Find the total area for the shape!!

The expected characteristic path length (average distance) of a random network with 104 nodes and an average degree (k) of 10 is approximately 2.

The characteristic path length of a network measures the average distance between any two nodes in the network. For a random network, the expected characteristic path length can be approximated using the formula:

L ≈ ln(N) / ln(k),

where N is the number of nodes and k is the average degree.

Substituting N = 104 and k = 10 into the formula, we have:

L ≈ ln(104) / ln(10) ≈ 2.040

Rounding to the nearest integer, we get L ≈ 2.

Therefore, the expected characteristic path length of the network is approximately 2.

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Answer:

2.

Step-by-step explanation:

IM smart

Answer:

y = -4

Step-by-step explanation:

y = 6 is line that is parallel to x-axis

So, the required is also parallel to x -axis

The equation of line parallel to x-axis , y = c, where c is y-intercept

y = - 4

The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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Answer:

6 Hours

Step-by-step explanation:

17,100 - 6,300= 10,800

10,800/1,800 = 6

If the mean weight of 4 backfield members on the football team is 211lb and the mean weight of the 7 other players is 203lb, the mean weight of the 11-person team is 206lb.

The mean refers to the average of the data value.

The mean can be computed as the quotient of the total value divided by the number of items in the data set.

The mean weight of 4 backfield members on the football team = 211lb

The total weight of the 4 backfield members = 844lb (211 x 4)

mean weight of the 7 other players on the football team = 203lb

The total weight of the 7 other players = 1,421lb (203 x 7)

The total weight of the 11 football team members = 2,265lb (844 + 1,421)

The average or mean weight of the 11 members = 205.9lb (2,265 ÷ 11)

= 206lb

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The length of XZ is 3.2 cm.

If triangle ABC is similar to triangle XYZ, we can use the concept of proportional sides to find the length of XZ.

According to the given information:

AC = 10 cm

AB = 8 cm

XY = 4 cm

We need to find the length of XZ.

In similar triangles, corresponding sides are proportional. Therefore, we can set up a proportion:

AC/XY = AB/XZ

Substituting the given values, we have:

10/4 = 8/XZ

To find XZ, we can cross-multiply and solve for XZ:

10 * XZ = 4 * 8

10 * XZ = 32

Dividing both sides by 10, we get:

XZ = 32/10

XZ = 3.2 cm

Therefore, the length of XZ is 3.2 cm.

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Answer:

120 feet

Step-by-step explanation:

because 60 feet  x2 is 120

The distance between the first and the last tree is 132 feet.

An arithmetic progression(A.P.) is a series, where the difference between consecutive numbers is constant.

The first term of an A.P. is denoted by a, and the common difference is denoted by d.

The nth term of an A.P. series is found using the formula:

aₙ = a + (n-1)d.

The sum of n terms of an A.P. series is found using the formula:

Sₙ = (n/2)(2a + (n-1)d)

We are said that every tree is equally spaced. So the distance between the trees is in arithmetic progression.

With the first tree being at 0 feet from itself, our a = 0.

The distance from the first tree to the sixth tree is 60 feet, so we can say that the 6th term is 60

6th term = a + 5d

or, 60 = 0 + 5d

or, d = 60/5 = 12 feet.

To find the distance between the first tree and the last tree(12th tree), we will find the 12th term of the series,

12th term = a + (12-1)d = 0 + 11(12) = 132 feet.

∴ The distance in feet between the first and last tree is 132 feet.

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According to the information provided by the graph, it can be inferred that in town A there is a lower percentage (20%) than the national percentage of bicycles with off-road wheels, while in town B the percentage is higher (45%).

To calculate the percentage of bicycles with off-road wheels in each town, we must perform the following mathematical operation.

First we must add the number of bicycles of each type to know the total number of bicycles in the town:

Now we must calculate what percentage is equivalent to 3 bicycles with off-road wheels from town A and what percentage is equivalent to 9 bicycles with off-road wheels from town B.

15 ÷ 100 = 0.15

0.15 × 20 = 3

So, 3 bicycles with off-road wheels from town A are equivalent to 20% of the total number of bicycles.

Then the 9 bicycles with off-road wheels in town B are equivalent to 45% of the total number of bicycles.

According to the above, 20% of the bicycles in town A have off-road wheels, while 45% of the bicycles in town B have off-road wheels.

Note: This question is incomplete because there are some missing information. Here is the missing information.

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Answer: x = 2

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases.

3

2

x

−

1

=

3

3

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

2

x

−

1

=

3

Solve for

x

.

x

=

2

Answer: Width = 4.7 meters, Length = 6.7 meters

Step-by-step explanation:

Let the width be \(w\). It follows that the length is \(w+2\).

\(w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7\)

Answer:

600

Step-by-step explanation:

V = l * w * h

V = 10 * 3 * 20

V = 600

Answer:

V = 600 cm³

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = lbh ( l is length, b is breadth, h is height )

Here l = 10, b = 3 , h = 20 , then

V = 10 × 3 × 20 = 600 cm³

The expression for the length of the sail is x = 7( tan 50° ).

According to the given question.

The sail of a boat is in the shape of a right triangle.

And, the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long.

Now, the side that measures 7 meters would be the adjacent because its right next to the angle and its not the hypotenuse because its not the largest side

And, the side which we do not know the length to will be the opposite side because it is opposite from where the angle is.  

So, we have the the measure of the adjacent side and the angle of the tip. And we have to find the expression for the length of the sail.

Let the length of the sail be x meters.

Now, in the given right angled triangle

We can say that

tan A = Opposite side/Adjacent side

⇒ tan 50° = x/7

⇒ x = 7( tan 50° )

Hence, the expression for the length of the sail is x = 7( tan 50° ).

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The correct statement is that f′(−1.1) is less than f′(0.5) which is less than f′(1.4).

The derivative of a function, denoted by f′(x), is the rate at which the function value changes with respect to a change in the independent variable. In this case, the function is given by f(x) = 17x7 − 76x6 + 3x5 − 54x4 − 163x3 + 6x2. So, the derivative of this function can be computed as follows:

f′(x) = 119x6 − 456x5 + 15x4 − 216x3 − 489x2 + 12x

Now, let's evaluate the derivative for x = −1.1, 0.5, and 1.4. Firstly, for x = −1.1,

f′(−1.1) = 119(−1.1)6 − 456(−1.1)5 + 15(−1.1)4 − 216(−1.1)3 − 489(−1.1)2 + 12(−1.1)

= −1709.085

Next, for x = 0.5,

f′(0.5) = 119(0.5)6 − 456(0.5)5 + 15(0.5)4 − 216(0.5)3 − 489(0.5)2 + 12(0.5)

= 112.75

Finally, for x = 1.4,

f′(1.4) = 119(1.4)6 − 456(1.4)5 + 15(1.4)4 − 216(1.4)3 − 489(1.4)2 + 12(1.4)

= −914.56

Therefore, the correct statement is that f′(−1.1) is less than f′(0.5) which is less than f′(1.4).

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Answer:

Step-by-step explanation:

Given function is,

f(x) = 5x - 3

Where f(x) represents the output values and 'x' is the variable representing the input values.

For x = -2,

f(-2) = 5(-2) - 3

     = -13

For x = -1,

f(-1) = 5(-1) - 3

     = -8

For x = 0,

f(0) = 5(0) - 3

     = -3

For x = 1,

f(1) = 5(1) - 3

    = 2

For x = 2,

f(2) = 5(2) - 3

     = 7

For x = 3,

f(3) = 5(3) - 3

     = 12

Table for the input-output values will be,

x          -2           -1           0           1             2          3

f(x)      -13          -8         -3           2            7          12

Since the values of f(x) has a common difference of [-13 - (-8) = -5] negative five, given function will be a linear function.

The expression for the straight line distance between the first and third bases is d=s√2

Pythagorean theorem defines the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

The formula that defines the Pythagorean theorem:

c²=a²+b²

The distance from 1st base to 3rd base forms the hypotenuse of a right triangle, with each leg being equal to s, the side length of the square formed by the baseball diamond.  

Using the Pythagorean theorem we have: s²+s²=d²

where d is the distance from 1st to 3rd.

Combining like terms √2s²=d² ⇒2s²=d²

Taking the square root of both sides we have s√2=d

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Complete question:

A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is 1/6.How many Starburst are in the bucket?

Answer:

18

Step-by-step explanation:

Give the following :

Number of jolly ranchers = 24

Number of Hershey kisses = 18

Number of smarties = 12

Number of Starburst = s

Probability of pulling out a smarties ; P(smarties) = 1/6

Probability = required outcomes / total possible outcomes

Required outcome = 12

Total possible outcomes = (24 + 18 + 12 + s) = 54 + s

P(smarties) = 12 / (54 + s)

1/6 = 12 / 54 + s

1 × (54 + s) = 12 × 6

54 + s = 72

s = 72 - 54

s = 18

Hence number of smarties = 18

Answer:

Perimeter =20cm

Length =6

Breath = X

P= 2(l+b)

20 =2(6+x)

20=12+2x

20-12=2x

8=2x

x=8/2

x=4

Step-by-step explanation:

Answer:

The Width is 4cm

The Area is 24cm²

Step-by-step explanation:

2(6cm+xcm)=20

12+2x=20

(collect like terms)

2x=20-12

2x=8

(divide both sides by the coefficient of x)

2x=8

2 2

x=4cm is our width

so for the area our formular is L*B=6*4=24cm²

The edge length of the cube ice is 40 inches.

The surface area of the cube ice is 9600 inches²

The volume of a cube can be represented as follows:

where

L = length of cube

Therefore,

volume = 64,000

64000 = L³

L= ∛64,000

L = 40 inches

The surface are of a cube can be describe as follows:

Surface area = 6 × (40)²

Surface area = 6 × 1600

Surface area = 9600 inches²

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Answer:

The diameter of a hat is 4.7 inches, so the distance around the hat using π = 3.14 would be 14.76 inches (4.7 x 3.14).

A soda company with a can radius of 3 and one fourth cm needs to replace its label; if it touches end to end without overlap, then the length will be 143 over 28 cm (3 1/4 x 22 / 7).

The circumference of a circle in terms of π when there is segment drawn from one point on the circle through center to another point labeled 7 yards would be 21.98π yards (2x(radius)xπ or 2x7yards×3 .14 ).

Finally, for given 91 .688 millimeters as circumference ,the radius should equal 29 .2 mm ((91 688mm)/(2 × pi)).

The circumferences for the examples are 14.76 inches, 143/14 cm, 14π yards, and the radius is 14.6 mm. Circumference is calculated with 2*π*r.

The circumference of a circle is calculated using the formula 2* π * radius.

1. For the hat, the radius would be half the diameter, hence 4.7/2 = 2.35 inches. Substituting these values into the circumference formula gives 2*3.14*2.35 = 14.76 inches.

2. For the soda can, the circumference is 2*π*r = 2*(22/7)*(3 1/4) = 2*(22/7)* (13/4) = 143/14 cm.

3. For a circle with a radius of 7 yards, the circumference would be 2*π*7 = 14π yards.

4. If the circumference is given as 91.688 mm, and we need to find the radius, we rearrange the circumference formula to find radius = Circumference / (2* π) =  91.688 / (2 * 3.14) = 14.6 mm.

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Answer:

width = 8 inches

Step-by-step explanation:

⭐ What is the formula for the perimeter of a rectangle?

We are given that the length is 14 inches longer than the width, and the perimeter of the rectangle is 60 inches.

So, let's substitute these values into the perimeter formula and solve for the width. Let w = width.

\(60 = 2(14 + w) + 2(w)\)  Multiply the 2 into the parentheses

\(60 = 28 + 2w + 2w\)       Add like terms (terms with the same variable)

\(60 = 28 + 4w\)                Subtract 28 on both sides

\(32 = 4w\)                        Divide both sides by 4 to isolate the variable

\(8 = w\)

∴ The width is 8 inches.

Answer:

-40

Step-by-step explanation:

Just multiple the 2 numbers like usual than add the negative to your answer

Answer:

hope it helped you :))

Step-by-step explanation:

in image

The score needed on the final exam to achieve a C grade is 79.33, rounded to 2 decimal places.

Homework is worth 30% of the grade, which is also a significant portion. The average homework score is 90, which means the average of all homework scores is 90.

Test reviews are only worth 5% of the grade, so they have the smallest impact on the overall average. The average test review score is 72, which means the average of all test review scores is 72.

Finally, the final exam is worth 15% of the grade, and we need to find out what score is needed on the final exam to achieve a C grade, which is 72%.

To calculate the overall average, we can use the weighted average formula.

Overall Average = (Tests Average x 0.5) + (Homework Average x 0.3) + (Test Reviews Average x 0.05) + (Final Exam Score x 0.15)

Substituting the values we know, we get:

Overall Average = (59 x 0.5) + (90 x 0.3) + (72 x 0.05) + (Final Exam Score x 0.15)

Simplifying this equation, we get:

Overall Average = 29.5 + 27 + 3.6 + (Final Exam Score x 0.15)

Overall Average = 60.1 + (Final Exam Score x 0.15)

To get a C grade, the overall average needs to be 72%. So we can set up an equation and solve for the Final Exam Score:

72 = 60.1 + (Final Exam Score x 0.15)

Solving for Final Exam Score, we get:

Final Exam Score = (72 - 60.1) / 0.15

Final Exam Score = 79.33

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The percentage of the guests ordered food is 40%

"Information available from the question"

In the question:

There were 425 guests at a hotel. 170 guests ordered food.

To find the what percentage of the guests ordered food?

Now, According to the question:

Total guests in hotel is 425

and, 170 guests ordered food

=> Divide 170 by 425

= 170/ 425 = 0.4

The percentage of the guests ordered food:

=> 0.4 x 100 = 40%

Hence, The percentage of the guests ordered food is 40%

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The expression in factored form that has a b-value greater than 5 and a c-value of 1 when written in standard form is (2x + 1)(3x + 1/2) = 0.

In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0.

To check that this expression has a b-value greater than 5 and a c-value of 1 when written in standard form, we can expand it and compare it with the general form of a quadratic equation:

(2x + 1)(3x + 1/2) = 0

6x^2 + 4x + 1/2 = 0   (expanding)

Comparing this with the general form of a quadratic equation, \(ax^{2} + bx + c\) = 0, we can see that a = 6, b = 4, and c = 1/2. Since we want a c-value of 1, we can multiply both sides of the equation by 2 to get:

\(12x^2 + 8x + 1\) = 0

This is the standard form of the quadratic equation that corresponds to the factored expression we found earlier. As we can see, the c-value is now 1, as desired. Moreover, the b-value is 8, which is greater than 5, as required.

Therefore, the expression (2x + 1)(3x + 1/2) = 0 satisfies the given conditions.

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#b

\(\\ \rm\rightarrowtail tan47=\dfrac{b}{21}\)

\(\\ \rm\rightarrowtail b=21tan47\)

\(\\ \rm\rightarrowtail b=22.5\)

#c

\(\\ \rm\rightarrowtail cos47=\dfrac{21}{c}\)

\(\\ \rm\rightarrowtail c=21/cos47\)

\(\\ \rm\rightarrowtail c=30.88\)

Answer:

c = 30.8 (nearest tenth)

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute given values into the formula and solve for c:

⇒ 21² + 22.5² = c²

⇒ 947.25 = c²

⇒ c = ±√(947.25)

⇒ c = ±30.8 (nearest tenth)

As distance is positive, c = 30.8 (nearest tenth) only

Math SAT scores explain about 98.7% of the variation in the total SAT scores.

In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.

A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.

Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.

In context, math SAT score explains about 98.7% of the variation in total SAT score.

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The highest score obtained in this group of 12 scores is 19

What is the distribution in statistics?

In statistics, a distribution refers to the way in which a variable is spread out or distributed across different values. A distribution describes the probability of different outcomes for a variable, and can be visualized using graphs such as histograms, box plots, and probability density functions.

The distribution in Table 2-3 shows frequency (f) for different score ranges (x). Without knowing the exact scoring system, we can't say for certain what the highest score obtained in this group of 12 scores is. However, we can determine the upper limit of the highest score range by multiplying the upper limit of the range by its frequency:

Upper limit of 20-24 range = 24

Frequency of 20-24 range = 2

Upper limit of 15-19 range = 19

Frequency of 15-19 range = 5

Upper limit of 10-14 range = 14

Frequency of 10-14 range = 4

Upper limit of 5-9 range = 9

Frequency of 5-9 range = 1

To find the highest score, we need to determine the upper limit of the score range that has the highest frequency. In this case, the highest frequency is 5, which corresponds to the range 15-19.

Hence, the highest score range is 15-19, and the highest score within that range is the upper limit of that range, which is 19. So, the highest score obtained in this group of 12 scores is 19 (assuming the scoring system is such that higher scores correspond to higher ranges).

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