Rebecca saves $2980. Sebastian saves $345 less than Rebecca

The vertices that produces the circuit of lowest cost is A and D. So, the correct answer is A) and D).

To apply the repeated nearest neighbor algorithm, we need to start at a vertex and repeatedly choose the nearest neighbor until all vertices have been visited. Then, we return to the starting vertex to complete the circuit.

Starting at vertex A, we can follow the path A-DE-BE-C-AD-BC-E-A. The total cost of this circuit is 3 + 1 + 13 + 7 + 6 + 5 + 3 = 38. Starting at vertex B, we can follow the path B-E-DE-BC-AD-C-A-B. The total cost of this circuit is 1 + 3 + 7 + 6 + 5 + 15 + 10 = 47.

Starting at vertex C, we can follow the path C-BC-AD-DE-E-B-CA-C. The total cost of this circuit is 5 + 6 + 1 + 13 + 3 + 15 = 43. Starting at vertex D, we can follow the path D-AD-BC-C-E-DE-BD-DA. The total cost of this circuit is 6 + 5 + 7 + 3 + 10 + 11 = 42.

Starting at vertex E, we can follow the path E-DE-BE-C-BC-AD-CA-E. The total cost of this circuit is 1 + 13 + 7 + 5 + 6 + 15 = 47. Therefore, the circuits with the lowest cost are those starting at vertex A and vertex D, both with a total cost of 38 and 42 respectively. So, the correct option is A) and D).

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Answer:

125°

Step-by-step explanation:

This geometric has 6 angles and as given the sum of interior angles for this shape is (6 - 2) × 180

4 × 180 = 720

117 + 124 + 102 + 145 + 107 + x = 720

595 + x = 720

x = 125

The unit of the rate of change is (b) dollars per month

From the question, we have the following parameters that can be used in our computation:

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

substitute the known values in the above equation, so, we have the following representation

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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Answer:

{3, 3, 6, 7, 9}

Option A correctly describes the area of the graph of the function.

How is an area of the graph calculated?

The area of a graph is the area under the function curve enclosed within the X-axis of the graph. Thus, it is the area of the figure formed by enclosing the function graph with the X-axis.

It is the integration of the function polynomial of the possible values of x that the function curve lies in.

Here the function equation is : \(f(x) = ( 25 - x^{2} )\)

From the figure, we can see that the value of x varies from -5 to 5.

Initial x-value of integration = minimum value of x

                                          = -5

Final x-value of integration = maximum value of x

                                          = 5

Thus, the area of the graph can be correctly calculated as. :

               \(Area = \int\limits^{maxX}_ {minX} \, f(x)dx\)

               \(Area = \int\limits^5_ {-5} \, (25-x^{2} )dx\)

Hence, Option A correctly calculates the area of the graph given.

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Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:

y = (9/7)x + 25/7.

Step-by-step explanation:Step 1: Find the midpoint of the line segment.

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:

Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)

Midpoint = (-4 / 2, 2 / 2)

Midpoint = (-2, 1)

So, the midpoint of the line segment is (-2, 1).

Step 2: Write the equation of the line using the slope-intercept form.

The slope-intercept form of a line is given by:

y = mx + b

where m is the slope and b is the y-intercept.

Given the slope as 9/7, we have:

y = (9/7)x + b

Step 3: Substitute the coordinates of the midpoint to find the value of b.

Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:

1 = (9/7)(-2) + b

1 = -18/7 + b

To find the value of b, we can solve this equation:

1 + 18/7 = b

25/7 = b

Step 4: Write the final equation of the line.

Using the value of b, the equation becomes:

y = (9/7)x + 25/7

Answer:

oh! I once had this, the answer is a number that is divisible by 6 is also divisible by 2 and 3 because 2 and 3 are factors of 6.

Answer:

Step-by-step explanation:

What was it

Answer:

90 games

Step-by-step explanation:

because 1 team plays 9 game so all team plays 90 games

Answer:

45

Step-by-step explanation:

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45

Answer:

What are the coordinates of point P after a counterclockwise rotation of 90°?

Step-by-step explanation:

Answer:

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

Step-by-step explanation:

Suppose that, in the past, 40% of all adults favored capital punishment. Test if the proportion has increased:

At the null hypothesis, we test if the proportion is still of 40%, that is:

\(H_0: p = 0.4\)

At the alternative hypothesis, we test if the proportion has increased, that is, is greater than 40%, so:

\(H_1: p > 0.4\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that \(\mu = 0.4, \sigma = \sqrt{0.4*0.6}\)

Random sample of 15 adults, 8 favor capital punishment.

This means that \(n = 15, X = \frac{8}{15} = 0.5333\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.5333 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{15}}}\)

\(z = 1.05\)

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion of 0.5333 or more, which is 1 subtracted by the p-value of z = 1.05.

Looking at the z-table, z = 1.05 has a p-value of 0.8531.

1 - 0.8531 = 0.1469.

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

Answer:

72 miles

Step-by-step explanation:

18x2x2

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

M(-1, -1)

Step-by-step explanation:

\(\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )}\)

Using the midpoint formula above,

\(M = ( \frac{3 - 5}{2} , \frac{2 - 4}{2} ) \\ M = ( \frac{ - 2}{2} , \frac{ - 2}{2} ) \\ M = ( - 1, - 1)\)

The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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\(f(x)=x^2+2x\hspace{5em}g(x)=x+4 \\\\\\ (f\circ g)(2)\implies f(~~g(2)~~)\hspace{5em}(g\circ f)(2)\implies g(~~f(2)~~) \\\\[-0.35em] ~\dotfill\\\\ g(2)=(2)+4\implies g(2)=6 \\\\\\ f(~~g(2)~~)\implies f(6)\implies (6)^2+2(6)\implies \text{\LARGE 48} \\\\[-0.35em] ~\dotfill\\\\ f(2)=(2)^2+2(2)\implies f(2)=8 \\\\\\ g(~~f(2)~~)\implies g(8)\implies (8)+4\implies \text{\LARGE 12}\)

Answer:

r u up and I have completed the quilt show you the place is still available up

Step-by-step explanation:

kids and the kids and the kid

Answer:

I think it's 80!

Step-by-step explanation:

4x4 twice = 32

3x4 4 times = 48

so it should be 80

Answer:

  80 m²

Step-by-step explanation:

You want the surface area of a cuboid with dimensions 3 m, 4 m, and 4 m.

The area of the cuboid can be found using the formula ...

  A = 2(LW +WH +LH)

This can be simplified slightly to ...

  A = 2(LW +H(L +W))

For the given dimensions, we find the area to be ...

  A = 2(3·4 +4(3 +4)) = 2(12 +4(7)) = 80 . . . . square meters

The surface area of the cuboid is 80 square meters.

<95141404393>

Answer:

  see attached for a sketch

  area = 5 1/3 square units

Step-by-step explanation:

You want the area under the square root curve, above y=0, from x=0 to x=4.

The area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...

  dA = (√x)dx

  A = ∫(√x)dx

The power rule can be used for the integration:

  \(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)

The area of the region is 5 1/3 square units.

__

Additional comment

You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.

This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.

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Answer:  y = (2/3)x + 7

Step-by-step explanation:

Slope intercept form is usually write as y = mx + b, where m is the slope, b is the y-intercept.

(-6,3): -6 is the x, 3 is the y.

To solve b, we plug in x, y and m into the equation:

y = mx + b

3 = (2/3)(-6) + b

3 = -4 + b

7 = b

Then we plug m and b in, we get:

y = mx + b

y = (2/3)x + 7

If a random number generator is used to select an integer from 1 to 100, then the probability of selecting the integer 730 is zero.

Here a random number generator is used to select an integer from 1 to 100.

Therefore the range of the outcome = 1 to 100

Here we have to find the probability of selecting the integer 730

The probability = Number of favorable outcomes / Total number of outcomes.

Here a random number generator is used to select an integer from 1 to 100, but the given number is 730  which is out of range. Therefore the probability is zero

Hence, if a random number generator is used to select an integer from 1 to 100, then the probability of selecting the integer 730 is zero.

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Answer:

Step-by-step explanation:

a traingle because it doesnt use any rectangular faces it only uses traingular forms or even a speer a speer has no rectangular sides

Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)

Answer:

which grade do you want to get helped by ?

Answer:

n=42

Step-by-step explanation:

1/2n=21

2•(1/2n=21)

n=42

Answer:

1/2n=21

Multiply by 2 on both sides to get a whole number co-efficient.

1/2(2)n=21(2)

n=42

So, n is equal to 42.

:)

Answer:

3 7/12

Step-by-step explanation:

Answer: 3.5833333

Step-by-step explanation: 5/6+2 3/4 = 3.5833333

Hope this helps, have a great day! Good luck, bye.

Answer:

The solutions to the system of equations are:

\(x=\frac{1}{2},\:y=5\)

Step-by-step explanation:

Given the system of the equations

\(\begin{bmatrix}4x-3y=-13\\ -2x+y=4\end{bmatrix}\)

Isolate x for for 4x-3y=-13

\(4x-3y=-13\)

\(4x=-13+3y\)

Divide both sides by 4

\(x=\frac{-13+3y}{4}\)

substitute y=5

\(x=\frac{-13+3\cdot \:5}{4}\)

\(x=\frac{1}{2}\)

The solutions to the system of equations are:

\(x=\frac{1}{2},\:y=5\)