fadil sells televisions. He earns $15 a fixed amount for each television and an additional if the buyer gets an extended warranty. If sells 12 televisions with extended​ warranties, he earns 1140
. How much is the fixed amount earns for each​ television?

-1299

The negative sign gets distributed.

Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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Answer:

i) a = 2, b = - 3, c =-6

Step-by-step explanation:

4x² - 12x + 3

4x² - 6x - 6x + 9 - 6

(2x - 3)(2x - 3) - 6

(2x - 3)² - 6

(2x + (- 3) )² - 6

In form of (ax + b)² - 6

a = 2, b = - 3, c =-6

In a regression analysis, the error term ε is a random variable with a mean or expected value of zero. The correct option is a.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Given:

Analysis is a regression analysis.

And the error term in regression analysis:

The error term, which refers to the total of the deviations within the regression line and explains the discrepancy between the theoretical value of the model and the actual observed results, denotes the margin of error inside a statistical model.

ε = Epsilon or error term.

The variation in the dependent variable that the independent factors do not explain is taken into account by the error term.

The values of the error term should be determined by random chance.

The average value of the error term must be equal to zero in order for your model to be impartial.

Therefore, error term is zero.

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The equation of the tangent plane to f(x, y) = x^2 - 2xy + 3y^2, with slopes 2 in the positive x direction and 2 in the positive y direction, is 2x + 4y - 8 = 0.

To locate the equation of the tangent airplane to the floor described with the aid of the feature f(x, y) = \(x^2 - 2xy + 3y^2\), we need to decide the gradient vector and consider it at a given point.

The gradient vector will grant the ordinary vector to the tangent plane, and by way of the use of the slope information, we can discover the equation of the plane.

Calculate the partial derivatives of the feature with recognize to x and y:

f_x = 2x - 2y

f_y = -2x + 6y

Set up a device of equations the use of the given slope information:

f_x = 2

f_y = 2

Solve the machine of equations to discover the factor where the slopes are satisfied:

2x - 2y = 2 --> x - y = 1 --> x = y + 1

-2x + 6y = 2 --> -x + 3y = 1 --> -x = 1 - 3y --> x = 3y - 1

Setting the two expressions for x equal to every other:

y + 1 = 3y - 1

2 = 2y

y = 1

Substitute y = 1 into both expression for x:

x = 1 + 1

x = 2

Therefore, the factor the place the slopes are comfy is (2, 1).

Evaluate the gradient vector at the factor (2, 1):

grad(f) = (f_x, f_y) = (2x - 2y, -2x + 6y)

= (2(2) - 2(1), -2(2) + 6(1))

= (2, 4)

The ordinary vector to the tangent airplane is the gradient vector (2, 4).

Using the point-normal structure of the equation for a plane, the equation of the tangent airplane is:

2(x - 2) + 4(y - 1) + d = 0

To decide the price of d, alternative the coordinates of the factor (2, 1):

2(2 - 2) + 4(1 - 1) + d = 0

0 + 0 + d = 0

d = 0

The equation of the tangent airplane is:

2(x - 2) + 4(y - 1) = 0

Simplifying the equation, we have:

2x - 4 + 4y - 4 = 0

2x + 4y - 8 = 8

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Answer:

The demand schedule shows exactly how many units of a good or service will be bought at each price. Using this data, economists and industry analysts can create a demand curve. Both the curve and the schedule describe the relationship between a good's price and the quantity demanded of that good.

Step-by-step explanation:

(a) The number 72% is a D. statistic.

(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.

It is related to statistics and parameters.

(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.

A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.

(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.

A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.

In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.

The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.

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The least common denominator for this pair of algebraic fractions: p/4 and p/16 is 16.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In the case, the fraction is illustrated as p/4 and p/16.

It should be noted that the lowest common multiple for 4 and 16 is 16. This is the denominator.

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In the given problem, the probability that the next arrival does not occur until at least five minutes have passed since the last arrival is e^(-5/3) ≈ 0.188.

Let X be the time between two consecutive arrivals. Then, X is exponentially distributed with a mean of 3 minutes.

We want to find the probability that the next arrival does not occur until at least 5 minutes have passed since the last arrival. Let Y be the time between the last arrival and the next arrival. We want to find P(Y >= 5).

Since X is exponentially distributed with mean 3, its probability density function is given by:

f(x) = (1/3) * e^(-x/3), for x >= 0

The cumulative distribution function (CDF) of X is:

F(x) = 1 - e^(-x/3), for x >= 0

Now, let's consider Y. Since we want to find P(Y >= 5), we can condition on the time of the last arrival, say t. Then:

P(Y >= 5) = ∫(from 0 to infinity) P(Y >= 5 | X = x) * f(x) dx

where P(Y >= 5 | X = x) is the probability that the next arrival occurs at least 5 minutes after the last arrival, given that the time between two consecutive arrivals is x.

If the last arrival occurred at time t, then the next arrival occurs at time t + Y. Since Y >= 5, we have t + Y >= t + 5. Therefore, we need to find the probability that X >= t + 5 - t = 5, given that X = x. This probability is:

P(X >= 5 | X = x) = ∫(from 5 to infinity) f(x) dx = e^(-5/3)

Substituting this into the expression for P(Y >= 5), we get:

P(Y >= 5) = ∫(from 0 to infinity) e^(-5/3) * (1/3) * e^(-x/3) dx

= e^(-5/3) * ∫(from 0 to infinity) (1/3) * e^(-x/3) dx

= e^(-5/3) * 1/3 * 3

= e^(-5/3)

Therefore, the probability that the next arrival does not occur until at least five minutes have passed since the last arrival is e^(-5/3) ≈ 0.188.

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The equation of the ellipse with foci (0,14) and co-vertices at (±4,0) is \(x^2/16+y^2/36\).

An ellipse is a geometric shape that is defined as the set of points such that the sum of the distances between the points and two fixed points (foci) is constant. It is a type of conic section and is defined by the equation:

\((x^2/a^2) + (y^2/b^2) = 1\)

Where a and b are the semi-major and semi-minor axes, respectively. An ellipse can also be defined as the shape that results from the intersection of a plane and a cone at an angle that is not perpendicular to the base of the cone.

\(c=14, b=4, a²=b²+c²== > a=2√9\\x^2/b^2 + y^2/a^2\\x^2/16+y^2/36\)

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Answer:

48

Step-by-step explanation:

There are 2 half-miles per every mile

2*24=48

The slope formula is m= y2-y1/x2-x1.

m= 4-0/2-5

m=4/-3

Therefore, 4/-3 is the slope.

Answer:

The first option, incase something happens to the president, they’re next in line.

Step-by-step explanation:

Answer:

Isosceles triangle

62 + 62 + x = 180

124 + x = 180

-124        -124

x = 56 degrees

The person's average speed during her commute is 33.75 mph.

The speed of an object can be obtained by comparing the distance covered to the traveling time needed.

speed = distance / time

Take a look at the problem. As the information given is time in minutes and speed in miles per hour (mph), then we have to convert the time into an hour unit.

Total time = 20 minutes = 20/60 hour = 1/3 hour

Break time = 5 minutes

Commuting time = 20 - 5 = 15 minutes

                                         = 15/60 hour = 1/4 hour

Given the speed = 45 mph, then the distance covered during commuting time is:

Distance = speed x time

              = 45 x 1/4

              = 11.25 miles

Then we can calculate the average time, by comparing the distance covered to the total time:

Average speed = distance / total time

                          = 11.25 / 1/3

                          = 33.75 mph

Thus the average speed during the commute is 33.75 mph.

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The distribution of values taken by a statistic in all possible samples of the same size from the same population is known as the sampling distribution of the statistic.

In other words, it refers to the distribution of a particular statistic, such as the sample mean or sample proportion, if we were to take all possible samples of a given size from a population.

The sampling distribution is an important concept in statistics because it allows us to make inferences about a population based on a sample.

By examining the sampling distribution of a statistic, we can determine the range of values that the statistic is likely to take and calculate the probability of observing a particular value or range of values.

This information can be used to make inferences about the population parameter from which the sample was drawn.

For example, suppose we want to estimate the mean income of all individuals in a particular city. We could take a random sample of individuals from the city and calculate the sample mean.

The sampling distribution of the sample mean would then give us information about the range of values that the true population mean is likely to take, as well as the probability of observing a particular sample mean.

This information could be used to construct confidence intervals or perform hypothesis tests to make inferences about the population mean.

In summary, the sampling distribution is a key concept in statistics that allows us to make inferences about a population based on a sample. It refers to the distribution of values taken by a statistic in all possible samples of the same size from the same population.

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Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

What is matrix ?

A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,

1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.

2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.

3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.

4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

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Answer:

y=x-4

Step-by-step explanation:

Writing this in slope-intercept form or y=mx+b.
y = y coordinate
m = slope
x = x coordinate
b = y intercept (where the line intercepts on the y axis)

The slope is 1 because it's moving up and if you move over 1 unit to the right, then 1 unit up, you would cross another point. The y-intercept is -4 because that's where the line intercepts the y-axis.

Hence, the equation would be y=x-4

Note: I did not have y=1x-4 because 1x is the same as x.

Assuming the same percentage rate of population growth from 2018 to 2024 as from 2000 to 2018, the world's population in 2024 would be approximately 9.23 billion.

To calculate this, we first need to find the annual percentage rate of growth from 2000 to 2018. We can do this using the formula:

\(Annual growth rate = (final population / initial population)^{1 / number of years} - 1\)

Plugging in the values, we get:

\(Annual growth rate = (7.504 billion / 6.081 billion)^{1 / 18} - 1\)

Annual growth rate = 1.20%

Now we can use this growth rate to estimate the population in 2024. To do this, we can use the formula:

Population in 2024 = 7.504 billion * (1 + annual growth rate)^(number of years from 2018 to 2024)

Plugging in the values, we get:

Population in 2024 = 7.504 billion * (1 + 0.0120)^(6)

Population in 2024 ≈ 9.23 billion

Therefore, if the world's population continues to increase at the same percentage rate from 2018 to 2024 as it did from 2000 to 2018, the world's population would have been approximately 9.23 billion in 2024.

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Answer:

a^2 - 5ab

Step-by-step explanation:

[3a * (a-b)] - [2a * (a+b)]

[3a(a) - 3a(b)] - [2a(a) + 2a(b)]

3a^2 - 3ab - (2a^2) - (2ab)

3a^2 - 2a^2 - 3ab - 2ab

a^2 - 5ab

Therefore, Alvin's average paddling rate for a canoe trip to a campsite was 6 km/hr

Let's find out Alvin's average paddling rate for a canoe trip to a campsite.The distance Alvin paddled on the way to the campsite is the same as on the way back since he travelled to the same place and back to his initial location.

The rate at which Alvin paddled to the campsite is given by the relation;

r - 3 = (total distance)/(time taken to get to the campsite).

Where r is Alvin's average paddling rate, 3 is the speed of the river current, the total distance is D, and the time taken to get to the campsite is 9 hours.

On the way back, Alvin's rate of paddling is given by;

r + 3 = (total distance)/(time taken to get back from the campsite).

Where r is Alvin's average paddling rate, 3 is the speed of the river current, the total distance is D, and the time taken to get back from the campsite is 4 hours.Since the distance Alvin paddled to and from the campsite is the same, we can use D = rt.

Therefore, we can get an equation in r only:

r - 3 = D/9(r) + 3

r= D/4

Now, we need to solve for D. We can do this by setting both expressions equal to each other. That is:

r - 3 = r + 3D/9

r-3 = D/4(4)D/9

r-3= D/4

Multiplying both sides by 36 gives:

4D = 9D/4 * 36D

D= 81 km

Therefore, the distance of the campsite is 81 km.

Using D = rt,

we can find the average paddling rate r:

r = D/t

r = 81/(9 + 4) r

r = 6 km/hr.

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Answer:

(1) Pr(none)= .71

(2) Pr(exactly 2)= .0154

(3) Pr(at least 1)= .29

(4) Pr(exactly 1)= .271

(5) Pr(exactly 3)= .000275

(6) Pr(at most 2)= .99

Bolded answers might be wrong, I am a bit unsure on those ones

Answer:

This system of equations has no solution since the first one says:

x

2

−

y

=

8

while the second one gives us:

x

2

−

y

=

−

(

y

−

x

2

)

=

−

0

=

0

and  

8

≠

0

Step-by-step explanation:

Given:

The function f is continuous on the interval [3, 11].

Required:

to find the approximate value f'(9).

Explanation:

The function f(x) is continuous on [3,11].

So

Final Answer:

The predetermined overhead rate is the estimated manufacturing overhead cost per unit of a specific allocation base.

In the options, there are four different rates:

1. $10.00 / MH (MH stands for machine hour): This means that the estimated manufacturing overhead cost per machine hour is $10.00.

2. $17.50 / MH: This indicates that the estimated manufacturing overhead cost per machine hour is $17.50.

3. $20.00 / MH: This implies that the estimated manufacturing overhead cost per machine hour is $20.00.

4. $32.86 / MH: This shows that the estimated manufacturing overhead cost per machine hour is $32.86.

Each rate represents the estimated cost of manufacturing overhead per unit of the allocation base (machine hour) and is used to allocate overhead costs to products or services based on their usage of the allocation base.

The specific rate chosen depends on the nature of the business, its cost structure, and the accuracy of the estimated overhead costs.

The correct question is ''What is the predetermined overhead rate?\(\( \$ 10.00 / \mathrm{MH} \) \( \$ 17.50 / \mathrm{MH} \) \( \$ 20.00 \) / MH \( \$ 32.86 / \mathrm{MH} \)\).''

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Answer:

I really need help on this one but I got 9 could you tell me if it’s right?

Step-by-step explanation:

The numbers 7 and 14, 28 and 7 have the greatest common factor. The correct options are A and B.

The largest factor of the two numbers which divides both the numbers is called as greatest common factor or GCF. In other words, the greatest common factor is the largest positive number which can be divided into given numbers evenly.

Given the number is 7 the pair of numbers having the greatest common factor is calculated below:-

For pairs 7 and 14. Both the numbers are the multiple of 7 it can be divided by 7. The greatest common factor will be 7 for pairs 7 and 14.

Similarly for pairs 7 and 28. Both the numbers are the multiple of 7 it can be divided by 7. The greatest common factor will be 7 for pairs 7 and 28.

Therefore, the numbers 7 and 14, 28 and 7 have the greatest common factor. The correct options are A and B.

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We need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

To determine Leo's profit for the first day, we need more information than what is provided in the question. The notebook shows the money earned and spent, but the given information stops at "10," without specifying whether it represents money earned or money spent. Additionally, we don't have any other earnings or expenses mentioned in the question.

To calculate the profit, we need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

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