Instructions: Find the length of the missing sides. Round your answers to the nearest tenth. (Hint: Always make sure to label your triangle first with your reference angle)
degree: 32
hypotenuse: 15
How do i get x and y ?

Answer:

Step-by-step explanation:

I am assuming that the equations are typed correctly meaning

x/2+3=3x/2-1

x/2-3x/2=-1-3

-2x/2=-4

-2x=-8

x=4

So the expressions are equal only when x=4

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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Answer:

330 miles

Step-by-step explanation:

If in 2 hours he drove 110 and you need to know how much miles will he have drove in 6, first you need to know if 2 is a multiple of 6, in this case it is so now you just divide 6/2 which is 3 so you multiply 110X3 wich gives you 330

Answer:

55

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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According to the histogram 35% of the graph is found between 50 and 65.

We can estimate the proportion of the graph between 50 and 65

By calculating the area under the density curve.

To do this, we can use the trapezoidal rule,

⇒ Area = 0.5 x (55 - 50) x (1 + 3) + 0.5 x (65 - 55) x (3 + 3)

⇒ Area = 5 x 2 + 10 x 3

⇒ Area = 35

The total area under the density curve is equal to 100 percent per unit. Therefore,

The proportion between 50 and 65 is,

⇒ Proportion = (35 / 100) x 1 Proportion

                      = 0.35

So, 35% of the graph is found between 50 and 65.

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The complete question is :

In order to calculate how many postcards he sold, multiply €0.30 by (45.9 + 42) to get €97.20.

Multiplication, division, addition, and subtraction are all possible in mathematics. Expression, number, and mathematical operator are the components of a mathematical expression (such as addition, subtraction, multiplication, or division, etc.). Expressions and phrases can be contrasted. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For instance, the phrase 4m + 5 consists of the terms 4m and 5, as well as the provided expression's variable m, all of which are separated by the arithmetic sign +.

given

A stationer sells 17 magazines for €2.70 each, for a total of €45.9; 28 newspapers cost €1.50 each,

for a total of €42; and

x postcards, for a total of €0.30x,

for a total of €97.20.

In order to calculate how many postcards he sold, multiply €0.30 by (45.9 + 42) to get €97.20.

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The true statements about the dilation are as follows;

The scale factor is One-eighth

The coordinates of the C prime are (0.75, 0.5).

The coordinates of B prime are (–0.25, 1).

Given

A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4).

If A prime has coordinates of (–0. 25, 0. 5) after the triangle has been dilated with a center of dilation about the origin.

Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation, and translation.

Dilation is the enlargement or reduction in the size of an object. If a point X(x, y)  is dilated about the origin by a factor k, its new location is X'(kx, ky).

Triangle ABC with vertices at A(–2, 4), B(–2, 8), and C(6, 4) is dilated to give A'(-0.25, 0.5)

kA = A'

(-2k, 4k) = (-0.25, 0.5)

-2k = -0.25, hence k = 1/8

Therefore the scale factor is 1/8 (one- eight)

The new location of the vertices is B'(-0.25, 1), C'(0.75, 0.5)

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Two digit prime numbers formed by choosing two different digits from the given {2,7,8,9} set of numbers are 97, 29, 79, 89.

As given in the question,

Given set of numbers are :

{ 2,7,8,9}

Two digit prime numbers formed by given set of numbers are as follow:

When 2 and 8 are at unit place, number formed is a even composite number which is not prime.

Number formed when 7 at unit place are:

27, 87, 97 from which only 97 is prime.

Number formed when 9 at unit place are:

29, 79, 89 all three are prime numbers.

Therefore, two digit prime numbers formed by choosing two different digits from the given {2,7,8,9} set of numbers are 97, 29, 79, 89.

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There is insufficient evidence to conclude that those with the high incomes are the ones that have the more credit scores.

We have the bar x = 705.9

The value of n = 34

mean = 724 . 1

standard deviation = 83.4

the level of significance = 5 percent level

The Hypothesis formulation

The null hypothesis H0 = u 705.9

alternative hypothesis = H1 u > 705.9

The t test is given as x - u / s /√n

= (724.1 - 705.9) / (83.4 / √34)

= 1.2725

The degree of freedom = 34 - 1 = 33

The test that we have here is a right tailed test

The p value for the test is given as probability of p (t33 > t)

= 0.1064

From the solution that we have here, we can see that the p value that has been calculated is greater than the level of significance.

Given that this is the case, the decision rule would be for us not to reject the null hypothesis.

There is insufficient evidence to the claim that the high income persons have the greater credit scores.

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Using an exponential function, it is found that the half-life of the substance is of 5.23 units of time.

The function is given by:

\(A(t) = A(0)e^{-kt}\)

In which:

The parameters are given by:

A(0) = 48,  k = 0.1325.

Hence the equation is:

\(A(t) = 48e^{-0.1325t}\)

The half-life is the amount of time for which A(t) = 0.5A(0) = 24, hence:

\(A(t) = 48e^{-0.1325t}\)

\(24 = 48e^{-0.1325t}\)

\(e^{-0.1325t} = 0.5\)

\(\ln{e^{-0.1325t}} = \ln{0.5}\)

\(0.1325t = -\ln{0.5}\)

\(t = -\frac{\ln{0.5}}{0.1325}\)

t = 5.23.

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Answer:

the answer is equal to 90%of 11.3921 which is 1.25313= 1.253

Answer: A

Step-by-step explanation:

Answer:

Graph A

Step-by-step explanation:

We know rootover can never be negative

So

So it lies in right side of y axis

The range shifts to 4 th quadrant i.e [0,-oo)

So graph A is correct

Answer:

31

Step-by-step explanation:

Since be is in the middle its connecting the two.

So you will add the 11 and 20 to get 31

Answer: D.)  16 units

Step-by-step explanation:

The y-values are the same, so the coordinates lie on a horizontal line.

Find the difference between the x-values.

-21 -(-5) = -16   Subtracting a negative is like adding a positive.

-21 + 5 =  -16   The distance is an absolute value, so disregard the negative sign.

Hexadecimal and binary are two numbering systems that are commonly used in computing. Binary is a base-2 numbering system, which means it uses only two digits, 0 and 1, to represent all numbers. Hexadecimal, on the other hand, is a base-16 numbering system, which means it uses 16 digits, from 0 to 9 and A to F, to represent numbers.

One hexadecimal digit can represent 16 different values, while one binary digit can represent only two values (0 or 1). This means that one hexadecimal digit can represent 16 times as many values as one binary digit.

To understand this better, let's consider an example. The binary number 1111 is equivalent to the hexadecimal number F. In binary, 1111 can represent only one value, which is 15 in decimal. However, in hexadecimal, the digit F can represent 16 different values, from 0 to 15 in decimal.

Therefore, using hexadecimal notation can be more efficient and compact than using binary notation, especially when dealing with large numbers. In addition, hexadecimal is often used in computing to represent memory addresses, color codes, and other values that need to be represented in a compact and easily readable format.

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Answer:

The Answer is 400

Step-by-step explanation:

Answer: 702

Step-by-step explanation:

From the question, we are informed that the parking lot of a theater has a capacity of 1118 cars and that on Monday, the ratio of the empty parking spots to occupied parking spots is 16:27.

Based on the ratio given, the number of cars that were parked there on that day will be:

= 27/(16 + 27) × 1118

= 27/43 × 1118

= 27 × 26

= 702 cars

(i) False. The statement is not true. The integral of a holomorphic function over a closed contour in its domain can be non-zero. This is evident from Cauchy's integral theorem, which states that the integral of a holomorphic function over a closed contour is zero if the function is analytic throughout the region enclosed by the contour.

(ii) True. If a function has an antiderivative on a domain G, then by the fundamental theorem of calculus for line integrals, the integral of the function over any closed contour in G is zero. This is because the existence of an antiderivative implies that the function is conservative, and the line integral of a conservative vector field over a closed curve is zero.

(iii) False. The statement is not true. The integral of a holomorphic function over a positively oriented circle may not tend to zero as the radius of the circle approaches zero. Counterexamples can be found by considering functions with singularities on the circle.

(iv) True. This statement is true due to the existence of the primitive function theorem for holomorphic functions. If a function is holomorphic on a domain G, then it has a primitive function (antiderivative) that is also holomorphic on G.

(v) False. The statement is not true. There exist entire functions that are constant on a circle but not constant on the entire disk enclosed by that circle. An example is the function f(z) = e^z, which is entire and constant on the unit circle but not constant on the entire unit disk.

(vi) True. If the integral of the square root of a function over any closed contour is zero, then it implies that the real and imaginary parts of the function satisfy the Cauchy-Riemann equations. This is a consequence of the Cauchy-Riemann differential equations being necessary conditions for a complex function to have a complex square root.

(vii) False. The statement is not true. Not every entire function can be represented as the derivative of another entire function. Counterexamples can be found by considering entire functions with essential singularities, such as the exponential function e^z.

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Answer:

a

Step-by-step explanation:

did it on egde 100 percent

Answer:

the rate of change is -5.

Step-by-step explanation:

y = -5x - 3

-5 = rate of change

-3 = x intercept

Answer:

95%

Step-by-step explanation:

95% of 2,320 = 2204

2320 - 2204 = 116

Answer:

364.5789473684211

Step-by-step explanation:

Answer:

4.65 British pound sterling

Step-by-step explanation:

\(7.50*0.62 = 4.65\)

7.5 U.S. dollars = 4.65 British pound sterling

The third vertex of the second triangle can be found by using the fact that the second triangle is similar to the first. Since the sides of the second triangle are parallel to the sides of the first, the ratio of the lengths of the corresponding sides must be the same. This ratio is known as the scale factor and can be used to find the length of one side of the second triangle, which in turn can be used to find the location of the third vertex.

To find the scale factor, we can choose a side of the first triangle and a corresponding side of the second triangle, and then find the ratio of their lengths. For example, we can choose the side connecting (1,5) and (2,3) in the first triangle, and the corresponding side connecting (3,4) and (6,-2) in the second triangle. The length of the first side is √(2^2 + (-2)^2) = 2√2, and the length of the second side is √(3^2 + (-6)^2) = 3√5. Therefore, the scale factor is 3√5 / (2√2) = (3/2)√5.

Now, we can use this scale factor to find the length of another side of the second triangle, such as the side connecting (3,4) and the unknown third vertex. Let the coordinates of the third vertex be (x,y). Then, the length of this side is √[(x-3)^2 + (y-4)^2]. Using the scale factor, we have:

√[(x-3)^2 + (y-4)^2] / 2√2 = (3/2)√5

Simplifying this equation gives:

(x-3)^2 + (y-4)^2 = 45

This is the equation of a circle centred at (3,4) with a radius √45 = 3√5. The third vertex of the second triangle must lie on this circle and have sides parallel to the first triangle. One possible point on this circle is (0,1), which can be translated to the right by 3 and up by 4 to get the final answer of (3,5).

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12-(-85)+45+(-36)

negative 1 multiply negative 85 will leave an positive 85 and positive 1 multiply negative36 will also leave negative answer then you simplify to get 106

Answer

1

Step-by-step explanation:

Any number multiplied to the 0 power is going to equal 1. it is just one of those things that is a rule and it is important to remember.

The amount of wrapping paper for the gift is A = 279 inches²

Given data ,

To calculate the amount of wrapping paper Laura will need to wrap the gift, we need to find the total surface area of the gift.

The surface area of a rectangular box is given by the formula:

Surface Area = 2 x (length x width + length x height + width x height)

Given that the length of the gift is 6 inches, the width is 13.5 inches, and the height is 3 inches, we can substitute these values into the formula:

Surface Area = 2 x (6 x 13.5 + 6 x 3 + 13.5 x 3)

Surface Area = 2 x (81 + 18 + 40.5)

Surface Area = 2 x 139.5

The surface area of a rectangular box = 279 inches²

Hence , Laura will need 279 inches² of wrapping paper to wrap the gift

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Answer: y=9x

Step-by-step explanation:

Answer:

y = 9x

Step-by-step explanation:

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