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independent event-the occurrence of one event does not affect the probability of the occurrence of another event

compound event-two or more events considered

dependent event-the occurrence of one event affects the probability of the occurrence of another event

a) Compound Event refers to the combination of two or more events considered.

b) Independent Event occurs when one event does not affect the probability of the occurrence of another event.

c) Dependent Event describes a situation where the occurrence of one event affects the probability of the occurrence of another event

a) Compound Event: This refers to the combination of two or more events considered together. It involves analyzing the probability of multiple events occurring in a specific situation or experiment. For example, when rolling a pair of dice, the compound event might be the probability of getting a sum greater than 9.

b) Independent Event: This occurs when the outcome or occurrence of one event has no impact on the probability of the outcome or occurrence of another event. In other words, the events are unrelated and do not influence each other. For example, flipping a coin and rolling a die are independent events since the outcome of the coin flip does not affect the outcome of the die roll.

c) Dependent Event: This describes a situation where the occurrence of one event does affect the probability of the occurrence of another event. In dependent events, the outcome or happening of the first event has an impact on the likelihood of the second event. For instance, drawing cards from a deck without replacement is a dependent event since the probability of drawing a certain card changes after each card is drawn.

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Answer:

mean = (4 + 7 + 10 ) / 3

         = 21 / 3

         = 7

Step-by-step explanation:

Answer:

Average of 4,7 and 10:

Add all together 4+7+10=21

Then 21 divided by number of scores so 3.

21 divided by 3=7

So the mean is 7

Answer:

12.86 sq ft

Step-by-step explanation:

Find area of square and subtract out area of semi-circle; the diameter of the semi-circle equals the side of the square, which is 4 so radius is 2

A(square) = 4 x 4 = 16

A(semi-circle) = πr²/2

= 4π/2 or 2π

Area of Shaded Region = 16-3.14 which is 12.86

Answer:

Family a got 120kg, b got 240 kg and c got 120 kg

Step-by-step explanation:

Given that 480kg of rice is shared by families a, b, c. let these alphabets represent the amount received by each family.

a + b + c = 480

Given that B receives twice as much as a, c receives half of b then,

b = 2a and

c = 1/2 b = b/2

from b = 2a,

a = b/2

substituting into the first equation

b/2 + b + b/2 = 480

b + b = 480

2b = 480

b = 480/2

= 240 kg

a = c = b/2

hence a = c = 240/2 = 120kg

Answer: 12

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

Volume for a rectangular prism is V=lwh. so you do 11*3*4. 11 is the length, 3 is the width and 4 is the height

Answer:

uhh, look it up

Step-by-step explanation:

Answer:

math.way

Step-by-step explanation:

Answer:

Step-by-step explanation:

y^2=49

y=[tex]\sqrt{49}[/tex]

y=7

Answer:

30 sq cm

Step-by-step explanation:

The area of a parallelogram is the base times the height. We can see that the base is 10 cm, and 3 cm would be the height because it is perpendicular to the base. We get the equation:

Area = 10 cm x 3 cm

Area = 30 sq cm

Answer:

The answer would be Equation B:

x2 - 8x + 41

Step-by-step explanation:

Answer:

243cm squared

Step-by-step explanation:

Answer:

4h + 100

Step-by-step explanation:

h = total number of hats

postcards = 2h

magnets = h + 100

Add them all together:

h + 2h + h + 100 = 4h +100

Answer:

radius

Step-by-step explanation:

Answer:

Radius

Step-by-step explanation:

Center of the circle to a point on a circle would be the radius, seeing how as diameter is one edge of the circle to the other edge,of the circle, crossing the middle of the circle

Answer: 2/3, 1/2, 5/8,7/11

Step-by-step explanation: usually the smaller your denominator is the larger your fraction. You also have to look at the numerator and somewhat visualize what it would look like. Such as 2/3 is larger than 1/2 because 1/2 of 3 is 1.5 so since 2 is larger than 1.5 you can say 2/3 is larger

Hope this helps

Answer:

2/3, 7/11, 5/8, 1/2

Step-by-step explanation:

You make them so that they have all the same denominator and it is self explanatory from there :)

Answer:

The ship is approximately 100 km to the Port.

Step-by-step explanation:

The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] -2ab Cos C

a = 50 km

b = 60 km

C = 51 + 80 = [tex]131^{o}[/tex]

So that;

[tex]c^{2}[/tex] = [tex]50^{2}[/tex] + [tex]60^{2}[/tex] -2(50 x 60) Cos [tex]131^{o}[/tex]

   = 2500 + 3600 -6000 x -0.6561

   =  6100 + 3936.6

[tex]c^{2}[/tex] = 10036.6

c = [tex]\sqrt{10036.6}[/tex]

  = 100.183

c = 100.18 km

Thus, the ship is approximately 100 km to the Port.

Answer:

your answer is 2/6 or 1/3 a cup.

Step-by-step explanation:

Answer:

[tex]y = 25 + x[/tex] --- Members

[tex]y = 1.05x[/tex] --- Non-members

Step-by-step explanation:

Given

[tex]x \to store\ price[/tex]

[tex]y\to total\ amount[/tex]

Members

[tex]Membership =\$25[/tex]

Non-members

[tex]Rate = 5\%[/tex] increase

For the members, the equation is:

[tex]y = Membership + Store\ price[/tex]

[tex]y = 25 + x[/tex]

For non-members, the equation is:

[tex]y = Store\ price * (1 + Rate)[/tex]

[tex]y = x * (1 + 5\%)[/tex]

[tex]y = x * (1.05)[/tex]

[tex]y = 1.05x[/tex]

Answer:

La cantidad de dinero en:

Primer bolsillo = x = 200 euros

Segundo bolsillo = 2x = 400 euros

Step-by-step explanation:

Nos dijeron:

En un bolsillo tengo una cantidad de dinero y en el otro tengo el doble.

Representemos, la cantidad de dinero en el:

Primer bolsillo = x

Segundo bolsillo = 2x

En total tengo 600.

Por eso:

x + 2x = 600

3 veces = 600

x = 600/3

x = 200

2x = 200 × 2

x = 400

Por lo tanto, la cantidad de dinero en:

Primer bolsillo = x = 200 euros

Segundo bolsillo = 2x = 400 euros

Answer:

d=7

Step-by-step explanation:

Answer:

[tex]y = {3x}^{2} - 2x + 3 \\ y = ( \frac{1}{3} + i) {}^{2} [/tex]

Hi I can help u if you want to!!!

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $7,000

Interest rate (i)= 2.5%

To calculate the future value after x years, we need to use the following formula:

FV= PV*(1 + i)^x

Now, for 9 years:

x= 9

FV= 7,000*(1.025^9)

FV=$8,742.04

Answer:

20(pi)

Step-by-step explanation:

• equation for the circumference of a circle= 2(pi)r

• You are given the diameter ( 20ft) but you need the radius (r) for the equation.

• divide 20 by 2 to get the radius since it is half of the diameter.

• 20/2=10 so c= 2(pi)(10)

• 2(10)=20

• plug in pi and your final answer is 20(pi)

Answer:

a pi = 3.14

Step-by-step explanation:

The symbol which compares the two angles is "< ".

What is an angle?

Angles around a point define the sum of angles that can be arranged together so that they construct a full arch. Angles around a point add to 360 °.

π/3 =180/3 = 60 degree

π/3 > 45 degree

45 degree <  π/3

Therefore, the correct answer is option A. <.

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Answer:

Step-by-step explanation:

x+60=140

x=140-60

x=80 degree

Answer:

I believe it is C

It's the only one that makes sense

Answer:

1368

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

p=3+8=11

Step-by-step explanation:

Answer:

p = 11

Step-by-step explanation:

add 8 to both sides of the equation, so p = 3 + 8

p = 11