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The probability of drawing a jack, given that we are told it is a face card, is 1/3 or approximately 0.33.There are 12 face cards in a well-shuffled euchre deck, comprising of 4 jacks, 4 queens, and 4 kings. The probability of drawing a face card from the deck is 12/32, or 3/8.

Now, we are asked to find the probability of drawing a jack, given that we already know the card is a face card. This can be calculated using conditional probability, which is the probability of an event occurring given that another event has already occurred.

The probability of drawing a jack given that the card is a face card can be represented as P(Jack | Face card). Using Bayes' theorem, we can calculate this probability as follows:

P(Jack | Face card) = P(Face card | Jack) * P(Jack) / P(Face card)

Here, P(Face card | Jack) represents the probability of drawing a face card given that the card is a jack, which is 1. P(Jack) represents the probability of drawing a jack from the deck, which is 4/32 or 1/8.

We already know that P(Face card) is 3/8.Substituting these values into the formula, we get:

P(Jack | Face card) = (1 * 1/8) / (3/8) = 1/3.

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Answer:

GCF, Greatest Common Factor

Step-by-step explanation:

Hope this helped

Answer:

Slope: -2

Step-by-step explanation:

(This answer is if you meant to write 6y = 3x - 9)

First, change the standard equation form into a linear equation form, y=mx+b. To do this, divide both sides by 6 to get:

\(y=\frac{3}{6} x-\frac{9}{6}\)

This can then simplify to:

\(y=\frac{1}{2} x-\frac{3}{2}\)

In order to find the equation of a perpendicular line, you need to find the opposite reciprocal of the current slope:

\(y=-2x-\frac{3}{2}\)

The slope is m, meaning that the slope of the perpendicular equation is -2.

Hope this helps!

Answer:

nmn

Step-by-step explanation:

the statements that apply to each type of quadrilateral are as follows:

Parallelogram: - 2 pairs of opposite parallel sides

- Diagonals bisect each other

Rectangle: - 2 pairs of opposite congruent sides

- Diagonals are congruent

- Diagonals bisect each other

Rhombus: - 2 pairs of opposite congruent sides

- Diagonals bisect each other

- Diagonals are perpendicular

Square: - 2 pairs of opposite parallel sides

- 2 pairs of opposite congruent sides

- Diagonals bisect each other

- Diagonals are congruent

- Diagonals are perpendicular

For the different types of quadrilaterals, here are the statements that apply:

Parallelogram:

- 2 pairs of opposite parallel sides

- Diagonals bisect each other

Rectangle:

- 2 pairs of opposite congruent sides

- Diagonals are congruent

- Diagonals bisect each other

Rhombus:

- 2 pairs of opposite congruent sides

- Diagonals bisect each other

- Diagonals are perpendicular

Square:

- 2 pairs of opposite parallel sides

- 2 pairs of opposite congruent sides

- Diagonals bisect each other

- Diagonals are congruent

- Diagonals are perpendicular

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Answer:

its d cuz im a big brain :)

Answer:

it's D

Step-by-step explanation:

because the answer is n-1. but i am sure 100%

The length of the required chord is approximately equal to 11.8 units.

In Mathematics and Geometry, the chord of a circle refers to a line segment that typically join any two (2) points on a circle.

Based on the equation of the circle, the radius can be determined as follows;

x² + y² = 36

Radius, r = √36

Radius, r = 6 units.

By applying Pythagorean's theorem, side OA can be calculated as follows;

6² - 1² = OA²

OA² = 36 - 1

OA = √35

OA = 5.9

Length of chord = 2 × OA

Length of chord = 2 × 5.9

Length of chord = 11.8 units.

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Answer:

6⁷

because 6 is being multiplied 7 times

hope this helps

Answer:

x = 1

Step-by-step explanation:

Step 1: Define

h(x) = 3x + 1

h(x) = 4

Step 2: Substitute and Evaluate

4 = 3x + 1

3 = 3x

x = 1

In Wagnerian music drama, a basic recurring theme representing a person, object, event, or emotion is known as Leitmotif.

What is serious opera called?

What is Wagnerian leitmotif?

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In contrast to mass media, interactive media messages converge, which means that they can be sent one to one, one to many, or many to many. The statement is true. Interactive media refers to media that allows active participation from the user, rather than one-way communication.

Interactive media messages converge, which means that they can be sent one to one, one to many, or many to many. This refers to the flexibility that is available for interactive media messages compared to mass media.In the case of interactive media, feedback is not only encouraged but also acknowledged and included in the ongoing communication process. In addition, as opposed to mass media, interactive media allows for one-on-one conversations between participants as well as between a sender and many recipients. The sender is not the only one conveying the message. The recipients can also send messages back, resulting in a more interactive experience.

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Answer:

x=6 y=3

Step-by-step explanation:

x=y+3 replace that in the other problem x+3=3y becomes y+3+3= 3y. solve and get y=3. replace in x=y+3 to get x=6

Answer:

the answer is 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Convert the mixed numbers into improper fractions.

6 11/12 = 72/12 + 11/12 = 83/12

2 4/16 = 2¼ = 8/4 + 1/4 = 9/4

3⅔  = 9/3 + ⅔ = 11/3

Fractions need a common denominator to be added or subtracted.

Step-by-step explanation:

7+8+10=25cm is the possibile perimeter of this

triangle.

Answer:it will be 20 inches long at the end of 5 weeks

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

i got it wrong and it showed me the real answer

Answer:

5/8 * 100 = 62.5 %

Answer:

" Expected Payoff " ⇒ $ 1.56 ; Type in 1.56

Step-by-step explanation:

Consider the steps below;

\(Tickets That Can Be Entered - 1 Ticket,\\Total Tickets Entered - 1000 Tickets,\\\\Proportion - 1 / 1000,\\Money One ( First Ticket ) = 820 Dollars,\\Money One ( Second Ticket ) = 740 Dollars,\\\\Proportionality ( First ) - 1 / 1000 = x / 820,\\Proportionality ( Second ) - 1 / 1000 = x / 740\\\\1 / 1000 = x / 820,\\1000 * x = 820,\\x = 820 / 1000,\\x = 0.82,\\\\1 / 1000 = x / 740,\\1000 * x = 740,\\x = 740 / 1000,\\x = 0.74\\\\Conclusion ; " Expected Payoff " = 0.82 + 0.74 = 1.56\)

Solution; " Expected Payoff " ⇒ $ 1.56

Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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Students raised $225 in the first week and $90 in the second week.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a student club has a goal to raise $750 to buy new books for a library.

In the first week, the club raised 30% of its goal.

Now, 30% of 750

= 30/100 ×750

= 3×75

= $225

In the second week, the club raised 12% of its goal.

Now, 12% of 750

= 12/100 ×750

= 0.12×750

= $90

Hence, students raised $225 in the first week and $90 in the second week.

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Answer:

D)DE=24 YD.;EF=10yd

Step-by-step explanation:

AB=12 FT SO YOU DO 12*2 AND YOU GET 24 ON DE

CB=5 FT SO YOU DO 5*2 AND YOU GET 10

I JUST HAD THE QUIZ I GOT IT RIGHT I JUST DIDNT EXAPLIN HOW I GOT IT IN A RIGHT WAY BAD WORDING.

The situation described involves permutations because the order of the 20 people in line matters when lining up for concert tickets.

In this situation, the order in which the 20 people line up for concert tickets is important. Each person will have a specific place in the line, and their position relative to others will determine their spot in the queue. Therefore, the situation involves permutations.

Permutations deal with the arrangement of objects in a specific order. In this case, the 20 people can be arranged in 20! (20 factorial) ways because each person has a distinct position in the line.

If the order of the people in line did not matter and they were simply being selected without considering their order, it would involve combinations. However, since the order is significant in determining their position in the line, permutations is the appropriate concept for this situation.

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The domain of the function is all real numbers and  range is  y ≥ -1.

Since the vertex is at (1,-1), the axis of symmetry is x = 1.

This means that the domain of the function is all real numbers.

To find the range, we need to consider the y-values of the graph. Since the vertex is the lowest point of the graph, the range must be all y-values greater than or equal to -1.

However, since the parabola opens upwards, there is no upper bound on the y-values.

Therefore, the range is given by y ≥ -1.

Hence, the domain of the function is all real numbers and  range is  y ≥ -1.

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Answer:

7 and 11

Step-by-step explanation:

Suppose the numbers are x and y.

So it is given that

x + y = 18

x - y = 4

If we add the equations, we get

2x = 22

So x is 11 and y will be 7

The probability that she chose:

(a) Eight banana and 6 coconut cupcakes is; 0.00563

(b) At least 2 chocolate cupcakes is; 0.99997522

(c) All cupcakes of the same kind is; 0.0000000027045

We are told cupcakes at the stand are;

Chocolate = 40

Coconut = 30

Banana = 20

Total number of chocolates = 40 + 30 + 20

Total number of chocolates = 90

a) Probability that she will choose 8 banana and 6 chocolate cakes if she chooses 20 cupcakes at random will be;

(20C₈ × 30C₆ × 40C₆)/90C₂₀

(125970 × 593775 × 3838380)/50980740277700939310

This gives us 0.00563

b) Probability of at least 2 chocolate cupcakes is;

1 - [P(no chocolate) + P(1 chocolate)]

P(no chocolate) = (50C₂₀)/90C₂₀

P(1 chocolate) = (40C₁ × 50C₁₉)/90C₂₀

Thus;

1 - [P(no chocolate) + P(1 chocolate)] = 1 - [(40C₁ × 50C₁₉) + 50C₂₀]/90C₂₀

This gives us; 0.99997522

c) Probability of getting all cupcakes of same kind is;

(40C₂₀ + 20C₂₀ + 30C₂₀)/90C₂₀

⇒ 0.0000000027045

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Complete question is;

A cupcake stand has 40 chocolate, 30 coconut and 20 banana cupcakes. Alice chooses 20 cupcakes at random to create a box as a present for her friend.

What is the probability that she chose:

(a) Eight banana and 6 coconut cupcakes?

(b) At least 2 chocolate cupcakes?

(c) All cupcakes of the same kind?

The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.

To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.

Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.

Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.

Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.

Therefore, the correct answer is option c. π/4.

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Answer:

As I answered in the other one the answer is 1/3

Step-by-step explanation: