Suppose A and B are events with 0 < P(A) < 1 and 0 < P(B) < 1.If A and B are disjoint, can they be independent?If A and B are independent, can they be disjoint?If A ? B, can A and B be independent?If A and B are independent, can A and A ? B be independent?

Answer: 3

Step-by-step explanation:

The check mark with the line is a sauare root symbol. It means find the square root of the number next to it. The square root of something is a number times the same number to get the number. For example, the square root of 16 is 4 because 4x4 is 16. 3x3 is 9 so that’s the square root.

To transform is to alter. So, changing any given geometric shape would be considered a geometric transformation.

What does one transformation mean?

A 180° rotation about the origin characterizes the sole transformation. Translation, rotation, reflection, and dilation are the four primary categories of transformation.

The term "Geometric" transformation refers to a group of picture transformations where the geometry of the image is modified without changing the actual pixel values. In general, various actions can be performed on it, but the actual pixel values will not change.

Students get the opportunity to consider fundamental mathematical concepts in novel ways thanks to geometric transformations (e.g., functions whose domain and range are R2). Students can view mathematics as a connected field by using geometric transformations as a framework.

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Answer:

an apple would remain

Step-by-step explanation:

The two events are independent.

Given,

A person is chosen in random .

Now,

Independent events are those events that are not affected by each other.

If events X and Y are independent then the occurrence of one of these two events does not depend on the other in any way.

For two independent events X and Y the joint probability is:

P(X∩Y) = P(X) × P(Y)

Define X and Y as follows:

X = a person has eyes

Y = a person is associated/independent.

The event of a person being  associated/independent does not depend on the event of the person having eyes.

The two events are not at all related.

Thus, the two events are independent.

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The probability that the same number appears twice is 0.16

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The fair die is thrown twice.

The total number of outcomes if a fair die is tossed twice is 36.

The favorable number of outcomes, which also contains six, is six.

Following is a calculation of the likelihood of the same number appearing twice.

Probability = (Number of possible outcomes)/(Total number of outcomes)

                  = 6/36

                  = 0.16

So, the probability is 0.16

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Answer:

the graph is correct

Step-by-step explanation:

try to keep drawing the line further, below y = 0 and above y = 6

Answer: i believe its 3.2 cups per cake

Step-by-step explanation:

9.6 / 3 = 3.2

It takes 3.125 seconds for the golf ball to hit the ground

The equation representing the height is:

h(t) = -64t²  +  200t

At the ground, the height of the ball is zero.

That is, h(t)  =  0

Equate the given equation to zero and solve for t

\(-64t^2+200t=0\\\\64t^2=200t\\\\64t=200\\\\t=\frac{200}{64} \\\\t = 3.125 seconds\)

It takes 3.125 seconds for the golf ball to hit the ground

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Answer:

1^3 - 2(1)^-2 =

1 - 2 =

-1

Step-by-step explanation:

f(1) is equal to f(x) when x = 1

Pairs of samples in which the selection of people or objects into one sample directly affects or is affected by the selection of people or objects into the other sample are referred to as dependent samples. The correct option is B) dependent samples.

Dependent samples are those where the selection of people or objects in one sample is related to the selection in another sample. For example, a study comparing pre- and post-intervention results of the same group of individuals would have dependent samples.

In statistical analysis, dependent samples require different methods than independent samples, as the relatedness between the samples needs to be taken into account. Understanding the nature of the relationship between the samples is important for drawing accurate conclusions from the data. The correct answers is B).

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Aplicando el mínimo común múltiplo, se encuentra que el sonido de las dos campanas volverá a coincidir en 180 minutos.

Para ver cuando ambas le van a suenar al mismo tiempo, se calcula el mínimum común múltiplo de los intervalos, o sea, de 60 y 45.

Factorando por factores primos:

60 - 45| 2

30 - 45|2

15 - 45|3

5 - 15|3

5 - 5|5

1 - 1

O sea, mcm(60,45) = 2x2x3x3x5 = 180

El sonido de las dos campanas volverá a coincidir en 180 minutos.

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Answer:

\( \huge\blue{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}\)

➳ 0.

➳ 18 over 23.

Answer:

0 is the correct answer if you won't understand than contact me

Answer:

$77,000

Step-by-step explanation:

2 weeks = 14 days

5,500 x 14 = 77,000

Let me know if this helps T-T

Answer:

5115

Step-by-step explanation: 5500 X 7%= 385

5500-385=5115

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

8y+2zand^3x+3z+4

Step-by-step explanation:

Step-by-step explanation:

Given that,

The positions of the first particle,\(s_1=4t-t^2\)

Velocity,

\(v_1=\dfrac{ds_1}{dt}\\\\v_1=\dfrac{d(4t-t^2)}{dt}\\\\v_1=4-2t\)

Position,

\(s_2=5t^2-t^3\)

\(v_2=\dfrac{ds_2}{dt}\\\\v_2=\dfrac{d(5t^2-t^3)}{dt}\\\\v_2=10t-3t^2\)

Hence, this is the required solution.

Answer:

it's c

Step-by-step explanation:

c is the answer becuse its showing u that ob is perpenlicular to Ac

What's the question?

Answer:

Yes Good job.. and good luck

The rate at which water is being pumped into the tank is approximately 285.92 cubic units per minute. This calculation was based on the given information about the tank's dimensions, the rate at which the water level is rising, and the concept of conservation of volume. By equating the rate at which water is being pumped in with the rate at which water is leaking out, we could determine the unknown rate of water input.

Let's denote the rate at which the tank is being filled as dV/dt (in cubic units per minute) and the volume of water in the tank as V (in cubic units).

According to the principle of conservation of volume, the rate at which water is being pumped into the tank is equal to the rate at which water is leaking out of the tank.

Rate in - Rate out = dV/dt

The rate at which water is leaking from an inverted conical tank can be calculated using the formula for the volume of a cone:

V = (1/3)πr^2h

where r is the radius of the water surface and h is the height of the water.

Given:

Height of the tank (h) = 8 units

Diameter at the top (2r) = 4 units

Since the diameter at the top is 4 units, the radius (r) is half of that, which is 2 units.

Using similar triangles, we can determine the radius of the water surface (r') at a given height (h'):

(r')/(h') = r/h

We are given that the water level is rising at a rate of dh/dt = 11 units per minute when the height of the water is h = 6 units. We can use this information to find the rate at which the radius is changing, dr/dt:

dr/dt = (r/h)(dh/dt)

      = (2/8)(11)

      = 2.75 units per minute

Now, let's find the volume of the tank when the height of the water is h = 6 units:

V = (1/3)πr^2h

  = (1/3)π(2^2)(6)

  = 8π cubic units

Differentiating both sides of the volume equation with respect to time (t), we get:

dV/dt = (dV/dh)(dh/dt)

      = (8π)(11)

      = 88π cubic units per minute

Finally, substituting the value of dV/dt into the equation Rate in - Rate out = dV/dt, we can determine the rate at which water is being pumped into the tank:

Rate in - Rate out = dV/dt

Rate in - (V'π) = 88π

Rate in = 88π + V'π

Rate in = (88 + V')π

Rate in = (88 + 2.75)π

Rate in ≈ 90.75π cubic units per minute

Rate in ≈ 285.92 cubic units per minute (approximating π ≈ 3.1416)

Therefore, the rate at which water is being pumped into the tank is approximately 285.92 cubic units per minute

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Answer:

t=5

Step-by-step explanation:

Hello There!

the given angles are vertical angles therefore they are congruent

so 110=4t+90

step 1 subtract 90 from each side

110-90=20

now we have

20=4t

step 2 divide each side by 2

20/4=5

so were left with

t=5

Using simple interest, considering the information given, it is found that the correct option is:

She would have paid interest charges of $200.

The amount of interest accrued in simple interest is given by:

\(E = Pit\)

In which:

For this problem:

The amount she will pay is:

\(E = Pit = 1000(0.1999) = 199.9\)

Rounding up, $200, and the correct option is:

She would have paid interest charges of $200.

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Considering triangle HRC, the equations that can be used to solve for the value of w are

The triangle HRC is a right triangle and can be solved by various methods such as: Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

m² = s² + w²

(√125)² = 9² + w²

Applying SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

solving for w using cos, CAH

cos y = w / m

cos y = w / √125

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The solutions of the equation x² + 6x - 5 = 0 are m = -7 and n = 4.

An equation is an expression that states the equality of two mathematical quantities. It usually involves a set of mathematical symbols, such as an equal sign, numbers, and operators, which represent the relationship between the two sides of the equation. Equations are used to solve a variety of mathematical problems, ranging from simple equations to complex systems of equations.

We can solve this equation by using the Quadratic Formula.
The Quadratic Formula states that x = (-b ± √(b² - 4ac))/(2a).
In this equation, a = 1, b = 6, and c = -5.
Therefore, x = (-6 ± √(6² - 4(1)(-5))/(2(1))
x = (-6 ± √36 + 20)/2
x = (-6 ± √56)/2
x = (-6 ± √7(8))/2
x = (-6 ± 8)/2
x = (m = -14/2) + (n = 8/2)
Therefore, the solutions of the equation x² + 6x - 5 = 0 are m = -7 and n = 4.

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By following these steps, you should be able to find the number of counties in Texas with childcare programs offering nighttime care for children.

To answer your question about how many of the 254 counties in Texas have child care programs that state they provide nighttime care for children, we would need to access current data on child care programs in Texas. Unfortunately, I do not have that specific data at the moment. However, I can guide you on how to find this information.
Begin by visiting the Texas Health and Human Services website (https://hhs.texas.gov) as they are responsible for overseeing child care licensing in the state. Look for information on licensed child care facilities that provide nighttime care.
Utilize websites such as Child Care Aware (https://www.childcareaware.org) or Child Care Finder (https://childcarefinder.com), where you can search for child care programs in Texas by county, and filter your search to include only programs offering nighttime care.
You may also want to check with local county websites or contact the County Clerk's office for information on child care programs within their jurisdiction, specifically those offering nighttime care.
Compile the data gathered from the above sources to determine how many of the 254 Texas counties have child care programs providing nighttime care for children.
By following these steps, you should be able to find the number of counties in Texas with child care programs offering nighttime care for children.

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The 8-puzzle problem can be categorized as a "Pathfinding problem."

The 8-puzzle is a classic problem in artificial intelligence and computer science. It involves a 3x3 grid with eight numbered tiles and one empty space. The objective is to rearrange the tiles from an initial configuration to a goal configuration by sliding them into the empty space.

The reason why the 8-puzzle problem is classified as a pathfinding problem is that it involves finding a sequence of moves or actions to reach a desired state or goal. In this case, the desired state is the goal configuration of the puzzle. The problem requires determining the optimal sequence of moves that lead to the goal state while considering the constraints and limitations of the puzzle.

Pathfinding problems involve finding the shortest or optimal path from a starting point to a goal or destination. In the 8-puzzle problem, the empty space serves as the movable "agent" that can slide adjacent tiles. The objective is to find the shortest sequence of moves or actions to transform the initial configuration into the goal configuration, effectively finding a path to the solution.

Therefore, due to its nature of finding an optimal sequence of moves to reach a goal state, the 8-puzzle problem can be categorized as a pathfinding problem.

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Answer:

$6000

Step-by-step explanation:

Given the following :

Total planned amount to invest = 10,000 in two funds:

Fund A at rates 4.5% and

Fund B at 5% simple interest

Total Annual Interest should be = 480

What is the smallest amount you can invest in the 5% fund and still meet your objective?

Let ;

Investment in fund A = principal = a at 4.5%(0.045)

Investment in fund B = principal = (10000 - a) at 5%(0.05)

Simple interest = principal * rate * time

a + (10000 - a) = 10000

(a * 0.045) + (10000 - a) * 0.05 = 480

0.045a + 500 - 0.05a = 480

-0.005a = 480 - 500

-0.005a = - 20

a = 20 / 0.005

a = 4000

4000 at 4.5%

Investment in fund B = principal = (10000 - a)

(10,000 - 4000) = 6000

The probability of winning $3,899 is 0.0001, which is a very small probability, but still possible.

To write the probability distribution for a player's winnings in the Pick 4 game, we need to consider all the possible outcomes and their probabilities.

There are a total of 10,000 possible four-digit numbers that can be drawn in the game. Since the player has to match the numbers in the exact order, there is only one winning combination for each four-digit number. Therefore, the probability of winning is 1/10,000.

To calculate the player's winnings, we need to subtract the $1 cost of playing from the $3,900 prize. Thus, the player's net winnings can be calculated as follows:

Net Winnings = $3,900 - $1 = $3,899

The probability distribution for the player's winnings can be summarized in the following table:

| Winnings (x) | Probability (P) |
|--------------|-----------------|
| $0           | 0.9999          |
| $3,899       | 0.0001          |

Note that the table shows the possible winnings (x) in ascending order, as requested. The probability of winning $0 is 0.9999, which means that the player is most likely to lose their $1 bet.

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Answer:

$300

Step-by-step explanation:

I did have an explanation here but someone *cough* *cough* laurenercsp6fpli  deleted all my answers for no reason. But I did the math and I assure you that the answer is $300.