Consider a standard deck of 52 playing cards with 4 suits. If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B? (Remember that the black cards are spades and clubs.)

Answers

Answer 1

Answer: Intersection of A and B = 2

Step-by-step explanation:

Total cards = 52

Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.

Total cards having 6 on them = 4

[There are 4 suits of two different colors red and black.]

Total  black playing card =26

Intersection of A and B = Black cards having 6 = 2

hence, Intersection of A and B = 2


Related Questions

4) Solve the problem for the compound events.
A bank has a special vault for valuable items. It has 3 dials that operate the combination. The
first dial has the numbers from 1 to 100, the second and third each have the 26 letters of the al-
phabet. In order to open the vault, the bank manager must correctly set each dial. How many
possible combinations are there for this vault?

Answers

Answer:

i think its 67600

Step-by-step explanation:

100*26=2600

2600*26=67600

El equipo de béisbol de los Gatos Salvajes de Ludlow, un equipo de las ligas menores de la organización de los Indios de Cleveland, juega 70% de sus partidos por la noche y 30% de día. El equipo gana 50% de los juegos nocturnos y 90% de los diurnos. De acuerdo con el periódico de hoy, ganaron el día de ayer. ¿Cuál es la probabilidad de que el partido se haya jugado de noche?

Answers

Answer:

0.5645

Step-by-step explanation:

De la pregunta anterior, se nos dan los siguientes valores para el equipo de Ludlow

Probabilidad de jugar de noche = 70% = 0.7

Probabilidad de ganar en la noche = 50% = 0.5

Probabilidad de jugar durante el día = 30% = 0.3

Probabilidad de ganar durante el día = 90% = 0.9

Probabilidad de que cuando ganaron ayer, el juego se jugó por la noche =

(Probabilidad de jugar de noche × Probabilidad de ganar de noche) ÷ [(Probabilidad de jugar de noche × Probabilidad de ganar de noche) + (Probabilidad de jugar de día × Probabilidad de ganar de día)]

Probabilidad de que cuando ganaron ayer, el juego se jugó de noche = (0.5 × 0.7) ÷ (0.5 × 0.7) + (0.9 × 0.3)

= 0.35 ÷ 0.35 + 0.27

= 0.35 ÷ 0.62

= 0.5645

La probabilidad de que el partido se haya jugado de noche = 0.5645

Which statement(s) is(are) true about cones? Statement 1: A cone has a triangular base. Statement 2: A cone is 3 times larger than a cylinder with the same height and radius. Statement 3: A cone is one-third the size of a cylinder with the same height and radius. Statement 4: A cone has a circular base.

Answers

Answer:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

Step-by-step explanation:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

The true statement is:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

What is Cone?

A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top . A cone has one face . There are no edges for a cone.

Properties of Cone

A cone is a shape that has a curved surface and a circular base. The following properties of a cone help us identify it easily. They are as follows.A base of a cone is circular.There is one face, one vertices, and no edges for a cone.The slant height of a cone is the length of the line segment joining the of the cone to any point on the circumference of the base of the cone.A cone have circular base at a perpendicular distance is called a right circular cone.A cone have  circular base is an oblique cone.

As, from the properties of cone we can say that.

A cone is one-third the size of a cylinder with the same height and radius. and, : A cone has a circular base..

Learn more about cone here:

https://brainly.com/question/16394302

#SPJ2

Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M. Which angle is an adjacent interior angle to ∠JKM? ∠JKL ∠MKL ∠KLM ∠LMK

Answers

Answer:

The correct option is;

∠MKL

Step-by-step explanation:

From the construction of the line LKJ to form the exterior  angle ∠JKM, we have that the segment MK of triangle KML forms two adjacent angles on JKL which are ∠JKM and ∠MKL, therefore, the adjacent interior angle to angle ∠JKM is angle ∠MKL

PLease find attach The drawing of triangle KML showing the extended point J

Answer:

B) ∠MKL

Step-by-step explanation:

Took the quiz on edge

PLS HELP ME !!! A community garden is divided into 10 equal parts. Carrots are planted in 5/10 of the garden and peas are planted in 1/10 of the garden. The rest of the garden is planted with corn. What fraction of the garden is corn? Show a model and solve.

Answers

Answer:

The fraction of corn is 4/10 of the garden.

Step-by-step explanation:

5/10 + 1/10 = 6/10

10/10 - 6/10 = 4/10 or 2/5

Find the volume of the cone shown below.T
15
12
A. 9727 units
B. 972 units
C. 3247 units
D. 324 units

Answers

The answer is- D. 324 pi units squared

The volume of the cone is 324π cubic units, option C is correct.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the volume of cone whose height is 12 units, radius is 9 units

Volume = πr²h/3

Now let us plug in values of r and h which are radius and height respectively

Volume of cone = π × 9² ×12 /3

= π × 81×4

=324π cubic units

Hence, the volume of the cone is 324π cubic units, option C is correct.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ5

Solve this please! And if you can tell me how and why

Answers

Answer:

Theres no solution ._.

Step-by-step explanation: Bc you have the 2 lines

Answer: No solution

Step-by-step explanation:

There are no values of x that make the equation true

Solve this one 0.2=x/5-1.4

Answers

Answer:

x = 8

[tex]0.2 = \frac{x}{5} - 1.4[/tex]

Move 1.4 to the left side of the equation

That's

[tex]0.2 + 1.4 = \frac{x}{5} \\ \\ \frac{x}{5} = 1.6[/tex]

Convert the decimal to fraction

That's

1.6 = 8/5

[tex] \frac{x}{5} = \frac{8}{5} [/tex]

Multiply through by 5

We have

[tex] \frac{x}{5} \times 5 = \frac{8}{5} \times 5 \\ \\ \\ x = 8[/tex]

Hope this helps you

At a pond, there were 24 ducks swimming. The ratio of ducklings to adult ducks is 5:1. How many ducklings were swimming at the pond?

Answers

Answer:

Hey there!

The ratio of ducklings to adult ducks is 5:1.

This means for every six ducks, five are ducklings and one is an adult.

If there are 24 ducks, then 5 times 4 = 20 ducklings and 4 adults.

Thus, there are 20 ducklings.

Hope this helps :)

Answer:

20 ducklings.

Step-by-step explanation:

Solve for x. Enter your answer in the box. x =

Answers

Answer:

X =6

Step-by-step explanation:

24/12 : (5x+2)/16

Solve

Answer:

X=6

Step-by-step explanation:

Got right on test.

of the CP of 15 articles equals to the SP of 12 articles, find the gain percent.
an
ple 4:​

Answers

Question

If the CP of 15 articles equals to the SP of 12 articles, find the gain percent.

Answer:

gain percent = 25%

Step-by-step explanation:

To solve the question given, we will follow the steps below:

gain%  =   [tex]\frac{s.p - c.p}{c.p}[/tex]  ×    100%

But from the question;

"CP of 15 articles equals to the SP of 12 articles", this implies that

15 c.p  =  12 s.p

s.p = 15c.p  /   12

s.p  = [tex]\frac{15 c.p}{12}[/tex]       =   [tex]\frac{5c.p}{4}[/tex]

s.p  =  [tex]\frac{5c.p}{4}[/tex]

substitute  s.p  =  [tex]\frac{5c.p}{4}[/tex]   into the formula

gain%  =   [tex]\frac{s.p - c.p}{c.p}[/tex]  ×    100%

      =[tex]\frac{\frac{5c.p}{4} - c.p }{c.p}[/tex]     ×    100%

       =  [tex]\frac{\frac{5c.p - 4c.p}{4} }{c.p}[/tex]      ×    100%

  =   [tex]\frac{c.p}{4}[/tex]   ÷   c.p      ×    100%

= [tex]\frac{c.p}{4}[/tex]     ×   [tex]\frac{1}{c.p}[/tex]    ×    100%

=   [tex]\frac{1}{4}[/tex]  ×    100%

=  25 %

two regular polygons are such that the ratio of the measures of their interior angles is 4:3 and the ratio between their number of sides is 2:1 find the number of sides of each polygon

Answers

hey mate, here is ur answer in the attachment!

Find the term that must be added to the equation x^2−6x=7 to make it into a perfect square.

Answers

Answer:

Step-by-step explanation:

x^2-6x=7 is our equation

x^2-2*3*x= 7

So the term we will be adding is 3^2 since 3 the second term is 2*3*x

x^2-6x+9=7-9

We added 9 and substract it to keep the equation

(x+3)^2 = -2

Wich is impossible since a squared number is always positive

what is the 46th term of the arithmetic sequence with this explicit formula

Answers

Answer:

A. -146

Step-by-step explanation

46th term = -11 + ( 46 -1) (-3)

= -11 + (45)(-3)

=-11 -135

= - 146

what is the other way to solve besides multiplying both sides by a common factor

Answers

Answer:

Here's one way

Step-by-step explanation:

13) multiply each term by 24

9x - 32x = 96

-23x = 96, divide both sides by -23

x = -4.17

What is the equation of the line that passes through the point (8,-8) and has a
slope of - 2?

Answers

Answer:

y = -2x + 8

Step-by-step explanation:

y = mx + b

-8 = -2(8) + b

-8 = -16 + b

8 = b

y = -2x + 8

oof i read the question and done goofed frick my add

Dora can plant 150 flowers in the same time it takes charlie to plant 120 flowers. Also Dora can plant 18 flowers more per day than charlie. How many flowers can Charlie plant per day?

Answers

Answer:

Number of flowers planted planted by Charlie per day = 72

Step-by-step explanation:

Given:

Dora can plant 150 flowers and Charlie plants 120 flowers in same time.

Dora can plant 18 flowers more per day than that of Charlie.

To find:

Flowers that can be planted by Charlie per day = ?

Solution:

Let the time taken by Dora to plant 150 flowers = T days

So, T will be the time taken by Charlie to plant 120 flowers.

Number of flowers planted by Dora per day = Total Number of flowers planted by Dora divided by number of days

Number of flowers planted by Dora per day = [tex]\frac{150}{T}[/tex]

Similarly, Number of flowers planted by Charlie per day = Total Number of flowers planted by Charlie divided by number of days

Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex]

As per condition given:

[tex]\dfrac{150}{T} = \dfrac{120}{T} +18[/tex]

Solving the above equation by taking LCM:

[tex]\Rightarrow \dfrac{150}{T} = \dfrac{120 +18T}{T}\\\Rightarrow 150=120+18T\\\Rightarrow 18T = 30\\\Rightarrow T = \dfrac{30}{18}\\\Rightarrow T = \dfrac{5}{3}\ days[/tex]

Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex] = [tex]\frac{120\times 3}{5} = 72[/tex]

So, answer is:

Number of flowers planted planted by Charlie per day = 72

What the correct answer now

Answers

Answer:

388.6 yd²

Step-by-step explanation:

the missing angle in triangle is 180 - 32 - 38 = 110

Law of sines: 31/sin 38 = VT/sin 32

VT = 26.68

area = 1/2ab sinC

A = 1/2 (31)(26.68) sin 110

388.6 yd²

What is the equation of a line, in general form, that passes through points (-1, 2) and (5, 2)? A. y - 2 = 0 B. y - x - 2 = 0 C. x - 2 = 0

Answers

Answer:

y=2 or y-2=0

Step-by-step explanation:

to find the equation first find the slope m points (-1,2) and (5,2)

m=y2-y1/x2-x1 =2-2/5-(-1)=0/6=0

y=mx+b  the slope is zero then y=b=2

According to the graph, what is the value of the constant in the equation
below?
A. 10
B. 20
C. 100
D. 4

Answers

Answer:

  C.  100

Step-by-step explanation:

You can rearrange the equation to say ...

  (Height)(Width) = Constant

Multiply any of the coordinate values shown, and you will see the constant is 100.

  4×25 = 5×20 = 10×10 = 20×5 = 100

The constant is 100.

The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth.
8.54 units
9.54 units
11.00 units
24.00 units

Answers

Answer:

8.54 units

Step-by-step explanation:

Given,

Perpendicular ( p ) = 8 units

Base ( b ) = 3 units

Hypotenuse ( h ) = ?

Using Pythagoras theorem:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

plug the values

[tex] {h}^{2} = {8}^{2} + {3}^{2} [/tex]

Evaluate the power

[tex] {h}^{2} = 64 + 9[/tex]

Calculate the sum

[tex] {h}^{2} = 73[/tex]

Squaring on both sides

[tex]h = \sqrt{73} [/tex]

Calculate

[tex]h = 8.54[/tex] units

Hope this helps..

Best regards!

Answer:

TEST ANSWER: q1:C q2:a q3:b q4:c

Step-by-step explanation:

i got it right on the test 100%

A rectangular piece of wood is 12 centimeters longer than it is wide. A strip 1 centimeter wide is cut off all around. This decreases the area by 120 square centimeters. What were the original dimensions?

Answers

Answer:

Length 37 cm, width 25 cm.

Step-by-step explanation:

Let the original dimensions be length x and width x - 12 cms.

The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.

So , from the areas, we have:

x(x - 12) - (x - 2)(x - 14) = 120

x^2 - 12x  - (x^2 - 16x + 28) = 120

-12x + 16x - 28 = 120

4x = 148

x = 37 cms

So the length was 37 cm and the width was 37-12 = 25 cm.

i need help please ​

Answers

Answer:

See below.

Step-by-step explanation:

In all triangles, the three interior angles will add up to 180°. Therefore:

[tex](9x+6)+(5x)+(90)=180[/tex]

Remember that the little square means a right angle.

Now, solve for x.

[tex]9x+6+5x+90=180\\14x+96=180\\14x=84\\x=6[/tex]

Now, plug x back into the equations to find each angle:

1)

[tex]\angle ABC = \angle B = 9(6)+6=60\textdegree[/tex]

2)

[tex]\angle BCA = \angle C = 90\textdegree[/tex]

3)

[tex]\angle CAB = \angle A=5(6)=30[/tex]

Answer:

1. angle ABC = 60

2. angle BCA = 90

3. angle CAB = 30

Step-by-step explanation:

Since we know the right angle =90 degrees, we just need to do simple algebra. (We also know the all three angles added together equals 180.)

5x+9x+6+90=180.

Now let's simplify. We can simplify by adding like terms:

14x+96=180

Now we just need to do simple algebra. First we'd subtract the 96 from both sides:

14x+96=180

      -96  -96

14x = 84

Now we just need to divide 14 from both sides to separate the 14 from the x.

[tex]\frac{14x}{14}[/tex] = [tex]\frac{84}{14}[/tex]

x = 6

Now that we know what x equals, we just need to fill it into the equations which shouldn't be too hard. :)

Extra hint: to check your answer just add all three angles together and if you get 180 your answer is correct. :)

HOPE THIS HELPS!! <3 :D

The smaller the cookies the more I can fit in a container. Which graph models this situation?
A)А
B)B
C)C
D)D

Answers

Answer:

C: as the size increases the amount decreases. this means as the x-value increases, the y-value decreases, which is shown by graph C.

Answer:

your answer is c )c and where are you live

A middle school took all of its 6th grade students on a field trip to see a play at a theatre that has 2000 seats. The students filled 65% of the seats in the theatre. How many 6th graders went on the trip?

Answers

Answer: 1,300 students went on the trip

Step-by-step explanation: So we know that 65% filled the seats so let's turn that into a fraction.  [tex]\frac{65}{100}[/tex] . Now we know that there are 2,000 seats in total so let's put that into a fraction. [tex]\frac{x}{2,000}[/tex]  The x represents the students that went on the trip.

               [tex]\frac{65}{100} = \frac{x}{2,000}[/tex]  we have to cross multiply

   65(2,000) = 100 (x)

    130,000   =  100 (x)          

    130,000   ÷  100                            

        1,300    =   x          So now we know that 1,300 went to the trip students

26. A positive whole number is called stable if at least one of its digits has the same value
as its position in the number. For example, 78247 is stable because a
the 4th position. How many stable 3-digit numbers are there?
appears in

Answers

Answer:

One

Step-by-step explanation:

Given the value 78247 a s a stable number because at least one of its digits has the same value  as its position in the number. The 4th number in the value is 4, this makes the number a stable number.

The following are the 3-digits stable numbers that appears in 78247

The first number is 824. This digits are stable numbers because 2 as a number is situated in the same place as the number (2nd position).

Hence, there are only 1 stable 3-digit numbers in the value 78247 since only a value exists as 2 in the value and there is no 1 and 3 in the value.

WILL GIVE BRAINLEST ANSWER IF DONE IN 24 HOURS Find the fourth roots of 256(cos 240° + i sin 240°).

Answers

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~~~`

4th root of 256 is 4, and 240/4 = 60, and 360/4 = 90, so the 4 roots are

4(cos 60 + i sin 60)

4(cos 150 + i sin 150)

4(cos 240 + i sin 240)

4(cos 330 + i sin 330)

Hope this helped you. Brainliest would be nice!

OL ⊥ ON start overline, O, L, end overline, \perp, start overline, O, N, end overline \qquad m \angle LOM = 3x + 38^\circm∠LOM=3x+38 ∘ m, angle, L, O, M, equals, 3, x, plus, 38, degrees \qquad m \angle MON = 9x + 28^\circm∠MON=9x+28 ∘ m, angle, M, O, N, equals, 9, x, plus, 28, degrees Find m\angle LOMm∠LOMm, angle, L, O, M:

Answers

Answer:

44°

Step-by-step explanation:

If side OL is perpendicular to ON i.e OL ⊥ ON, then angle  ∠LON = 90°. If the is another line OM projecting from O with ∠LOM= (3x+38)° and ∠MON= (9x+28)°, then ∠MON +  ∠LOM =  ∠LON

Substituting the given angles int the expressions above to calculate the value of x;

(9x+28)° + (3x+38)° = 90°

12x+66 = 90°

12x = 90-66

12x = 24

x = 2°

Since ∠LOM= (3x+38)°, to get the value of the angle, we will substitute x = 2° into the expression as shown;

∠LOM= (3(2)+38)°

∠LOM= 6+38

∠LOM= 44°

Hence the measure of angle LOM is 44°

Answer: LOM = 44°

Step-by-step explanation: it’s right on khan academy (picture for proof)

Miguel can walk at a steady pace of 3 mph. What distance will he go if he walks for 2 hr.? A. 4 mi. B. 6 mi. C. 9 mi. D. 12 mi.

Answers

Answer:

6 miles.

Step-by-step explanation:

Since Miguel is walking 3 miles per hour, 3 times 2 is equal to 6.

Hope that Helped!

Answer:

6mi

Step-by-step explanation:

1hr = 3mph

So , 2hr = 2 × 3mph =6 mi

Hope this helps and pls make as brianliest :)

what is the value of 3cubed

Answers

Answer:

27

Step-by-step explanation:

[tex]3^{3}[/tex] is basically just multiplying the number 3, three times. So 3x3x3. 3x3 is 9, and when you multiply 3 more, it is 27.

Answer:

Step-by-step explanation: 3, because when 3 is cubed you get 27.

Other Questions
Please answer it now in two minutes Equal charges, one at rest, the other having a velocity of 104 m/s, are released in a uniform magnetic field. Which charge has the largest force exerted on it by the magnetic field What is the name and function of the main lymphatic tissue found in the intestines? Thymus gland: enables the conversion of immature lymphocytes into mature T cells Thymus gland: contains B cells that initiate the humoral immune response during infection Payer's patch: enables the conversion of immature lymphocytes into mature T cells Payer's patch: contains B cells that initiate the humoral immune response during infection The _________ measures the strength and direction of the linear relationship between the dependent and the independent variable. Drawing on the example of the Beats, the counterculture of the 1960s:______.a. revered the writings of Emily Bront. b. focused on personal rather than political change. c. insisted that the ends justified their violent means. d. believed that a citizen's first responsibility was to society. Whats the slope???(4, 1 2/3) and (-2, 2/3) 1. Use words to write this expression:9 + 7x What can be done to lessen the effects of gender stratification in the workplace? How does gender stratification harm both men and women? Complete in the blank with the correct Indirect object pronoun: Me, TE,LE,NOS, OS, LES. 1) Juan _______ da ina Camisa a el, su mejor amigo. 2) Maria ______ da unos libros a nosotros. 3) Nosotros ______ la cocinamos a Ella 4) Nosotros ______ lo cocinamos a ti. 5) Pedro ______ lo prepara a mi Match the actions to the corresponding stages of life.Tilestalking to themselveshaving conflicting opinions with peersvocalizing sounds and performing body movementsdistancing themselves from parentsPairsInfantsadolescentsschool-age childrenpreschoolers A retail store has announced to its employees that half of them will be laid off after a two-week, random review of their personnel records. No current performance appraisals or individual interviews are being held. Over the next two weeks, many of the employees are arguing, fighting, and doing a poor job of taking care of their customers. What aspects of stress most likely started these behaviors?A. Pressure and conflictB. Uncontrollability and frustrationC. Pressure and frustrationD. Uncontrollability and conflict The ionization constant of lactic acid ch3ch(oh) co2h am acid found in the blood after strenuous exercise is 1.3610^-4 If 20.0g of latic acid is used to make a solution with a volume of 1.00l what is the concentration of hydronium ion in the solution Half of a quarter of a number is 3/4 .Find the number. A rectangle is 1 inch longer than it is wide. Its diagonal is 5 inches. What's the width of the rectangle? -iota^5[tex]{ - i}^{5} [/tex]pls tell me the answer ill mark it as the brainliest please help Find: x a b a positively charged ion, due to a cosmic ray, is headed through earth's atmosphere toward the center of Earth. Due to Earth's magnetic field, the ion will be delfected: What is the square root of -16? help please?!?!?!?!?!?!??!??!??????!!!!!. A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of digits. The first digit cannot be and the last digit must be . How many different codes are available? (Note that 0 is considered an even number.)