True or false - A risk ratio and an odds ratio are different names for the same concept

The current stock price is $54.15.

Given that  RLX Company just paid a dividend of $2.85 per share on its stock and dividends are expected to grow at a constant rate of 4.5 percent per year, indefinitely.

Stock valuation alludes to the valuation of the natural worth per portion of an organization's stock which can help the organization in deciding its reasonable worth in case of twisting up or consolidation. One of the models used to esteem the stock cost is the profit development model. It expects the cost of the stock to be the current worth representing things to come profits of the stock accepted to develop at a consistent rate.

Dividend (D0) = $2.85

Growth rate (g) = 4.5%

Required return (r) = 10%

Firstly, we have to calculate the value of the current stock price.

The current stock price can be calculated by using the dividend growing model.

\(\begin{aligned}\text{Current stock price}&=\frac{D_{0}\times(1+g)}{r-g}\\ &=\frac{2.85\times (1+0.045)}{0.10-0.045}\\ &=\frac{2.85\times 1.045}{0.055}\\ &=\frac{2.97825}{0.055}\\ &=54.15\end\)

Hence, the current stock price when dividend of $2.85 are expected to grow at a constant rate of 4.5 percent per year, indefinitely is $54.15.

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The most accurate way to estimate the percentage of the given value = ¼×66. Which is option C

Percentage is defined as the representation of a given value all over 100 and is given with a symbol of %.

The given value.= 66

The 26% of 66 would be given as follows;

26/100 × 66/1

= 1716/100

= 17.16

Therefore, the most accurate way to represent 26 percentage of 66 would be = ¼ × 66 which would be = 16.5 and is approximately 17.

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Complete question:

Which is the most accurate way to estimate 26% of 66

¼×64

⅔×60

¼×66

⅔×60

The equatiοn fοr the ellipse is \(x^{2} / 144 + y^{2} / 80 = 1.\)

An ellipse is a type οf geοmetric shape that is defined as a clοsed curve that is shaped like an elοngated circle. An ellipse can be thοught οf as a stretched οr flattened circle, and it has twο distinct fοci (plural οf "fοcus"), which are special pοints lοcated within the shape.

The standard fοrm equatiοn fοr an ellipse centered at the οrigin with vertices lοcated οn the x-axis and fοci οn the x-axis is:

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

where a is the distance frοm the center tο each vertex, and c is the distance frοm the center tο each fοcus, related by the equatiοn \(c^{2} = a^{2}- b^{2}.\)

The ellipse is centred at the origin in this puzzle, and its centre (0, 0). The vertices are located at (-12, 0) and (12, 0), so the distance between each vertex and the centre is 12 units. The foci are located at (-8, 0) and (8, 0), so the separation between each foci is equal to 8.

Using the equatiοn \(c^{2} = a^{2} - b^{2}\), we can sοlve fοr b:

\(c^{2} = a^{2} - b^{2}\)

\(8^{2} = 12^{2} - b^{2}\)

\(64 = 144 - b^{2}\)

\(b^{2} = 80\)

Nοw we can substitute the values οf a and b intο the standard fοrm equatiοn:

\((x^{2} / 12^{2}) + (y^{2} / 80) = 1\)

Simplifying, we get:

\(x^{2} / 144 + y^{2} / 80 = 1\)

Therefοre, the equatiοn fοr the ellipse centered at the οrigin with vertices lοcated at (-12, 0) and (12, 0) and fοci at (-8, 0) and (8, 0) is

\(x^{2} / 144 + y^{2} / 80 = 1.\)

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Answer:

Let's work out the intercepted points:

-4x + 8 = -3x^2 + 5x + 2

<=>

3x^2 - 9x + 6 = 0

<=>

x^2 - 3x + 2 = 0

<=>

(x - 1)(x - 2) = 0

<=>  

x = 1 => y = -4 x 1 + 8 = 4 => A(1, 4)

and

x = 2=> y = -4 x 2 + 8 = 0 =>B(2, 0)

Then, length of chord AB is calculated by:

L = sqrt [(2 - 1)^2 + (0 - 4)^2)] = ~4.123

Answer:

362 the answer

Step-by-step explanation:

follow nmn i hope its help

Answer:

add otherwise I don't know sorry im on that question

Step-by-step explanation:

ANSWER

0.008

EXPLANATION

We are given the number below:

It is given in scientific notation. We want to write this in standard notation.

In the number above, we have that the decimal point is after 8:

Now, since the power is negative 3, we move the power three times to the left and fill the spaces with zeros:

That is the standard notation.

Answer:

  XY is tangent to circle Z

Step-by-step explanation:

You want to know if segment XY, measuring 3.6 units, is tangent to circle Z at point X. Segment YZ has length 1.8 units outside the circle, which has radius 2.7 units.

If the triangle XYZ is a right triangle, then we have ...

  XY² +XZ² = YZ²

  3.6² +2.7² = (1.8 +2.7)²

  12.96 +7.29 = 20.25 . . . . . true

Segment XY is a tangent.

If segment YZ is extended across the circle, the lengths of the segments from Y to the circle intersection points are 1.8 and (1.8 +2·2.7) = 7.2. The relation between the secant and the "tangent" will be ...

  3.6² = (1.8)(7.2) . . . . . true

This means XY is a tangent.

Answer:

I think the triangle is not a parallelogram because it is three sided. A parallelogram needs 4 sides.

Step-by-step explanation:

Answer:

Divide both sides by 18. The new coefficients will be the reciprocals of the intercepts:

\(6x-3y=18 \rightarrow \frac6{18}x - \frac3{18}y = 1 \rightarrow \frac x3-\frac y6 =1\) The two intercepts are then 3 and -6.

(I know, dividing by 3 both sides of the equations would have made the whole process way easier).

Alternatively, plug x = 0 to find the y intercept and y=0 to find the x intercept. Either way the graph will look something like the one I'm sketching on paint.

Answer:

kdmdmsmskslslslekdjdjdkdkdkdkdjeieieid

Answer:

domain : - ∞ < x < 1

Step-by-step explanation:

the function is increasing on the upward part of the curve. that is

from negative infinity to the vertex at (1, 3 )

domain : - ∞ < x < 1

Answer:A

Step-by-step explanation:

Mrs.Miller earns 12 dollars on day one. Mr.Taylor earns 10 dollars.

Answer:

So.... Based on hotbabe's answer, Mrs. Millers class has a $2 greater daily increase.

Step-by-step explanation:

$12-$10=$2

Answer: 732 mi

Step-by-step explanation:

Assuming you meant 24.4

Answer:

Step-by-step explanation:

1. Put the words into math

3  3 1/4 divided by 2 3/8 equals a b/c.= 3 1/4/2 3/8

3 1/4/2 3/8=

1 7/19

2. Answer: 1 7/19

Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

The United States' decision to remain neutral was motivated by its over $1 billion in annual trade with Europe.

Early 20th-century American trade with Europe helped the US remain neutral by enabling it to maintain business ties with both the Allied and Central Powers.

The US was able to avoid taking a political stance and maintain its neutral status by supplying goods to both sides of the conflict. Additionally, trade helped the US maintain its economic stability because it would have been detrimental to the nation's economy to break off trade with one party.

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The value of X when <1 = 3x+15 = 25. Then the value of the missing part of the sides of the kite (KITE) is given as follows;

X = 25

a.) ET = 60

b.) KE = 20

One of the properties of a kite is that it has two pairs of adjacent equal sides and the longer diagonal bisects the shorter one with the formation of angle 90°.

Therefore to calculate for X when <1 = 3x+15 is as follows;

<1 = 90°

90= 3x+15

3x = 90-15

3x = 75

X = 75/3

X = 25

But IT = ET

Given IT = 2x +20

X = 25

IT = ET = 2(20)+20

= 40+20 = 60

But KI = KE

Given that KI = 2x-30

X = 25

KI= KE = 2(25)-30

= 50-30 = 20

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\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively

Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class

The given parameters that will help us to get the percentage are

Mean height of the class = 152 cm

Mean height of the boys = 158 cm

The standard deviation of the boys = 5 cm

Mean height of the girls = 148 cm

Standard deviation of the girls = 4 cm

(1) The percentage of boys in the class is

Total mean height = 158 +148 = 306

Percentage = 158/306 * 100 = 51.6%

Then the  percentages 51.6/100 * 152 = 78%

(2) The total standard deviation of all the students

Boys + girls = 5+4 = 9 cm

Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively

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Answer:

I dont know what you want me to do. But if you wanted it simpilfied its

−20.8.

Step-by-step explanation:

Answer:

-20.8

Step-by-step explanation:

( (-7.2)2 - 6.4) × (1.8 + (-0.8) )

-7.2 still -7.2

then -7.2 × 2 = -14.4

-14.4 - 6.4 = -20.8

-20.8 × (1.8 + (-0.8) )

-0.8 still -0.8

-0.8 = -0.8

1.8 - 0.8 = 1

-20.8 × 1 = -20.8

Answer:

At the ones place if you subtract one (1) from five (5) you get four (4).

At the tens place if you subtract four (4) from (9) you get five (5).

At the hundreds place if you subtract two (2) from four (4) you get two (2).

At the thousands place if you subtract one (1) from two (2) you get one (1).

At the ten thousands place if you subtract zero (0 - there is no number at the ten thousands place of the subtrahend. And zero which stands for none can be taken in case of any confusion.)

Hope this helps you...

Hope you have a nice day ahead...

Answer:

the point (13, 22.6°) is almost exactly (12, 5) in Cartesian Coordinates.

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis is:

\(H_o: \mu = 8\)

The alternative hypothesis is:

\(H_1 : \mu \ne 8\)

The sample size n = 35

Sample mean = 7.91

variance = 0.03

Standard deviation = \(\sqrt{0.03} = 0.173\)

The t-test statistics is computed as:

\(t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}\)

\(t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}\)

\(t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}\)

t = - 3.0741

Degree of freedom:

df = n - 1

df = 35 - 1

df = 34

Level of significance = 1 - C.I

= 1 - 0.99

= 0.01

The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:

\(t_{critical} = -2.728 \ and \ 2.728\)

Decision rule: To reject \(H_o\) if  \(t< -2.728 \ or \ t > 2.728\)

As \(t_{statistics}\) fails the rejection region, we reject \(H_o\)

Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.

You can use hypothesis testing with t test to know if there is enough evidence that he machine should be stopped and production wait for repairs.

There is enough evidence that the machine should be stopped and production wait for repairs.

Let the population mean be denoted by \(\mu\)

Null hypothesis: \(\mu = 8\) (that is, machine needs no repair and working fine)

Alternate hypothesis: \(\mu \neq 8\) (that is, machine is not dispensing right amount and need repairs)

Using t test:

\(t = \dfrac{\overline{x} - \mu}{\dfrac{s}{\sqrt{n}}}\)

\(t = \dfrac{7.91- 8}{\dfrac{0.1732}{\sqrt{35}}} = -0.30821\)

Degree of freedom = sample size - 1 = 34

Level of significance = \(\alpha = 1 -0.99 = 0.01\)

From t tables we have:

\(t_{critical} = t_{0.01} = \pm 0.278\) (two tailed test) (at 34 degree of freedom)

Since obtained value of t -0.30821 is less than the minimum value of range \((-0.278, 0.278)\), thus lying outside the range and thus, we cannot accept the null hypothesis and end up accepting the alternate hypothesis.

Thus, there is enough evidence that the machine should be stopped and production wait for repairs.

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According to the square root of the given terms, The options A And C is correct which is:

Square root of one hundred thirty > one hundred eleven

One hundred eleven > square root of one hundred thirty.

According to the statement

we have to compare the square root of the 130 and 111 with the given options.

So, For this purpose, we know that the

Square root is a factor of a number that, when multiplied by itself, gives the original number.

So, From the given information:

The numbers are 130 and the 111.

Then

Square root of 130 = 11.40

And

Square root of 111 = 10.53.

Now compare it with the given options:

A.

square root of one hundred thirty > one hundred eleven

11.40 > 10.53

This is correct option.

B.

square root of one hundred thirty = one hundred eleven

11.40 = 111

This is wrong option.

C.

one hundred eleven > square root of one hundred thirty

111 > 11.40

This is a correct option.

D.

one hundred eleven < square root of one hundred thirty

111 < 11.40

This is a wrong option.

So, According to the square root of the given terms, The options A And C is correct which is:

Square root of one hundred thirty > one hundred eleven

One hundred eleven > square root of one hundred thirty.

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Answer:

Step-by-step explanation:

                                                   error

Answer:

x ≈ 75.2

Step-by-step explanation:

using the tangent ratio in the right triangle

tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )

40 × tan62° = x , then

x ≈ 75.2 ( to the nearest tenth )

The perimeter of triangle ABC = 60 + 20√3  cm

What is perimeter?

The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.

In triangle ADB,

sin (30°) = AD/AB

1/2 = ( 10 √3 ) /AB

AB  = 20√3

In triangle ABC,

cos (30°) = AB/BC

√3 /2 =  20√3 / BC

BC = 40

tan (30°) = AC/AB

1/√3 =  AC/ 20√3

AC = 20

Perimeter of triangle ABC =  AB +BC  + AC

                                           = 20√3  +  40  + 20

                                           = 60 + 20√3

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The general solution to the given differential equation is:

y = (x/12) - (1/288)

How to solve the Differential Equation?

We want to solve the differential equation given as: y' - 24xy = -2x

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).

Multiplying the entire equation by the integrating factor, we get:

e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)

The left side of the equation is the derivative of (e^(-24x)y) with respect to x:

(d/dx)(e^(-24x)y) = -2xe^(-24x)

Integrating both sides with respect to x, we have:

e^(-24x)y = ∫(-2xe^(-24x))dx

Integrating the right side, we get:

e^(-24x)y = -∫(2xe^(-24x))dx

To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):

u = -2x (differential of u = -2dx)

dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)

Using the integration by parts formula:

∫uv dx = uv - ∫v du

We can compute the integral as follows:

-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]

= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]

= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]

= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]

= -[x/12e^(-24x) - 1/(288e^(-24x))]

= -[x/12 - 1/288]e^(-24x)

Substituting this back into the previous equation, we have:

e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]

Simplifying further:

e^(-24x)y = (x/12 - 1/288)e^(-24x)

Canceling out e^(-24x) on both sides:

y = x/12 - 1/288

Therefore, the general solution to the given differential equation is:

y = x/12 - 1/288

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Answer:

n=8

Step-by-step explanation:

3n=−8+4n

Simplify both sides of the equation.

3n=4n−8   (there isn't so It stays the same.

Subtract 4n from both sides.

3n−4n=4n−8−4n

−n=−8

Divide both sides by -1.

−n/-1 =−8/-1

Answer:

n=8

Answer:

postal services, highways, national defense, public health care, fire department

Step-by-step explanation:

sorry i added more