write the verbal phrase the product of one half and a number is greater than or equal to one hundred

Answer: The blank space in the equation is 4.

Step-by-step explanation: -6 x +2 is -12. -48/-12 is 4. Therefore, the blank space in the equation is 4.

The probability of the hand containing 4 queens when picked at random is 0.0026.

We can solve the given question easily using probability,  permutations, and combinations.

 We can pick any card other than the queen in the following number of ways = ⁴⁸C₉  (i)

The queen card can be picked in the following number of ways

= ⁴C₄= 1 (ii)

The total number of ways to choose 13 cards is = ⁵²C₁₃  (iii)

Using the values of (i), (ii), and (iii), we get -

Probability = (⁴⁸C₉ * 1) /  ⁵²C₁₃

= \(\frac{48!/9!(48-9)! *1 }{52!/13!(52-13)! }\)

= 1677106640 * 1 / 635013559600

= 0.00264

If this is rounded to four decimal places, we get = 0.0026.

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Answer:

for v=1/4 , p=32

Step-by-step explanation:

p=8:1/4=8*4/1=32

Answer:

D: 32

Step-by-step explanation:

For edge

To find the inverse of matrix A = [1 2; 1 0], we can use the Cayley-Hamilton theorem. The theorem states that every square matrix satisfies its own characteristic equation.

By finding the characteristic equation and substituting the matrix A into it, we can determine the inverse of A. Additionally, to compute A³, we can raise the matrix A to the power of 3 by multiplying it with itself twice.

(i) To find the inverse of matrix A = [1 2; 1 0], we start by finding its characteristic equation. The characteristic equation of A is given by det(A - λI) = 0, where det denotes the determinant, λ is the eigenvalue, and I is the identity matrix. Substituting A into this equation gives det([1-λ 2; 1 -λ]) = 0. Expanding this determinant, we get (1-λ)(-λ) - (1)(2) = 0, which simplifies to λ² - λ - 2 = 0. Solving this quadratic equation, we find the eigenvalues λ₁ = 2 and λ₂ = -1. Next, we substitute these eigenvalues back into the equation (A - λI)X = 0, where X is the eigenvector. Solving the two systems of equations, we find the eigenvectors X₁ = [1 1] and X₂ = [-2 1]. Finally, the inverse of matrix A can be computed using the formula A⁻¹ = XBX⁻¹, where B is a diagonal matrix with the eigenvalues as its diagonal entries and X⁻¹ is the inverse of the eigenvector matrix. Therefore, the inverse of A is A⁻¹ = (1/3) [1 -2; 1 1].

(ii) To compute A³, we multiply the matrix A with itself twice: A³ = AAA. Performing the matrix multiplication, we have A² = A * A = [1 2; 1 0] * [1 2; 1 0] = [3 2; 1 2], and then A³ = A * A² = [1 2; 1 0] * [3 2; 1 2] = [5 6; 3 2]. Therefore, A³ = [5 6; 3 2].

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.

In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.

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Answer:

- 4

Step-by-step explanation:

The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to

= -6 - 6 + 10 + 2 -4

= -4

Anthony earned a total of - 4 from the 5 throws.

Answer:

2154

Step-by-step explanation:

Answer:

A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $32 per pair of shoes. The shoes ...

5 pages

Step-by-step explanation:

The number of Americans experience hearing loss sufficient to affect communication is: 1 in 4.

According to the National Institute on Deafness and Other Communication Disorders (NIDCD).

Approximately 1 in 4 adults in the United States aged 65 and older have hearing loss that is sufficient to affect communication.

This is based on data from a survey conducted by the NIDCD and the National Health Interview Survey.

NIDCD (National Institute on Deafness and Other Communication Disorders).

In the United States, 1 in 4 persons 65 and older suffer hearing loss severe enough to impair conversation.

This is based on information from surveys done by the National Health Interview Survey and the NIDCD.

The number of Americans who experience hearing loss sufficient to affect communication is: 1 in 4.

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Answer:

21°

angles remain the same

Answer:

4x = 25.00

X= $6.25

Step-by-step explanation:

If you divide 25.00 by 4 the answer should be 6.25

tricia wants to install a decorative wall paper border around the top of the wall in her master bedroom. the room measures 14ft by 17ft. then perimeter 62 feet of the border will will she need

For the installation of a decorative wall paper Tricia will need 70 ft of the border to decorate the wall of her master bedroom.

The measures of the room is 17 ft by 14 ft.

So, the length of the room (l) = 17 ft

The width of the room(w) = 14 t

As we know that, perimeter of rectangle is 2(l×w).

We will get perimeter of he room = 2l × 2w

                                                   = 2(17) × 2(14)

                                                   = 62 ft.

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this is difficult lol im scared to attempt this so i wont

Given \(`(1/9)^a = 81^(a1)*27^(2-a)`\) We need to find the value of a.Let's write the values of 81 and 27 in terms of powers of\(3.81 = 3^4 and 27 = 3^3\)

Substituting the values, we have:

\((1/9)^a \\= 3^(4*a1) * 3^(3-3a)(1/9)^a\\ = 3^(4*a1) * 3^3 * 3^(-3a)(1/9)^a\\ = 3^(4*a1 + 3 - 3a)3^(-4a + 3)\\ = 3^(4*a1 + 3 - 3a)3(-4a + 3) \\= 4*a1 + 3 - 3a12a1 - 3a + 3\\ = 4a1 + 3 - 3a8a1 = 0a1\\ = 0As `a1 = 0`,  \\`8a1 = 0`\)

Thus, `a = 2`

A hexagon is a six-sided polygon or hexagon in geometry that makes up the cube's outline. A straightforward hexagon's internal angles add up to 720°. A closed two-dimensional polygon with six sides is what is known as a hexagon in geometry. Additionally, a hexagon has 6 corners on each side. Hexa signifies six, and gona denotes an angle. Soccer balls, honeycombs, floor tiles, and surfaces of pencils are all hexagonal in shape. A hexagon is a polygon with six sides in geometry. A hexagon is referred to as a regular hexagon if all of its sides and angles have the same length.

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The value of |(a x a) u a)| = 16, when a is a set with a = { 2, 5, 7, 11 }.

|(a x a) u a)| is the cardinality of the set obtained by the union of the cartesian product of a with itself, and a.

The cartesian product of a with itself is the set of all possible ordered pairs (x,y) where x and y are elements of a. Therefore, a x a = { (2,2), (2,5), (2,7), (2,11), (5,2), (5,5), (5,7), (5,11), (7,2), (7,5), (7,7), (7,11), (11,2), (11,5), (11,7), (11,11) }

The union of a x a and a is the set of all unique elements that belong to both sets. Since all elements of a are also in a x a, the union will have the same elements as a x a plus the elements of a. Therefore, (a x a) u a = { (2,2), (2,5), (2,7), (2,11), (5,2), (5,5), (5,7), (5,11), (7,2), (7,5), (7,7), (7,11), (11,2), (11,5), (11,7), (11,11), 2, 5, 7, 11 }

The cardinality of a set is the number of distinct elements it contains. The set (a x a) u a contains 16 distinct elements, therefore |(a x a) u a)| = 16.

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Answer: A solution to a system of equations means the point must work in both equations in the system. So, we test the point in both equations. It must be a solution for both to be a solution to the system. Hope this helps.

I hope it helps if it does can please mark me as Brainliest thank you!

The parallel street to that one lines on the equation y = 2x -1

To find the parallel street to the one we have the points given, we have to first of all, find the slope of the given point and then pick a coordinate.

Using the value above, let's find the slope of the line.

\(m = \frac{y_2 - y_1}{x_2 - x_1} \\\)

Let's substitute the values into the equation and solve.

\(m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{9 - (-5)}{5 - (-2)} \\m = \frac{14}{7} \\m = 2\)

The slope of the line is equal to 2.

Let's use this to find the equation of the line

\(y = mx + c\)

Using one of the points,

\(y = mx + c\\9 = 2(5) + c\\9 = 10 + c\\c = - 1\\\)

The equation of the line is

\(y = 2x - 1\)

From the calculation above, the equation of the line is y = 2x - 1

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The four Pauli matrices X, Y, Z, and I form an orthonormal basis for the space of 2×2 matrices.

To show that the four Pauli matrices X, Y, Z, and I form an orthonormal basis for the space of 2×2 matrices, we need to demonstrate two properties: linear independence and orthogonality.

1. Linear Independence:

A set of matrices is linearly independent if no matrix in the set can be written as a linear combination of the others. Let's consider the four Pauli matrices:

X = |0  1|      Y = | 0  i|      Z = | 1  0|      I = |1  0|

     |1  0|            |−i  0|            | 0 −1|            |0  1|

To show that these matrices are linearly independent, we'll assume that a linear combination of these matrices equals the zero matrix:

aX + bY + cZ + dI = |0  0|

                               |0  0|

Expanding the left-hand side, we have:

a|0  1| + b| 0  i| + c| 1  0| + d|1  0| = |0  0|

        |1  0|         |−i  0|         |0  1|

This can be rewritten as:

|0   a   c   d|   | 0|   |0|

|1   0   bi  0| * | 1| = |0|

|1  −bi  0   0|   | 0|   |0|

|d   0   0   a|   | 1|   |0|

Now, if we compute the product on the left-hand side, we get:

| c|   |0|

| a| = |0|

|-bi|   |0|

| d|   |0|

From this, we can conclude that a = b = c = d = 0. Therefore, the four Pauli matrices are linearly independent.

2. Orthogonality:

To show that the four Pauli matrices are orthogonal, we need to demonstrate that their inner products are zero. Let's calculate the inner product of each pair:

(X, X) = Tr(X†X) = Tr(|0  1| |0  1|)

                                          |1  0| |1  0|

       = Tr(|0  0|)

                |0  0|

       = 0

(Y, Y) = Tr(Y†Y) = Tr(| 0  i| | 0 −i|)

                                          |−i  0| | i  0|

       = Tr(| 0   1|)

                |−1   0|

       = 0

(Z, Z) = Tr(Z†Z) = Tr(|1  0| |1  0|)

                                          |0 −1| |0 −1|

       = Tr(|1  0|)

                |0  1|

       = 2

(I, I) = Tr(I†I) = Tr(|1  0| |1  0|)

                                          |0  1| |0  1|

       = Tr(|1  0|)

                |0  1|

       = 2

(X, Y) = Tr(X†Y) = Tr(|0  1| | 0  i|)

                                          |1  0| |−i  0|

       = Tr(|−i  0|)

                | 0  i|

       = 0

(X, Z)

= Tr(X†Z) = Tr(|0  1| |1  0|)

                                          |1  0| |0 −1|

       = Tr(|0 −1|)

                |1  0|

       = 0

(X, I) = Tr(X†I) = Tr(|0  1| |1  0|)

                                          |1  0| |0  1|

       = Tr(|0  1|)

                |1  0|

       = 0

(Y, Z) = Tr(Y†Z) = Tr(| 0  i| |1  0|)

                                          |−i  0| |0 −1|

       = Tr(| 0  i|)

                |i  0|

       = 0

(Y, I) = Tr(Y†I) = Tr(| 0  i| |1  0|)

                                          |−i  0| |0  1|

       = Tr(| 0  i|)

                |−i  0|

       = 0

(Z, I) = Tr(Z†I) = Tr(|1  0| |1  0|)

                                          |0 −1| |0  1|

       = Tr(|0  0|)

                |−1  0|

       = 0

From these calculations, we can see that the inner product of any two distinct Pauli matrices is zero, except for (Z, Z) and (I, I), which both equal 2.

Therefore, the four Pauli matrices X, Y, Z, and I form an orthonormal basis for the space of 2×2 matrices.

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We move all terms to the left:

Multiply

We add all the numbers and all the variables.

We move all terms containing x to the left hand side, all other terms to the right hand side

Answer:

x =  ± 19

Step-by-step explanation:

x² = 361

x = ±√361

x =  ± 19

Answer:

answer is no

Step-by-step explanation:

Answer:

Approximately 0.1894 or 18.94% of the population is less than 10.0.

Step-by-step explanation:

On use the z-score formula and the standard normal distribution.

a. To compute the z-value associated with 14.3, we use the formula:z = (x - μ) / σWhere:

x = 14.3 (the value)

μ = 12.2 (mean)

σ = 2.5 (standard deviation)

Substituting the values:

z = (14.3 - 12.2) / 2.5

z = 2.1 / 2.5

z ≈ 0.84

Therefore, the z-value associated with 14.3 is approximately 0.84.

b. To obtain the proportion of the population between 12.2 and 14.3, we need to get the area under the standard normal distribution curve between the corresponding z-scores.

Using a standard normal distribution table or a calculator, we can find the area associated with each z-score.The z-value for 12.2 can be calculated using the same formula as in part a:

z1 = (12.2 - 12.2) / 2.5

z1 = 0 / 2.5

z1 = 0

The z-value for 14.3 is already known from part a: z2 ≈ 0.84.

Now, we obtain the proportion by subtracting the area associated with z1 from the area associated with z2:

Proportion = Area(z1 < z < z2)

Using a standard normal distribution table or a calculator, we obtain:

Area(z < 0) ≈ 0.5000 (from the table)

Area(z < 0.84) ≈ 0.7995 (from the table)

Proportion = 0.7995 - 0.5000

Proportion ≈ 0.2995

Therefore, approximately 0.2995 or 29.95% of the population is between 12.2 and 14.3.

c. To obtain the proportion of the population less than 10.0, we need to get the area under the standard normal distribution curve to the left of the corresponding z-score.Using the z-score formula:z = (x - μ) / σ

Where:

x = 10.0 (the value)

μ = 12.2 (mean)

σ = 2.5 (standard deviation)

Substituting the values:

z = (10.0 - 12.2) / 2.5

z = -2.2 / 2.5

z ≈ -0.88

Now, we obtain the proportion by looking up the area associated with z ≈ -0.88 using a standard normal distribution table or a calculator:

Area(z < -0.88) ≈ 0.1894 (from the table)

Therefore, approximately 0.1894 or 18.94% of the population is less than 10.0.

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Answer:

it is a straight line on the graph that either goes up or down or diagonolly and its rate of growth stays the same.

Answer:

chicken

Step-by-step explanation:

Pythagorean theorem:

\(a^{2} +b^{2} =c^{2}\)

can quickly be written as a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse (longest side, opposite the RIGHT/90 degree angle.

You can call either leg a or b, but the hypotenuse is always c.

Step-by-step explanation:

School to gas:

75^2-25^2 = a^2

5000=a^2

Take square root of both sides

70.7=a

So select 70.7 for school to gas.

Museum to vet office:

18^2-15^2=a^2

99=a^2

Take square root of both sides

9.9 = a.

So select 9.9 for museum to vet.

Vet to hospital:

15^2+25^2=c^2

850=c^2

Take square root of both sides

29.2=c

So select 29.2 for vet to hospital.

Museum to bakery:

60^2-45^2=a^2

1575=a^2

Take square root of both sides

39.7 = a

So select 39.7 for museum to bakery.

Bakery to house:

45^2+20^2=c^2

2425=c^2

Take square root of both sides

49.2=c

So select 49.2 for bakery to house.

Cinema to fire station:

50^2+20^2=c^2

2900=c^2

Take the square root of both sides

c=53.9

So select 53.9 for cinema to fire station.

School to fire station:

The hypotenuse (c) = 75+15=90. Look at the map to see how I got these numbers and added them up.

The leg is 30.

90^2-30^2=a^2

7200=a^2

Take the square root of both sides

84.9=a

So select 84.9 for school to fire station.

Answer: 1 1/8 teaspoons

Step-by-step explanation:

1 person = 3/8 teaspoons

3/8 x 3 = 1 1/8 teaspoons

Solve this problem using the golden ratio. Given the golden ratio (1 + √5) : 2 and the width of the door, we will find the height of the door.

Step 1: Write the ratio as a fraction.
The golden ratio can be written as a fraction: (1 + √5) / 2.

Step 2: Set up a proportion.
Let the height of the door be h. Then we can write the proportion:

height : width = (1 + √5) / 2
h / 36 = (1 + √5) / 2

Step 3: Solve for h.
To find the height of the door, we'll cross-multiply and solve for h:

h = 36 * (1 + √5) / 2

Step 4: Simplify the expression.
First, we'll distribute the 36:

h = (36 + 36√5) / 2

Next, we'll divide each term by 2:

h = (18 + 18√5)

So, the height of the door is 18 + 18√5 inches, which is in simplest radical form.

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At most, they can wash 96 cars and mow 96 lawns.

To determine the maximum number of cars they can wash and lawns they can mow, we need to consider the work rates of each person and the total number of hours they work.

Huey can wash 6 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 6 \(\times\) 8 = 48 cars or mow 3 \(\times\) 8 = 24 lawns.

Dewey can wash 3 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 3 \(\times\) 8 = 24 lawns.

Louie can wash 3 cars or mow 6 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 6 \(\times\) 8 = 48 lawns.

Since two of them wash cars and one mows lawns, the maximum number of cars they can wash is the sum of the maximum cars each person can wash, which is 48 + 24 + 24 = 96 cars.

The maximum number of lawns they can mow is the sum of the maximum lawns each person can mow, which is 24 + 24 + 48 = 96 lawns.

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Step-by-step explanation:

A n L =null

A U L= a,b,c,e,k,j

Answer:

1a (x + y)² = x² + 2xy + y²

1b. (x - y)² = x² - 2xy + y²

2. (x + y)² - (x - y)² = 4xy

3. 4² – 2² = 12

Step-by-step explanation:

1a. Expansion of (x + y)²

(x + y)² = (x + y)(x + y)

(x + y)² = x(x + y) + y(x + y)

(x + y)² = x² + xy + xy + y²

(x + y)² = x² + 2xy + y²

1b. Expansion of (x - y)²

(x - y)² = (x - y)(x - y)

(x - y)² = x(x - y) - y(x - y)

(x - y)² = x² - xy - xy + y²

(x - y)² = x² - 2xy + y²

2. Determination of (x + y)² - (x - y)²

This can be obtained as follow

(x + y)² = x² + 2xy + y²

(x - y)² = x² - 2xy + y²

(x + y)² - (x - y)² = x² + 2xy + y² - (x² - 2xy + y²)

= x² + 2xy + y² - x² + 2xy - y²

= x² - x² + 2xy + 2xy + y² - y²

= 2xy + 2xy

= 4xy

(x + y)² - (x - y)² = 4xy

3. Writing 12 as the difference of two perfect square.

To do this, we shall subtract 12 from a perfect square to obtain a number which has a perfect square root.

We'll begin by 4

4² – 12

16 – 12 = 4

Find the square root of 4

√4 = 2

4 has a square root of 2.

Thus,

4² – 12 = 4

4² – 12 = 2²

Rearrange

4² – 2² = 12

Therefore, 12 as a difference of two perfect square is 4² – 2²