Solve the formula for the surface area of a cone for the height of the cone.​

a. The joint distribution of the numbers of black, white, and red balls in the sample is given by P(x, y, z) = nCx * nCy * nCz / (p + q + r)Cn, where x is the number of black balls, y is the number of white balls, z is the number of red balls, and n is the total number of balls chosen.

b. The joint distribution of the numbers of black and white balls in the sample is given by P(x, y) = nCx * nCy / (p + q)Cn, where x is the number of black balls, y is the number of white balls, and n is the total number of balls chosen.

c. The marginal distribution of the number of white balls in the sample is given by P(y) = nCy / qCn, where y is the number of white balls, and n is the total number of balls chosen.

To learn more about distribution refer :

https://brainly.com/question/14310262

#SPJ11

Answer:

See below!

Step-by-step explanation:

1. 5g + h = g

4g = -h

g = \(-\frac{h}{4}\)

2. y = mx + b

y - b = mx

m = \(\frac{y - b}{x}\)

3. 3y + z = am - 4y

7y = am - z

y = \(\frac{am - z}{7}\)

4. km + 5x = 6y

km = 6y - 5x

m = \(\frac{6y - 5x}{k}\)

5. \(\frac{3ax - n}{5} = -4\)

3ax - n = -20

3ax = n - 20

x = \(\frac{n-20}{3a}\)

6. \(\frac{by+2}{3}= c\)

by + 2 = 3c

by = 3c - 2

y = \(\frac{3c-2}{b}\)

7. at + b = ar - c

at - ar = -b - c

a(t - r) = -(b + c)

a = \(-\frac{b+c}{t-r}\)

Given the number of espresso sold at Chestnut Hill Coffee Cafe as either a single-shot or a double-shot, the percentage of double-shot espressos sold is 43.48%.

Percentage is simply number or ratio expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given the data in the question;

Percentage = ( Part / Whole ) × 100%

Percentage = ( Part double / Whole ) × 100%

Percentage = ( 20 / 46 ) × 100%

Percentage = 0.43 × 100%

Percentage = 43.48%

Given the number of espresso sold at Chestnut Hill Coffee Cafe as either a single-shot or a double-shot, the percentage of double-shot espressos sold is 43.48%.

Learn more about Percentages here: brainly.com/question/24159063

#SPJ1

Answer:

B and C

Step-by-step explanation:

Answer:

B/C

Step-by-step explanation:

i just did it :)

Answer:

.05 or 1/20

Step-by-step explanation:

If you meant 3/10 divided by 6 then the answer is .05 aka 1/20

May I have brainliest if this helped you?

Hope this helped!!

Bella was here :)

You either meant the fraction 3/10 by 6 or 3 divided 10 divided by 6

Since I am not sure which one, I will do the work for both

1. 3/10 / 6

Convert 6 into a fraction

6 = 5 10/10

5 10/10=50/10

3/10 / 50/10

3/10 * 10/50 = 30/500

30/500= 3/50

3/50

2. 3 divided by 10 divided by 6

3 divided by 10 = 0.3

0.3 divided by 6 = 0.05

0.05

Hope this helps

Answer:

it's 650 and 350

Step-by-step explanation:

3x+3y=3000

7x+6y=6650

7x+6y-2(3x+3y)=x=650

plug x in the first equation and then divide u find the 350

Answer:

4(x+5)+3 = 4x+23

Step-by-step explanation:

second option: 4(x)+4(5)+3 = 4x + 20 + 3 or 4x + 23

Answer:

Parallel

Step-by-step explanation:

So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point

For example use the following equations

y = x + 2  

y = x + 3  

In the graph, these equations are parallel

There would be about 12 pieces of fruit in the bag.

The measure of the base of the triangle is 14 ft.

A triangle is a polygon with three sides.  The sum of angles in a triangle is 180 degrees.

Therefore, the area of a triangle can be calculated as follows:

area of a triangle  = 1 / 2 bh

where

Therefore,

area of the triangle = 28 ft²

height of the triangle = 4 ft

base of the triangle = ?

Hence,

area of the triangle  = 1 / 2 × b × 4

28 = 1 / 2 × b × 4

28 = 4b / 2

28 = 2b

divide both sides by 2

b = 28 / 2

b = 14

Therefore,

base of the triangle = 14 ft

learn more on triangle here: https://brainly.com/question/117317

#SPJ1

The measure of the base of the triangle would be; 14 ft.

A triangle is a polygon with three sides.  The sum of angles in a triangle is 180 degrees.

Therefore, the area of a triangle can be calculated by the formula;

The area of a triangle  = 1 / 2 b h

where

b = base

h = height

Thus,

The area of the triangle is 28 ft²

The height of the triangle = 4 ft

The base of the triangle =?

Hence,

Area = 1 / 2 × b × 4

28 = 1 / 2 × b × 4

28 = 4b / 2

28 = 2b

Then divide both sides by 2

b = 28 / 2

b = 14

Therefore, the base of the triangle is 14 ft

learn more about triangle here:

brainly.com/question/117317

#SPJ1

The weighted average cost of capital (WACC) for company C is 6.63%.

The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.

To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.

The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.

The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.

WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)

In this case, the calculation is as follows:

WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%

Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.

Learn more about weighted average cost of capital

brainly.com/question/30746642

#SPJ11

Optically active compounds can rotate plane-polarized light in

A - Clockwise rotation

B - Counterclockwise rotation

C - Dextrorotatory

D - Levorotatory

Optically active compounds can rotate the plane of polarization of light, which can be either clockwise or counterclockwise. The direction of rotation is usually expressed as either dextrorotatory (abbreviated as +) or levorotatory (abbreviated as -), depending on whether the compound rotates the plane of polarization to the right or left, respectively.

For example, a compound that rotates the plane of polarization to the right (clockwise) is said to be dextrorotatory (+), while a compound that rotates the plane of polarization to the left (counterclockwise) is said to be levorotatory (-).

Therefore, A corresponds to clockwise rotation, B corresponds to counterclockwise rotation, C corresponds to dextrorotatory, and D corresponds to levorotatory.

For more questions like Polarized light click the link below:

https://brainly.com/question/29217577

#SPJ11

Answer:

156

Step-by-step explanation:

mxn

13x12= 156

......

When dealing with random walk data, Holt's method is preferred due to its ability to capture short-term fluctuations and changing trends without assuming a specific pattern.

A random walk is a time series where the future values are dependent on the previous values and exhibit a random or unpredictable behavior. In such cases, using methods like Moving Average, Holt-Winters, or Logistic Regression may not yield accurate results because they assume certain patterns or trends in the data.

Holt's method, also known as exponential smoothing, is particularly suitable for handling random walk data. It is a forecasting technique that takes into account both the level and the trend of the time series. This method assigns exponentially decreasing weights to past observations, giving more weight to recent data points. By incorporating a level and trend component, Holt's method can capture the short-term fluctuations and gradual changes in the data without assuming a specific pattern.

Unlike Moving Average or Holt-Winters, Holt's method does not rely on a fixed window of past observations, which can be limiting for random walk data. Instead, it adapts dynamically to the changing characteristics of the time series.

Learn more about Logistic Regression here:

https://brainly.com/question/32687117

#SPJ11

Answer:

Slope: 5/3, Y-intercept: (0,-3)

Step-by-step explanation:

`

Answer:

c

Step-by-step explanation:

tHE ANSWER IS C

Answer:

C and F are the correct transformations.

Step-by-step explanation:

The graph of g(x) is reflected about the x-axis, then shifted up 2 units.

Answer:

3.9 or 3.88888888889

Step-by-step explanation:

5*7=35

35/9=3.88888888889=3.9

Answer:

5*7 = 35 / 9 =3

Step-by-step explanation:

because it is the closest

I don't see why my answer got deleted from last time as nothing was wrong with it, but your answer is: x = 5/6.

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

Hope this helps!

Have a great day and God bless! :)

b. Linear programming model is the correct option.

A linear programming model is a mathematical technique used to find the best outcome in a given set of constraints. In this case, Manders Manufacturing Corporation is trying to determine the optimal product mix for its two products, metal (M) and scrap metal (S), based on certain constraints. The objective is to maximize the profit, represented by the function Z = $30M + $70S.

The constraints are represented by the inequalities:

3M + 2S ≤ 15

2M + 4S ≤ 18

These constraints define the limitations on the production of metal and scrap metal. The model aims to find values of M and S that satisfy these constraints while maximizing the objective function.

Using linear programming techniques, the corporation can solve this model to find the optimal values for M and S that will maximize their profit. This approach allows them to make data-driven decisions and allocate their resources efficiently. By formulating the problem as a linear programming model, Manders Manufacturing Corporation can make informed choices about the optimal product mix to achieve their business objectives.

Learn more about linear programming

brainly.com/question/30763902

#SPJ11

Answer:the answer Plane

Step-by-step explanation:

Answer:

Plane is the correct answer

Step-by-step explanation:

When a figure is dilated with a scale factor of 1, there is no change in size or shape. The figure remains unchanged, with every point retaining its original position. This is because a scale factor of 1 indicates that there is no stretching or shrinking occurring.

When a figure is dilated with a scale factor of 1, it means that the size and shape of the figure remains unchanged. The word "dilate" means to stretch or expand, but in this case, a scale factor of 1 implies that there is no stretching or shrinking occurring.

To understand this concept better, let's consider an example. Imagine we have a square with side length 5 units. If we dilate this square with a scale factor of 1, the resulting figure will have the same side length of 5 units as the original square. The shape and proportions of the figure will be identical to the original square.

This happens because a scale factor of 1 means that every point in the figure remains in the same position. There is no change in size or shape. The figure is essentially a copy of the original, overlapping perfectly.

Learn more about scale factor from the link:

https://brainly.com/question/25722260

#SPJ11

Answer:

$31.95 Before tip.

Step-by-step explanation:

I believe you should just add 17.75+80%=31.95

So, y = (1/2)(x + 8) is the equation of the linear function.

To write the equation of a linear function with a given x-intercept and y-intercept, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

In this case, we are given that the x-intercept is (-8, 0) and the y-intercept is (0, 4). We can use the coordinates of the x-intercept as (x1, y1) and the slope of the line as m to write the equation:

y - 0 = m(x - (-8))

y = m(x + 8)

We can then substitute the y-intercept into this equation to find the value of m:

4 = m(0 + 8)

4 = 8m

m = 1/2

Substituting the value of m back into the equation, we get:

y = (1/2)(x + 8)

This is the equation of the linear function.

To learn more about Linear Function,

visit; brainly.com/question/20286983

#SPJ4

y - y1 = m(x - x1)

y - 0 = m(x - (-8))

y = m(x + 8)

We can then substitute the y-intercept into this equation to find the value of m:

4 = m(0 + 8)

4 = 8m

m = 1/2

Substituting the value of m back into the equation, we get:

y = (1/2)(x + 8)

We have to find the length of MK to the nearest tenth of a foot given that ΔKLM is a right triangle with the measure of ∠M=90°, the measure of ∠K=70°, and LM = 9.4 feet., the length of MK to the nearest tenth of a foot is 25.8 feet.

To find MK, we can use the trigonometric ratio of tangent.

Using the tangent ratio of the angle of the right triangle, we can find the value of MK. We know that:

\\([\tan 70° = \frac{MK}{LM}\]\)

On substituting the known values in the equation, we get:

\\([\tan 70°= \frac{MK}{9.4}\]\)

On solving for MK:\(\[MK= 9.4 \tan 70°\]\)

We know that the value of tan 70° is 2.747477,

so we can substitute this value in the above equation to get the value of

MK.

\(\[MK= 9.4 \cdot 2.747477\]\\\[MK=25.8072\]\)

Therefore, the length of MK to the nearest tenth of a foot is 25.8 feet.

To know more about length visit:

https://brainly.com/question/32060888

#SPJ11

Answer:

125

Step-by-step explanation: take the 60 from the not vacinated bar and the 65 from the people who didnt get the flu. add them together to get 125.

Answer:

its the 2nd and 3rd option

Step-by-step explanation:

To find the inverse function of F(x) = 2x - 3, we replace F(x) with y, swap the positions of x and y, and solve for y. The inverse function is f⁻¹(x) = (x+3)/2.

To find the inverse function of F(x) = 2x - 3, follow these steps

Replace F(x) with y. The equation now becomes y = 2x - 3.

Switch the positions of x and y, so the equation becomes x = 2y - 3.

Solve for y in terms of x. Add 3 to both sides: x + 3 = 2y.

Divide both sides by 2 (x + 3)/2 = y.

Replace y with the notation for the inverse function, f⁻¹(x): f⁻¹(x) = (x + 3)/2.

So, the inverse function of F(x) = 2x - 3 is f⁻¹(x) = (x + 3)/2.

To know more about inverse function:

https://brainly.com/question/17872426

#SPJ1

--The given question is incomplete, the complete question is given

" How do I find the inverse function of F(x) = 2x - 3"--

Answer: 12

Step-by-step explanation: 96-84=12

I dont really know how i did it I just did.