What would be the sampling interval if we are using a manual approach to monetary unit sampling for a book value of $2,000,000 and a sample size of 200

The nearest degree of the measure of the angle having trigonometric ratios are answered below.

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others. Review the sine, cosine, tangent, cotangent, secant, and cosecant trigonometric ratios. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle.

Given Data

Trigonometry  Ratios:

1) cosine x = 0.8988

cos⁻¹ = 26.103°

2) sine x = 0.6691

sine⁻¹ x = 41.99°

3) tangent x = 2.50

tan⁻¹ x = 68.2°

4) tan x = 20

tan⁻¹ x = 87.14°

5) sin x = \(\frac{6}{11}\)

sin⁻¹ x = 0.518

6) cos x =\(\frac{7}{9}\)

cos⁻¹ = 0.7

To learn more about Trigonometric  Ratios, visit:

https://brainly.com/question/25122832

#SPJ13

Answer:

The scale factor that transforms quadrilateral ABCD to quadrilateral A'B'C'D' is 3

Step-by-step explanation:

Quadrilateral ABCD has the following coordinates

A(1, 5), B(2, 6), C(3, 3) and D(1, 3)

The image A'B'C'D' has the following coordinates;

A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)

The length of segment \(\overline {AB}\) = √((2 - 1)² + (6 - 5)²) = √2

The length of segment \(\overline {BC}\) = √((3 - 6)² + (3 - 2)²) = √10

The length of segment \(\overline {CD}\) = √((1 - 3)² + (3 - 3)²) = 2

The length of segment \(\overline {DA}\) = √((1 - 1)² + (3 - 5)²) = 2

For quadrilateral, we have;

A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)

The length of segment \(\overline {A'B'}\) =  √(0 - (-3))² + (4 - 1)²) = 3·√2

The length of segment \(\overline {B'C'}\) = √((3 - 0)² + (-5 - 4)²) = 3·√10

The length of segment \(\overline {C'D'}\) = √((-3) - 3)² + (-5 - (-5))²) = 6

The length of segment \(\overline {D'A'}\) = √((-3) - (-3))² + ((-5) - 1)²) = 6

The scale factor that transforms quadrilateral ABCD to A'B'C'D' is given as follows;

\(The \, scale \, factor \, of \, transformation = \dfrac{\overline {A'B'}}{\overline {AB}} = \dfrac{\overline {B'C'}}{\overline {BC}} = \dfrac{\overline {C'D'}}{\overline {CD}} = \dfrac{\overline {D'A'}}{\overline {DA}} = 3\)

Therefore, the scale factor that transforms quadrilateral ABCD to A'B'C'D' = 3

If the variable attractiveness increases while the variable weight remains constant, the correlation is said to be a positive correlation. A positive correlation means that as one variable increases, the other variable also tends to increase.

For example, let's consider a study examining the relationship between the attractiveness of a person and their weight. If the study finds that as attractiveness increases, weight also tends to increase while keeping other factors constant, then we can say there is a positive correlation between attractiveness and weight.

In this case, the variable attractiveness is increasing while the variable weight remains constant. This means that as attractiveness increases, weight also tends to increase, indicating a positive correlation.

It's important to note that correlation does not imply causation. Just because two variables are correlated does not necessarily mean that one variable causes the other to change. Correlation simply measures the strength and direction of the relationship between two variables.

To know more about correlation :

https://brainly.com/question/28175782

#SPJ11

Answer:

75

15:20

75:100

20*5=100

15*5=75

Step-by-step explanation:

Hope this helps!!

Mark me brainliest!!

Answer:

Step-by-step explanation:

A = P(1 + r/n)nt for compound interest

A = final amount

p = principal invested

r = interest rate as a decimal

t = # years invested

In this case A = 1200(1 + .03/1)1(3)

A = 1200(1.03)3

A = 1311.27

To find how much of the final total was interest you must subtract out the principal amount invested

I = 1311.27 - 1200 = $111.27

Siobhan deposits $1200 into a savings account that pays 5.2% annual interest compounded monthly. The amount will be $269.75.

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

\(CI = P\left(1 +\dfrac{R}{100}\right)^T - P\)

The final amount becomes:

\(A = CI + P\\\\A = P\left(1 +\dfrac{R}{100}\right)^T\)

A = P(1 + r/n)nt for compound interest

A = final amount

p = principal invested

r = interest rate as a decimal

t = # years invested

In this case

\(A = 1200\left(1 +\dfrac{5.2}{100}\right)^4\)

A = 1200 ( 1.22)

A = 1469.75

The total was interest you must subtract out the principal amount invested.

I = 1469.75 - 1200

I = $269.75

Learn more about compound interest here:

https://brainly.com/question/11897800

#SPJ2

The quadrilateral given is Parallelogram.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

(a) The quadrilateral is sketched as shown in the graph below.

(b) We have to write the equation of four lines AB, BC, CD and AD in the form y = mx + b. m is slope and b is intercept along Y axis.

Coordinates of vertices are A(-5, 2), B(-2, 6), C(3, 5) and D(0,1).

Equation of line AB :

Slope = (6 - 2) / (-2 - -5) = 4/3

Equation in point slope form is

(y - 2) = 4/3(x - -5)

y - 2 = 4/3 x + 20/3

y = 4/3 x + 26/3

Equation of line BC :

Slope = (5 - 6) / (3 - -2) = -1/5

Equation in point slope form is,

(y - 6) = -1/5 (x - -2)

y - 6 = -1/5 x - 2/5

y = -1/5 x + 28/5

Equation of line CD :

Slope = (1 - 5) / (0 - 3) = -4/-3 = 4/3

Equation in point slope form is,

y - 5 = 4/3 (x - 3)

y - 5 = 4/3 x - 4

y = 4/3x + 1

Equation of line AD :

Slope = (1 - 2) / (0 - -5) = -1/5

Equation in point slope form is,

y - 1 = -1/5 (x - 0)

y - 1 = -1/5 x

y = -1/5 x + 1

(c) Opposite sides are having the same slope.

From the sketch, opposite sides are equal.

So quadrilateral is either parallelogram or rectangle.

But if the figure is rectangle, adjacent sides are perpendicular and therefore the product of their slope is -1.

But it is not the case here.

So it is parallelogram.

Hence the given figure is a parallelogram.

Learn more about Quadrilaterals here :

https://brainly.com/question/29934291

#SPJ1

The value of correct option for maps ΔABC to a triangle that is similar, but not congruent, to ΔABC are,

⇒  dilation with scale factor 2 about the origin

We have to given that;

To find correct option for maps ΔABC to a triangle that is similar, but not congruent, to ΔABC

Since, We know that;

For any translation the condition of congruency is not change.

But for any type of dilation condition of congruency for triangles are change.

Thus, The value of correct option for maps ΔABC to a triangle that is similar, but not congruent, to ΔABC are,

⇒  dilation with scale factor 2 about the origin

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ1

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

To know more about interest visit:

https://brainly.com/question/30393144

#SPJ11

\(\boxed{\underline{\bf \: ANSWER}}\)

\( \sf\frac { 3 + p } { 2 } = 6 \\ \)

Multiply both sides by 2.

\( \sf \: 3+p=6\times 2 \)

Multiply 6 and 2 to get 12.

\( \sf \: 3+p=12 \)

Subtract 3 from both sides.

\( \sf \: p=12-3 \)

Subtract 3 from 12 to get 9.

\( \boxed{\bf \: p=9} \)

____

Hope it helps.

RainbowSalt2222

The ordered pair of the equation 3x +2y = 6 will be ( 0,3) and ( 2 , 0).

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

We have an equation 3x + 2y = 6 now the ordered pair of the equation will be found by the graph will be ( 0,3) and ( 2, 0). The graph is also attached with the answer below.

Therefore the ordered pair of the equation 3x +2y = 6 will be ( 0,3) and ( 2 , 0).

To know more about equations follow

https://brainly.com/question/2972832

#SPJ1

The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

To learn more about partial derivative, click here: brainly.com/question/2293382

#SPJ11

Part-A:-

\(\\ \sf\longmapsto x^2+3x-70(4x-12)\)

\(\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840\)

\(\\ \sf\longmapsto -8x^2+48x+560\)

Now

\(\\ \sf\longmapsto (f.g)(3)\)

\(\\ \sf\longmapsto -8(3)^2+48(3)+560\)

\(\\ \sf\longmapsto -72+144+560\)

\(\\ \sf\longmapsto 72+560\)

\(\\ \sf\longmapsto 632\)

Part-B:-

\(\\ \sf\longmapsto f(3)\)

\(\\ \sf\longmapsto (3)^2+3(3)-70\)

\(\\ \sf\longmapsto 9+9-70\)

\(\\ \sf\longmapsto 18-70\)

\(\\ \sf\longmapsto -52\)

Now

\(\\ \sf\longmapsto g(f(3))\)

\(\\ \sf\longmapsto g(-52)\)

\(\\ \sf\longmapsto 4(-52-3)\)

\(\\ \sf\longmapsto 4(-55)\)

\(\\ \sf\longmapsto -220\)

Part:-C

\(\\ \sf\longmapsto g(-2)\)

\(\\ \sf\longmapsto 4(-2-3)\)

\(\\ \sf\longmapsto 4(-5)\)

\(\\ \sf\longmapsto -20\)

Now

\(\\ \sf\longmapsto f(g(-2))\)

\(\\ \sf\longmapsto f(-20)\)

\(\\ \sf\longmapsto (-20)^2+3(-20)-70\)

\(\\ \sf\longmapsto 400-60-70\)

\(\\ \sf\longmapsto 400-130\)

\(\\ \sf\longmapsto 270\)

Part-D:-

\(\\ \sf\longmapsto (g.f)(-2)\)

\(\\ \sf\longmapsto -8(-2)^2+48(-2)+560\)

\(\\ \sf\longmapsto 32-96+560\)

\(\\ \sf\longmapsto -64+560\)

\(\\ \sf\longmapsto 496\)

Answer:

B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

If a radius of a circle and a tangent to a circle intersect at the point of tangency, then the radius and the tangent are perpendicular.

Answer: B.

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

Answer:

Each student received 16 fl oz of milk or 1 pint

Step-by-step explanation:

Step-by-step explanation:

A=7x+3+13x-7

B=2x+3-3x

P=x+3+2x+2-x-1(hope those are the numbers)

C=?

7x+3+13x-7+2x+3-3x+C=x+3+2x+2-x-1

22x-1+C=2x+4

C=2x+4-22x+1

C=-20x+3

The minimum length of the other side is 3 cm.

Given that the area of the rectangle is 40 cm², and one side of the rectangle is exactly 10 cm, we can find the maximum and minimum lengths of the other side by dividing the area by the known side length.

Let's denote the length of the other side as x cm. Since the area of a rectangle is the product of its length and width, we have the equation:

10 cm \(\times\) x cm = 40 cm²

To find the maximum length, we assume that x is the largest possible value. Therefore, rounding up the result of the division:

x = 40 cm² / 10 cm

x = 4 cm

So, the maximum length of the other side is 4 cm.

For the minimum length, we assume x is the smallest possible value. Rounding down the result of the division:

x = 39 cm² / 10 cm

x = 3.9 cm

Since the length cannot be a decimal value, we round down to the nearest whole number.

Hence, the minimum length of the other side is 3 cm.

For more such answers on Decimal

https://brainly.com/question/28393353

#SPJ8

Dr. Gavin will need to examine four main effects in a 2 x 4 independent-groups factorial design. This is because a factorial design involves two or more independent variables, each of which has two or more levels or conditions.

There are two independent variables in this situation, each having four levels. Dr. Gavin will need to look at the primary effects of each independent variable in order to determine its consequences.

Regardless of the levels of the other independent variables, the major effects are the total impacts of each independent variable on the dependent variable.

In other words, Dr. Gavin must look at each independent variable's effects independently, without taking into account the impact of the other independent variable. He must therefore consider a total of four key consequences.

To learn more about variables visit:

https://brainly.com/question/28248724

#SPJ4

Answer:

-2,6

is the inequality..........

what's the real ans plz tell me

I'm willing to know..

The solutions to the system of equations f(x) = g(x), from the function's graphs, are given as follows:

1. x = 0 and x = 2.

2. x = 0.

3. x = 0 and x = 2.

The graphical solution of a system of equations is composed by the points of intersection of the functions that form the system.

For item 1, the functions are given as follows:

Hence the correct graph is the bottom graph, as it contains a linear function with intercept at -3 and the exponential function shifted down four units.

From the correct he points of intersection are given as follows:

x = 0 and x = 2.

For item 2, the functions are given as follows:

Hence the top graph is the correct graph and the point of intersection is given as follows:

x = 0.

For item 3, the functions are given as follows:

Hence the top graph is the correct graph and the points of intersection are given as follows:

x = 0 and x = 2.

More can he learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

slope of the rode is 0.015.

What is slope of line ?

Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.

The point with coordinate having same slope as with given coordinates can be plotted on the same line.

Here, it is given that :

When driving up a certain hill, we rise 15 feet for every 1000 feet that is :

for 15 feet up = 1000 feet forward

Now,

slope = upward distance / horizontal distance covered

slope = 15/1000

slope = 0.015

slope is a unitless quantity.

Therefore, slope of the rode is 0.015.

check and know more about slope here :

https://brainly.com/question/14914699

#SPJ1

There are 56 different ways to select three different integers from 1 to 10 such that no two chosen integers are consecutive.

To determine the number of ways to select three different integers from 1 to 10 such that no two chosen integers are consecutive, we can use combinatorics principles.

First, let's consider the total number of ways to choose three integers without any restrictions. This can be calculated using the combination formula:

C(n, r) = n! / (r!(n-r)!)

In this case, we have 10 integers to choose from, and we want to choose 3. Therefore, the total number of ways to choose three integers without any restrictions is:

C(10, 3) = 10! / (3!(10-3)!) = 10! / (3!7!) = 120

Now, let's consider the restricted condition that no two chosen integers can be consecutive. We can approach this by selecting three non-consecutive integers from the available set.

To do this, we can start by choosing any integer, then excluding its two adjacent integers. For example, if we choose 1, we cannot choose 2 or 3. Similarly, if we choose 10, we cannot choose 9 or 8.

Since there are two adjacent integers to exclude for each choice, we have 8 integers remaining to choose from. Therefore, the number of ways to select three non-consecutive integers is:

C(8, 3) = 8! / (3!(8-3)!) = 8! / (3!5!) = 56

To learn more about combination click on,

https://brainly.com/question/24344074

#SPJ4

If the bond was issued on May 1, 1999, and it is currently May 2, 2009, the bond's time to maturity can be calculated by finding the difference between the current date and the maturity date.

Maturity date: May 1, 2019

Current date: May 2, 2009

To calculate the time to maturity, we subtract the current year from the maturity year:

2019 - 2009 = 10

Therefore, the bond's time to maturity is 10 years.

The other options are incorrect:

9 years: This is the number of years between the issue date and the maturity date, but it does not take into account the time that has already passed since the bond was issued.

19 years: This is the number of years between the issue date and today, but it does not take into account the fact that the bond will mature in 10 years.

20 years: This is the number of years between today and the maturity date, but it does not take into account the fact that the bond was issued in 1999.

Learn more about bond maturity and calculations here:

https://brainly.com/question/32720711

#SPJ11

The student needs to score 64 points on the 80-point test to get a test score of 80%.

Let x be the number of points the student needs to score on the 80-point test to get a test score of 80%. We can set up the proportion:

x/80 = 80/100

In words, this proportion says that the ratio of the student's score (x points) to the total points on the test (80 points) is equal to the ratio of the desired test score (80%) to 100%.

We can simplify this proportion by multiplying both sides by 80:

x = (80/100) x 80

x = 64

Therefore, the student needs to score 64 points on the 80-point test to get a test score of 80%.

To know more about ratios follow

https://brainly.com/question/29238356

#SPJ1

The correlation coefficient that best represents a moderate relationship showing fewer anxiety symptoms is a negative correlation coefficient.

In a negative correlation, as one variable increases, the other variable decreases. In the context of anxiety symptoms, a negative correlation would indicate that as one factor (e.g., a particular intervention, treatment, or activity) increases, the number or severity of anxiety symptoms decreases. This suggests a moderate relationship between the two variables, indicating that the higher the value of the independent variable, the lower the value of the dependent variable (in this case, fewer anxiety symptoms).

The correlation coefficient ranges from -1 to 1, with -1 representing a perfect negative correlation, 0 representing no correlation, and 1 representing a perfect positive correlation. A correlation coefficient close to -1, but not reaching -1, would be indicative of a moderate negative correlation and would best represent a moderate relationship showing fewer anxiety symptoms.

To know more about correlation coefficient,

https://brainly.com/question/3229398

#SPJ11

Answer:

0.25

Step-by-step explanation:

maybe this will work .

Answer:

-------------------------------------

Ratios of corresponding sides are equal.

a. The graph of y = f(2x) is shown in the image below.

b. The graph of y = ½g(x) is shown in the image below.

In Mathematics, the vertex form of the equation for an absolute value function can be modeled by the following:

y = a|x - h| +k.

Where:

Part a.

By critically observing the graph of the parent absolute value function, we can reasonably and logically deduce that f(x) = -|2x| was horizontally stretched by a factor of 2 in order to produce the transformed absolute value function as follows;

f(x) = -|2x|

y = f(2x)

y = -|4x|

Part b.

By vertically shrinking the parent absolute value function by a factor of 1/2 in order to produce the transformed absolute value function, we have:

g(x) = -|2x|

y = ½g(x)

y = -½|2x|

Read more on absolute value function here: brainly.com/question/28308900

#SPJ1

Answer:

I'm not really understanding this question can you give me some more info