The number of marbles of different colors stored in a hat is listed below:4 red marbles
10 green marbles
7 blue marbles

Without looking in the hat, Dan takes out a marble at random. He replaces the marble and then takes out another marble from the hat. What is the probability that Dan takes out a blue marble in both draws?

2 / 21
1 / 9
1 / 2
2 / 3

Final answer:

A market economy primarily aims to efficiently meet consumer demand for goods and services, foster healthy competition amongst suppliers, and promote private enterprise, rewarding individuals for their ability to produce goods and services that society values.

Explanation:

The goal of a market economy firstly is to coordinate a process where firms aim to produce goods and services in the quantity, quality, and price that consumers want, making efficient use of resources. Secondly, it is designed to create an environment where competition amongst suppliers can take place, aiming to offer the best goods and services at the lowest prices, stimulating productive efficiency. Lastly, market economies are based on the principle of private enterprise, where personal income is driven by an individual's capacity to convert resources, particularly labor, into a product or service that society values.

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The factor of the polynomial expression x² + 5x − 24 are (x + 8) and (x - 3) option (D) (x + 8) is correct.

What is a quadratic equation ?

Any equation of the form  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

The question is incomplete.

The complete question is:

Which is a factor of x² + 5x − 24?

• (x − 6)
• (x + 6)
• (x − 8)
• (x + 8)

We have a quadratic polynomial:

= x² + 5x − 24

To find the factors of the above polynomial we can use the factor method:

= x² + 8x - 3x − 24

= x(x + 8) - 3(x + 8)

= (x + 8)(x - 3)

The factor of the polynomial expression x² + 5x − 24 is (x + 8) and (x - 3).

Thus, the factor of the polynomial expression x² + 5x − 24 are (x + 8) and (x - 3) option (D) (x + 8) is correct.

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The other solution to the given absolute value equation is x = -6 and this can be determined by using the arithmetic operations.

Given :

Equation  ---  3 + 4|x + 3| = 11

The following steps can be used to evaluate the given equation:

Step 1 - Write the given equation.

3 + 4|x + 3| = 11

Step 2 - Take the negative sign of modulus that is:

3 + 4(- x - 4) = 11

Step 3 - Simplify the above equation.

3 - 4x - 16 = 11

Step 4 - Add 4x on both sides in the above expression.

3 - 16 = 11 + 4x

-13 = 11 + 4x

Step 5 - Subtract 11 on both sides in the above expression.

-13 - 11 = 11 - 11 + 4x

- 24 = 4x

Step 6 - Divide 24 by 6 in the above equation.

x = -6

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Answer:

-10

Step-by-step explanation:

edg

Answer:

B (i do also slightly lean towards C, but i'm pretty sure it would be B because it gives a specific measurement)

Step-by-step explanation:

If all angles that are either adjacent or opposite are supplementary, all angles must be 90°

If at all times adjacent sides are 5 inches, all sides are equal.

Knowing this, it has to be a square because all angles would be 90° and all sides would be equal.