Which of the pairs of events below is mutually exclusive?

Select the correct answer below:



drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards


drawing a 2 and drawing a 4 with replacement from a standard deck of cards



drawing a heart and then drawing a spade without replacement from a standard deck of cards


drawing a jack and then drawing a 7 without replacement from a standard deck of cards

Answers

Answer 1

Answer:

Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

Step-by-step explanation:

Given four pair of events:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards

To find:

Which of the pairs is mutually exclusive?

Solution:

First of all, let us have a look at the definition of mutually exclusive events.

Mutually exclusive events do not have any case in common.

In other words, two events are known as mutually exclusive when both the events can not occur at the same time.

Now, let us have a look at the given options one by one:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

We know that there is only one ace of spades in a standard deck.

Therefore, the two events can not occur one after the other, so these are mutually exclusive events.

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.

The two events can occur one after the other, so these are not mutually exclusive.

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.


Related Questions

Help:(
At a manufacturing plant where switches are made, it is a known fact that 2% of all switches are defective. If two
switches are used in a device, what is the probability that both switches are good?
0.9604
b. 0.02
C. 0.98
d. 49

Answers

Answer:

A) 0.9604

Step-by-step explanation:

Because it is.

What is the answer of 10% of 6340

Answers

Answer:

604

Step-by-step explanation:

just simple division pls giv 5 out ogf 5 and thanks

Answer:

634

Step-by-step explanation:

emilio worked for 19.5 hours he earned 497.25 how much did he earn per hour?

Answers

Answer:

25.5 per hour

Step-by-step explanation:

497.25/19.5

Answer:

497.25 devided by 19.5= $25.5 per hour

Step-by-step explanation:

everything is in the picture​

Answers

Answer:

-2

Step-by-step explanation:

We have the graph of [tex]y=f(x)[/tex].

We want to find [tex]f(-6)[/tex].

In other words, what is the value of the graph when [tex]x=-6?[/tex]

We can see that when [tex]x=-6[/tex], our graph [tex]f(x)[/tex] is at the point B(-6, -2).

Therefore, [tex]f(-6)=-2[/tex]

So, our answer is -2.

are 3,000:18,000 and 10,000:32,000 equivalent

Answers

Answer:

No

Step-by-step explanation:

they are not equivalent

Julie had $150. She needed to spend $3.00 for lunch every day. How much money will she have left after 20 days? Please help it's hard

Answers

Answer:

$90 left after 20 days

Step-by-step explanation:

She starts out with 150, right?

She spends $3 each day x 20 days = 60

150 - 60 = 90

Hope this helps! :')

Answer:

multiply 3.00 times 20 and you'll get 60.00 subtract that from 150 and your answer is 90.00 dollars

Evaluate 64 to the power of 1/2 x 10 to the power of -2

Answers

the answer should be 2/25 or 0.08

Y intercept of y=(x+2)2-1

Answers

Answer:

It is -1.

Step-by-step explanation:

To start off y=mx+b is the formula for this type of problem. y and x are variables, m is the slope, and b is the y-intercept. Since you need to identify the y-intercept, all you need to do is look at the end of the equation to find the y-intercept. In this case it is -1, since -1 is b.

Hope that helps!

Answer:

actually the answer is 3

Step-by-step explanation:

the reason it's a nagative is because the one was flipped to the opposite side of the equation flip it to a positive and add it to the 2 right next to it you got three or you could always graph it.

If jacks age is three years more than twice Trinas age, t, then which of the following represents the sum of their ages in terms of it

1. 2t+3
2. 2t +3t
3. 2t^2+3t
4. 3t+3

Answers

Not gonna lie to you bud I have no idea

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y– 3 = {(x - 1). What is
the slope-intercept form of the equation for this line?
O y= {x+ 2
O y={x-4
oyufx &
O y=2x-Ź

Answers

Answer:

Step-by-step explanation:

The answers is A

Whats the answers please

Answers

Answer: D,C,B

Step-by-step explanation:These are the answers

B,C, & D are the answers

4 Rosie has 150 caramel
apples to sell. Each caramel apple is covered with one topping.
of the caramel apples are covered with peanuts.
are covered with chocolate chips.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
F
50
G 80
H 70
J 30
7.3B

Answers

Answer:

I'd say 50

Step-by-step explanation:

I just divided 150 by 3 since I only saw 3 toppings.

Instructions
All of the points in the picture are on the same line.
YA
(6, 10)
(a, 8)
(4.b)
(2, 2)
What is the slope

Answers

where is the picture?

Evaluate the variable expression when a = 5, b = 5, and c = -4.
Bc divided by (2a)

Answers

Answer:

-2

Step-by-step explanation:

Bc÷2a

5×-4÷2×5

-20÷10

-2

The value of the expression bc ÷ 2a will be negative 2.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A principle that specifies the right procedure to follow while calculating a mathematical equation is known as the activities to be conducted.

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

The value of the variable expression when a = 5, b = 5, and c = -4.

The expression is given below.

⇒ bc ÷ 2a

Substitute the value of the variable a = 5, b = 5, and c = -4.

⇒ 5 × (-4) ÷ 2 × 5

Simplify the expression, then the value of the expression will be

⇒ - 20 ÷ 10

⇒ - 2

The value of the expression will be negative 2.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2


Write a pair of numbers whose greatest common factor is 10 will give brainlist

Answers

Answer:

20 and 10

Step-by-step explanation:

Answer:

20 ,10

Step-by-step explanation:

hope it helps

Please help ASAP!!! Will give brainlist!

Answers

Answer:

the last 1

Step-by-step explanation:

4p+2q=62
8p−q=59

Multiply 4p+2q=62 by 2, then subtract 8p−q=59 from the result.

Multiply 8p−q=59 by 2, then add the result to 4p+2q=62.

Do both strategies work for solving the system? If so why?

Answers

Answer:

3/2 and 6/9

Step-by-step explanation:

the teacher said  i was right

For the expression 5-5x to have a negative value, what must be true about the value of x?

Answers

Answer:

x>1

Step-by-step explanation:

let's make this an inequality.

5-5x<0

let's solve.

-5x<-5

x>1

therefore, the value of x must be larger than 1 for this statement to make sense.

The value of x has to be greater than 1 in order for the expression to make sense.

What is the y-intercept of the line with equation 3y - 4x = 9?

Answers

Answer: (0, 3)

Step-by-step explanation: To find the y-intercept, we can plug a 0 in for x.

So we have 3y - 4(0) = 9.

This simplifies to 3y = 9.

Dividing both sides by 3, we find that y = 3.

So our y-intercept is 3 which we can write as the ordered pair (0, 3).

A school group wants to rent part of a bowling alley to have a party. The bowling alley costs $500 to rent, plus an additional charge of $5 per student to bowl. The group doesn’t want any student to pay more than $15 total to attend this party.
What is inequality that could represent this situation?
How many students would need to attend so each student would pay at most $15?

Answers

Answer:

If there are N students, the total cost will be:

C(N) = $500 + $5*N.

And we want the amount that each student pays to be equal or less than $15.

then:

C(N)/N ≤ $15.

Then the inequality that represents this situation is:

($500 + $5*N)/N ≤ $15.

Now, let's solve this:

($500 + $5*N) ≤ $15*N

$500 ≤ $15*N - $5*N

$500 ≤ $10*N

$500/$10 ≤ N

50 ≤ N

So the minimum number of students needed is 50.

each square below represents one whole​

Answers

Answer:

hello…

the colored part is 20%

The shaded part should be equal to 175%

If every square is one whole, or 100%, each quadrant should be 25%. Both squares combined are 200%, so one 25% shaded quadrant missing would result in 175% of the two squares shaded... hope this helps.

someone pls help, find the length of the segment

Answers

the segment is 4 units long

hope this helps

The segment is 4 units long

Commutative property can be expressed as

Answers

Answer:

a+b=b+a, where a and b are integers

Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero. la diferencia de los reciprocos de los numeros es una decima.​

Answers

Answer:

Ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]

Step-by-step explanation:

La mitad de una cantidad es el resultado de partir en dos partes iguales dicha cantidad, siendo cada una de esas partes es la mitad de la cantidad inicial. Por lo que la mitad de un número se calcula dividiendo el número por 2.

El recíproco o inverso multiplicativo de un número x es el número que, cuando es multiplicado por x , da 1.  Es decir, el producto de un número y su recíproco es 1. Para obtener el recíproco de un número, sólo divide 1 por el número. Entonces el reciproco de un numero cualesquiera x es [tex]\frac{1}{x}[/tex].

El doble o duplo de un número se calcula multiplicando el número por 2.

La diferencia es el resultado de la resta o sustracción.

Entonces:

La mitad del reciproco de un numero: siendo el número x, entonces esto se expresa como [tex]\frac{1}{x}[/tex]÷2El duplo del reciproco de otro numero: siendo el número y, entonces podes expresar [tex]\frac{1}{y}[/tex]*2Uno más que el reciproco del primer numero: [tex]\frac{1}{x}+1[/tex]

Entonces:

[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{y}[/tex]*2 = [tex]\frac{1}{x}+1[/tex] Ecuación (A)

Siendo la diferencia de los recíprocos de los números igual a una decima, entonces

[tex]\frac{1}{x}+\frac{1}{y}=\frac{1}{10}[/tex] Ecuación (B)

Entonces, de la ecuación (B) se obtiene:

[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{x}[/tex] Ecuación (C)

Reemplazando en la ecuación (A):

[tex]\frac{1}{x}[/tex]÷2 +( [tex]\frac{1}{10}-\frac{1}{x}[/tex])*2 = [tex]\frac{1}{x}+1[/tex]

Resolviendo:

[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{10}*2-\frac{1}{x}*2[/tex] = [tex]\frac{1}{x}+1[/tex]

[tex]\frac{1}{x}[/tex]*[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{x}*2[/tex] - [tex]\frac{1}{x}[/tex]= 1- [tex]\frac{1}{10} *2[/tex]

[tex]-\frac{5}{2}*\frac{1}{x}=\frac{4}{5}[/tex]

[tex]\frac{1}{x} =\frac{4}{5}[/tex] ÷ [tex](-\frac{5}{2})[/tex]

[tex]\frac{1}{x} =-\frac{8}{25}[/tex]

[tex]x=-\frac{25}{8}[/tex]

Entonces, reemplazando en ecuación (C)

[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{-\frac{25}{8} }[/tex]

[tex]\frac{1}{y}=\frac{1}{10}+\frac{8}{25}[/tex]

[tex]\frac{1}{y}=\frac{21}{50}[/tex]

[tex]y=\frac{50}{21}[/tex]

Entonces, ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]

Usando un sistema de ecuaciones, se encuentra que  los números son: [tex]-\frac{1}{4}, -2[/tex]

Un número es llamado de x, el otro de y.Los recíprocos son: [tex]\frac{1}{x}, \frac{1}{y}[/tex]

Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero, o sea:

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

La diferencia de los reciprocos de los numeros es una decima, o sea:

[tex]\frac{1}{x} - \frac{1}{y} = 10[/tex]

[tex]\frac{y - x}{xy} = 10[/tex]

[tex]y - x = 10xy[/tex]

[tex]y = 10xy + x[/tex]

[tex]y = x(10 + y)[/tex]

[tex]x = \frac{y}{10 + y}[/tex]

Reemplazando en la primera ecuación:

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

[tex]\frac{10 + y}{2y} + \frac{2}{y} = 1 + \frac{10 + y}{y}[/tex]

[tex]\frac{10 + y + 4}{2y} = \frac{y + 10 + y}{y}[/tex]

[tex]\frac{14 + y}{2y} = \frac{2y + 10}{y}[/tex]

[tex]14y + y^2 = 4y^2 + 20y[/tex]

[tex]3y^2 + 6y = 0[/tex]

[tex]3y(y + 2) = 0[/tex]

[tex]y + 2 = 0[/tex]

[tex]y = -2[/tex]

[tex]x = \frac{y}{10 + y} = \frac{-2}{10 - 2} = -\frac{1}{4}[/tex]

Los números son: [tex]-\frac{1}{4}, -2[/tex]

Un problema similar es dado en https://brainly.com/question/24646137

searching online for airline tickets. Two weeks​ ago, the cost to fly from to was ​$210. Now the cost is ​$355. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

Answer:ggStep-by-step explanation:

Answer:

192%

Step-by-step explanation:

355+50=405

405•100/210=192.857%

increse of 192.857%

Convert 6 feet to meters.
Conversion table:
1 meter = 3.281 feet

Answers

Answer:

6 feet = 1.8288 meters

Step-by-step explanation:

Hope this helps and have a phenominal day!

Draw the triangle ABC on a coordinate plane given the following points A (0,0) B (4,-10) C (10,-4)
draw a picture of ur triangle

Answers

Answer:

plot those points on a graph and then label the points with the correct letter and then connect the dots and you should have a triangle on your graph.

Step-by-step explanation:

Step-by-step explanation:

First plot the points on a graph and then connect those points forming a triangle

Calculate the area of the trapezoid.
12 mm
5 mm
9 mm
________square millimeters

Answers

Answer:

52.5 square millimeters.

Step-by-step explanation:

Area of a Trapezoid = (a+b/2)h

= (9+12/2)•5

=(21/2) • 5

= 10.5 • 5

= 52.5 square millimeters

hope this helps!

Answer:

52.5 mm^2 (square millimeters)

Step-by-step explanation:

Just split the figure into two sections to make a rectangle, and a right triangle (This whole figure can be thought of as a composite figure)

Once that is done, you will notice that the length and width of the rectangle is 9mm by 5mm, and the triangle is 3mm by 5mm (because 12mm - 9mm is 3 mm, and the height of the triangle is shared with the width of the rectangle).

The area of a triangle is 1/2(base×height) [just as a triangle is half of a rectangle], so the area of the rectangle is (length × width).

Therefore the 9mm by 5mm rectangle has an area of 9×5 mm = 45 mm^2, and the 3mm by 5mm triangle has an area of 1/2(5×3) = 15/2 = 7.5 mm^2.

Add both areas to find the total area:

45mm^2 + 7.5mm^2 = 52.5 mm^2.

____________________________

Or using the formula for the area of a trapezoid: A = h (b1 + b2) / 2

Where A is the area, b1 is the first base, b2 is the second base, and h is the height of the figure.

Given that our first base is 9, second base is 12, and our height is 5.

A = h ( b1 + b2 ) / 2 → A = 5 ( 9 + 12 ) / 2 → 5 ( 21 ) / 2 → 105 / 2 → 52.5

Then just put this quantity in mm^2 because it is the area of the figure in that unit.

→ 52.5 mm^2

_____________________________

Which term describes −8/27?

Answers

Answer:

8/27. Though the question is a bit confusing. If your asking which term describes it, its this a multiple choice question?

Step-by-step explanation:

8 /27

is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).

Steps to simplifying fractions :

Find the GCD (or HCF) of numerator and denominator

GCD of 8 and 27 is 1

Divide both the numerator and denominator by the GCD

8 ÷ 1

27 ÷ 1

Reduced fraction:  

8 /27

Therefore, 8/27 simplified to lowest terms is 8/27.

Answer:

-8/27

Step-by-step explanation:

Can someone help me with this please

Answers

Okay I will help you.

9 7/9 simplified and in mixed number form.

PLEASE MARK ME BRAINLIEST IF I'M RIGHT!! THANKS

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