What is the probability of drawing an ace, a 2, and a 3, without replacement?

Answers

Answer 1

The probability of drawing an ace will be 8 / 16575.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability will be calculated as follows:-

P = [tex]\dfrac{4}{52}\times \dfrac{4}{51}\times\dfrac{4}{50}[/tex]

P = [tex]\dfrac{8 }{ 16575}[/tex]

Therefore the probability of drawing an ace will be 8 / 16575.

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Related Questions

Which description best describes parallel lines?
OA. Lines that intersect at a right angle
B. Lines that lie in the same plane but will never intersect
C. Lines that are not in the same plane and will never intersect
OD. Lines that intersect
SUBIT ?

Answers

B. Lines that lie in the same plane but will never intersect.

Parallel lines, for example could look somewhat like two uppercase i’s: II. They will remain the same distance from one another and will never cross (intersect) no matter how far they extend.

Answer: B
Parallel lines will always be in the same plane, but they will never intersect with each other as they keep going straight and never touch.

Which is equivalent to 64 1/4

Answers

Answer:

4*64=256

256+1=256

there fore 64 1/4 is equivalent to 257/4

Find the middle term of the expansion of (√x+√y)^8. a. 40x2y2 c. 40x4y4 b. 70x2y2 d. 70x4y4

Answers

The middle term of the expansion of (√x + √y)⁸ is; B: 70 * x² * y²

How to solve binomial theorems?

We want to expand the expression;

(√x + √y)⁸

Now, according to binomial expansion, we know that;

(x + y)ⁿ = ⁿC₀ xⁿ y⁰ + ⁿC₁ xⁿ ⁻ ¹ y¹ + ⁿC₂ xⁿ ⁻ ² y² + ..... + ⁿCₙ x⁰ yⁿ.

Now, for an 8 power binomial, the coefficient of each term from formula are respectively;

1 8 28 56 70 56 28 8 1

The mid term is the fifth term and so, we have;

(⁸C₄ * (√x)⁽⁸ ⁻ ⁴⁾ * (√y)⁴)

⇒ 70 * x² * y²

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Need your help now please; the assignment is due tonight and this is the last problem I am having trouble with. The red box is the value I keep getting wrong

The region R is bounded by the x-axis, the straight line in the graph and the vertical line x=2.

Answers

The volume of the region R bounded by the x-axis is: [tex]\mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^3 dr d\theta}[/tex]

What is the volume of the solid (R) on the X-axis?

If the axis of revolution is the boundary of the plane region and the cross-sections are parallel to the line of revolution, we may use the polar coordinate approach to calculate the volume of the solid.

From the given graph:

The given straight line passes through two points (0,0) and (2,8). Thus, the equation of the straight line becomes:

[tex]\mathbf{y-y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}[/tex]

here:

(x₁, y₁) and (x₂, y₂) are two points on the straight line

Suppose we assign (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 8) from the graph, we have:

[tex]\mathbf{y-0 = \dfrac{8-0}{2-0}(x-0)}[/tex]

y = 4x

Now, our region bounded by the three lines are:

y = 0 x = 2y = 4x

Similarly, the change in polar coordinates is:

x = rcosθ, y = rsinθ

where;

x² + y² = r² and dA = rdrdθ

Therefore;

rsinθ = 0 i.e. r = 0 or θ = 0rcosθ = 2 i.e. r = 2/cosθrsinθ = 4(rcosθ) ⇒ tan θ = 4; θ = tan⁻¹ (4)

⇒ r = 0 to r = 2/cosθ θ = 0 to θ = tan⁻¹ (4)

Then:

[tex]\mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^2 (rdr d\theta )}[/tex]

[tex]\mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^3 dr d\theta}[/tex]

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Determine whether the relation represents a function. State the domain and range of the relation.
{(-2,-9).(-4,-4). (1,5), (5, -7)}

Answers

Answer:

It is a functionDomain: {-4, -2, 1, 5}Range: {-9, -7, -4, 5}

Step-by-step explanation:

A function is defined so that for each input (known as the domain), there is no more than one output (known as the range).

If the present value of an item is P
and we experience an inflation rate
of r for t years, what will the future
value of the item be?
P = $100
r = 4%
t = 15

Answers

inflation means, the same item costs more however is the same item, so if a tomato in January 1st costs $1 and by December 31st it costs $2, the price went up by twice, however is same tomato, it didn't become twice as large, anyhow, inflation eats away value and thus is a Decay case.

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &100\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=\textit{elapsed time}\dotfill &15\\ \end{cases} \\\\\\ A=100(1 - 0.04)^{15}\implies A=100(0.96)^{15}\implies A\approx 54.21[/tex]

now, we can look at this value reduction as value that was eaten away from the original.

we can also see the inflationary effect as the new value of the tomato in money terms, that means the tomato went up in price, exponentially by 4% per year, so we can see that as a Growth case in terms of money spent on it.

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &100\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=\textit{elapsed time}\dotfill &15\\ \end{cases} \\\\\\ A = 100(1 + 0.04)^{15} \implies A \approx 180.09[/tex]

now, this is how much the tomato will be priced in money terms in 15 years.

what are the missing values

Answers

Answer:

The answer is on the image, which is color coordinated with the how i got it

Write a doubles fact that can help you find the
sum. Write the sum.
3+4

Answers

Step-by-step explanation:

4 + 4 = 8 is one of the two closest double to 3 + 4

W.K.T(we know that )..

4 is 1 more than 3 this means ;

4 + 4 will be 1 more than 3 + 4

4 + 4 = 8 ,so finding 1 Less ;

3 + 4 = 7

here is the answer hope It helped U

please mark as BRAINLIEST

Peter and Henry went to the movies Peter bought the two Movie tickets for 7 dollars each. How much did he spend for the movie tickets Henry bought two buckets of popcorn for 5 dollars each. How much did Henry spend on popcorn. What was the total expenditure

Answers

Answer:

tickets: $14

popcorn: $10

total: $24

Step-by-step explanation:

2 movie tickets at $7 each is 2*7 which is $14

2 buckets of popcorn at $5 each is 2*5 which is $10

adding these together we get a total spending of $24

Find the surface area of the regular pyramid.

Answers

The surface area of the regular pyramid as given in the task content is; 16m².

What is the surface are of the regular pyramid?

The task content requires that the surface area of the pyramid be determined. This surface area can therefore be evaluated as follows;

Surface area = (2×2) + 4((1/2)×2×3) = 4 + 12 = 16m².

The surface area of the regular pyramid is therefore; 16m².

Answers

The sentence that correctly compares the two numbers is 5385 > 5.395

What is the correct sentence?

Here are inequality signs and what they mean:
Note that

> means greater than< means less than≥ means greater than or equal to ≤ less than or equal to

5385 is greater than 5.385. Thus, the correct statement is 5385 > 5.395.

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find the perimeter of a triangular field whose length of edges are 14 m, 12m 10 m Also find the length of required to fence 4 times around it?

Answers

Answer: 36 m, 144 m

Step-by-Step Explanation:

a = 14 m

b = 12 m

c = 10 m

Perimeter = a + b + c

Therefore,

= a + b + c

= 14 + 12 + 10

= 26 + 10

=> 36

Perimeter = 36 m

Length of Fence required for Fencing 4 times = Perimeter * 4

Therefore,

= Perimeter * 4

= 36 * 4

= 144

Length of Fence required for Fencing 4 times = 144 m

If the area of a certain square is 81 square inches or less, which set
describes the domain of the function?
F(s)=s^2

(0,81]
[0, 9]
(0,91
[0,81)

Answers

Answer:

(0, 9]

Step-by-step explanation:

√81 = 9

We must take positive numbers into consideration here.

The graph of y= (x + 2)(x-2)(x + 1) is shown.
4
3
2-
D
-6-5-4-3-2-1₁
23 456x
D
76
B
C
Which point is a relative minimum?
OA
OD

Answers

Answer:

Point C

Step-by-step explanation:

At point C, the graph is changing from decreasing to increasing.

Based on probability and if it is appropriate for a decision to be left up to chance, choose every situation that is both statistically fair and morally fair.
Situation #1 A high school student is deciding whether to first clean his room or do his homework. He decides by picking a tile at random from a bag of lettered tiles. If he picks a consonant he will clean his room, and if he picks a vowel he will do his homework.
Situation #2 There are four candidates eligible for a vacancy at a company. Ignoring qualifications and experience, the recruitment manager decides which candidate to hire by writing their names on pieces of paper, shuffling the papers, and drawing one at random.
Situation #3 Five cousins are deciding which board game to play. They each write their preferred game on a different section of a spinner that has five equally-sized sections. They spin the spinner and will play the game written on the section where the spinner lands.
Situation #4 To determine who can choose the spot for a picnic, Kate picks a tile at random from a collection of five tiles, numbered 2 through 6. Kate chooses the spot if she picks a prime number, and Charles chooses if Kate picks a composite number.
Situation #5 Five roommates all want to attend an event, but they only have four invites. To decide who will attend, they shuffle a set of five cards consisting of four aces and a king. Each roommate is randomly dealt a card. The ones dealt an ace will attend the event.
Reset Next

Answers

The situations that are both statistically fair and morally fair are Situation 2, Situation 3 and Situation 5

How to categorize the situations?

For a situation to be fair, the probability of every outcome must be equal.

We can now analyze each option using the above highlight

Situation 1

Alphabets = 26Probability of vowel = 5/26Probability of consonant = 21/26

The probabilities of vowels and consonant are not equal.

Hence, this situation is not fair

Situation 2

People = 4

P(Each) = 1/4

The probability of each participant is equal in the above scenario i.e. 1/4

Hence, this situation is fair

Situation 3

People = 5P(Each) = 1/5

The probability of each cousin is equal in the above scenario i.e. 1/5

Hence, this situation is fair

Situation 4

Numbers = 5 i.e. 2 to 6P(Prime) = 3/5P(Composite) = 4/6

The probabilities of prime and composite numbers are not equal.

Hence, this situation is not fair

Situation 5

Roommates = 5Cards = 5Aces = 4P(Each) = 1/5

All probabilities are equal in the above scenario i.e. 1/5

Hence, this situation is fair

Answers

The solution to this system of inequalities x + y>4 , x + y <3 is Option A

The complete question is

Which graph shows the solution to this system of inequalities? x + y>4 x + y <3

The image are attached with the answer.

What are Inequality ?

When an expression is equated with another expression by an Inequality operator (< , > < etc) then the mathematical statement formed is called Inequality.

The inequalities are

x+y>4

x + y <3

After plotting both the inequalities in the graph the following graph that is attached with the answer is obtained.

Therefore the correct answer is Option A

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Otto used 5.5 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y?

Answers

The equation that can be used to represent the situation is y = 5.5 + x

How to write and solve equation?

Whole wheat flour = 5.5 cupsWhite flour = x cupsTotal flour = y

The equation:

Total flour = Whole wheat flour + White flour

y = 5.5 + x

Therefore, the equation that can be used to represent the situation is y = 5.5 + x

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Answer:

Step-by-step explanation:

factoring / gcf ??? (in picture)

got really sick and missed a bunch of school, would really appreciate the help !

Answers

Step-by-step explanation:

hope this will help you....

Credit cards and charge cards differ in two important ways. One is the method of payment. What is the other difference? A. You earn interest when you use a credit card but not a charge card. B. You have to pay interest on credit cards but not on charge cards. C. You have to pay interest on charge cards but not on credit cards. D. You earn interest when you use a charge card but not a credit card. Reset Next

Answers

The difference is "You have to pay interest on credit cards but not on charge cards" , Option B

What are Credit Cards ?

The cards is a financial tool generally issued by banks which let you to borrow money for expenses and make payments afterward in installments.

Credit cards and charge cards differ in two important ways. One is the method of payment

The other difference is

You have to pay interest on credit cards but not on charge cards, as in credit card the person gets lot of time for the payment and the payment can be made in installments and so for this facility extra charge in terms of interest.

Therefore Option b is the correct answer.

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Please show work and thank you

Answers

Answer: [tex]\sqrt{109} \text{ m }[/tex]

Step-by-step explanation:

If we let the length of the ladder be [tex]x[/tex], as shown in the diagram, this means that by the Pythagorean theorem, [tex]x=\sqrt{10^{2}+3^{2}}=\boxed{\sqrt{109}}[/tex] m.

Which graph represents the function f(x) = |x + 3|?

On a coordinate plane, an absolute value graph has a vertex at (0, 3).
On a coordinate plane, an absolute value graph has a vertex at (negative 3, 0).
On a coordinate plane, an absolute value graph has a vertex at (0, negative 3).
On a coordinate plane, an absolute value graph has a vertex at (3, 0).

Answers

Answer:

Graph of Modulus

The graph of a modulus or absolute value function is in a form of a 'V' shape whose vertex depends upon the coordinates. The equation for the graph is given as,

where,

(a, b) are the coordinates of the vertex of 'v' in the form of (x, y),

And h shows how wider or lean will be the function, for h=0, it is a straight line, while for a negative value the graph will face downwards and opposite for a positive value.

Given to us

y = |x-3|

On the coordinate plane

The graph will be in the shape of a 'V' whose vertex will lay at the coordinates (3, 0). As the value of a is 1 the graph will face upwards. As shown below on the graph.

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Step-by-step explanation:

Answer:

Step-by-step explanation:

edge 23

Joe went shopping and purchased a pair of pants for $56 and a pair of shoes for $45. The tax in Joe's city is 4%. How much will Joe pay when he checks out ?

Answers

Answer:

$105.04

Step-by-step explanation:

First add $56 plus 45$ and you will get $101, then times $101 and 1.04 together.

Your answer should be $105.04.

Given f(x) = x² + 4x - 3, find f(-3)
O -3
O -6
O 0
O 18

Answers

Answer:

f(-3) = -6

Step-by-step explanation:

f(x) = x^2 + 4x - 3

f(-3) means to put -3 in place of x and then do the calculation.

f(-3)

= (-3)^2 + 4(-3) - 3

= 9 - 12 - 3

= -3 - 3

= -6

First square -3, its 9. Then multiply -3 and 4, that's -12. Then add everything.

f(-3) = -6

Abby takes a 75-centimeter by 40-centimeter rectangle of fabric and cuts from one corner of
the piece of fabric to the diagonally opposite corner. Now Abby has two equally sized triangles of fabric. What is the perimeter of each triangle centimeters

Answers

answer: 195cm

the photo should explain

y-intercept: 4
-: x-intercepts: -2, 5, 7
-: Relative maximum at (0,4)
-: Relative maximum at (6, -3)
-: As → −∞, → −∞
-: As → ∞, →

Answers

The attached figure represents the sketch of the graph

The missing part of the question

The complete question requires that we sketch the graph that follows the given parameters

How to sketch the graph?

The given parameters are:

y-intercept: 4x-intercepts: -2, 5, 7Relative maximum at (0,4)Relative maximum at (6, -3)As x → −∞, y → −∞As x → ∞, y → ∞

To start with, we plot the points on an empty coordinate plane.

Next, we connect the points using a rough curve

Lastly, the points are labelled

See attachment for the sketch of the graph

Answers

Answer:

D*1.2 (OR) 1.2D

Step-by-step explanation:

Because the new menu has one hundred percent of the original menu (D), plus twenty percent, the new menu is 120%, or 1.2

You can then multiply the number of items on the original menu (D), by the new menu's value, which is 1.2 (or 120%).

This brings you to the answer of 1.2D

What key features do the functions f(x) = 4-x and g of x equals negative one times the square root of the x minus 4 end root have in common?

A.)Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.

B.)Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).

C.) Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.

D.) Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions are negative for the entire domain.

Answers

The key features are (1) both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.

How to determine the key features

The functions are given as:

f(x) = 4 - x

[tex]g(x) = -\sqrt{x - 4}[/tex]

Using a graphing calculator:

The domain of g(x) is [4,∞)The range of g(x) is (-∞,0]The domain of f(x) is (-∞,∞) The range of f(x) is (-∞,∞) Both functions have positive values for their domains

By comparing the above highlights, the true statement between functions g(x) and f(x) is option (1)

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Answer:

B.)Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).

Step-by-step explanation:

b is correct

Karen runs for 45 minutes every day. Which unit best describes the distance Karen runs for each day?
A. 50 kilometers
B. 5 kilometers
C. 50 meters
D. 50 centimeters
! URGENT !

Answers

Answer:

your mom fat as he'll that way you are adopted

Express 5 1/2 and 2 1/2 as a ratio of whole numbers

Answers

Answer:

your answers are 5.5 and 2.5 as they both have a half extra

Cynthia beach wants to buy a rug for a room that is 22 ft wide and 31 ft long.she wants to leave a uniform strip of floor around the rug.she can afford to buy 580 square feet of carpeting.what dimensions should the rug have?

Answers

The dimensions the rug should have is 20 by 29

How to determine the dimension?

The dimension of the rug is given as:

22 ft by 31 ft

The area of the carpet is given as:

Area = 580

Represent the length of the empty space with x.

So, the dimension of the carpet is:

22 - 2x by 31 - 2x

The area is calculated as:

Area = (22 - 2x) * (31 - 2x)

Expand

Area = 682 - 62x - 44x + 4x^2

Evaluate the difference

Area = 682 -106x + 4x^2

Substitute Area = 580

682 -106x + 4x^2 = 580

Subtract 580 from both sides

102 -106x + 4x^2 = 0

Rewrite as:

4x^2 - 106x +102 = 0

Using a graphing calculator, we have:

x = 1 and x = 22.5

Substitute these values in 22 - 2x by 31 - 2x

So, we have:

Length = 22 - 2(1) = 20 or Length = 22 - 2(22.5) = -23

Width = 31 - 2(1) = 29 or Length = 31 - 2(22.5) = -14

The dimensions cannot be negative.

So, we have:

Length = 20 and Width = 29

Hence, the dimensions the rug should have is 20 by 29