The manufacturer's suggested retail price (MSRP) for a particular car is $25,100, and it is expected to be worth $14,284 in 4 years. (a) Find a linear depreciation function for this car. (b) Estimate the value of the car 5 years from now. (c) At what rate is the car depreciating? ​

Answers

Answer 1

(A) The slope of the line represents the rate of depreciation per year, which is $2,704.

(B) The estimated value of the car 5 years from now is $11,580.

(C) The car is depreciating at an annual rate of approximately 10.77%.

(a) To find the linear depreciation function for the car, we need to determine the rate at which it depreciates per year. We can use the formula for the slope of a line:

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

Let's assign the x-axis to represent time in years and the y-axis to represent the value of the car. We have two points: (0, $25,100) and (4, $14,284).

Slope = (14284 - 25100) / (4 - 0)

      = -10816 / 4

      = -2704

Therefore, the slope of the line represents the rate of depreciation per year, which is $2,704. We can express the linear depreciation function as:

Value of the car (V) = -2704x + 25100

Where x is the number of years since the car was purchased.

(b) To estimate the value of the car 5 years from now, we substitute x = 5 into the linear depreciation function:

V = -2704(5) + 25100

 = -13520 + 25100

 = $11,580

Therefore, the estimated value of the car 5 years from now is $11,580.

(c) The rate at which the car is depreciating can be determined from the coefficient of x in the linear depreciation function. In this case, the coefficient is -2704. Since the rate is negative, it means the car's value is decreasing over time. The magnitude of the coefficient indicates the amount by which the value decreases each year.

In percentage terms, the rate of depreciation can be calculated as:

Rate of depreciation = (2704 / 25100) * 100 = 10.77%.

Hence, the car is depreciating at an annual rate of approximately 10.77%.

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Related Questions

Write and solve an inequality to find the possible values of x.

Answers

The inequality tha calculates the possible values of x is x < 2

How to determine the inequality tha calculates x

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

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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URGENT
The area of a kite is 180 cm^2. The length of one diagonal is 16cm. What is the length of the other diagonal?
SHOW WORK AND ANSWER PLEASE

Answers

The length of the other diagonal is 11.25 cm.

What is area?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

In this question, we are given the following:

The area of a kite is 180. One of the diagonals is 16.

What is the length of the other diagonal?

The details of the solution are as follows:

We know that,

The area of a kite is the product of the diagonals divided by 2:

[tex]\text{A} = \dfrac{(\text{d}^1 \times \text{d}^2)}{2}[/tex]

You can substitute what we have:

[tex]180= \dfrac{(16 \times \text{d}^2)}{2}[/tex]

And solve.

[tex]180 = 16 \times \text{d}^2[/tex]

[tex]\text{d}^2=\dfrac{180}{16}[/tex]

[tex]\text{d}^2=\bold{11.25 \ cm}[/tex]

Therefore, the length of the other diagonal = 11.25 cm.

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Sketch the graph of the given function. Then state the function’s domain and range. y = 4(4)x

Answers

To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.

Let's choose some x-values and calculate the corresponding y-values:

For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4

For x = -1, y = 4(4)^(-1) = 4(1/4) = 1

For x = 0, y = 4(4)^0 = 4(1) = 4

For x = 1, y = 4(4)^1 = 4(4) = 16

For x = 2, y = 4(4)^2 = 4(16) = 64

Now we can plot these points on a coordinate plane and connect them to form the graph of the function.

The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.

The domain of the function is all real numbers since there are no restrictions on the values of x.

The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.

Bally Manufacturing sent Intel Corporation an invoice for machinery with a $13,100 list price. Bally dated the invoice August 01 with 3/10
EOM terms. Intel receives a 40% trade discount. Intel pays the invoice on August 14. On August 10, Intel Corporation returns $100 of the machinery due to defects. What does Intel pay Bally on August 14?

Answers

The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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Like us, mice are warm-blooded creatures. Their bodies must maintain a constant
temperature of 37°C, regardless of the temperature of their environment. Doing so burns
calories. The more severe the temperature difference, the more calories the mouse must
burn to maintain its body temperature. Consulting the research literature, you found the
following model:

C = 0.37219T + 1,560

Where C is the number of calories an idle mouse burns each day and T is the temperature
of its environment in °C. What is the most comfortable temperature for an idle mouse?
(This is the temperature where it burns the least calories per day). How many calories will
it burn each day at that temperature?

Answers

At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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What type of equation will best fit the data below

Answers

Answer:

Quadratic equation. Linear would be a straight line and exponential would continue to grow; only quadratic equations are shaped like parabolas.

linear

if you add 2 cats to a tree and took one down you would have 0 in the tree so if you add 2+2=4 you can find every answer in the book.

your wellcomed

A special observatory on a mountain in Siberia monitors the number of meteoroids entering the Earth's atmosphere above the North Pole. It is an automated system that detects the flashes of light caused by their friction with the atmospheric gases. If on average the system detects 51 per day, what is the estimated annual total number of meteoroids that enter the atmosphere above the pole? Express your answer using scientific notation and assume a non-leap year.

Answers

The number of meteoroids entering the atmosphere above the North Pole in a year can be estimated by multiplying the average number of detection per day by the number of days in a year.


Since there are 365.25 days in a non-leap year, the estimated annual total number of meteoroids entering the atmosphere over the North Pole is:


Annual Total Number = 51 (detection per day) * 365.25 (days in a year) ≈ 18561.25


Therefore, the estimated annual total number of meteoroids entering the atmosphere above the North Pole can be expressed as: 1.86 x 10^4 meteoroids per year.

remove all perfect squares from inside the square root of 200y^2

Answers

[tex]\sqrt{200y^2} ~~ \begin{cases} 200=&2\cdot 10\cdot 10\\ & 2\cdot 10^2 \end{cases}\implies \sqrt{2\cdot 10^2 y ^2}\implies 10y\sqrt{2}[/tex]

At what points is the function y=|6x-7|+3 sin (5x) ​continuous?

Answers

So this is the set of all x-values where the function y = 16x - 71 + 3sin(5x) is continuous.

The function y = 16x - 71 + 3sin(5x) is continuous everywhere since it is a sum of continuous functions. The function 16x is a polynomial, which is continuous for all values of x. The function 3sin(5x) is also continuous for all values of x since it is a composition of continuous functions (sin(x) and 5x), and the constant term -71 is also continuous.

Therefore, we do not need to find any specific points of continuity or discontinuity – the function is continuous for all x.

To describe the set of x-values where the function is continuous in interval notation, we can simply write:

(-∞, ∞)

This interval includes all real numbers.

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Write the English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The product of 8 and a number, which is then subtracted from the product of 17 and the number.

Answers

The algebraic expression for the given phrase is: 17x - 8x. To simplify this expression, we can combine like terms by subtracting the coefficients of x. The simplified expression is: 9x.

In the given phrase, "The product of 8 and a number" can be represented as 8x, where x represents the number. Similarly, "The product of 17 and the number" can be represented as 17x. Since we are subtracting the product of 8x from the product of 17x, the algebraic expression becomes 17x - 8x.

To simplify the expression, we combine like terms. The coefficients of x are 17 and -8. Since we are subtracting 8x from 17x, we subtract the coefficient of 8x from the coefficient of 17x, resulting in 17x - 8x. Combining like terms gives us 9x.

In conclusion, the simplified expression for the phrase "The product of 8 and a number, which is then subtracted from the product of 17 and the number" is 9x.

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Find the area of the regular pentagon with apothem 3.5 and side. Not drawn to scale.
100 POINTS
SHOW WORK PLEASE

Answers

Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

What is the area of the regular pentagon?

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

How to find the area of the regular pentagon

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

[tex]\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a[/tex]

Where “s” is the side length. And “a” is the apothem length.

Now,

[tex]\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a[/tex]

[tex]\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5[/tex]

[tex]\text{Area of pentagon} =52.5[/tex]

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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Waiting times​ (in minutes) of customers at a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Find the coefficient of variation for each of the two sets of​ data, then compare the variation.

Bank A (single line) Bank B (individual lines)

6.5 4.0

6.6 5.4

6.7 5.9

6.7 6.2

7.1 6.8

7.4 7.7

7.5 7.7

7.7 8.5

7.7 9.4

7.7 9.8
A) The coefficient of variation for the waiting times at Bank A is
​(Round to one decimal place as​ needed.)
B) The coefficient of variation for the waiting times at Bank B is
​(Round to one decimal place as​ needed.)
C)Is there a difference in variation between the two data​ sets?

Answers

The coefficient of variation for Bank A is approximately 8.04%, while the coefficient of variation for Bank B is approximately 25.55%.

To find the coefficient of variation for each set of data, we need to calculate the mean and standard deviation for each set. The coefficient of variation is then calculated by dividing the standard deviation by the mean and multiplying by 100.

Let's calculate the coefficient of variation for each set of data:

Bank A (single line):

Mean: Calculate the mean of the data set.

Mean = (6.5 + 6.6 + 6.7 + 6.7 + 7.1 + 7.4 + 7.5 + 7.7 + 7.7 + 7.7) / 10 = 7.03 minutes

Standard deviation: Calculate the standard deviation of the data set.

Standard deviation = √[(6.5 - 7.03)² + (6.6 - 7.03)² + ... + (7.7 - 7.03)²] / 10 ≈ 0.565 minutes

Coefficient of variation:

Coefficient of variation = (0.565 / 7.03) * 100 ≈ 8.04%

Bank B (individual lines):

Mean: Calculate the mean of the data set.

Mean = (4.0 + 5.4 + 5.9 + 6.2 + 6.8 + 7.7 + 7.7 + 8.5 + 9.4 + 9.8) / 10 = 7.5 minutes

Standard deviation: Calculate the standard deviation of the data set.

Standard deviation = √[(4.0 - 7.5)² + (5.4 - 7.5)² + ... + (9.8 - 7.5)²] / 10 ≈ 1.916 minutes

Coefficient of variation:

Coefficient of variation = (1.916 / 7.5) * 100 ≈ 25.55%

Comparing the variation:

The coefficient of variation for Bank A is approximately 8.04%, while the coefficient of variation for Bank B is approximately 25.55%. Since the coefficient of variation measures the relative variability of the data, we can conclude that the waiting times at Bank B (individual lines) have a higher variation compared to Bank A (single line).

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Consider a medium with parameters € = 1.2 (10^-10 )F/m , n= 3(10^-3) H/m and sigma=0. Magnetic field intensity in the medium is given as R = 2cos (10^10t- 600x)äz Am.
Use Maxwell's equations to obtain the followings:
1) Magnetic flux density
These questions is circuit theory

Answers

Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:

[tex]\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}[/tex],

where [tex]\displaystyle \nabla \times \mathbf{H}[/tex] is the curl of the magnetic field intensity [tex]\displaystyle \mathbf{H}[/tex], [tex]\displaystyle \mathbf{J}[/tex] is the current density, and [tex]\displaystyle \frac{\partial \mathbf{D}}{\partial t}[/tex] is the time derivative of the electric displacement [tex]\displaystyle \mathbf{D}[/tex].

In this problem, there is no current density ([tex]\displaystyle \mathbf{J} =0[/tex]) and no time-varying electric displacement ([tex]\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0[/tex]). Therefore, the equation simplifies to:

[tex]\displaystyle \nabla \times \mathbf{H} =0[/tex].

Taking the curl of the given magnetic field intensity [tex]\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}[/tex]:

[tex]\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}[/tex].

Using the curl identity and applying the chain rule, we can expand the expression:

[tex]\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z[/tex].

Since the magnetic field intensity [tex]\displaystyle \mathbf{R}[/tex] is not dependent on [tex]\displaystyle y[/tex] or [tex]\displaystyle z[/tex], the partial derivatives with respect to [tex]\displaystyle y[/tex] and [tex]\displaystyle z[/tex] are zero. Therefore, the expression further simplifies to:

[tex]\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z[/tex].

Differentiating the cosine function with respect to [tex]\displaystyle x[/tex]:

[tex]\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z[/tex].

Setting this expression equal to zero according to [tex]\displaystyle \nabla \times \mathbf{H} =0[/tex]:

[tex]\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0[/tex].

Since the equation should hold for any arbitrary values of [tex]\displaystyle \mathrm{d} x[/tex], [tex]\displaystyle \mathrm{d} y[/tex], and [tex]\displaystyle \mathrm{d} z[/tex], we can equate the coefficient of each term to zero:

[tex]\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0[/tex].

Simplifying the equation:

[tex]\displaystyle \sin( 10^{10} t-600x) =0[/tex].

The sine function is equal to zero at certain values of [tex]\displaystyle ( 10^{10} t-600x) [/tex]:

[tex]\displaystyle 10^{10} t-600x =n\pi[/tex],

where [tex]\displaystyle n[/tex] is an integer. Rearranging the equation:

[tex]\displaystyle x =\frac{ 10^{10} t-n\pi }{600}[/tex].

The equation provides a relationship between [tex]\displaystyle x[/tex] and [tex]\displaystyle t[/tex], indicating that the magnetic field intensity is constant along lines of constant [tex]\displaystyle x[/tex] and [tex]\displaystyle t[/tex]. Therefore, the magnetic field intensity is uniform in the given medium.

Since the magnetic flux density [tex]\displaystyle B[/tex] is related to the magnetic field intensity [tex]\displaystyle H[/tex] through the equation [tex]\displaystyle B =\mu H[/tex], where [tex]\displaystyle \mu[/tex] is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.

Thus, the correct expression for the magnetic flux density in the given medium is:

[tex]\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}[/tex].

Un profesor de Enseñanza Básica le indica a sus alumnos que escojan tres dígitos
diferentes del conjunto {1, 2, 3, 4, 5} y formen números mixtos colocando los dígitos
en el casillero . También les recuerda que la parte fraccionaria tiene que ser
menor que 1, por ejemplo
2
3
5
. ¿Cuál es la diferencia entre el mayor y el menor de los
números mixtos que se pueden formar?

Answers

Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

A mixed number is a number that has both a whole number and a fraction component. To form three-digit mixed numbers, we need to have a whole number that is less than 100 and a proper fraction that has a denominator less than or equal to 99. Here are some examples:123 4/567 2/8109 1/2382 3/47There are a total of 900 three-digit numbers that can be formed using digits 1 to 9 without repetition. To find the number of three-digit mixed numbers that can be formed, we need to count the number of ways we can choose a proper fraction with a denominator less than or equal to 99. There are 99 possible denominators, and for each denominator, there are 98 possible numerators (excluding 0 and the denominator itself). Therefore, the total number of three-digit mixed numbers that can be formed is:900 x 99 x 98 = 8,334,600There are 8,334,600 three-digit mixed numbers that can be formed using digits 1 to 9 without repetition.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

How to solve

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

The sum of five and twice a number 49. Find the number

Answers

Let's represent the number as 'x'.

According to the given information, the sum of five and twice the number is 49. Mathematically, we can express this as:

5 + 2x = 49

To find the value of 'x', we need to isolate it on one side of the equation. We can do this by subtracting 5 from both sides:

2x = 49 - 5
2x = 44

Next, we divide both sides of the equation by 2 to solve for 'x':

x = 44 / 2
x = 22

Therefore, the number is 22.

The darkness of the print is measured quantitatively using an index. If the index is greater than or
equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and
not acceptable. Assume that the machines print at an average darkness of 2.2 with a standard
deviation of 0.20.
(a) What percentage of printing jobs will be acceptable? (4)
(b) If the mean cannot be adjusted, but the standard deviation can, what must be the new standard
deviation such that a minimum of 95% of jobs will be acceptable?

Answers

84.13% of the printing jobs will be acceptable.

The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.

The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.

The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.

To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.

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I need some statistics help!!

For a distribution with a standard deviation of σ= 12, describe the location of each of the
following z-scores in terms of its position relative to the mean. For example, = +1.00 is a location that is 12 points above the mean.

a. z = +2.00
Answer:

b. z = +.50
Answer:

c. z= -1.00
Answer:

d. Z= -0.25
Answer:

Answers

Answer:

a. z = +2.00

Answer: The position is 24 points above the mean

b. z = +.50

Answer: The position is 6 points above the mean

c. z= -1.00

Answer: The position is 12 points below the mean

d. Z= -0.25

Answer: The position is 3 points below the mean

Step-by-step explanation:

We can use the relation,

[tex]z = (x-u)/S[/tex]

Where u is the mean and S is the standard deviation,

S = 12,

Rearranging, we get,

[tex]Sz = x - u\\12z=x-u\\12z + u = x[/tex]

Where x gives the position relaive to the mean.

So, for z = +1,

we get,

x = u + 12

Hence x is 12 points above the mean (u)

Now answering the questions,

a. z = +2

x = u + (12)(2)

x = u + 24

Hence the position is 24 points above the mean

b. z = +0.50

x = u + 12(o.5)

x = u + 6

hence the position is 6 points above the mean

c. z = -1.00

x = u + 12(-1)

x = u - 12

Hence the position is 12 points below the mean

d. z = -0.25

x = u + (12)(-0.25)

x = u - 3

Hence the position is 3 points below the mean

Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start?

had a head start of
meters.

Answers

Answer:

Ryan had a head start of 10 meters

Step-by-step explanation:

A camp counselor buys lunch for her campers at a nearby fast food restaurant. On
Monday, she purchased 5 hamburger meals and 6 chicken nugget meals, for a total of
$39. On Thursday, she purchased 9 hamburger meals and 2 chicken nugget meals,
for a total of $35.
Which pair of equations could be used to determine the cost of each type of meal?

Answers

Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

Other Questions
What is the primary (proeuctectoid) phase of any alloy? 1. White spruce (Picea glauca) may compete with lodgepole pine (Pinus contorta) for light and living space. Eventually, the white spruce may take over. What kind of competition is taking place? Provide two reasons why the white spruce may out-compete the lodgepole pine. 2. Many species have developed specific coloration that protects them from predators. a) Explain the relationship between warning coloration and Batesian mimicry. b) Why might it be important for the mimic to learn how to mimic the behaviour of its model? c) Predict what would happen to the population of a mimic species if its model species were eliminated from the area? Justify your prediction. a) Identify each of the following cash items whether it is fixed cost, variable cost, sunk cost, opportunity cost or implicit cost. (i) You spend RM 10,000 on the development of a new cell phone. Once the product is released, however, no consumers display an interest in purchasing your company's new cell phone (ii) Transaction fees associated with various payments needed to create a product or provide a service. (iii) The company incurs RM 550,000 in rental fees for its factory space. (iv) A commuter takes the train to work instead of driving. (v) Giving your workers a day off will lead to a drop in sales and incomePrevious question There are a lot of physical and mental health benefits to being physically active. Exercise, running and playing sports are specific planned and purposeful forms of physical activity, but physical activity is defined as any way you move your body. A physical activity can involve taking a long, peaceful walk outside with family or turning your music up loud and dancing around the room. For this CPT, you will be investigating how your body functions in order to do something that is active.You will perform a specific physical activity that you ENJOY doing and investigate what your body needs in order to perform this activity. For example, you will explore what happens in your muscle cells as you exercise, and you will look into how your body maintains balance while doing your chosen activity.GoalYour goal is to relate the activity to the four units of study through a paper. In this culminating task, you must discuss in detail from each of the four units. To help guide your research, I have provided possible suggestions below, but you are expected to explore and draw from any related content that we have covered in these four units.The Product reflectionThis will be a formal paper, written in 12-point font (double spaced, Times New Roman), and in APA format. Your paper should not exceed 4 pages in length (not including the title page and references).The Product videoYou will also need to submit a video of the physical activity you chose if you write a paper. The physical activity can be a video of someone else performing it and explaining how the activity is correctly performed. Video length, maximum 3 minutes Please clear explainationLet T R R and T: R : the formulas T(x, y) = (x + y,x-y) and T(x, y) = (6x + y, x 6y). Find formulas for T(x, y), T(x, y), and (T 0 T)(x, y). T(x, y) A46.9 kg crate resta on a horizontal floor, and a 71.9 kg person isstanding on the crate. determine the magnitude of the normal forcethat (a) the flooe exerts on the crate and (b) the crate exerts If a scuba diver descends too quickly into the sea, the internal pressure on each eardrum remains at atmospheric pressure while the external pressure increases due to the increased water depth. At suf 7. A mobile application with the pump driven directly from the engine delivers 12 gal/min at a pressure of 2000 lbf/in. At 100% overall efficiency, what horsepower will this take from the engine? The strategic management process is the set of activities that firm managers undertake to put their firms in the best possible position to compete successfully in the marketplace. Explain on strategic management and explain why it is important. Example: a cubic regression of a 6-point {(x,yDi=1:6 problem, using the polynomial coefficients a= [ 3.0000 2.0000 -1.0000 5.0000] ym=y+noise -1.0000 5.0000 5.3376 1.2000 11.8640 12.86411.6000 20.8080 19.14383.5000 154.6250 154.0350 5.5000 559.1250 558.84696.0000 719.0000 719.4227 % Two step least-error-estimation of the cubic polynomial % regression by eqs. (2) and (3). A=[x. 3 x. 2 x ones (6,1)); z=(A'*A) \A'*ym; % z=[ 3.0265 1.8882 -1.2637 5.2693] % this estimate is based on some noise-randn(6, 1) embedded in ym. X3=linspace(-2,7,200); P3-polyfit(x,ym,3); % get cubic poly. coefficient estimate % note that this P3=z y3-polyval (P3, 3); figure;plot(x,ym,'o',X3,3); grid a. Find the interpolating polynomial over the given 6-point data set. b. Show the matrix A, z and P5=polyfit(x, ym, 5) c. Interpolate the output at x = 2.7, i.e. show p(2.7). Try: yhat = polyval(P5, 2.7) d. Show plot of (x, ym, 'o') and (x,y) from this interpolation, where x=linspace(-2,7,100) and y = p(x) The main cells found in the liver are hepatocytes. They play an essential role in regulating the metabolism of a number of key molecules in the body. List 5 major functions of the liver and in sentences please describe an example of each function. To gain full marks you need to write sentences for your answer, abbreviated or single word answers will not gain full marks. (2 marks per function) What is the mass of a 1690 kg/m object that is 0.893 m in size? number Submit Question unit kg Jump to Answer 1 Can a single coil transformer be made? yes or no2 In a balanced three-phase systemWhat does each phase voltage have in common and what do they have different?Same: Amplitude. Different: FrequencySame: Phase. Miscellaneous: VoltageSame: Phase. Different: FrequencySame: Amplitude. Different: Phase Draw three panels/sketches indicating before, during, and afterthe eruption that created Crater Lake, include legible labels andshort notes describing what your sketch shows. Include major rock types magma chamber eruption style eruption products processes that led to caldera formation. Design a single phase step down transformer bearing the following parameters: Input voltage 1 = 100 ,Frequency = 50 Hz ,Output voltage 2 = 12 ,Output current 2 = 0.5 Core dimensions provided in Figure , Wire diameter 0.3 or 0.5 mm (tip: use 0.3 for the primary and 0.5 for the secondary) ,When loaded, the voltage should drop of at most 2 V. The load is a power resistor of 20 to 30 ohms. Please use the standard wire gauge to mm table to find your SWG value and utilize this in turn to find your turns per square centimetre. use the "E-I" lamination. a flux density between 1.1 and 1.35 Wb/m2 can be used. 3. The power rating of 6 VA with a voltage of 100 volts at the primary and 12 volts at the secondary. Show calculation of current, number of turns required if the turns per voltage are 3.6. The frequency of the transformer is 50 Hz. Water is the working fluid in an ideal Rankine cycle. Superheated vapor enters the turbine at 12MPa, 480C, and the condenser pressure is .4 bar. Determine for the cycle(a) the heat transfer to the working fluid passing through the steam generator, in kJ per kg of steam flowing.(b) the thermal efficiency.(c) the heat transfer from the working fluid passing through the condenser to the cooling water, in kJ per kg of steam flowing. An airplane flies over a straight route connecting two radio beams located at 18 miles from each other. Given that the angles of depression [check the textbook, page 485 . for the definitionl are. respectivelv. 25 . and 34 . find the altitude. 22mi Hint. The altitude from the plane to the ground does not split the 22 miles distance between the beams in two equal parts. You may call the two pieces x, and y, with x+y=22. Note how they form, with the altitude, two right triangles. The relation between x and y, together with the eam effectiveness PowerPoint presentation information that I can use to help with my presentation up to 10 slidestitle is team effectiveness need help asapDevelop your PowerPoint slide plan for your presentation.The submission should include an1) Introduction slide- completed and2) conclusion slide completed.3) slide style you will use for your presentation. What is the density of superheated steam at a temperature of 823 degrees celsius and 9000 kPa? What br compound would be required to react with (CH-CH),Cali in order to form the following compound? Draw the molecule on the canvas by choosing buttons from the Tools (for bonds and charges), Cryolite, Na, AIF, (s), an ore used in the production of aluminum, can be synthesized using aluminum oxide. Balance the equation for the synthesis of cryolite. equation: AlO, (s)+NaOH(1)+HF(g) Na,