60 is what percent of 180?

Answer: 16.8

Step-by-step explanation:

\(\frac{5.8}{r}=\tan 19^{\circ}\\\\\frac{r}{5.8}=\frac{1}{\tan 19^{\circ}}\\\\r=\frac{5.8}{\tan 19^{\circ}}}\\\\r \approx 16.8\)

Where is the table?

The given statement exists true that the general least-squares problem exists if an is a m × n matrix and b is in r m.

The least squares method uses statistics to determine which set of data points fits a set of data points the best by minimizing the sum of the offsets or residuals of the data points from the plotted curve. To predict how dependent variables will behave, least squares regression is used.

The technique that we used to compute a least-squares solution of Ax = b is;

Compute the matrix A T A as well as the vector A T b .

Form the required augmented matrix for the given matrix equation A T Ax = A T b , and then row reduce.

This equation exists always consistent, and as such any solution K x will be a least-squares solution.

By definition, the least squares problem is to estimate xˆ such that |Axˆ − b| ≤ |Ax − b| for all x in IRⁿ.

This means that we are to find a vector x that creates Ax (which exists in the Col(A)) as close to b as possible.

The complete question is:

If a is an m × n matrix and b is in r m, the general least-squares problem is to find an x that makes ax as close as possible to b. true or false?

To learn more about Least squares solution refer to;

brainly.com/question/23305357

#SPJ1

The tree diagram illustrates the probabilities associated with different combinations of weather patterns and seasons of the year. The tree diagram is a visual representation that presents the probabilities of various outcomes resulting from the combination of weather patterns and seasons of the year.

It is a useful tool for understanding the likelihood of specific events occurring based on different factors.

The diagram is structured hierarchically, with the weather patterns forming the first level and the seasons of the year forming the second level. Each branch represents a specific combination, and the probability associated with that combination is indicated on the branch.

By analyzing the diagram, one can observe how the probabilities change depending on the weather patterns and seasons. For instance, certain weather patterns may be more prevalent during specific seasons, resulting in higher probabilities for certain combinations.

Overall, the tree diagram serves as a visual aid to comprehend the probabilities associated with simple events combining weather patterns and seasons of the year, enabling a better understanding of the likelihood of different outcomes based on these factors.

Learn more about probability here: https://brainly.com/question/31828911

#SPJ11

The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.

A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.

To know more about matrices here: brainly.com/question/29102682

#SPJ11

Answer:

3/-2........-1.5 as decimal

Step-by-step explanation:

slope formula=y2-y1/x2-x1

6+3/-1-5

9/-6

3/-2..........or-1.5 as deciamal

474 is the Annual percentage rate (APR).

What is APR in plain English?

If you have a balance on your credit card, you will pay an annual percentage rate (APR) of interest. The cost of borrowing money is what you pay in interest on a credit card. The interest rates on credit cards are often expressed as an annual rate. The yearly percentage rate is used to describe this (APR).

                     Certain credit cards feature variable APRs, which means that your rate may increase or decrease over time.

$331.16 * 24 + 775 - 7775 = 947.84

She over paid $ 947.84

24 months equals two years.

  947.84/2 = 473.92 ≈ 474

Learn more about Annual percentage rate (APR)

brainly.com/question/12571149

#SPJ1

The correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.

What is property of similar triangle?

If the corresponding sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are similar.

They have parallel corresponding sides, and they have angles with the same measure.

hence, the correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.

To learn more about property of similar triangle visit,

https://brainly.com/question/11920446

#SPJ13

Answer: lost 4 lbs every month

Step-by-step explanation:

24 divided by 6

= 4

Answer:

The elephant lost 4 pounds each month

Step-by-step explanation: if the elephant lost the same weight each month then you would need to divide 24 by 6 and you would get 4 .which is the elphants change in weight each month. Hope this helps!

The critical numbers of a function occur at the points where the derivative is either zero or undefined. To find the critical numbers of the function f(x) = \(-2x^3 + 27x^2 - 84x + 10,\) we need to find its derivative f'(x) and set it equal to zero.

Differentiating f(x) with respect to x, we get f'(x) = \(-6x^2 + 54x - 84\). Setting f'(x) equal to zero and solving for x gives us:

\(-6x^2 + 54x - 84 = 0\)

Dividing the equation by -6, we have:

\(x^2 - 9x + 14 = 0\)

Factoring the quadratic equation, we find:

(x - 2)(x - 7) = 0

So the critical numbers occur at x = 2 and x = 7.

Therefore, the values of A and B are A = 2 and B = 7.

To determine whether these critical numbers correspond to local maxima or minima, we need to evaluate the second derivative f''(x) of the function.

Differentiating f'(x) = \(-6x^2 + 54x - 84\), we obtain f''(x) = -12x + 54.

Substituting x = 2 into f''(x), we get:

f''(2) = -12(2) + 54 = 30

Substituting x = 7 into f''(x), we get:

f''(7) = -12(7) + 54 = 6

Since f''(2) > 0, it implies a concave up shape, indicating a local minimum at x = 2. On the other hand, f''(7) < 0 indicates a concave down shape, suggesting a local maximum at x = 7.

Therefore, f(x) has a local minimum at A (x = 2) and a local maximum at B (x = 7).

To know more about Local Minimum visit-

brainly.com/question/29184828

#SPJ11

The conditional distribution of x given that x < y is an exponential distribution with rate λ/(λ+μ).

We can start by using the definition of conditional probability:

\(P(x < y | x) = P(x < y and x) / P(x)\)

We know that x and y are independent, so we can write:

\(P(x < y and x) = P(x < y) P(x)\)

The probability density function of an exponential distribution with rate λ is given by:

f(x) = λ e^(-λx)

Therefore, we can write:

P(x) = ∫[x, ∞) λ e^(-λt) dt = e^(-λx)

Similarly,

P(x < y) = ∫[0, ∞) ∫[x, ∞) λ e^(-λx) μ e^(-μy) dy dx

= ∫[0, ∞) λ e^(-λx) [1 - e^(-μx)] dx

= 1 / (λ + μ)

Substituting these expressions in the original equation, we get:

P(x < y | x) = P(x < y) P(x) / P(x)

= P(x < y)

= (λ / (λ + μ))

Therefore, the conditional distribution of x given that x < y is an exponential distribution with rate λ/(λ+μ).

Learn more about conditional probability

brainly.com/question/30144287

#SPJ11

Answer:

Okay

Step-by-step explanation:

want me to come over to your place

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

Learn more about Perimeter of a rectangle at

https://brainly.com/question/29595517

#SPJ4

The shell method, we integrate 2πrh*dx, where r is the distance from the axis of revolution to the shell,

The volume of the solid generated by revolving the region bounded by the line y = f(x), where f(x) is a function, using the shell method, we integrate 2πrh*dx, where r is the distance from the axis of revolution to the shell, h is the height of the shell, and dx represents an infinitesimally small change in x.

The limits of integration are determined by the intersection points of the line y = f(x) with the x-axis. We evaluate the integral from the lower limit to the upper limit to obtain the volume of the solid.

The shell method allows us to calculate the volume by considering infinitesimally thin cylindrical shells perpendicular to the axis of revolution.

Learn more about shell method

brainly.com/question/30401636

#SPJ11

Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

For more questions on: integers

https://brainly.com/question/17695139

#SPJ8  

Answer:

Step-by-step explanation:

We can use the formula for the volume of a pyramid, which is:

V = (1/3) * B * h

where V is the volume, B is the area of the base, and h is the height.

In this case, we have a triangular pyramid, so the base is a triangle. Let's call the length of the base x, and the height of the pyramid h. Then, the area of the base is:

B = (1/2) * x * h

Substituting into the formula for the volume, we get:

256 = (1/3) * (1/2) * x * h * h

Simplifying and solving for h, we get:

256 = (1/6) * x * h^2

h^2 = (256 * 6) / x

h = sqrt((256 * 6) / x)

Now, let's use the given information that the three sides of the base have lengths x, 2x, and 3x, to find the area of the base:

B = (1/2) * x * (2x + 3x) / 2

B = (5/4) * x^2

Substituting this and the expression for h into the formula for the volume, we get:

256 = (1/3) * (5/4) * x^2 * sqrt((256 * 6) / x)^2

Simplifying, we get:

256 = (5/4) * x^2 * sqrt(1536 / x)

256 = (5/4) * x^2 * (sqrt(1536) / sqrt(x))

256 = (5/4) * x^2 * (12 / sqrt(x))

256 = 15 * x * sqrt(x)

Squaring both sides, we get:

65536 = 225 * x^3

Dividing both sides by 225, we get:

x^3 = 65536 / 225

Taking the cube root of both sides, we get:

x = (65536 / 225)^(1/3)

x ≈ 6.4

Therefore, the value of x is approximately 6.4 units.

An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

Learn more about outcomes here:

https://brainly.com/question/32511612

#SPJ11

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the line above

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{4}}} \implies \cfrac{3 +2}{-1 -4}\implies \cfrac{5}{-5}\implies \cfrac{1}{-1}\implies -1 \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{-1}} ~\hfill \stackrel{reciprocal}{\cfrac{-1}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{-1}{1}\implies 1}}\)

Answer:

1.5x + 2

Step-by-step explanation:

(3x + 4)/2 = 1.5x + 2

Answer:

1,520 pounds

Step-by-step explanation:

40x 38 = 1520

The mean of the sample means, also known as the expected value of the sample mean, is equal to the population mean.

When all possible outcomes of size n are selected from a population and the mean of each sample is determined, the sample means to represent a sampling distribution. The mean of this sampling distribution denoted as the expected value of the sample means or simply the mean of the sample means, is equal to the population mean.

This result is derived from the concept of sampling. Each sample is a random selection from the population, and on average, these samples will reflect the characteristics of the population. Therefore, the mean of the sample means represents the average value that would be obtained if an infinite number of samples of size n were taken from the population. Since each sample mean is an unbiased estimator of the population mean, the mean of the sample means will be equal to the population mean. This property holds under certain conditions, such as when the sampling is random and independent.

Learn more about number here:

https://brainly.com/question/3589540

#SPJ11

A fter solving system of equations, we can conclude that, you should buy 60 Polo Shirts, 20 T- Shirts, 120 Rugby Shirts.

Let, x be the number of T-shirts, y be the number of polo shirts and z be the number of rugby shirts

A clothing store and budget $6000 to restock 200 shirts.

So, we get an equation,

x + y + z = 200                      ...................(1)

If you want to have twice as many rugby shirts as polo shirts.

So, we get an equation,

z = 2y                                   ......................(2)

You can buy T-shirts for $12 each, polo shirts for $24 each, and rugby shirts for $36 each.

So, we get an equation,

12x + 24y + 36z = 6000

We rewrite above expression as,

x + 2y + 3z = 500                         ..............(3)

Now we substitute z = 2y, into equations (1) and (3)

x + y + 2y = 200

x + 3y = 200                               ..................(4)

and equation (3) becomes,

x + 2y + 3(2y) = 500

x + 8y = 500                               ...............(5)

After solving equations (4) and (5) we get,

y = 60 and x = 20

Now substitute above value of y in equation z = 2y

z = 2(60)

z = 120

Therefore, after solving system of equations, we can conclude that, you should buy 60 Polo Shirts, 20 T- Shirts, 120 Rugby Shirts.

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ1

Answer:

1/4

Step-by-step explanation:

\(2^{4}\) x \(2^{3}\) = 16 x 8 = 128 = numerator

\(2^{5}\) x \(2^{4}\) = 32 x 16 = 512 = denominator

128/512 = 1/4 if you divide both numbers by 128 then you get 1 over 4 = 1/4

Answer:

The Answer is A) X=6+3/10

Step-by-step explanation:

x = 6 + 3 √ 10 ,  6 − 3 √ 10

Decimal Form:

x  =  15.48683298 ,  − 3.48683298

he area of one loop of the rose r = 2cos(30) is 6π.To find the area of one loop of the rose curve r = 2cos(30), we can use a double integral in polar coordinates. The loop is traced by the angle θ from 0 to 2π.

The area formula in polar coordinates is given by:
A = ∫∫ r dr dθ

For the given rose curve, r = 2cos(30) = 2cos(π/6) = √3.

Therefore, the double integral for the area becomes:
A = ∫[0 to 2π] ∫[0 to √3] r dr dθ

Simplifying the integral, we have:
A = ∫[0 to 2π] ∫[0 to √3] √3 dr dθ

Integrating with respect to r gives:
A = ∫[0 to 2π] [√3r] evaluated from 0 to √3 dθ
A = ∫[0 to 2π] √3√3 - 0 dθ
A = ∫[0 to 2π] 3 dθ
A = 3θ evaluated from 0 to 2π
A = 6π

Therefore, thethe area of one loop of the rose r = 2cos(30) is 6π.

to learn more about integral click here:brainly.com/question/31109342

#SPJ11

The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

To know more about Power consumption visit-

brainly.com/question/32435602

#SPJ11

Answer:

yes

Step-by-step explanation:

the x-axis are different

Answer:

yes

Step-by-step explanation:

this is a function because it is many-to-one

(11,3)

(8,3)

they both have the same output (y) but not the same input (x) it is a function.

if it has the same input (x) and different outputs (y) if is not a function then.

Answer:

Step-by-step explanation:

Number of pounds for 4.75 = 4.75 ÷ 1.90 = 2.5 pounds

Step-by-step explanation:

24x^2_54x_15=0

(12X +3 ) ( 2X _5 ) . = O

12x +3 =0

X= - 1/4

or

2x _ 5=0

X = 5/ 2

The equation that shows the factor for the quadratic equation is \((12x +3)(2x - 5) = 0\)

The equation is given as:

\(24x^2 - 15 = 54x\)

Equate to 0

\(24x^2 - 15 - 54x = 0\)

Rewrite as:

\(24x^2 - 54x - 15 = 0\)

Expand the above equation

\(24x^2 -60x + 6x - 15 = 0\)

Factorize the above equation

\(12x(2x -5) + 3(2x - 5) = 0\)

Factor out 2x - 5

\((12x +3)(2x - 5) = 0\)

Hence, the equation that shows the factor for the quadratic equation is \((12x +3)(2x - 5) = 0\)

Read more about quadratic factors at:

https://brainly.com/question/19573654