Off track biking charges an hourly rate for mountain bike lessons and adds a charge of $100 for insurance. The overvalued cost (C) is represented by the formula, C=40h + 100 where h is the number of hours of lessons. Ben has 7 hours of lessons with off track biking.
How much does he pay?

1) The slope of the regression line is 35
2) The correlation coefficient is 0.95
3) Employees’ annual earnings are strongly related to their tenure
4) Employee earnings increase with tenure.

The slope of the regression line in this data set is close to 35. In order to determine the slope, two points must be identified that are either on or near the line.

We have the following two points;

(1, 175) and (2.5, 225)

slope = (change in y) / (change in x)        

          = (225-175)/(2.5-1) = 33.33

This is close to 35.

2) The correlation coefficient of the annual earnings and tenures of employees at Stan & Earl Corp is almost 0.95. This value, known as the coefficient of correlation, shows the level of connection between two variables and the direction of their linear relationship. The scatter-plot demonstrates a strong positive relationship between the employees' annual earnings and their tenure.

Hence the correlation coefficient is close to 0.95.

3) The data suggests a strong connection between an employee's annual earnings and their tenure. The correlation coefficient was estimated to be close to 0.95, which represents a significant positive relationship between the two variables. As a result, it can be concluded that there is a clear relationship between an employee's annual earnings and the length of time they have been with the company.

4) As employees' tenure with the company increases, their annual earnings also increase. This can be deduced from the slope of the regression line which was calculated to be close to 35, indicating a positive relationship between the two variables. The positive correlation coefficient supports this

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The regression line for this data set has a slope close to m = (5.5,35,-50,-2.5) , and the correlation coefficient is close to (0.20,0.40,0.75,0.95) .

Based on this information, we can conclude that employees’ annual earnings are (strongly related, moderately related, weakly related, not related) to their tenure. Employee earnings (increase with, decrease with, are not affected by) tenure.

they are called perfect square numbers

4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196 heres some hope that helps!

The cost for sending the parcel with each company is £72 via WeGoFast and £80 by ParcelsFly.

In product, exploration, retail, and account, a cost is the value of plutocrat that has been used up to produce commodity or deliver a service, and hence isn't available for use presently. In business, the cost may be one of accession.

Hector needs the parcel to be send.

Dimension for his cuboid parcel is given by 10 cm by 10 cm by 40 cm.

10cm x 10cm x 40cm

Sum of the three dimension in cm

= (10 + 10 + 40) cm

= 60 cm.

Volume of the parcel in  = (10 × 10 × 40)  = 4000 cm³

Price charge by WeGoFast

= Sum of the three dimensions in cm × £1.20

= £ (60 × 1.20) = £72.

Price charged by ParcelsFly

= Volume measured in  × £0.02

= £ (4000 × 0.02) = £80

Therefore, The cost of sending the parcel with each company is £72 by WeGoFast and £80 by ParcelsFly.

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The repairs and maintenance charges for this vehicle are 207 dollars and 0 cents.

Operating costs are continuous expenses paid as a result of the usual day-to-day operations of an organization. Operating costs comprise both the cost of goods sold and additional operating expenditures, which are sometimes referred to as selling, general, and administrative costs.

here, we have,

From the data provided in the table, we can deduce the repair and maintenance charges of the vehicle.

The name of Car 8 implies that they are talking about Version V-8 of the Sedan Car.

Year-driven third implies the third year which alludes to the 6th column of the table.

Number of miles driven = 9000

From the repair and maintenance cents per mile in the table:

The total cost for this service = number of miles driven × repair and maintenance cost

The total cost for this service = 9000 × 2.3

The total cost for this service = 20700 cents

The total cost for this service in dollars and cents  

= $207.00

The total cost for this service is 207 dollars and 0 cents.

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Answer: 2,4,6

Step-by-step explanation: All of these have x=3 as a solution.

Answer:

Step-by-step explanation:

6=2x

x^2=9

x-3=0

Answer: Pretty much correct except one thing is wrong.

Step-by-step explanation:

In place of CB you should write AB because the sides doesn't match when you flip the triangle CED.

Hope it helps!

To do trigonometry, you need to have a clear understanding of triangles and the relationships between their sides and angles. To do trigonometry without images or diagram, let's go straight to the explanation below.

When solving trigonometry word problems without a drawing/image, the following steps can be helpful:

It is important to note that in order to use trigonometry, you need to have a clear understanding of triangles and the relationships between their sides and angles.

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According to the random survey, the majors chosen by the freshmen of our university were:

To get a better understanding of the proportions of students choosing certain majors, universities can survey a sample of their entering freshmen. This survey should be representative of the population, so it should be conducted using a randomized sampling technique.

The survey should ask questions about the major the student is planning on pursuing and other relevant information, such as the student's interests and motivations.

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Check the picture below.

Answer:

10x+15y-10

Step-by-step explanation:

5(2x+3y-2)

=10x+15y-10

The sum of the interior angles of a regular hexagon is S = 720° and each angle of the regular hexagon x = 120°

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the sum of the interior angles of the hexagon be S

Now , the number of sides for a hexagon = 6

And ,Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

Substituting the values in the equation , we get

6θ = 180 ( 6 - 2 )

On simplifying the equation , we get

6θ = 180 x 4

6θ = 720°

Therefore , the sum of angles is 720°

And , the value of x = 720 / 6 = 120°

Hence , the sum of interior angles of hexagon is 720°

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Answer:

Step-by-step explanation:

You want two integers with a product of 36 such that one is 3 less than 5 times the other.

Let x be "the other" integer. Then one is (5x-3), and the product is ...

  x(5x -3) = 36

  5x² -3x = 36 . . . . . . eliminate parentheses

  x² -0.6x = 7.2 . . . . . . . divide by 5

  x -0.6x +0.09 = 7.29 . . . . . add (0.6/2)² to complete the square

  (x -0.3)² = 7.29

  x = 0.3 +√7.29 = 0.3 +2.7 = 3

  5x -3 = 5·3 -3 = 12

The two integers are 12 and 3.

Answer:

There were 8 student who went on a trip.

Step-by-step explanation:

Let's call the original number of students "x". The total cost of the trip was $80, so the cost per student was $80/x.

When four more students decided to go, the new number of students became x + 4, and the cost per student was reduced by $1, to $80/x - $1.

We can set up an equation to solve for x:

$80/x = $80/(x + 4) - $1

Expanding the right side:

$80/x = $80/x + $80/4 - $1

Combining like terms:

$80/x = $80/4 + $80/x - $1

Solving for x:

$80/4 = $80/x - $1

$80/4 + $1 = $80/x

$20 + $1 = $80/x

$21 = $80/x

Finally, solving for x:

x = 80/$21 = 80/21 = 3.81 (rounded to nearest whole number)

So, there were 4 students on the original trip.

There were 4 students on the original trip and 4 more students joined, so in total, there were 4 + 4 = 8 students who went on the trip.

Answer: 8 student

Step-by-step explanation:

Answer:

D. [tex]56.25 mm^{2}[/tex]

Step-by-step explanation:

A = [tex]\frac{A + 2}{2}[/tex]h =

[tex]\frac{16 + 9}{2}[/tex]x4.5

Thus,

=56.25

Option D.

The bacteria's population increases exponentially, and its equation is

P(t) = P[tex]_{0}[/tex]e[tex]^{kt}[/tex]

Where,

P[tex]_{o}[/tex] is the initial population t is the number of hours.

k is the growth rate.

It is given that the population of the bacteria after one hour triples itself. i.e

P(1)=3P[tex]_{o}[/tex]

3P[tex]_{o}[/tex]=Pe[tex]k^{(l)}[/tex]

3=e[tex]^{k}[/tex]

In 3 = In e[tex]^{k}[/tex]

In 3=k ln e

In 3 = k(1)

k = ln (3)

Thus, the rate of growth is k= ln (3)

Substitute k = ln (3) in the equation P(t) = P[tex]_{o}[/tex]e[tex]^{kt}[/tex].

P(t) = P[tex]_{o}[/tex]e[tex]tln^{(3)}[/tex]

It is given that there are 1 million bacteria after 5 hours. i.e. P(5)=10,00,000

P(5) = P[tex]_{o}[/tex]e[tex]^{(5)} ln^{(3)}[/tex]

10,00,000 Pe[tex]^{(5)}ln^{(3)}[/tex]

10,00,000 = P[tex]_{o}[/tex]e[tex]ln^{(3)^{5} }[/tex]

10,00,000 = P[tex]_{o}[/tex][tex](3)^{5}[/tex]

P[tex]_{o}[/tex] = 10,00,000 / [tex]3^{5}[/tex]

P[tex]_{o}[/tex] = 10,00,000 / 243

Thus, the formula for any t is P(t) = (10,00,000 / 243) e[tex]ln^{(3)^{t} }[/tex]

Find the doubling time for the bacteria population.

Let X= 10,00,000 / 243 then the equation for the doubling time for the bacteria is

2X = Xe[tex]ln^{(3)t[/tex]

2 = e[tex]ln^{(3)t}[/tex]

t= ln (2) / ln (3) ≈ 0.63094 hours

Or t=37.8564 minutes.

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The ordered pair (5,200) represent in this situation is a straight line passing through y = 20x.

Having zero width and extending on all sides, a line is a geometry object. An unbent line is, to put it simply, a straight line. A straight line is one that doesn't curve and extends indefinitely on both sides.

We have ordered pair (5,200),

x = 5

so y = 200

so y = 5 x 40

so we have  y = 40x

This is a straight line passing through the origin on the point  (5,200), through any point.

An ordered pair consists of two items. Because the ordered pair differs from the ordered pair unless a = b, the order of the objects in the pair is important. Other names for ordered pairs include 2-tuples and 2-length sequences.

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Complete question:

What does the ordered pair (5, 200) represent in this situation?

As a result, 315 pupils attended the school play.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

The first equation in the system is given by the total number of attendees:

c + a = 330

The second equation is given by the number of children being 21 times the number of adults:

c = 21a

We can use substitution to find the value of a and then find the value of c. Substituting the second equation into the first equation, we get:

21a + a = 330

Combining the two terms on the left-hand side, we have:

22a = 330

Dividing both sides by 22, we have:

a = 15

So there were 15 adults in attendance at the school play. To find the number of children, we can use the second equation:

c = 21a = 21 * 15 = 315

So there were 315 children in attendance at the school play.

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Answer: 42 = 8w + 15

Step-by-step explanation:

Function representing number of followers for different situation are:

a. Number of followers in 't' years N = 500,000 ( 1 + 19/100 )^t.

b. Number of people following in 2019 are 1,690,000 ( nearest thousand )

Total number of followers of social media website in 2012 = 500,000

Followers increases by 19% every year.

let 'N' represents the number of followers.

a. Function to represents the number of follower in 't' years after 2012 is:

N = 500,000 ( 1 + 19/100 )^t

b. Number of people following website in 2019 is:

t = 2019 -2012

 = 7

N = 500,000 ( 1 + 19/100 )^7

⇒ N = 500,000 ( 1.19 )^7

⇒ N = 500,000 × 3.379

⇒ N= 1689657.7

⇒ N = 1,690,000 ( nearest thousand )

Therefore, the number of followers represented for different condition are:

a. Function to represent number of followers in 't' years is

N = 500,000 ( 1 + 19/100 )^t

b. Number of followers in 2019 are 1,690,000 ( nearest thousand )

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Grace read 4/7 of the book at night.

To solve this problem, we need to use the fractions to calculate the amount of the book that Grace read in the morning and the amount of the book that she read at night.

The total amount of the book that Grace read in the day is 1/3 + 2/5 = 7/15.

Since she read 1/3 of the book in the morning, then the amount of the book that she read at night is 7/15 - 1/3 = 4/15.

To calculate the amount of the book that she read at night as a fraction of the total book, we need to divide 4/15 by 7/15.

4/15 ÷ 7/15 = 4/7

Therefore, Grace read 4/7 of the book at night.

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The value of 'x' is 1. The height of the wall is 24 feet and the width of the wall is 15 feet.

To find the dimensions of the wall find the dimensions of the rectangles given in the figure. Calculate the area of the rectangle and factorize the resultant equation for the value of 'x'. Calculate the dimensions of the wall by using the number of panels along the height and top.

Here we have  

A wall has paneling made up of rectangles

Area of the rectangle = 30 square feet  

Given that the edge of each rectangle in the paneling is (2x+3) feet in width and (4x+2) feet in height.  

Area of the rectangle = (2x + 3)(4x +2) = [ 8x²+ 16x + 6 ]  

Given that area of the rectangle = 30 ft²  

=> 8x²+ 16x + 6 = 30

=> 8x²+ 16x - 24 = 0  

=> x² + 2x - 3 = 0

=> x² + 3x - x - 3 = 0

=> x(x + 3) - (x + 3) = 0

=> (x + 3)  (x - 1) = 0

=> x = -3 and  x = 1  

We need to x = 1  [ since height can't be taken in negative ]

Dimensions of the rectangle,

Width, 2x + 3 = 2(1) + 3 = 5 feet

Height, 4x + 2 = 4(1) + 2 = 6 feet

Given that there are 4 rectangles along the height

Height of the wall = 4 × 6 = 24 feet

There are 3 rectangles along the top.

Width of the wall = 3 × 5 = 15 feet

Therefore,

The value of 'x' is 1. The height of the wall is 24 feet and the width of the wall is 15 feet.

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Answer:

Here's the exponential equation to model the card's value:

y = 98.70 * 2^x

where x is the number of years after Mr. Olsen purchased the card.

To find the value of the card after 5 years:

x = 5

y = 98.70 * 2^5 = 98.70 * 32 = $3162.40

So, Mr. Olsen can expect the card's value to be $3162.40 5 years after he purchased it.

Step-by-step explanation:

Answer:

Step-by-step explanation:

m

Answer:

3 bags of leaves each weekday

Step-by-step explanation:

5b + 11 = 26

Subtract 11 from both sides.

5b = 15

Divide 5 on both sides.

b = 3

Grace filled 3 bags of leaves each weekday.

From the given triangle, the lengths of AB and PB becomes: 9 cm and 4 cm respectively.

Tri-, which means "three," and angulus, which means "angle or corner," are the origins of the Latin word triangulus, which means "three-cornered" or "having three angles." A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. 180 degrees is the summation of the triangle's three angles.

In ΔAPC and ΔABC

∠ABC = ∠ACP and ∠BAC = ∠CAP

∴ ΔABC ≅ ΔACP

Because ∠ABC = ∠ACP, thus ∠A = ∠A, so, ∠ABC = ∠ACP

As, ΔABC ≅ ΔACP

∴ AB = BC = AC = CP  (the corresponding sides of a similar triangle are proportional)

∵ BC = 12, AC = 6, CP = 8

∴ AB = (6/8) × 12

or, AB = 9 cm

as, ΔABC ≅ ΔACP

∴ AP : AC = AC : AB

or, AP = (6/9) × 6

or, AP = 4 cm

next, PB = AB - AP

PB = 9 - 4 cm

PB = 5 cm

Thus, the lengths of AB and PB becomes: 9 cm and 4 cm respectively.

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The complete question is as follows:

Chris's method of finding the surface area of a box by thinking of it as a combination of a triangular prism and a rectangular prism is a valid and useful approach.

What is Surface area?

The surface area of a solid item is a measurement of the total area occupied by the object's surface.

Yes, Chris's method of finding the surface area of a box by thinking of it as a combination of a triangular prism and a rectangular prism makes sense.

A box can be thought of as a combination of a triangular prism and a rectangular prism because a box is made up of six faces, with three rectangular faces and three triangular faces. By finding the surface area of the triangular prism and the rectangular prism separately, and then adding them together, one can find the total surface area of the box.

This method can make finding the surface area of a box faster and easier because one can use formulas that are specifically designed for finding the surface area of triangular prisms and rectangular prisms. By breaking down the box into its constituent parts, one can simplify the calculation and avoid having to use a more complex formula for finding the surface area of a box.

In summary, Chris's method of finding the surface area of a box by thinking of it as a combination of a triangular prism and a rectangular prism is a valid and useful approach.

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The conditional probability that the previous state was state 2 given that the chain is currently in state 1 is equal to the probability of transitioning from state 2 to state 1.

The conditional probability of transitioning from one state to another in a Markov Chain is dependent on the transition probabilities between the states. In this case, the conditional probability of transitioning from state 2 to state 1 is equal to the probability of transitioning from state 2 to state 1. This probability can be determined by looking at the transition matrix of the Markov Chain. The transition matrix specifies the probability of transitioning from one state to another. Therefore, the conditional probability of transitioning from state 2 to state 1 given that the chain is currently in state 1, is equal to the probability of transitioning from state 2 to state 1 as specified in the transition matrix.

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Answer:

The answer to the classification of the statements is:

1.True

2.False

3.False

4.True

Answer:

True

False

False

True

Step-by-step explanation:

The optimal solution amount will increase by the amount that the additional 10 units of the second constraint can be used to benefit the overall solution.

The optimal solution amount will increase with the addition of 10 units to the second constraint. This is because the additional 10 units can be used to benefit the overall solution by providing more of the resources that are necessary to reach the optimal solution. For example, if the second constraint is a limit on the amount of a certain resource that can be used, then the additional 10 units can be used to increase the amount of resources available, which can lead to a better overall solution. In addition, the additional 10 units can also be used to increase the efficiency of the solution, by allowing the solution to use the same amount of resources more efficiently.

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The water level in the tank will take x = 30 minutes to decrease from 15 inches to 9 inches deep. It will take 6 minutes for the water level to decrease by 0.5 inches.

The water level in the tank is currently 15 inches deep and is decreasing by 0.5 inches every minute. In order to determine how many minutes, x, it will take for the water level to measure 9 inches deep, we will need to calculate the difference between the current water level and the desired water level. To do this, we need to subtract 9 inches from 15 inches, and this will give us a difference of 6 inches. Now, since the water level is decreasing by 0.5 inches per minute, we need to divide 6 inches by 0.5 inches, which will give us 12 minutes. Since 12 minutes is equal to 2 intervals of 6 minutes, the water level will take x = 30 minutes to decrease from 15 inches to 9 inches deep.

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