Please help I’m stuck

0.001828 (option b) is the probability that the hand contains 4 jacks .

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

Number of ways to pick the four jacks = 4C4

Number of ways to pick the other 8 cards from 48= 48C8

Number of ways to pick a hand of 12 from the full deck = 52C12

P(4 J's and 8 others)= [4C4*48C8]/52C12 = 377348994/2.06379...x10^11

=0.001828...

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This is the same as the probability of picking 8 cards that are not

jacks in a hand of 12 cards or 48C8/52C12.

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Answer:

this is not really a math question

Step-by-step explanation:

 B = | 1 0 0 |
      | 0 1 0 |
      | 1 1 2 |

To construct a matrix whose column space contains vectors [1, 0, 1] and [0, 1, 1], and whose nullspace contains the vector [2, 1, 2], follow these steps:

1. Form the column space by arranging the given vectors as columns of the matrix A:
  A = | 1 0 |
      | 0 1 |
      | 1 1 |

2. Determine a third column vector (C) that, when added to A, will create a matrix that has the given nullspace vector. To do this, use the equation Ax = 0, where x is the nullspace vector [2, 1, 2]. Multiply the matrix A with the nullspace vector to find the third column vector:

  A * x = | 1 0 | * |2| = |2|
          | 0 1 |   |1|   |1|
          | 1 1 |   |2|   |4|

3. Subtract the nullspace vector from the product obtained in step 2 to get the third column vector (C):

  C = Ax - x = | 2 - 2 | = | 0 |
               | 1 - 1 |   | 0 |
               | 4 - 2 |   | 2 |

4. Combine the matrix A with the third column vector C to form the final matrix B:

  B = | 1 0 0 |
      | 0 1 0 |
      | 1 1 2 |

The matrix B has the required column space containing [1, 0, 1] and [0, 1, 1] and a nullspace containing [2, 1, 2].

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Answer5 times 6=30 divide bc its a triangle the answer is 15

Step-by-step explanation:

The inequality shaded in the graph is given as follows:

y ≥ 5x/2 + 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = 3.

When x increases by 2, y increases by 5, hence the slope m is given as follows:

m = 5/2.

Then the equation of the line is given as follows:

y = 5x/2 + 3.

The line is a solid line, and values above it are plotted, hence the inequality is given as follows:

y ≥ 5x/2 + 3.

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If the economy is at point E on the aggregate supply curve, the likely adjustment process would involve nominal wages increasing, and the short-run aggregate supply curve shifting left until actual and potential output are equal.

When the economy is at point E, it indicates that actual output is greater than potential output. In this scenario, there is upward pressure on wages due to the higher demand for labor. As nominal wages increase, the cost of production for firms also increases. This leads to a leftward shift of the short-run aggregate supply (SRAS) curve.

The leftward shift of the SRAS curve means that at any given price level, firms are willing to produce and supply a lower quantity of goods and services. As a result, the economy moves along the aggregate demand (AD) curve toward a new equilibrium where actual output matches potential output. This adjustment process helps to close the output gap and restore equilibrium in the economy. By increasing nominal wages and shifting the SRAS curve to the left, the adjustment process aims to align actual output with potential output and achieve a more balanced economic state.

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The return on portfolio is 4.11%.

The initial investment

Investment in Merck = Number of shares of Merck × Price per share Investment in Merck = 120 shares × $40 per share

Investment in Merck = $4,800

Investment in Yahoo = Number of shares of Yahoo × Price per share Investment in Yahoo = 100 shares × $25 per share

Investment in Yahoo = $2,500

Now, let's calculate the current value of the portfolio

Current value of Merck = Number of shares of Merck × Current price per share

Current value of Merck = 120 shares × $45 per share

Current value of Merck = $5,400

Current value of Yahoo = Number of shares of Yahoo × Current price per share

Current value of Yahoo = 100 shares × $22 per share Current value of Yahoo = $2,200

Current value of the portfolio = Current value of Merck + Current value of Yahoo

Current value of the portfolio = $5,400 + $2,200 Current value of the portfolio = $7,600

To calculate the return on the portfolio, we need to subtract the initial investment from the current value of the portfolio and divide it by the initial investment

Return on portfolio = (Current value of the portfolio - Initial investment) / Initial investment

Return on portfolio = ($7,600 - ($4,800 + $2,500)) / ($4,800 + $2,500)

Return on portfolio = ($7,600 - $7,300) / $7,300

Return on portfolio = $300 / $7,300

Return on portfolio ≈ 0.0411 or 4.11%

Therefore, the return on your portfolio is approximately 4.11%.

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The question is incomplete the complete question is :

Answer:

1/2

Step-by-step explanation:

When you have two points you need to use the slope formula:

\(m=\frac{y_{2}-y_{1} }{x_{2}-x_1}\)

x1 and y1 is the first point and x2 and y2 is the second point, remember that the first number is X and the other is Y so...

\(m=\frac{5-4}{3-1} \\m=\frac{1}{2}\)

1/2 is the slope of the points

The statement AUB = A is true if and only if set B is a subset of set A.

To see why this is the case, we can use the definition of set union. Recall that AUB is the set of all elements that belong to either A or B (or both). So, if AUB = A, every element in B must also be in A (since all elements in AUB are also in A). Therefore, B is a subset of A.

In summary, AUB = A is true if and only if every element in B is also in A, which means that B is a subset of A.

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So, the Cartesian coordinates can be written as:x = r sin θ cos φy = r sin θ sin φz = r cos θThe equation of the sphere is given by the expression:x2 + y2 + z2 = 4 ⇒ r = 2Substituting these values in the equation, we get the limits of integration.

The statement of Divergence Theorem:The theorem of divergence, also known as Gauss’s theorem, relates a vector field to a surface integral. Divergence can be described as the flow of a vector field from a point. The statement of the theorem of divergence is:∬S (F.n) dS = ∭(div F) dVHere, S is a closed surface enclosing volume V, n is the unit vector normal to S, F is the vector field, and div F is the divergence of F.Calculation of Flux:To calculate the flux of the vector field F across the closed surface S, we need to integrate the scalar product of F and the unit normal vector n over the closed surface S. The flux of a vector field F through a closed surface S is given by the following equation:Φ = ∬S F.n dSUsing the spherical coordinate system to calculate the flux Φ, we express F in terms of r, θ, and φ coordinates, where r represents the distance from the origin to the point, φ is the azimuthal angle measured from the x-axis, and θ is the polar angle measured from the positive z-axis.The limits of integration are0 ≤ θ ≤ π2 ≤ φ ≤ πVolume element:From the formula:r2sinθdrdθdφSubstituting the value of r and the limits of integration, the volume element will be:(2)2sinθdφdθdφ = 4sinθdφdθWe need to calculate the flux of the vector field F(x, y, z) = x'i + y3j + z3k across the surface S: x2 + y2 + 22 = 4 and z = 0 using the divergence theorem and spherical integral.Let us solve for the divergence of the given vector field F, which is defined as:div F = ∇.F= d/dx(xi) + d/dy(y3j) + d/dz(z3k)= 1 + 3 + 3= 7Using the divergence theorem, we get:∬S F.n dS = ∭(div F) dVΦ = ∭(div F) dV= ∭7 dV= 7 ∭ dV= 7Vwhere V is the volume enclosed by the surface S, which is a sphere with a radius of 2 units.Using spherical integration:Φ = ∬S F.n dS = ∫∫F.r2sinθdφdθ= ∫π20 ∫π/20 ∫42 r4sinθ(cos φi + sin3 φ j) dφdθdrWe know, r = 2, limits of integration are:0 ≤ r ≤ 2, 0 ≤ θ ≤ π/2, 0 ≤ φ ≤ π/2Φ = ∫0^2 ∫0^(π/2) ∫0^(π/2) 16sinθ(cos φ i + sin3φ j) dφdθdr= ∫0^2 16[cos φ i ∫0^(π/2) sinθ dθ + sin3 φ j ∫0^(π/2) sin3 θ dθ] dφdθ= ∫0^2 16[cos φ i (-cos θ) from 0 to π/2 + sin3φ j(1/3)(-cos3 θ) from 0 to π/2] dφdθ= ∫0^2 16[cos φ i + (sin3 φ)j] (1/3)(1 - 0) dφdθ= (16/3) ∫0^2 (cos φ i + sin3 φ j) dφdθ= (16/3)[sin φ i - (1/12) cos3 φ j] from 0 to 2π= (16/3)[(0 - 0)i - (0 - (1/12)) j]= (16/36)j= (4/9)jTherefore, the flux of the given vector field F across the surface S is (4/9)j.

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According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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Answer:

Width = 25

Length = 58

Step-by-step explanation:

Let the width = w

Length = 2w + 8

2(w + 2w + 8) = 166               Combine terms in the brackets

2(3w + 8) = 166                      Divide both sides by 2

(3w + 8) = 83                          Subtract 8 from both sides

3w = 83 - 8

3w = 75                                  Divide by 3

w = 25

L = 2*25 + 8                           Find the Length

L = 50 + 8 = 58                      

Answer:

Edge length in inches = 3√(v in³)

Step-by-step explanation:

A jewelry box is shaped like a cube, with it's volume as v cubic inches.

The formula for the volume of a cube = (edge length)³

From the question, we are asked to write an expression that represents the edge length of julies jelwery box in inches

volume of a cube = (edge length)³

v in³ = edge length ³

We cube root both side

= 3√(v in³) = 3√(edge length³)

Edge length = 3√(v in³)

Therefore, the expression that represents the edge length of julies jelwery box in inches is:

Edge length in inches = 3√(v in³)

Step-by-step explanation:

\( \tan(2x) = 1.5\)

Take the arc tangent,

\( \tan {}^{ - 1} ( \tan(2x) ) = \tan {}^{ - 1} (1.5) \)

\(2x = 56.3\)

\(x = 28.15\)

b.

\((3 \cos(x) + 1)(2 \cos(x) + 3) = - 2\)

\(6 \cos {}^{2} (x) + 11 \cos(x) + 3 = - 2\)

\(6 \cos {}^{2} (x) + 11 \cos(x) + 5 = 0\)

\(6 \cos {}^{2} (x) + 6 \cos(x) + 5 \cos(x) + 5 = 0\)

\(6 \cos(x) ( \cos(x) + 1) + 5( \cos(x) + 1) = 0\)

\((6 \cos(x) + 5)( \cos(x) + 1) = 0\)

Set each factor equal to zero.

\(6 \cos(x) + 5 = 0\)

\(6 \cos(x) = - 5\)

\( \cos(x) = - \frac{5}{6} \)

\(x = \cos {}^{ - 1} ( \frac{5}{6} ) \)

\(x = 146.4\)

For the second factor,

\( \cos(x) + 1 = 0\)

\( \cos(x) = - 1\)

\(x = 180\)

So the answer for the second one is

146.4 and 180.

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Answer:

A

Step-by-step explanation:

Answer:

2x+3=9

2x=6

x=3

3w-1=14

3w=15

w=5

7y+2=30

7y=28

y=4

5x+20=35

5x=15

x=3

6c-12=48

6c=60

c=10

8m-4=20

8m=24

m=3

7w+13=90

7w=77

w=11

12p-18=30

12p=48

p=4

9w-5=67

9w=72

w=8

10a+40=100

10a=60

a=6

9x-24=84

9x=108

x=12

7w+1=1

7w=0

w=0

your welcome

Answer:

The answers will be listed below:

A.  \(x=3\)

B.  \(w=5\)

C.  \(y=4\)

D.  \(x=3\)

E. \(c=10\)

F. \(m=3\)

G.\(w=11\)

H. \(p=4\)

I.  \(w=8\)

J. \(a=6\)

K. \(x=12\)

L.\(w=0\)

I would show how to do it but it will take to long.

Here's for the last one

Hope this helps.

f(x) is increasing on the intervals (−∞, π/4) and (5π/4, ∞), and decreasing on the interval (π/4, 5π/4).

To determine the intervals on which f(x) = 3sin(x) + 3cos(x) is increasing and decreasing, we need to find the derivative of f(x) and examine its sign.

f'(x) = 3cos(x) - 3sin(x)

To find where f'(x) = 0, we set the derivative equal to zero and solve:

3cos(x) - 3sin(x) = 0

cos(x) - sin(x) = 0

From this equation, we can see that it is satisfied when x = π/4 and x = 5π/4.

Now, we analyze the sign of f'(x) in different intervals:

For x < π/4: f'(x) > 0, so f(x) is increasing.

For π/4 < x < 5π/4: f'(x) < 0, so f(x) is decreasing.

For x > 5π/4: f'(x) > 0, so f(x) is increasing.

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Answer:

Its B :D

Step-by-step explanation:

Answer

he diameter of the circle is 22 units.

x² + y² - 16x + 12y = 21    

If this answer is correct, please make me Brainliest!

HAVE AN AMAZING DAY GOODLUCK

-Ary

Answer: \(2(xy )^{2}\)  the same thing as 2(\(x^{2} y^{2}\))

Step-by-step explanation:

You multiply 2 by x times y squared.

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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In this the correct choice is: D. There are no relative maxima and no relative minima.

The given function is y = \(x^{3}\) - 12x + 3. To find the relative maxima and minima, we need to calculate the first and second derivatives of the function.

First, let's find the first derivative: y' = 3\(x^{2}\) - 12

Now, let's find the second derivative: y'' = 6x

To apply the second-derivative test, we need to determine the critical points by setting the first derivative equal to zero and solving for x:

3\(x^{2}\) - 12 = 0

\(x^{2}\)- 4 = 0

(x - 2)(x + 2) = 0

From this equation, we find that x = 2 and x = -2 are the critical points.

Now, let's evaluate the second derivative at these critical points:

y''(2) = 6(2) = 12

y''(-2) = 6(-2) = -12

Since the second derivative at x = 2 is positive (12 > 0) and the second derivative at x = -2 is negative (-12 < 0), the second-derivative test tells us that there are no relative maxima or minima. Therefore, the correct choice is D. There are no relative maxima and no relative minima for the given function.

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The complete question is:

Test for relative maxima and minima. Use the second-derivative test, if possible. y=x3 - 12x + 3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The relative maxima occur at x = 2. The relative minima occur at -2. (Type integers or simplified fractions. Use a comma to separate answers as needed.) The relative maxima occur at x=-2. There are no relative minima. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O C. The relative minima occur at x = 2 . There are no relative maxima. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OD. There are no relative maxima and no relative minima.

The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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Answer:

0.2857 is not a rational number.

Step-by-step explanation:

Because rational numbers have to be greater than 1. Decimals are not over 1 so it is not a rational number. Your welcome!

Answer:

n + 2

Step-by-step explanation:

If n is the smallest of three consecutive integers, the largest in the sequence must be only two integers greater.

Answer:

\(2\sqrt{3}+3\)

Step-by-step explanation:

\($\frac{3}{2 \sqrt 3 - 3}$\)

Rationalize the fraction.

\($\frac{3}{2 \sqrt 3 - 3}\cdot \frac{2 \sqrt 3 + 3}{2 \sqrt 3 + 3} =\frac{6\sqrt{3}+9 }{12-9} =\frac{6\sqrt{3}+9 }{3} =2\sqrt{3}+3 $\)

Note that I used the positive signal because we would have a difference of squares.

Answer: -4 and 9

Step-by-step explanation:

The possibility of the outcomes of third coin turn up a head is 2⁹.

Probability:

Probability is the calculated by dividing the favorable outcome by the total number of outcomes.

Given,

Ten coins are tossed simultaneously.

Here we need to find the how many of the outcomes will the third coin turn up a head.

Here we know that,

The third coin must be a head.

So, that means the rest of the coins can be heads or tails.

Therefore, possibility of these can be written as,

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2⁹

different outcomes for the rest of the coins.

Which means the rest of the coins can be either head or tail but the third one is head.

Therefore, the possibility of getting third coin as head is 2⁹.

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Answer:

To factor 4x³-10x²-14x, we can first factor out the greatest common factor, which is 2x:

4x³-10x²-14x = 2x(2x² - 5x - 7)

Next, we can factor the quadratic expression 2x² - 5x - 7 using either factoring by grouping, completing the square, or the quadratic formula. Here, we'll use factoring by grouping:

2x² - 5x - 7 = 2x² - 7x + 2x - 7

= (2x² - 7x) + (2x - 7)

= x(2x - 7) + (2x - 7)

= (2x - 7)(x + 1)

Therefore, the factored form of 4x³-10x²-14x is:

4x³-10x²-14x = 2x(2x - 7)(x + 1)