An experiment consists of dealing 7 cards from a standard​ 52-card deck. What is the probability of being dealt exactly 4 face cards​?

Answers

Answer 1

Answer:

The probability that the first card is a heart is 13/52

For the second card it is 12/51 (There are only 51 cards and only 12 of them are in the heart suit.)

For the third card it is 11/50

4th card 10/49

5th card 9/48

6th card 8/47

7th card 7/46

 

The total probability of all of these events occurring is the product of each individual probability.

 

So, the answer is (13 * 12 * 11 * 10 * 9 * 8 * 7) / (52 * 51 * 50 * 49 * 48 * 47 * 46)

 

which equals exactly 33 / 2,572,780 or roughly 1 chance in about 77,963

Step-by-step explanation:


Related Questions

Formen equipos de tres integrantes y realicen un proyecto en el que expresen mediante una ecuación lineal el tiempo que demoraran en reunir 10000 pesos para fundar la Sociedad Cultural Digital, si saben que los meses que tienen 31 dias sus padres donan un tercio de la cantidad total para el ahorro, mientras que en los de 30 dias logran ahorrar dos tercios de la cantidad final. En cuantos meses podrán reunir la cantidad deseada​

Answers

Los estudiantes recaudarán un total de $ 10000 pesos en un mes de 31 días y un mes de 30 días.

En este caso, debemos construir una ecuación lineal en forma implícita, es decir, una ecuación de la forma:

[tex]a\cdot x + b\cdot y = c[/tex] (1)

Donde:

[tex]a, b[/tex] - Coeficientes de proporción de ahorro.[tex]c[/tex] - Coeficiente de proporción total del ahorro.[tex]x[/tex] - Cantidad de meses de 31 días.[tex]y[/tex] - Cantidad de meses de 30 días.

Si sabemos que la solución consiste únicamente en números naturales y si [tex]a = \frac{1}{3}[/tex], [tex]b = \frac{2}{3}[/tex] y [tex]c = 1[/tex], entonces tenemos la única solución disponible:

[tex]\frac{1}{3}\cdot x + \frac{2}{3}\cdot y = 1[/tex]

[tex]x + 2\cdot y = 3[/tex]

[tex]2\cdot y = 3 - x[/tex]

[tex]y = \frac{3}{2}-\frac{1}{2}\cdot x[/tex]

[tex](x, y) = (1, 1)[/tex]

Los estudiantes recaudarán un total de $ 10000 pesos en un mes de 31 días y un mes de 30 días.

Invitamos cordialmente a ver esta pregunta sobre sistemas de ecuaciones:    https://brainly.com/question/12149981

Mrs. Cho has 24 students in her class. Some of her students are also in the play.

Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.​

Answers

914 1404 393

Answer:

  24% of 24 is not a whole number

Step-by-step explanation:

24% of Mrs. Cho's students is ...

  0.24 × 24 = 5.76 . . . students

This is not a whole number. The number of students must be a whole number. There cannot be part of a student in the play.

write the decimalas a percent 4.68

Answers

Answer:

468% is the percent of 4.68

Step-by-step explanation:

4.68 x 100 = 468

I really need help on this problem

Answers

Answer:

64??

Step-by-step explanation:

If not I'm sorry I tried :)

Answer is simple you add all the angles

identify the antecedent and consequent of each conditional statement if they had a guard dog then no one would trust pass on their property​

Answers

The antecedent is They had a guard dog and the consequent is No one would trust pass on their property.

The proposition given contains a conditional, whose form is [tex]p \implies q[/tex], representing a causal relationship, where:

(Antecedent) [tex]p:[/tex] They had a guard dog.

(Consequent) [tex]q:[/tex] No one would trust pass on their property.

Hence, the antecedent is They had a guard dog and the consequent is No one would trust pass on their property.

We kindly invite to check this question on propositions: https://brainly.com/question/18545645

An online music store charges $1.15 for each song after you pay a $22 subscription fee. Write a function that represents the
arithmetic sequence. How many songs can you buy if you have $35 to spend?

Answers

Answer:

y = 1.15x + 22

HELP ME WITH THIS PLS

Answers

Answer:

1033.765625

Step-by-step explanation:

I think it’s bottom left

Answer:

10^(4)*4^(5) or 10 to the 4th power by 4 to the 5th power

Step-by-step explanation:

When simplified, both equal to 10240000.

1.8.3 practice - functions

15. State the domain and range of each of the following functions
[tex]f(x) = \frac{1}{x + 3} [/tex]
[tex]g(x) = \sqrt{x + 6} [/tex]
[tex]h(x) = x {}^{2} + 2x + 5[/tex]

Answers

Answer its 5982

Step-by-step explana

For question 1 please look at the image below

Answers

Answer:

Step-by-step explanation:

a) Number of families having income between $ 20000 - $ 40000 = 100

b) Number of families having income less than $40000 = 100 + 40 = 140

PLEASE HELP MEEEEEEE

Answers

Answer:

PLEASE HELP MEEEEEEE TOOOOOOO

Rock Middle School is planning a field trip to a museum. The museum specifies that there needs to be one chaperone for every 4 students. If the maximum number of people allowed on the field trip is 700, what is the maximum number of students able to visit the museum?​

Answers

Answer:

28000

Step-by-step explanation:

You multiply 4 and 700.

Answer:

525 students

Step-by-step explanation:

There will be 175 chaperones on the trip.

All you need to do is find 1/4 of 700 which is the number of chaperones.

Then subtract it by 700 to find the number of students.

I hope this helps!!

PLEASE HELP! Economics

Answers

Answer: C. an increase in prices for domestically produced watermelons.

Evaluate the expression for x = 8
x + 5

5
8
3
13

Answers

Answer:

1st one

Step-by-step explanation:

:) pls mark brainliest

help me asap. i’ve been stuck on this question for like two hours

Answers

Answer:

Step-by-step explanation:

how do I rewrite this using the distinctive property

6(-4)

127°
37°
Х
Calculate the size of angle x.
angle x =

Answers

The size of angle x from the figure is 16 degrees

The sum of the interior angle of a triangle is 180 degrees, hence to get the value of X, we will take the sum of all the given angles and equate them to 180 degrees.

127 + 37 + X = 180

164 + x = 180

Subtract 164 from  both sides

164 + x - 164 = 180 - 164

x =16 degrees

Hence the size of angle x from the figure is 16 degrees

Learn more on angles here: https://brainly.com/question/16281260

Answer:

Solution :

As we know that the sum of interior angles of triangle is 180⁰.

Accounting to the question :

[tex]\implies[/tex] Sum of angles = 180⁰

[tex]\implies[/tex] 127⁰ + 37⁰ + X = 180⁰

[tex]\implies[/tex] 164⁰ + X = 180⁰

[tex]\implies[/tex] X = 180⁰ - 164⁰

[tex]\implies[/tex] X = 16⁰

Hence, the size of angle is 16.

[tex]\rule{300}{1.5}[/tex]

Does anyone know this?

Answers

Answer:

all squares are quadrilaterala

Step-by-step explanation:

it has 4 sides and I just remember.

Answer:

All squares are quadrilaterals.

Step-by-step explanation:

Squares are defined as quadrilaterals with four right angles and four congruent sides.

Can’t figure this out need help

Answers

Answer:

d

Step-by-step explanation:

range means y values so automatically a and b aren't right

there's no limits for y since it's linear, so it's D

that R sign basically means "all real numbers"

Tessa wants to install a zipline between two trees. The zipline will be strung between the trees at points 42 feet and 3 feet high. Suppose the trees are 60 feet apart. What is the length of the zipline to the nearest tenth of a foot

Answers

The length of the zipline is found using Pythagoras's theorem, which gives

the length of the hypotenuse side of a right triangle.

Length of the zipline is approximately 71.56 feet

Reasons:

Height at which the zipline will be tied to one of the trees = 42 feet

Height at which the zipline will be tied to the other tree = 3 feet

The distance between the trees = 60 feet

Required:

The length of the zipline

Solution:

The length of the zipline is found as follows;

Taking one of the trees to be at the origin, the coordinates of one of the tying point = (0, 42)

The coordinates of the other tying point = (60, 3)

The in the imagined right triangle formed by the zipline and the distance

between the trees, the length of the zipline is given by Pythagoras theorem

as follows;

Length of zipline = [tex]\sqrt{(60 - 0)^2 + (3 - 42)^2} = 3 \cdot \sqrt{569}[/tex] ≈ 71.56

Length of the zipline ≈ 71.56 ft.

Learn more here:

https://brainly.com/question/14463850

factor completely. show full work

Answers

Answer:

here's the answer mark me brainliest!!

Answer:

Step-by-step explanation:

2p² + 8pq - pq - 4q² = 2p(p + 4q) - q( p + 4q)

                                 = (p + 4q)(2p - q)

Perform the operations indicated choose the correct answer 14+29

Answers

Answer:

14+29=43

Step-by-step explanation:just add it

What is the probability of
spinning a yellow?

Answers

Answer:

is 2/8

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

What is the equation in point slope form of the line that passes through the point (3, 1) and has a slope of –2?


Drag and drop the appropriate number, symbol, or variable to each box.

Answers

Answer:

y - 1 =  -2(x - 3)

Step-by-step explanation:

Given the point, (3, 1) and the slope of –2:

Let  (x₁, y₁) = (3, 1)

slope: m = -2

Substitute these values into the following point-slope form:

y - y₁ = m(x - x₁)

y - 1 = -2(x - 3)  ⇒ This is the point-slope form.

Someone help meeee :))

Answers

Answer:

Step-by-step explanation:

1) 3x + y = 3

          y = -3x + 3

When x = 0  ;   y = 0  +3 = 3                          (0 , 3)

When x = 1   ;    y = -3*1 + 3 = -3 + 3 = 0        (1 , 0)

When  x = 2   ;   y = -3*2 + 3 = -6 +3 = -3      (2 , -3)

Plot the points (0 ,3 ) ; (1 ,0) and (2 , -3) in the graph and join them

2) y = x + 3

When x = 0  ; y = 0 +3 = 3           (0 , 3)

When x = 1   ; y = 1 + 3 = 4          (1 , 4)

When x = -3  ; y = - 3 + 3 = 0      (-3 , 0)

Plot the points (0,3) , (1, 4) and (-3 , 0) in the graph and join them

3) Plug in (4 , y) int he equation

y = x + 5

y = 4 + 5

y = 9

y = 9

5) 2x + y = 3

At x-intercept y = 0

2x + 0 = 3

2x = 3

x = 3/2

I need help because all the answer choices my teacher put were wrong so I dont know what to do ​

Answers

Answer:

Equivalent Expression:  [tex]\displaytext\mathsf{\frac{a^7}{b^8}}[/tex]

Step-by-step explanation:

Given the exponential expression,  [tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}}[/tex]:

We could use the Quotient Rule of Exponents where it states that:

[tex]\displaystyle\mathsf{\frac{a^m}{a^n}\:=\:a^{(m\:-\:n)}}[/tex]

Since we have the variables, a and b as the base, we could simply apply the Quotient Rule and subtract their exponents.

[tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}\:=\:a^{(12\:-\:5)}\:b^{(-3\:-\:5)}}[/tex]

[tex]\displaytext\mathsf{=\:a^{7}\:b^{-8}}[/tex]

Next, we must transform the negative exponent of base, b, into positive by applying the Negative Exponent Rule, where it states that:

[tex]\large\text{$ a^{-n}\:=\:\frac{1}{a^{n}} $}[/tex]

Applying the Negative Exponent Rule will result in the following exponential expression:

[tex]\LARGE\text{$ a^{7}\:b^{-8}\:=\:[a^{7}\:\times\:\frac{1}{b^8}]\:=\:\frac{a^7}{b^8} $}[/tex]

Therefore, the equivalent expression is:  [tex]\LARGE\text{$ \frac{a^7}{b^8} $}[/tex].

in Littletown , the probability a team goes to the city playoffs is 0.20. the probability a team goes to the state playoffs given that the the team goes to the city playoffs is 0.50.

what is the probability that a randomly selected team from Littletown goes to goes to the city a state finals?

Answers

Answer: 10%

Step-by-step explanation:

rewrite the equation in Ax+By=C form, use intergers for A, B, and C.

Answers

y-2x=8. i just finished learning this lesson and i’m almost sure this is correct. please let me know if proven otherwise!

Answer:

2x - y = - 8

Step-by-step explanation:

y - 4 = 2(x + 2) ← distribute

y - 4 = 2x + 4 ( subtract y from both sides )

- 4 = 2x - y + 4 ( subtract 4 from both sides )

- 8 = 2x - y , that is

2x - y = - 8 ← in standard form

with A = 2, B = - 1 and C = - 8

Linear or non linear?

Answers

Answer:

Linear

Step-by-step explanation:

This is linear because using the data you have provided we can work out that the equation is y= -5x+27

y= mx+ c (c is the gradient)

This equation shows that the line is straight (also shown in the picture) and therefore must make it a linear graph.

For the graph to be non linear, the graph would be curved but this would mean the equation would have to be a quadratic - which it isn't.

Hope this helps!


To make fuel for the main engines of a space shuttle, 102,619.377 kilograms of liquid hydrogen and 616,496.4409 kilograms of liquid oxygen are mixed together in the external tank. How much fuel is
stored in the external tank?
There are kilograms of fuel stored in the external tank.

Answers

Answer:

There are 719,115.8179kg of fuel stored in the external tank

Step-by-step explanation:

102619.377 + 616496.4409 = 719,115.8179

Which graph represents the equation y = 3/4x – 3 ?


Answers

Answer:

You haven't shown the graph image but here is what the graph looks like if the equation is y=3/4x -3

Step-by-step explanation:

Answer:

0.75x-3

Step-by-step explanation:

A card is drawn from a deck of 52 playing cards. Given that it is a black card, what is the probability that it is the following? (Enter your probabilities as fractions.)
(a) a club

(b) a jack

Answers

The answer for this a b a jack
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