Use the properties of exponents to determine the value of a for the equation:

Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.

The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.

Here,

The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.

=> P(2) + P(3) + P(4)

=> 1/12 + 2/3 + 1/4

=>  (1 + 8 + 3) / 12

=> 12 / 12 = 1

In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.

In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.

Therefore, a complete probability model cannot be represented by this list.

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Answer:

the answer is 17x+20

Step-by-step explanation:

7x+10x+20

17x+20

hope it helps

mark me brainliest pls

Answer:

17x+20

Step-by-step explanation:

like terms= 7x and 10x so add= 17x

unlike term 20 it remains as it is.

so 17x+20 further cannot be simplified as both are unlike terms

The volume of the given three dimensional figure is 14352 cubic inches.

From the given three dimensional figure, dimensions in rectangular prism are Length = 23 inches, Breadth = 16 inches and Height = 18 inches.

So, volume of rectangular prism = Length×Breadth×Height

= 23×16×18

= 6624 cubic inches

Volume of triangular prism = Area of base × Height

= (23×16) × Height

= 368 × Height

= 368 × 21

= 7728 cubic inches

Total volume = 6624 + 7728

= 14352 cubic inches

Therefore, the volume of the given three dimensional figure is 14352 cubic inches.

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The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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Answer:

1,800 lbs of sand

900 lbs of gravel

600 lbs of cement

Step-by-step explanation: 11*300=3,300. 300*6=1,800, 300*3=900, and 300*2=600. This is correct because if you add 1,800+900+600 you get 3,300.

Answer:

9000

Step-by-step explanation:

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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The overall weighted average grade for this student in the class is 83.5%.

The weighted average grade is a function of the multiplication of each rate by the average score for each grading category.

The class grades are added to obtain the total grade that the student received for the different categories, involving class participation, classwork/homework, and tests/projects.

                                      Grade   Average    Class Grade

Participation                    10%        100          10% (10% x 100%)

Classwork/Homework   30%         95          28.5% (30% x 95%)

Test/projects                  60%         75          45% (60% x 75%)

Total grade in class                                      83.5%

Thus, from the student's participation, classwork/homework, and tests/projects, we can summarize that they scored an average weighted grade of 83.5%.

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Answer:

7

Step-by-step explanation:

first you input the -1 into all the spots where the xs are so the new equation would be f(-1)=4(-1)(-1) +5(-1)+8

then when you simplify its 4-5+8

which is equal to 7

Answer:

8:2 or 2:8  I think

Step-by-step explanation:

Answer: distance is 5.4

Step-by-step explanation: distance between points (X1,y1) and (x2,y2) is

√(x2-X1)² + (y2-y1)² = √[(-4-(-6))² + (7-2)²] = √(2²+ 5²) =√29

The distance between the points (-6, 2) and (-4, 7) is 5.4 units.

The distance between any two points (x₁, y₁) and (x₂, y₂) can be determined using the distance formula according to which,

Distance = √((x₂ - x₁)² + (y₂ - y₁)²).

We are asked to find the distance between the points (-6, 2) and (-4, 7).

We will determine the distance using the distance formula, by which

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

or, Distance = √(((-4) - (-6))² + (7 - 2)²)

or, Distance = √((-4 + 6)² + (7 - 2)²) = √(2² + 5²) = √(4 + 25) = √29

∴ Distance = √29 = 5.385165 = 5.4 (rounding to the nearest tenth).

∴ The distance between the points (-6, 2) and (-4, 7) is 5.4 units.

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The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.

To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.

Let's assume the maximum price you can offer for the home is P dollars.

According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:

\(0.17P = $14,000\)

To solve for P, divide both sides of the equation by 0.17:

P = $14,000 / 0.17

Calculating this expression, we find:

P ≈ $82,352.94

Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.

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Based on the given information, the value of y is 5.

What is a cyclic polygon?

A cyclic polygon is a polygon that can be inscribed inside a circle in such a way that all of its vertices lie on the circumference of the circle. In other words, a cyclic polygon is a polygon that can be circumscribed by a circle.

In a polygon with n sides, the sum of its interior angles is given by the formula: (n - 2) * 180 degrees. Since this polygon is inside a circle, it must be a cyclic polygon, which means that its opposite angles add up to 180 degrees.

We are given that the opposite angles are 23y and 13y, so we can write:

23y + 13y = 180

36y = 180

y = 5

Therefore, the value of y is 5.

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The expressions that are equivalent to 3^8 are:

We have to solve these out

3^8. = 6561

From the options

A. 3^2x3^4

= 9 x 81

= 729

B  3²x3^6

= 9 x 729

= 6561

C.  3^16/3^2

= 43046721/9

= 4782969

d. 3^12/3^4

= 531441 / 81

= 6561

E.  (3^4)²

= 3⁴ x 3⁴

= 3⁴⁺⁴

= 3⁸

= 6561

F. (3¹)^7

= 3⁷

= 2187

The expressions that are equivalent to 3^8 are:

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Answer: The total value of the loan with quarterly compounded interest  is $60,109.34.

Step-by-step explanation:

To calculate the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P * (1 + r/n)^(nt)

where:

A = final amount (loan + interest)

P = principal (the original amount of the loan)

r = annual interest rate as a decimal

n = number of times the interest is compounded in a year

t = time in years

For the loan with quarterly compounded interest, the number of times the interest is compounded in a year is 4 (since interest is compounded quarterly), and the time is 3 years and 7 months, which we can convert to years as 3.5833.

Substituting the values into the formula, we get:

A = $50,000 * (1 + 0.0615/4)^(4 * 3.5833)

A = $50,000 * (1.015375)^(15.7532)

A = $50,000 * 1.22186888

A = $60,109.34

Therefore, To calculate the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P * (1 + r/n)^(nt)

where:

A = final amount (loan + interest)

P = principal (the original amount of the loan)

r = annual interest rate as a decimal

n = number of times the interest is compounded in a year

t = time in years

For the loan with quarterly compounded interest, the number of times the interest is compounded in a year is 4 (since interest is compounded quarterly), and the time is 3 years and 7 months, which we can convert to years as 3.5833.

Substituting the values into the formula, we get:

A = $50,000 * (1 + 0.0615/4)^(4 * 3.5833)

A = $50,000 * (1.015375)^(15.7532)

A = $50,000 * 1.22186888

A = $60,109.34

Therefore, the total value of the loan with the quarterly compounded interest would be $60,109.34.

Answer:

i think that the correct answer is 12 for the least common denominator

div( curl( grad f )) - scalar field; the divergence of a vector field is a scalar field

A quantity with both direction and magnitude, particularly when used to depict the distance between two points in space.

In a scalar field, each point in a space—possibly actual space—is assigned a single integer.

According to the given information

(a) You can only determine the curl of a vector field; curl f is meaningless.

(b) grad f - vector field; when you take a gradient of something , it results in a vector field

(c) div F - scalar field; take the divergence of a vector field, it results in a scalar field

(d) A vector field is produced by the operation curl(grad f) on a vector field.

(e) grad F - meaningless; gradients are only used for scalar fields

(f) grad( div F ) - vector field; the gradient of a scalar field is a vector field

(g) div( grad f ) - scalar field; if you take divergence of a vector field, the result is a scalar field

(h) Grad (div f) is useless; one cannot take a scalar field's divergence into account.

(i) vector field; a vector field is a vector field's curl (curl F).

(j) div(div F) is useless; it is impossible to calculate a scalar field's divergence.

(k) ( grad f ) x ( div F ) - meaningless; you cant cross a scalar field by a vector field !

(l) The divergence of a vector field is a scalar field, and its formula is div(curl(grad f))

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Answer:

A = 80

B = 10

Step-by-step explanation:

a + b = 90

a = 8b

above are  the two equations that we will used to find A and B.

substitute in 8b for a in the first equation.

a + b = 90

8b + b = 90  Combine like terms

9b = 90  Divide both sides by 9

b = 10

If b is 10, than a must be 80.

The number 18 in the expression represents the discounted price of the ticket

from the question, we have the following parameters that can be used in our computation:

x(1 - 0.2) = 18

We understand that

using the above as a guide, we have the following:

The number 18 in the expression represents the discounted price of the ticket

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Answer:

up 1 and to the right 5 units.

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Answer:

Step-by-step explanation:

The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.

The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.

The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.

Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.

Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.

Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.

Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.

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As an operations manager for a plant that manufactures batteries, I can use both descriptive statistics and inferential statistics to make better managerial decisions

Descriptive statistics help me to summarize and describe the data collected from the manufacturing process.

For instance, I can use measures such as mean, median, mode, range, and standard deviation to summarize the data on the production output of batteries over a specific period.

Inferential statistics allow me to draw conclusions and make predictions based on the data collected from a sample of batteries produced.

For example, I can use inferential statistics to determine the probability of the battery meeting the required specifications. I can also use inferential statistics to make predictions about future production output, based on the historical data.

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Answer:

no it does not

Step-by-step explanation:

Answer: no it doesn't

Step-by-step explanation:

The reason for this is that even when the process does shift, the sample means from the shifted process may still fall within these wide UCL and LCL limits.

Answer:

nearest integer 27 by 4

Answer:

Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time