carrie draws 5 cards simultaneously from a well-shuffled deck of 52 playing cards. what is the probability that she chooses 3 spades and 2 cards that are not spades?
a. 0.7692 b. 0.0782 c. 0.2308 d. 0.2743 e. 0.0815

Answer:d

Step-by-step explanation:

The number line that represents the inequality 6x - 12 > -6 is (D)

The inequality is given as:

6x - 12 > -6

Add 12 to both sides

6x > 12 - 6

Evaluate the difference

6x > 6

Divide both sides by 6

x > 1

The number line that represents the above inequality is (D)

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Answer:

21

Step-by-step explanation:

This triangle is isosceles ( I added a photo of my solution)

To solve for t2 in the equation t2/t1=(p2/p1)^(n-1/n), we can cross-multiply to get t2=(p2/p1)^(n-1/n) * t1.


In the given equation, t2/t1 represents the ratio of two temperatures, while (p2/p1)^(n-1/n) is a ratio of pressures raised to a power. The exponent of (n-1/n) in the equation represents the ratio of specific heats, which is a constant value for a given gas. Thus, we can rewrite the equation as t2/t1= (p2/p1)^k, where k = (n-1/n).

To solve for t2, we can multiply both sides of the equation by t1, which gives us t2= (p2/p1)^k * t1.


Therefore, the equation to solve for t2 is t2= (p2/p1)^(n-1/n) * t1.

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Answer:

14

Step-by-step explanation:

Note that 14 is a factor of 28 and also a factor of 56.  Thus, 14 is the greatest common factor of 14, 28 and 56.

Answer:

The common factors for 56,28,14 56 , 28 , 14 are −14,−7,−2,−1,1,2,7,14 - 14 , - 7 , - 2 , - 1 , 1 , 2 , 7 , 14 .

Hope that helps

Answer:

the answer is b

Step-by-step explanation:

brainliest pls

Answer:

(3 x + 4) (x - 1) (x + 3)

Step-by-step explanation:

Factor the following:

3 x^3 + 10 x^2 - x - 12

The possible rational roots of 3 x^3 + 10 x^2 - x - 12 are x = ± 1/3, x = ± 2/3, x = ± 4/3, x = ± 1, x = ± 2, x = ± 3, x = ± 4, x = ± 6, x = ± 12. Of these, x = -4/3, x = 1 and x = -3 are roots. This gives 3 x + 4, x - 1 and x + 3 as all factors:

Answer: (3 x + 4) (x - 1) (x + 3)

Add the possibilities from both formats: 67,600,000 + 17,576,000 = 85,176,000 total possible license plates.

To calculate the number of license plates that can be made using either two uppercase English letters followed by five digits or three uppercase English letters followed by four digits, we need to use the multiplication rule of counting.

For the first case, there are 26 choices for each of the two letters (since there are 26 uppercase English letters) and 10 choices for each of the five digits (since there are 10 digits from 0 to 9). Therefore, the total number of license plates that can be made in this case is:

26 x 26 x 10 x 10 x 10 x 10 x 10 = 67,600,000

For the second case, there are 26 choices for each of the three letters and 10 choices for each of the four digits.

Therefore, the total number of license plates that can be made in this case is:

26 x 26 x 26 x 10 x 10 x 10 x 10 = 17,576,000

So, in total, the number of license plates that can be made using either two uppercase English letters followed by five digits or three uppercase English letters followed by four digits is:

67,600,000 + 17,576,000 = 85,176,000
To determine the number of license plates that can be made, we'll calculate the possibilities for each format and then add them together.

1. Two uppercase English letters followed by five digits:

There are 26 uppercase English letters and 10 digits (0-9). For this format, we have:

- 26 options for the first letter
- 26 options for the second letter
- 10 options for the first digit
- 10 options for the second digit
- 10 options for the third digit
- 10 options for the fourth digit
- 10 options for the fifth digit

Using the counting principle, multiply these options together: 26 × 26 × 10 × 10 × 10 × 10 × 10 = 67,600,000 possible plates.

2. Three uppercase English letters followed by four digits:

For this format, we have:

- 26 options for the first letter
- 26 options for the second letter
- 26 options for the third letter
- 10 options for the first digit
- 10 options for the second digit
- 10 options for the third digit
- 10 options for the fourth digit

Multiply these options together: 26 × 26 × 26 × 10 × 10 × 10 × 10 = 17,576,000 possible plates.

Now, add the possibilities from both formats: 67,600,000 + 17,576,000 = 85,176,000 total possible license plates.

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Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

a) About 99.7​% of organs will be between 205 grams and 415 grams.

b) The percentage of organs weighing between 240 grams and 380 grams is of 95%.

c) The percentage of organs less than 240 grams or more than 380 grams is of 5%.

d) The percentage between 240 grams and 415 grams is of: 97.35%.

These approximate percentages are defined by the Empirical Rule, for a normally distributed variable:

The first three questions are quite straight forward, while for the fourth we consider the symmetry of the normal distribution, as follows:

Hence the total percentage is of:

0.95 x 50 + 0.997 x 50 = 97.35%.

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Answer:

true

Step-by-step explanation:

❤️✨

Yep that's correct XD

The equations for this particular representation are

and

To find the equation of the line that is perpendicular to the line 5x - 2y = -6 and passes through the point (5, 4), we can use the slope-intercept form of a line, y = mx + b. We know that the slope of the given line is -5/2, so the slope of the line that is perpendicular to it is the negative reciprocal of this slope, or 2/5.

We also know that the line passes through the point (5, 4), so we can plug these values into the equation to solve for b, which gives us 4 = (2/5)(5) + b. Solving for b, we find that b = 2. Therefore, the equation of the line is y = (2/5)x + 2.

Alternatively, we can use the point-slope form of a line, which is written as y - y1 = m(x - x1). In this form, m is the slope of the line and (x1, y1) is a point on the line. Plugging in the values for the slope and the point, we get y - 4 = (2/5)(x - 5). This simplifies to y = (2/5)x + 4, which is another equation that represents the line.

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Therefore, the length of the hypotenuse is approximately 12.1 units.

A triangle is a polygon with three sides and three angles. The sum of the interior angles of a triangle always adds up to 180 degrees. Triangles are one of the simplest and most fundamental shapes in geometry, and they appear in many different contexts in mathematics and everyday life. There are several different types of triangles, including:

Equilateral triangle: A triangle with all three sides and angles equal.

Isosceles triangle: A triangle with two sides and two angles equal.

Scalene triangle: A triangle with no sides or angles equal.

Right triangle: A triangle with one angle measuring 90 degrees (a right angle).

Triangles also have several important properties and formulas, such as the Pythagorean theorem, which relates the lengths of the sides of a right triangle, and trigonometric functions like sine, cosine, and tangent, which describe the ratios of the sides of a triangle to its angles.

Here,

We can use the trigonometric function cosine to find the length of the hypotenuse x.

cos(24°) = adjacent / hypotenuse

cos(24°) = 11 / x

To solve for x, we can multiply both sides by x and then divide both sides by cos(24°):

x * cos(24°) = 11

x = 11 / cos(24°)

Using a calculator, we find:

x ≈ 12.1 (rounded to the nearest tenth)

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Answer:

1800

Step-by-step explanation:

300 cars in 23 minutes so 300/25 = how many cars each minute

that equals 13.04347....

so on your calculator multiply that by 138 which gives you 1800 cars

Answer:

138/23×300=1800cars drove over the bridge

Step-by-step explanation:

The information that is not sufficient to prove that a parallelogram is a square is the measurement of its angles alone. Additional information about the lengths of its sides is needed to confirm if a parallelogram is indeed a square.

To determine whether a parallelogram is a square, we need to consider both the angles and the side lengths. A parallelogram has opposite sides that are parallel and equal in length, and opposite angles that are congruent. While a square is a special type of parallelogram with four equal sides and four right angles, simply knowing that the angles of a parallelogram are equal is not enough to establish it as a square.

To confirm that a parallelogram is a square, we must also ensure that all four sides are of equal length. In a square, all angles are right angles, and all sides are congruent. Therefore, if we have information about the side lengths of a parallelogram and can verify that they are equal, along with the knowledge that the angles are right angles, then we can conclude that the parallelogram is indeed a square.

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Answer:

5.5 weeks

Step-by-step explanation:

180 = 80+(18)w

100= 18w

w=100/18

w = 5.5

The slope of a line = f'[x] = dy/dx = [ y₂ - y₁ / x₂ - x₁ ] = Tan θ  

The positive slope depicts the fact that the two quantities represented on the two axes of the coordinate system do increase or decrease at the same time.

A line with positive slope = m > 0  

The angle θ made by the line with the positive x-axis is an acute angle such that  0º < θ < 90º.

A positive slope equation looks like -

[image attached below]

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If electricity costs $0.031076 per kilowatt and 3108 kilowatts were used, what is the cost?
To find the cost, we can multiply the cost per kilowatt by the number of kilowatts used.

Multiplication of decimals can be used here.

Cost = Cost per kilowatt * Number of kilowatts used
In this case, the cost per kilowatt is $0.031076 and the number of kilowatts used is 3108.
Cost = $0.031076 * 3108                                                                                                                                                                                  
By multiplying the decimal by the whole number we get:                                                                                                                        Now we can calculate the cost:
Cost = $96.490608
Therefore, the cost of using 3108 kilowatts of electricity at a rate of $0.031076 per kilowatt is $96.490608.

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The difference of logarithms, log425 - log45, can be simplified using the quotient rule of logarithms, the simplified form of √3/16 is √3/4.

According to the quotient rule, the logarithm of the quotient of two numbers is equal to the logarithm of the numerator minus the logarithm of the denominator. Applying this rule, we have:

log425 - log45 = log(425/45)

To simplify the expression further, we can simplify the fraction inside the logarithm:

425/45 = 9.444...

Therefore, log(425/45) is approximately equal to log9.444...

Now, in the second part of your question, you mentioned the expression √3/16. To simplify this expression, we can rewrite the square root as a fractional exponent:

√3/16 = (3/16)^(1/2)

Now, raising a fraction to the power of 1/2 is equivalent to taking the square root of the numerator and the square root of the denominator separately:

(3/16)^(1/2) = √3/√16

The square root of 16 is 4, so we have:

(3/16)^(1/2) = √3/4

Therefore, the simplified form of √3/16 is √3/4.

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Answer:

2.25

Step-by-step explanation:

2b + 2b - 4=5

Add 2b + 2b

bring down the -4 and 5

4b - 4=5

4b= 5+4

Add 5 + 4=9

4÷4b=9÷4 -Divide n both side

cancel the 4 sense their the same and bring down the B

Divide 9 and 4

9÷ 4= 2.25

B=2.25

Neglect a is constructive response to job satisfaction is the false statement.

Neglect is not a constructive response to job satisfaction. It refers to a situation where employees feel ignored, unappreciated, or unsupported in their work, which can negatively impact their job satisfaction. Constructive responses to job satisfaction involve addressing concerns, providing support, and promoting a positive work environment.

Job satisfaction refers to an individual's level of contentment and fulfillment with their job. It is influenced by various factors such as work environment, compensation, relationships with colleagues, opportunities for growth, and alignment with personal values.

When employees experience job dissatisfaction, they may respond in different ways. One possible response is neglect, which refers to a passive and disengaged attitude towards work. Neglectful employees may become indifferent, withdraw their effort, or mentally check out from their responsibilities.

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The matrix A is diagonalizable.

To find the distinct eigenvalues of matrix A, we need to solve the equation det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix.

Calculating the determinant, we have:

det(A - λI) = |1-λ 0 0 0 |

|32-1 0 16 0 |

|0 -1 0 0 |

|0 0 -1 0 |

Expanding along the first row, we get:

det(A - λI) = (1-λ)[(-1)(-1)(0) - (16)(0)] - (0)[(32-1)(-1)(0) - (16)(0)] = (1-λ)(0 - 0) = 0

The equation (1-λ) = 0 gives us the eigenvalue λ = 1 with multiplicity 1.

The dimensions of the associated eigenspaces can be found by solving the equation (A - λI)x = 0, where x is a non-zero vector. In this case, for λ = 1, we have:

(1-1)x = 0

0x = 0

This implies that the dimension of the eigenspace associated with eigenvalue 1 is 1.

Now, to determine if matrix A is diagonalizable, we need to check if it has a complete set of linearly independent eigenvectors. Since the dimension of the eigenspace associated with eigenvalue 1 is 1 (which matches the multiplicity), we have a complete set of linearly independent eigenvectors.

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Answer:

so you just put both equations together and do the equation like so hers an example

explanation: (7x-22)-(4x+5)= but if your looking for X

x=9

Answer:

\(a_{n}\) = 3 \((-2)^{n-1}\)

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

- 6 ÷ 3 = 12 ÷ - 6 = - 24 ÷ 12 = 48 ÷ - 24 = - 2

this indicates the sequence is arithmetic with explicit rule

\(a_{n}\) = a₁ \((r)^{n-1}\)

where a₁ is the first term and r the common ratio

here a₁ = 3 and r = - 2 , then

\(a_{n}\) = 3 \((-2)^{n-1}\)

Answer:

\(\sf \dfrac{-3}{2}(-2)^n\)

Step-by-step explanation:

Explicit formulas are used to represent all the terms of the geometric sequence with a single formula.

  \(\sf \boxed{\bf t_n = ar^{n-1}}\)

a is the first term.

r is the common ratio.

r = second term ÷ first term.

   3 , - 6 , 12, - 24, 48 ,........

a = 3

r = -6 ÷ 3 = -2

         \(\sf t_n = 3*(-2)^{(n-1)}\\\\\)

             \(\sf = 3*(-2)^{n}*(-2)^{-1}\\\\ =3*(-2)^n*\dfrac{-1}{2}\\\\= \dfrac{-3}{2}(-2)^n\)

Check:

\(\sf t_1 =\dfrac{-3}{2}*(-2)^1=\dfrac{-3}{2}*(-2) = 3\\\\\\t-2 = \dfrac{-3}{2}*(-2)^2 = \dfrac{-3}{2}*4=-6\\\\\\t_3=\dfrac{-3}{2}*(-2)^3=\dfrac{-3}{2}*(-8)=12\)