Two balls are drawn in succession without replacement from a box containing 5 red balls and 7 black balls. The possible outcomes and the values of the random variable X, where X is the number of red balls.i-Findtheprobabilitydistributionofthenumberofredballs.ii- Find cumulative distribution function (CDF).

Ana va a cumplir los 36 anos de edad.

Answer:

\(542\)

pis aret

It should be noted that the addition of the variables give in the expression will be 11✓2.

It should be noted that the information is incomplete. Therefore, an overview will be given. In this case, let a = ✓2, b = ✓8 and c = ✓128.

This can be illustrated as:

= a + b + c

= ✓2 + ✓8 + ✓128

= ✓2 + 2✓2 + 8✓2

= 11✓2

Therefore, it should be noted that the should be noted that the addition of the variables give in the expression will be 11✓2

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Answer:

x = 13

Step-by-step explanation:

Given:

–5(x – 20) = 35

Solve:

–5(x – 20) = 35

Distribute the equation:

{-5 × x = -5x}
{-5 × -20 = 100}

-5x + 100 = 35

Subtract both sides by 100

-5x + 100 = 35

-5x + 100 - 100 = 35 -100

Simplify

-5x = -65

Divide both sides by -5

-5x/5 = -65/5

Solution:

x = 13

Kavinsky

Answer:

13

Step-by-step explanation:

because 13-20=-7

and -7x-5=35

so the answer is c

Answer:

Step-by-step explanation:

1 )

\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)

2 )

\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)

The inequality representing the given situation is -

300x + 700y ≤ 7500

Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.

Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.

We can write the inequality as -

300x + 700y ≤ 7500

where -

{x} - number of online ads posted

{y} - number of TV ads poste

Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.

Therefore, the inequality representing the given situation is -

300x + 700y ≤ 7500

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The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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Just count how many times a given age appears in the data. If my eyes aren't deceiving me, I count

• 26: 3

• 27: 5

• 28: 5

• 29: 5

• 30: 2

• 31: 1

• 33: 4

Then the second most frequent age in the data is 33, and the least frequent is 31.

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

Step-by-step explanation: Perform the division by considering the dividend a whole number

Answer:

12.08

Step-by-step explanation:

After setting up your equation (217.44/18) you first need to figure out how many times 18 can go into 21 (because 18 cannot go into 2 so it needs to be roped with the 1). After finding this answer, 1, you would have a remainder of 3, this is brought down along with the 7 to give you 37. You now need to find how many times 18 goes into 37, this answer is 2 and your remainder is 1. (At this point you are working in the decimals so make sure to put a decimal in the correct spot). The new number you have after bringing down the 4 is 14. 18 cannot go into 14 so you need to put a zero in the tenths place. You now need to bring down the other 4 and merge it with the existing 14 to give you 144. after dividing 144 by 18 you have 8. Put this 8 in the hundredths place and you have your answer of 12.08.

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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                                                   uh i could never, sorry

Answer:

The probability is 0.7449

Step-by-step explanation:

Given

\(n = 12\) ---- total

\(r = 5\) --- selection

\(Genre =\{Rap(4), Country (5), Heavy\ metal (3)\}\)

Required

Probability of buying at least 1 of each genre

First, we calculate the total possible selection.

To select 5 CDs from a total of 12, we use:

\(^nC_r = \frac{n!}{(n - r)!r!}\)

\(^{12}C_5 = \frac{12!}{(12 - 5)!5!}\)

\(^{12}C_5 = \frac{12!}{7!5!}\)

Expand

\(^{12}C_5 = \frac{12*11*10*9*8*7!}{7!*5*4*3*2*1}\)

\(^{12}C_5 = \frac{12*11*10*9*8}{5*4*3*2*1}\)

\(^{12}C_5 = \frac{95040}{120}\)

\(^{12}C_5 = 792\)

So, the total selection is:

\(Total = 792\)

To select at least 1 from each genre, there are 6 possible scenarios.

And they are:

\(\begin{array}{ccc}{Heavy\ Metal (3)} & {Rap (4)} & {Country(5)} & {3} & {1} & {1} & 2 & {1} & {2} & {2} & {2} & {1}& {1} & {2} & {2}& {1} & {3} & {1}& {1} & {1} & {3} \ \end{array}\)

The possible selections for the given scenario is:

\(Possible = ^3C_3* ^4C_1 * ^5C_1 +^3C_2* ^4C_1 * ^5C_2 +^3C_2* ^4C_2 * ^5C_1 +^3C_1* ^4C_2 * ^5C_2 +^3C_1* ^4C_3 * ^5C_1 +^3C_1* ^4C_1 * ^5C_3\)

Using a calculator, we have:

\(Possible = 1*4*5 +3*4*10 +3*6*5 +3*6*10+3*4*5+3*4*10\)

\(Possible= 20 +120 +90 +180+60+120\)

\(Possible = 590\)

The probability is then calculated using:

\(Pr = \frac{Possible}{Total}\)

\(Pr = \frac{590}{792}\)

\(Pr = 0.7449\)

Answer: 18 days

Step-by-step explanation:

10 + 3x = 4x - 8

you see this? pretty cool setup here

ok

so now lets combine like terms. do the opposite on both sides. whats the opposite of 4x? -4x so lets subtract 4x from both sides

10-x=-8

ok now add 8 to both sides

18 - x = 0

x = 18

18 days

OH YEAH!!!! YOU GOT THIS!!!! MASTER OF MATH!!!! OH YEAH!!!! CURIOSITY!!!!!!!!!!!

Answer:

distance, speed, time, temperature , work, energy, charge, voltage are all scalar quantities. Displacement, velocity, acceleration, force, electromagnetic field are all vector quantities.

Step-by-step explanation:

Displacement and velocity.

Answer:

-2 is the correct answer

Answer:

heyyyy

Step-by-step explanation:

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:

3/18

Step-by-step explanation:

Answer:

9 − (3 x 2) ÷ 3 + 6 is the answer

Answer:

15

Step-by-step explanation:

25% is half of 50%, half of 30 is 15

Answer: x = - 10

Step-by-step explanation:

    We will use the equation given, substitute -1,000 in for y, and solve.

y = x³

(1,000) = x³

\(\sqrt[3]{ (1,000)} = \sqrt[3]{x^3}\)

- 10 = x

x = - 10

By definition of linear independence, the vectors in the set {a, b, c} are independent if

\(k_1\vec a+k_2\vec b+k_3\vec c=\vec0\)

can only be obtained with the choice of k₁ = k₂ = k₃ = 0.

This vector equation corresponds to the system of linear equations

\(\begin{cases}k_1 - 2k_3 = 0 \\ 2k_1 + k_2 = 0 \\ k_1 + 2k_3 = 0\end{cases}\)

The first equation says k₁ = 2 k₃, while the third one says k₁ = -2 k₃. This can only be possible if k₁ = k₃ = 0, and from the second equation it follows that k₂ = 0. So the given set is linearly independent (and *not* dependent).

Answer:

3x + y = 20

Step-by-step explanation:

Answer:

\(Step1. Find \ slope \ of \ the \ line \ passing \ through\ P(6,2), Q(8,-4)\\m = \frac{y_{2} -y_{1} }{x_{2}- x_{1} } = \frac{-4-2}{8-6} = \frac{-6}{2} = -3\)

\(Step2 . Equation \ of \ line\ \\(y - y_{2}) = m (x -x_{2} )\\ (y + 4) = -3(x - 8)\\y + 4 = -3x +24\\y = -3x +24-4\\y = -3x +20\)

The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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Answer:

The y intercept is -10

Step-by-step explanation:

Given

\(g(x)=(x+1)(x-2)(x+5)\)

Required

The y intercept

To calculate the y intercept, we set \(x = 0\)

So, we have:

\(g(x)=(x+1)(x-2)(x+5)\)

\(g(0)=(0+1)(0-2)(0+5)\)

\(g(0)=(1)(-2)(5)\)

\(g(0)=-10\)

The Circle Sector Area correct answer is: O n(30in)2

To calculate the area of the sector in the circle, you would typically use the formula:

Area = (θ/360) * π *\(r^2\)

where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

From the options you provided, the correct choice would be:

O n(30in)2

This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)

Therefore, the Circle Sector Area correct answer is: O n(30in)2

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The three-dimensional shape is formed would be as;  rectangle

Consider the square that has to be rotated about the axis as shown in the picture.

In the attached diagrams this square is black rectangle ABCD.

While rotating each point of the square will describe the circle. The circles with the greatest radii will be circles made by the points from the side that is opposite to the side on the axis of rotation.

We can take that point in any of the two surrounding quadrants. Example, if the point is on the positive x axis, then it can taken as of first quadrant or fourth quadrant.

The formed figure appears to be a rectangle.

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