4(g- h) + 10, when g=12, h=7

The volume of cut = 1000.66 Cu. Yd. The volume of fill = 518.6 Cu. Yd.

Step 1: Calculation of cross sectional area of each segment of the road:Cross sectional area of road = Area at station x 27.77 (width of road)Segment Station Area Cut Area Fill Cross sectional area of road 1 12+25 185 sq.ft. 0 sq.ft. 5129.45 sq.ft. 2 12+75 165 sq.ft. 190 sq.ft. 5457.15 sq.ft. 3 13+25 106 sq.ft. 61 sq.ft. 3992.62 sq.ft. 4 13+50 0 sq.ft. 213 sq.ft. 5905.01 sq.ft. 5 14+25 286 sq.ft. 0 sq.ft. 7940.82 sq.ft. 6 14+75 338 sq.ft. 0 sq.ft. 9382.53 sq.ft.Step 2: Calculation of average end area:Average end area = [(Area of cut at station 1 + Area of fill at last station)/2]Segment Area of Cut at station 1 .

Area of fill at last station Average end area 1 185 sq.ft. 190 sq.ft. 187.5 sq.ft. 2 165 sq.ft. 0 sq.ft. 82.5 sq.ft. 3 106 sq.ft. 213 sq.ft. 159.5 sq.ft. 4 0 sq.ft. 0 sq.ft. 0 sq.ft. 5 286 sq.ft. 0 sq.ft. 143 sq.ft. 6 338 sq.ft. 0 sq.ft. 169 sq.ft.Step 3: Calculation of volume of cut and fill for each segment of the road:Volume of cut = Area of cut x Length of segment x 1/27Volume of fill = Area of fill x Length of segment x 1/27

Segment Area of cut at station 1 Area of fill at last station Average end area Length of segment Volume of cut Volume of fill 1 185 sq.ft. 190 sq.ft. 187.5 sq.ft. 50 ft 347.22 Cu. Yd. 355.91 Cu. Yd. 2 165 sq.ft. 0 sq.ft. 82.5 sq.ft. 50 ft 154.1 Cu. Yd. 0 Cu. Yd. 3 106 sq.ft. 213 sq.ft. 159.5 sq.ft. 25 ft 80.57 Cu. Yd. 162.69 Cu. Yd. 4 0 sq.ft. 0 sq.ft. 0 sq.ft. 25 ft 0 Cu. Yd. 0 Cu. Yd. 5 286 sq.ft. 0 sq.ft. 143 sq.ft. 50 ft 268.06 Cu. Yd. 0 Cu. Yd. 6 338 sq.ft. 0 sq.ft. 169 sq.ft. 25 ft 160.71 Cu. Yd. 0 Cu. Yd.

Total Volume of Cut = 1000.66 Cu. Yd.Total Volume of Fill = 518.6 Cu. Yd.

Summary: The volume of cut = 1000.66 Cu. Yd. The volume of fill = 518.6 Cu. Yd.

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The present ages of Raj and his daughter are respectively: 42 years and 12 years.

Present Age of Raj =y years

Present Age of daughter =x years

According to Question :

7 Years ago,

y − 7 = 7(x − 7)

⇒ 7x − y − 42 = 0.............(1)

And 3 Years from now

y + 3 = 3(x + 3)

⇒ 3x − y + 6 = 0............(2)

From eq (1) and eq (2)

Subtract eq 2 from eq 1 to get:

7x − 3x − y + y − 42 − 6 = 0

⇒ 4x = 48

⇒ x = 12

Putting x = 12 in Equation (2). we get,

(3 × 12) − y + 6 = 0

⇒ y = 42

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This sentence is False, when the sample size is small, the sample percentage may not be equal to the population percentage.

In demographics, the sector population is the overall quantity of human beings presently residing. It turned into predicted by the United countries to have exceeded eight billion in November 2022. It took over 2 hundred,000 years of human prehistory and history for the human populace to attain one billion and only 219 years extra to attain 8 billion.

The human population experienced a non-stop boom following the Great Famine of 1315–1317 and the end of the Black dying in 1350 when it became nearly 370,000,000. the very best worldwide populace growth quotes, with increases of over 1.8% in line with 12 months, took place between 1955 and 1975, peaking at 2.1% between 1965 and 1970. The increased charge declined to one.1% between 2015 and 2020 and is projected to say no further within the twenty-first century. the worldwide population continues to increase, however, there's sizable uncertainty approximately its long-term trajectory due to converting fertility and mortality fees. The UN Department of Economics and Social Affairs tasks between 9 and 10 billion people by 2050 and offers an 80% self-assurance c language of 10–12 billion by using the cease of the twenty-first century, with a growth charge by using then of zero. other demographers are expecting that the human populace will start to decline in the 2d half of the 21st century.

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The LU decomposition of the given matrix A is:

L = [1 0 0]

[0 -3 1]

[5 6 1]

U = [2 0 0]

[0 1 1]

[0 0 -2]

In the LU decomposition, matrix A is decomposed into two separate matrices: L (lower triangular matrix) and U (upper triangular matrix).

The lower triangular matrix L is constructed in such a way that it has ones on its main diagonal and the entries below the main diagonal correspond to the multipliers used during the elimination process to obtain the upper triangular matrix U. In this case, the entries of L are obtained as follows: L[3,1] = 5, L[3,2] = 6, and all other entries of L are zero.

The upper triangular matrix U is obtained by performing Gaussian elimination on matrix A. It has zeros below the main diagonal and its entries are the values obtained after the elimination process. In this case, the entries of U are: U[1,1] = 2, U[2,2] = 1, U[2,3] = 1, U[3,3] = -2, and all other entries of U are zero.

The LU decomposition is useful for solving systems of linear equations and for performing matrix operations more efficiently. By decomposing matrix A into L and U, we can easily solve systems of equations or perform matrix operations by solving two simpler systems of equations (Ly = b and Ux = y) rather than directly operating on matrix A.

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The stated statement states that 139 of said animals Margie counted had two legs, mostly two-legged birds.

An arithmetic value used to compute and portray a quantity would be a number. In writing, numerical symbols like "3" are used to represent numbers. A decoder is a logical approach the portray a number using digits or symbols.

Assume that there are x two-legged birds and y four-legged animals. Now, we can employ equation systems to find a solution to this issue.

Enter two equations here:

2x + 4y = 522

x + y = 200

Add two to the latter equation now.

2x + 4y = 522

2x + 2y = 400

We discover that; by deducting the following equations from the first equation.

2y = 122

y = 61

There were 139 two-legged birds due to the 200 heads, which indicated a total of 200 animals.

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The complete question is-

The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds?

A). 61

B). 122

C). 139

D). 150

E). 161

Answer:

8

Step-by-step explanation:

The equation of the parabola can be represented as

\(y = a(x + 1)(x - 5)\)

for some constant a.

Since the coefficient of x² is 2, a = 2, so

\(y = 2(x + 1)(x - 5) \\ \\ y = 2( {x}^{2} - 4x + 5) \\ \\ y = 2 {x}^{2} - 8x + 10\)

So, the answer is 8.

Answer:

C

Step-by-step explanation:

(4/3)/(2/5) =(1/x)

(4/3x) = 2/5

x = (2/5)(3/4)

x= 6/20 or 3/10

a. 44.4% of the time each service desk is idle.

b. The probability that both service clerks are busy is 0.22 or 22%.

c. The probability that both service clerks are idle is 11.1%.

d. On average, 0.67 customers are waiting in line in front of each service desk.

e. A customer takes, on average, 5.33 minutes to get serviced from the moment they join the queue (i.e., waiting plus service time).

a) The arrival rate is 1 customer every 6 minutes. Therefore, 10 customers arrive at each service desk every hour. The service rate is 1 customer every 4 minutes, which means that a service desk can handle 15 customers every hour.

The utilization rate of each service desk = arrival rate/service rate = (10/60) ÷ (15/60) = 2/3 Average number of customers in the system at any time (queue + service) = utilization/(1 - utilization) = (2/3)/(1 - 2/3) = 2

Therefore, the average number of customers in the queue is the average number of customers in the system minus the average number of customers in service:Average number of customers in the queue = 2 - 2 = 0

Therefore, each service desk is idle for 60% - 15.6% = 44.4% of the time.

b) The probability of a service desk being busy is equal to its utilization rate = 2/3.

Therefore, the probability of both service clerks being busy is:P(both busy) = (2/3)² = 4/9 = 0.44

c) The probability of a service desk being idle is equal to 1 - utilization rate = 1 - 2/3 = 1/3.

Therefore, the probability of both service clerks being idle is:P(both idle) = (1/3)² = 1/9 = 0.11 or 11%.

d) We can use Little's Law to calculate the average number of customers in the queue:

Average number of customers in the queue = arrival rate x average waiting time in queue Average waiting time in queue = average number of customers in queue / arrival rate = 0 / (10/60) = 0 Average number of customers in the queue = 0 Therefore, on average, 0.67 customers are waiting in line in front of each service desk.

e) The average time a customer spends in the system (waiting + service) is equal to the average number of customers in the system divided by the arrival rate:

Average time in system = average number of customers in system / arrival rate Average number of customers in system = utilization/(1 - utilization) = (2/3)/(1 - 2/3) = 2 Average time in system = 2 / (10/60) = 12/10 = 1.2 minutes = 72 seconds The service time is 4 minutes. Therefore, the average waiting time is:

Average waiting time = average time in system - service time = 1.2 - 4 = -2.8 minutes We can't have negative waiting time, so the actual waiting time is 0.

Therefore, a customer takes, on average, 5.33 minutes (4 minutes of service + 1.33 minutes of waiting) to get serviced from the moment they join the queue.

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Answer:

5

Step-by-step explanation:

5 is in the middle between each set of numbers making it the intersecting number

Answer:

f(0) = 1

Step-by-step explanation:

When x is 0, y is 1

The probability that Z is less than -0.33 is approximately 0.3707, or 37.07% rounded to two decimal places.

To find the probability that the standard normal random variable Z is less than -0.33, we can use a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find the corresponding area to the left of -0.33. This area represents the probability that Z is less than -0.33.

The probability can be written as:

P(Z < -0.33)

Looking up the value in the table, we find that the area to the left of -0.33 is approximately 0.3707.

Therefore, the probability that Z is less than -0.33 is approximately 0.3707, or 37.07% rounded to two decimal places.

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A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

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Answer:

Given:

Length = 3x m

Breadth = 2x m

Perimeter = 250m

Need to find:

The value of x=?

Solution:

We know,

Perimeter of rectangle = 2×(length + breadth)

Substitute the values!

→ 250m = 2 ×( 3x + 2x) m

→ 250 = 2 × 5x

→ 10x = 250

→ x = 25

━━━━━━━━━━━━

━━━━━━━━━━━━━━━━━━

Knowledge cell:

Area of a rectangle = Length × Breadth

Area of square = Side × Side

Area of rhombus=

Perimeter of square = 4× side

Area of trapizium =

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

V ≈ 2,048 ft^3

Hope this helps :)

Step-by-step explanation:

The symbol ^ means raised to a power.

Formula for Volume of Sphere - V = 4/3 π r^3

1. To find the volume of a sphere, first find the radius with the given diameter 16.

16 ÷ 2 = 8

Radius = 8

2. Substitute r for 8 and solve, and 3 will be used for π.

V ≈ 4/3 • 3 • 8^3

V ≈ 4/3 • 3 • 512

V ≈ 4/3 • 1536

V ≈ 6144/3

V ≈ 2,048

the partial regression coefficients in a multiple regression model represent the expected change in the dependent variable associated with a unit change in the corresponding independent variable, holding other variables constant.

In the context of the three-variable model Yt = α1 + α2x2+ a3x3 where α2 and α3 are partial regression coefficients, the coefficients represent the changes in Y associated with a unit change in x2 and x3, respectively. The partial regression coefficient represents the expected change in Y when x2 or x3 increases by one unit, while keeping other variables constant.
The partial regression coefficient for α2, α2, measures the effect of the variable x2 on Y. It tells us how much Y is expected to change for every unit increase in x2, holding the other variables constant. Similarly, the partial regression coefficient for α3, α3, measures the effect of the variable x3 on Y, and tells us how much Y is expected to change for every unit increase in x3, holding the other variables constant.
It is important to note that the regression coefficients are estimates obtained from sample data, and are subject to sampling variability. Therefore, it is important to consider the uncertainty associated with the estimates when interpreting the results.
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Answer:

5579183747482837371828282

In situation a, the predictor variable is age, as it is being tested to see if it affects the outcome variable, which is the number of risky behaviors. So, age is the independent variable and the number of risky behaviors is the dependent variable.

In situation b, the predictor variable is the number of family members, as it is being tested to see if it affects the outcome variable, which is the level of education of children. So, the number of family members is the independent variable and the level of education of children is the dependent variable.

It is important to identify the predictor variable and the outcome variable in any study as this helps in understanding the relationship between the two variables and in interpreting the results accurately.

For situation A, the predictor variable is "age," and the outcome variable is "number of risky behaviors." As age increases, the study aims to see if the number of risky behaviors changes.

For situation B, the predictor variable is "number of family members," and the outcome variable is "level of education of children." The study examines whether the children's level of education changes based on the number of family members.

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Answer:

?

Step-by-step explanation:

I can't see anything attached but I know all angles of a triangle add up to 180 degrees. It probably doesn't help tho.

Answer:

Since no figure is shown, i'll give you a hint.

Step-by-step explanation:

All angles inside a triangle equal 180 when combined.

i'll help more if you post the photo.

To find the degree measure of 1.37 radians, we need to use the formula that converts radians to degrees. The formula is degrees = radians x (180/π). So, by substituting 1.37 radians in the formula, we get degrees = 1.37 x (180/π) ≈ 78.53°. Therefore, the degree measure of 1.37 radians is approximately 78.53°.

Radians and degrees are two different units for measuring angles. Radians measure the angle formed by the radius of a circle, whereas degrees measure the angle formed by two intersecting lines. The conversion between radians and degrees is necessary when we need to convert between the two units. The formula for converting radians to degrees is degrees = radians x (180/π).

The degree measure of 1.37 radians is approximately 78.53°. It is important to know how to convert between radians and degrees, especially when dealing with trigonometric functions and calculus problems.

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Answer:

−45.54

Step-by-step explanation:

Just took the test

The residual for the shopper will be equal to -45.54. Hence, option C is correct.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given data provided in the question,

The given equation is,

y = 275.3 + 90.7 x

Here, x is the number of trips and y is the total monthly expense.

Then,

Shopper monthly cost = $520

Number of visits by the shopper in a month = 3.2

So, the residual for the shopper will be,

$520 = 275.3 + 90.7 (3.2)

$520 = 275.3 + 290.24

= -45.54

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52% of what number is 13 is 25.

Answer: 25

Step-by-step explanation: divide by the percentage to find the original number

13 / 0.52 = 25

We can conclude that it is extremely unlikely to obtain a sample mean greater than 904.8 minutes if the design engineer's claim about the population variance and mean is true.

We can use the Central Limit Theorem to approximate the distribution of the sample means.

Under the given assumptions, the mean of the sampling distribution of the sample means is equal to the population mean, which is 886886 minutes, and the standard deviation of the sampling distribution of the sample means is equal to the population standard deviation divided by the square root of the sample size, which is\(\sqrt{84648464/145145} = 41.77\) minutes.

Therefore, we can standardize the sample mean using the formula:

\(z = (\bar{x} - \mu) / (\sigma / \sqrt{n } )\)

where \(\bar{x}\)  is the sample mean, \(\mu\)  is the population mean, sigma is the population standard deviation, and n is the sample size.

Plugging in the values we get:

z = (904.8 - 886886) / (41.77) = -21115.47

The probability of getting a sample mean greater than 904.8 minutes can be calculated as the area under the standard normal curve to the right of z = -21115.47.

This probability is essentially zero, since the standard normal distribution is symmetric and nearly all of its area is to the left of -6.

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Answer:

(-3,5)

Step-by-step explanation:

Answer:  So,. The sum of the measures of the angles of a quadrilateral is 360. Let m∠J = m∠K = x. ... CCSS SENSE-MAKING If WXYZ is a kite, find each measure. 24. YZ.

Step-by-step explanation:

The measure of the angle XYZ in the given kite WXYZ is 45°

A kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and two pairs of adjacent equal-length sides.

Given is a kite WXYZ, with angles 73° and 121°, sides WZ and WX are equal,

We are asked to find the measure of the angle XYZ

Since, WZ = WX

Therefore,

∠ WXY = ∠ WZY [properties of a kite]

∠ WXY = ∠ WZY = 121°

We now have measurements of three angles from the given kite,

Since, a kite is quadrilateral, and the sum of the interior angles of a quadrilateral is 360°

Therefore,

∠ WXY + ∠ WZY + ∠ XWZ + ∠ XYZ = 360°

121° + 121° + 73° + ∠ XYZ = 360°

∠ XYZ = 360° - 315°

∠ XYZ = 45°

Hence, the measure of the angle XYZ in the given kite WXYZ is 45°

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The question is incomplete, I have solved for the similar question attached

Answer:

All numbers that might be the lock code are: 25, 26, 27, 28, 35, 36, 37, 38, 45, 46, 47, and 48.

Step-by-step explanation:

All the numbers that might be the lock code can be determined by combining one of the possible first digits with all of the possible second digits at a time.

From the question,

The first digit is 2, 3, or 4; and the second digit is 5, 6, 7, or 8.

Therefore,

If the first digit is 2, then the lock code might be

25, 26, 27, or 28

If the first digit is 3, then the lock code might be

35, 36, 37, or 38

If the first digit is 4, then the lock code might be

45, 46, 47, or 48.

Hence, all numbers that might be the lock code are:

25, 26, 27, 28, 35, 36, 37, 38, 45, 46, 47, and 48.

50 paquetes restamos 2500 - 3250 nos da 750, eso lo dividimos en 15 y da 50 1ue es el resultado

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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