A bag with 12 marbles has 5 blue marbles, 3 yellow marbles, and 4 red marbles. A marble is chosen from the bag at random. What is the probability
is not blue?

Answer:

Step-by-step explanation:

it would be 67108864

Answer:

\(4^{13}\)

Step-by-step explanation:

In exponents multiplication, if base are same , add the powers

\(a^{m}*a^{n} = a^{m+n}\\\)

\(4^{6}*4^{7}= 4^{6+7} = 4^{13}\)

ABF=BCH

so if abc is 108, then bch would also be 108

BCH=108

The magnitude of the vector v is 4, and the angle (θ) lies between 0 and 2π, or 0 and 360 degrees, and it is 60 degrees.

To find the magnitude and angle of a vector, v = <-2, -2√3>, we can use the formula for the magnitude and the trigonometric function for the angle. The magnitude is found using the Pythagorean theorem, and the angle is determined by using the arctan function.

The magnitude of a vector is calculated using the formula: |v| =\(\sqrt{(x^2 + y^2)}\), where (x, y) are the components of the vector.

For vector v = <-2, -2√3>, the magnitude is:

|v| = \(\sqrt{((-2)^2 + (-2\sqrt{3} )^2)}\) = \(\sqrt{(4 + 4 * 3) }\)= \(\sqrt{(16) }\)= 4.

To find the angle of the vector with respect to the positive x-axis, we can use the arctan function: θ = arctan(y / x).

For vector v = <-2, -2√3>, the angle is:

θ = arctan((-2√3) / -2) = arctan(√3) ≈ 60 degrees.

However, we need to ensure that the angle lies between 0 and 2π (360 degrees). Since arctan(√3) is in the first quadrant, the angle is positive and less than 90 degrees.

To convert the angle to the desired range, we add 360 degrees (or 2π radians) to the angle:

θ = 60 degrees + 360 degrees = 420 degrees.

Since the angle should be between 0 and 360 degrees, we subtract 360 degrees to obtain the final angle:

θ = 420 degrees - 360 degrees = 60 degrees.

Therefore, the magnitude of the vector v is 4, and the angle (θ) lies between 0 and 2π, or 0 and 360 degrees, and it is 60 degrees.

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The answers to each part is mentioned above.

Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.

Equation for tank {1} -

y = 175 - 25x

Equation for tank {2} -

y = 200 - 30x

For the solution we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5

and

y = 200 - 150

y = 50

For the same amount of water we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5 hours

In tank (1), there is : 175 - 25 x 5 = 50 gallons

In tank (2), there is : 200 - 30 x 5 = 50 gallons

Therefore, the answers to each part is mentioned above.

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Answer:

the median is 26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

first list in numerical order

18,20,20,21,25,27,28,30,30,31

/ / / / / / / /

you are left with 25 and 27 and in-between that is 26 so 26 is the median

Answer:

• 5 packs of plates

• 6 packs of cups

Step-by-step explanation:

5 packs of plates = 60 plates (5×12)

6 packs of cups = 60 cups (6×10)

Answer:

5 packs of plates

6 packs of cups

========================================================

Explanation:

GCF = greatest common factor

LCM = lowest common multiple

The GCF of 12 and 10 is 2 since

It's the largest factor they have in common together.

Multiply 12 and 10, then divide by the GCF to get the LCM

LCM = (12*10)/GCF = 120/2 = 60

The LCM is 60. We can verify this by looking at a few multiples like so

The LCM is the amount of plates and cups that match up.

Buying 5 packs of 12 plates gets 5*12 = 60 plates total

Buying 6 packs of 10 cups each gets 6*10 = 60 cups total

Answer:

I don't see choices.

Step-by-step explanation:

Please give me choices.

Answer:

y = x + 15

Step-by-step explanation:

You swim 15 minutes more than a friend.The friend swims x minutes.

The amount of time you swim is 15 more than x.

Your time is y

Therefore y = x + 15 would be the equation.

The present population of the district is 396658.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

To solve this problem, we can use the formula for calculating population growth:

\(P(t) = P(0) * (1 + r)^t\)

where P(t) is the population after t years, P(0) is the initial population, r is the annual population growth rate as a decimal, and t is the number of years.

Using this formula, we can first calculate the population after 2 years without migration or deaths:

\(P(2) = 375000 * (1 + 0.02)^2\)

P(2) = 410062.5

Next, we can account for the migration and deaths by subtracting the deaths and adding the migration:

Present population = P(2) - 2750 + 1480

Present population = 410062.5 - 1270

Present population = 408792.5

Rounding this to the nearest whole number gives the answer of 396658.

Therefore, the present population of the district is 396658.

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The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

A $78.50

Step-by-step explanation:

Pennies $2.50

nickels $6.00

dimes $30.00

quarters $40.00

The number of individuals needed to produce the sample data used to find the regression equation is 21.

Given,

In the question:

A researcher who is evaluating the significance of a multiple regression equation with two predictor variables, obtains an F-ratio with df = 2, 18.

To find the regression equation.

Now, According to the question:

F test:

In the multiple regression, the relationship between the variables is statistically significant can be check by F-test. The F-test used to determine the statistical regression models which is best suited for the population.

A value of 2 represents the degrees of freedom due to regression.

and, the value 18 represents the degrees of freedom due to or residuals.

The formula of degree of freedom due to residual is:

\(df_r_e_s_i_d_u_a_l\) = n - k - 1

The number of individuals in the sample data (n) can be calculated as:

\(df_r_e_s_i_d_u_a_l\) = n - k - 1

18 =  n - 2 - 1

18 =  n - 3

18 + 3 = n

21 = n  OR

n = 21

Hence, The number of individuals needed to produce the sample data used to find the regression equation is 21.

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In the given case the set of 56 students who returned surveys is an example of a sample

A sample would be the 56 students who responded to the surveys. A sample is a portion of the population that is chosen for a study in research. American college students would be the population in this scenario. The 56 students who returned the surveys were chosen at random for the sample by the researcher.

The researcher is attempting to guarantee that the sample is representative of the greater population of American college students by utilising a random selection process. The researcher discovered that these students spend an average of 4.1 hours per week working on course material outside of class based on the data collected from the sample. This is an example of a descriptive statistic that provides a summary of the information gleaned from the sample.

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Answer:

y-1=-3(x+2)

Step-by-step explanation:

Answer:

Hay 140 alumnos en dicha aula.

Step-by-step explanation:

Primero, debes encontrar la cantidad de alumnos que aprobaron que corresponde a 4/5 usando una regla de tres teniendo en cuenta que sabes que 1/5 corresponde a 21 que son los estudiantes que no aprobaron:

1/5  → 21

4/5 →  x

x=(4/5*21)/1/5

x=(84/5)/(1/5)

x=84*5/5*1

x=420/5

x=84

Ahora, puedes sumar el número de estudiantes que aprobaron con el número de estudiantes que no aprobaron para encontrar el total que estudiantes que asistieron al examen:

84+21=105

Después, dado que sabes que 105 estudiantes corresponde a 3/4 de los alumnos en un aula, puedes usar una regla de tres para encontrar el número de estudiantes en el aula:

3/4 → 105

1     →   x

x=(1*105)/(3/4)

x=(105/1)/(3/4)

x=105*4/1*3

x=420/3

x=140

De acuerdo a esto, la respuesta es que hay 140 alumnos en dicha aula.

Here, we are supposed to find the value of the stock. Let's begin by determining the expected dividends: Expected dividends1st year dividend (D1)

= $1.55(1 + 26.56%)

= $1.96Second-year dividend (D2) = $1.96(1 + 26.56%) = $2.48Third-year dividend (D3)

= $2.48(1 + 26.56%)

= $3.

= D1/(1+r)^1 + D2/(1+r)^2 + D3/(1+r)^3 + D4/(1+r)^4...∞Where r

= required rate of return Let us substitute the values now PV of the future dividends

= $1.96/(1 + 14.40%)^1 + $2.48/(1 + 14.40%)^2 + $3.14/(1 + 14.40%)^3 + $3.25/(1 + 14.40%)^4...∞PV of the future dividends = $1.96/1.1440^1 + $2.48/1.1440^2 + $3.14/1.1440^3 + $3.25/1.1440^4...∞PV of the future dividends

= $1.72 + $1.92 + $2.04 + $1.86...∞PV of the future dividends

= $7.54We know that the value of the stock is the present value of the expected dividends, so we can calculate it as follows: Value of the stock

= PV of the future dividends Value of the stock

= $7.54

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The value of the double integral using the easier order, ydA bounded by y = x − 6; x = y² is 125/12.

The double integral, indicated by ', is mostly used to calculate the surface area of a two-dimensional figure. By using double integration, we may quickly determine the area of a rectangular region. If we understand simple integration, we can easily tackle double integration difficulties. Hence, first and foremost, we will go over some fundamental integration guidelines.

Given, the double integral ∫∫yA and the region y = x-6 and x = y²

y = x-6

x = y²

y² = y +6

y² - y - 6 = 0

y² - 3y +2y - 6 = 0

(y-3) (y+2) = 0

y = 3 and y = -2

\(\int\int\limits_\triangle {y} \, dA\\ \\\)

= \(\int\limits^3_2 {y(y+6-y^2)} \, dx \\\\\int\limits^3_2 {(y^2+6y-y^3)} \, dx \\\\(\frac{y^3}{3} + 3y^2-\frac{y^4}{4} )_-_2^3\\\\\frac{63}{4} -\frac{16}{3} \\\\\frac{125}{12}\)

The value for the double integral is 125/12.

Integration is an important aspect of calculus, and there are many different forms of integrations, such as basic integration, double integration, and triple integration. We often utilise integral calculus to determine the area and volume on a very big scale that simple formulae or calculations cannot.

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The closure property refers to the mathematical law that states that if we perform a certain operation (addition, multiplication) on any two numbers in a set, the result is still within that set.In the expression (2x3 x2 - 4x) - (9x3 - 3x2), we are simply subtracting one polynomial from the other.

To simplify it, we'll start by combining like terms. So, we'll add all the coefficients of x3, x2, and x, separately.The given expression becomes: (2x3 x2 - 4x) - (9x3 - 3x2) = 2x3 x2 - 4x - 9x3 + 3x2We will then combine like terms as follows:2x3 x2 - 4x - 9x3 + 3x2 = 2x3 x2 - 9x3 + 3x2 - 4x= -7x3 + 5x2 - 4x

Therefore, the correct simplification of the expression is -7x3 + 5x2 - 4x. The demonstration of the closure property is shown as follows:The subtraction of two polynomials (2x3 x2 - 4x) and (9x3 - 3x2) results in a polynomial -7x3 + 5x2 - 4x. This polynomial is still a polynomial of degree 3 and thus, still belongs to the set of polynomials. Thus, the closure property holds for the subtraction of the given polynomials.

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Answer:

C:  \(\frac{2}{9}\)

Step-by-step explanation:

Given the function,  \(f(x) = 2*3^{x}\), for f(–2):

Substitute the given input value into the function:

\(f(-2) = 2(3)^{-2} = 2(\frac{1}{3^{2} }) = 2(\frac{1}{9}) = \frac{2}{9}\)

Therefore, f(–2) = \(\frac{2}{9}\), making C the correct answer.

Please mark my answers as the Brainliest if my explanations were helpful :)

Answer:

Step-by-step explanation:

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Answer:

4/9 x 3/8 = 12/72 as simplified as 1/6 in fraction form. 4/9 x 3/8 = 0.1667 in decimal form.

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

It's negative because there are 59 negatives and 8 positives. Since there are more negatives the sum is negative.

-59+8 = -51

Hope this helps ya!

The given system of linear equations consists of four equations with four variables: x, y, z, and w. To solve the system, we can use various methods, such as Gaussian elimination or matrix operations.

By performing row operations, we can reduce the system to its row-echelon form or solve it directly to find the values of x, y, z, and w. We will solve the system of linear equations using the method of Gaussian elimination. The augmented matrix representation of the system is:

[1 1 2 -1 | -2]

[0 3 1 2 | 2]

[1 1 0 3 | 2]

[-3 0 1 2 | 5]

First, we'll perform row operations to transform the matrix into the row-echelon form:

R2 = R2 - 3R1

R3 = R3 - R1

R4 = R4 + 3R1

The resulting matrix after these operations is:

[1 1 2 -1 | -2]

[0 0 -5 5 | 8]

[0 0 -2 4 | 4]

[0 3 1 2 | 5]

Next, we'll perform additional row operations to further simplify the matrix:

R4 = R4 - 3R2

The matrix now becomes:

[1 1 2 -1 | -2]

[0 0 -5 5 | 8]

[0 0 -2 4 | 4]

[0 3 1 2 | -19]

Finally, we'll perform the last row operation:

R3 = R3 + 2R2

The matrix is now in row-echelon form:

[1 1 2 -1 | -2]

[0 0 -5 5 | 8]

[0 0 0 14 | 20]

[0 3 1 2 | -19]

From this row-echelon form, we can solve for the variables. Starting from the bottom row, we obtain:

3w + z + 2w = -19, which simplifies to 5w + z = -19.

Next, we have 0x + 0y - 5z + 5w = 8, which simplifies to -5z + 5w = 8.

Lastly, x + y + 2z - w = -2.

At this point, we have three equations with three variables: x, y, and z. By solving this simplified system, we can find the values of x, y, and z.

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Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.

In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:

Vertical objects in a classroom:

1. Door                     6. Clock

2. Cabinet               7. Electrical outlets

3. Bookshelf            8. Light switches

4. Whiteboard         9. Window blinds

5. Flagpole             10. Bulletin board

Horizontal objects in a classroom:

1. Desks                  6. Keyboard trays

2. Chairs                 7. Carpet tiles

3. Tables                 8. Ceiling tiles

4. Countertops       9. Whiteboard markers

5. Shelves              10. Paper trays

These are just a few examples of vertical and horizontal objects that can be found in a classroom.

It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.

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Answer:

Step-by-step explanation:

sum of ratio=6+4+3=13

let the total price of houses=x

then

\(\frac{3}{13} x=240,000\\x=240,000 \times \frac{13}{3} =1,040,000\\price of first house=1,040,000 \times \frac{6}{13} =480,000\\price~of~second~house=1,040,000 \times \frac{4}{13}=320,000\)

Answer: 24000 g

Step-by-step explanation:

multiply together:

4 bags * 6 kg = 24 kg total

convert:

1 kg = 1000 g

24 kg * (1000 g / 1 kg) = 24000 g

To calculate the total mass of the box in grams, we need to first calculate the total mass of the 4 bags of sugar in kilograms, and then convert that to grams.

The mass of one bag of sugar is 6 kilograms.

The total mass of all 4 bags is:

4 bags x 6 kilograms/bag = 24 kilograms

To convert 24 kilograms to grams, we multiply by the conversion factor of 1000 grams/kilogram:

24 kilograms x 1000 grams/kilogram = 24,000 grams

Therefore, the total mass of the box, including all 4 bags of sugar, is 24,000 grams.

The correct answer is B) 24,000 grams.

The quotient of the polynomial is 4x - 9 and the remainder is 20

The resultant of the division is called the quotient while the Remainder is the number that is left after division.

In long division, the terms on top of the division symbol are called the quotient while that at the bottom is called the remainder.

When a division has no remainder it means that the polynomial is divisible by the divisor.

The body of the calculation is found in the attached file below.

In conclusion, the Quotient and remainder are 4x - 9 and 20 respectively.

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