answers
Answer:
when a straight line cuts two or more parallel lines then the angles forming on the side of transversal line exteriorly opposite to eachother is called exterior alternative angle.
for eg if AB //CD and EF is a transversal line meeting the parallel lines at G abd H then the exterior alternative angle are angle EGB = angle CHF and angle AGE=angle DHF are two pairs of exterior alternative angle .
hope its helpful to uh !!!!!!
The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean of 3.2 pounds and standard deviation of 0.8 pound. If a sample of 4 fish is taken. What is the probability that the sample means will be more than 3.4 pounds?
Answers
Answer:
[tex]P(\bar X>3.4) = 0.385[/tex]
Step-by-step explanation:
Relevant Data provided according to the question is as follows
[tex]\mu[/tex] = 3.2
[tex]\sigma[/tex] = 0.8
n = 4
According to the given scenario the calculation of probability that the sample means will be more than 3.4 pounds is shown below:-
[tex]z = \frac{\bar X - \mu}{\frac{a}{\sqrt{n} } }[/tex]
[tex]P(\bar X>3.4) = 1 - P(\bar X\leq 3.4)[/tex]
[tex]= 1 - P \frac{\bar X - \sigma}{\frac{a}{\sqrt{n} } } \leq \frac{3.4 - \sigma}{\frac{a}\sqrt{n} }[/tex]
Now, we will solve the formula to reach the probability that is
[tex]= 1 - P \frac{\bar X - 3.2}{\frac{0.8}{\sqrt{4} } } \leq \frac{3.4 - 3.2}{\frac{0.8}\sqrt{4} }[/tex]
[tex]= 1 - P (Z \leq \frac{0.2}{0.4})[/tex]
[tex]= 1 - P (Z \leq 0.5})[/tex]
[tex]= 1 - \phi (0.5)[/tex]
= 1 - 0.6915
= 0.385
Therefore the correct answer is
[tex]P(\bar X>3.4) = 0.385[/tex]
So, for computing the probability we simply applied the above formula.
Answer:
its 21
Step-by-step explanation:
its not 21 i really dont know