5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.

Answers

Answer 1

Answer:

99 / 324,870 or 3%

Step-by-step explanation:

there are 12 face cards out of a total of 52 cards

probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]

Answer 2

The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Calculation of the probability:

Since 5 cards are drawn at random from a standard deck

Also, we know that

there are 12 face cards out of a total of 52 cards

So here the probability be like

[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]

= [tex]99 / 324,870[/tex]

Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Learn more about probability here: https://brainly.com/question/21102470


Related Questions


Sam earned $154 washing 7 cars. He earned the same amount for washing each car
Select all the equations that show reasonable estimates for the amount Sam eamed washing each car
A $140 = 7 = $20
B. $190 = 9 = $10
C. $160 = 8=320
D. $150 = 5= $10
E $150 = 3= $50

Answers

Answer:

the answer is A cause you divide 7 by 140 and the answer is 22 so 20 is the closest

I need help please.

Answers

Answer:

D 18 percent

Step-by-step explanation:

So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred

the equation should be 18 is what percent of 100 which is the same thing as 18/100

18 divided by 100 is .18

Find the length of the line segment formed by the points (2, 3) and (2, 5)

Answers

Answer:

2 units

Step-by-step explanation:

Given data

The points are  (2, 3) and (2, 5)

x1= 2

y1= 3

x2= 2

y2= 5

substitute into the distance between two points formula

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((2-2)²+(5-3)²)

d=√(2)²)

d=√4

d= 2 units

Hence the length is 2 units

Find the percent of a number 20% of 155​

Answers

Answer: 31


Explanation:

1. Turn 20% into a decimal (0.20)

2. Multiply 155 by 0.2 to get the answer (155×0.2=31)

Hey there!

[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]

[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]

Good luck on your assignment and enjoy your day!

~[tex]\frak{Amphitrite1040:)}[/tex]

1.488 divided by 2.1 rounded to nearest tenth

Answers

The answer should be 0.70

HELP NOW !! The gravitational force that an object of mass m, has with another object of mass , can be found using the formula
F=G
F = the magnitude of the gravitational force between the two objects
G= the gravitational constant
m = the mass of the first object
me the mass of the second object
-= the distance between the two objects
Draga term to each box to show the gravitational force equation when solving for me.
Gm
Fm
ma
G

Answers

Answer:

M₁=Fr²/GM₂

Step-by-step explanation:

The original formula is

F = GM₁M₂/r²

Rearrange it so M₁ is isolated:

Fr²=GM₁M₂

M₁=Fr²/GM₂

4 + 5 x (10 divided by 9 ) 4 = ?

Answers

Answer:

40

Step-by-step explanation:

4+5=9

9x(10/9)=10

10x4=40

Kiara tosses four different coins. What is the probability that the coins land with two head and two tails showing?


Group of answer choices


4/8


0


6/8


6/16

Answers

Answer:
4/8



Good luck

Will mark brainliest!!!
Solve for x

Answers

Answer:

2

Step-by-step explanation:

2 pretty suree hope this helps

A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
O A. The number of multiple-choice questions minus the number of
short-answer questions is 60.
OB. The number of multiple-choice questions times the number of
short-answer questions is 15.
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
D. The number of multiple-choice questions plus the number of
short-answer questions is 60

Answers

Answer:

C. The number of multiple-choice questions plus the number of

short-answer questions is 15.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of multiple-choice questions

y is the number of short-answer questions.

Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points.

This means that:

[tex]2x + 5y = 60[/tex]

The test has 15 questions.

This means that:

[tex]x + y = 15[/tex].

Which means that option C is the correct answer.

Answer:

C. The number of multiple-choice questions plus the number of short-answer questions is 15.

Step-by-step explanation:

x + y = 15

Need help don’t know what to do I’m confused

Answers

Im pretty sure it’s D. Y= 0.5x + 3 :)

If you Start with $10 in the bank and each month you add $20 which line equation will give you your total amount after X months?

Answers

Answer:

y=20x+10

Step-by-step explanation:

You start with $10, so this will be added on, and is not affected by the number of months.

You add $20 each month, so the 20 is dependant on x.

ANSWER: y=20x+10

(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D

Answers

Answer:

2 2/5

Step-by-step explanation:

3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5

Answer:

3/10 of the pizza is given to each person

Step-by-step explanation:

total number of people= 10

number of pizzas=3

as a fraction, this would be 3/10

you can also use this as 30 out of 100 if that's easier to understand.

Hope this helps ༼ つ ◕_◕ ༽つ

The size of a jar of coffee is increased by one 1/5. The new size is later reduced by 1/5
Is the new jar smaller, the same size or larger than the original?

Answers

Answer:

Smaller

Step-by-step explanation:

Example: say the original size is 100

increasing 100 by 1/5 is the same as increasing 100 by 20, so the new size is 120

reducing 120 by 1/5 is the same as reducing 120 by 24, so now the new size is  96.

100>96

What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?

Answers

Answer:

x = (-150)/49

Step-by-step explanation:

Solve for x:

49 x + 150 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 150 from both sides:

49 x + (150 - 150) = -150

Hint: | Look for the difference of two identical terms.

150 - 150 = 0:

49 x = -150

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 49 x = -150 by 49:

(49 x)/49 = (-150)/49

Hint: | Any nonzero number divided by itself is one.

49/49 = 1:

Answer: x = (-150)/49

help help meeee!!!!!

Answers

Answer:

The correct answer will be $725

Answer:I believe it is $725

Step-by-step explanation: 12.50(1+0.16)

= 14.5 then 14.5 times 50 = 725

A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?

Answers

Answer:

The difference is 10,400$.

Step-by-step explanation:

$61,000-$50,600=$10,400

A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)

Answers

Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5 percent of these are defective.

This means that [tex]p = 0.05[/tex]

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]

0.0025 = 0.25% probability that both are defective

2
If f(x) = -2x2- x, what is f(2) and f(3)?

Answers


If f(x) = -2x^2 - x, what is f(2) and f(3)?

f(2) = -2x^2 - x
= -2(2)^2 - 2
= -4^2 - 2
= 16 - 2
f(2) = 14

f(3) = -2x^2 - 2
= -2(3)^2 - 2
= -6^2 - 2
= 36 - 2
f(3) = 34

Kimani says that the slope of the line between points B and C is greater than the slope of the line between points A and B .

Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B.

Answers

Answer:

Kiara is correct

.............

Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B is Correct.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the figure

Slope between A and B = rise/ run 3/3 = 1

and, slope between B and C = 5/5 = 1

So, the slope between A and B is same as the slope between B and C.

Hence, Kiara has correct statement.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5


Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,0) and (0,9)

Answers

Answer:

need a picture hdhxhxhxhx

YOU HAD YOUR WORD TASTUMI YOU HAD YOUR WORD!2

Answers

Answer:

yes :(

Step-by-step explanation:

Which are equations? Check all that apply.

Answers

Answer:

numbers 1,4,6,7 are all equations

Step-by-step explanation:

just look for the equal sign if there's no equal sign then its an expression not an equation

Answer:

All of the equations are the ones with the equal signs (=)

I hope this helps!

what is the slope intercept form of 7x-5y=15?​

Answers

Answer:

y=7/5x-3 is the slope intercept form

Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0​

Answers

The Vertex is (-2,1)

And the focus is  (-2,3)

List two examples of words/phrases that describe the mathematical operation of multiplication.

Answers

Answer:

Multiplied, Group Addition

Step-by-step explanation:

Again, all I know of.

28 decreased by 2.6%

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given

28 decreased by 2.6%

First we need to determine the percentage decrease such as:

Percentage decrease = 2.6% of 28

                                     = 2.6/100 × 28

                                     = 0.026 × 28

                                     = 0.73

New value can be determined using the formula

New vaue = 28 - percentage decrease

                 = 28 - 0.73

                 = 27.27

We have a bilateral triangle with base length 2 and sidelengths x where x is increasing at a rate

of 5 units per minute.

Find the rate of change of the side angle teta when x=2.

Answers

Answer:

[tex]\frac{5\sqrt{3} }{6}[/tex]

Step-by-step explanation:

Given :

base length = 2

side lengths = x

dx/dt = 5 unit/min

Determine d∅ / dt  at x = 2

d∅ / dt  at x = 2  = [tex]\frac{5\sqrt{3} }{6}[/tex]

attached below is a detailed solution

Simplify: x^2-16/x-4 What does the given expression simplify to? What is the excluded value of x for the given expression?

Answers

Step-by-step explanation:

Difference of Squares: a² - b² = (a + b)(a - b)

(x² - 16) / (x - 4)

= [(x + 4)(x - 4)] / (x - 4)

= x + 4, where x =/= 4.

Answer:

1.    (x+4)

2.     4

Step-by-step explanation:

got right on edge

PLEASE HELP i have to turn this at the end of the day! PLEASE DONT GUESS! :)

Answers

Answer:

x = 13, z = 184

Step-by-step explanation:

(14x-94) = 88

14x = 182

x = 13

z = 360 - 88*2 = 360 - 176 = 184

Answer:

x = 13; z = 92

Step-by-step explanation:

88 = 14x - 94

14x = 182

x = 13

180 = z + 88

z = 92

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