Mathematics College

A deck of cards has 52 cards. There
are 4 suits, diamonds, hearts, clubs
and spades. Each suit has 13 cards.
What is the probability that I will
randomly pick a King?

Answers

Answer 1
There are 52 cards in total. 13 of them are spades and 4 of them are two’s. At first hand you might think that there are 13+4=17 cards that can be marked as “spade or two" but counting like that card “spade 2” is counted twice. Repairing this we find that there are exactly 13+4-1=16 cards that can be marked as “spade or two". We call this an application of the principle of inclusion/exclusion.

Then applying the rule that probability equals number of favourable outcomes divided by number of possible outcomes we find that the probability on drawing such card equals:

16/52=4/13.

Related Questions

kathy walked 3/4 mile to piano lessons every day.How many miles does she walk in 4 days​

Answers

Answer:

3 miles.

Step-by-step explanation:

Given that Kathy walks 3/4 mile every day.

[tex]\frac{3}{4}mile = 1 day[/tex]

Let's multiple it by 4.

[tex]\frac{3}{4} (4)[/tex]

Find common factor of both 4 to simplify, so of course 4.

[tex]\frac{3}{1} (1)[/tex]

Multiply across and the number should be 3! Hope that helped

(x^2)+8x+12=0

i need help with this one

Answers

Answer:

x1=-6, x2=-2

Step-by-step explanation:

Answer:

this is the answer hope it helps

plzzzz help meeeeeeeeeeee

Answers

It is the 2nd one you’re welcome

Airplane A is flying directly toward the airport which is 30 miles away. The pilot notices Airplane B 40 degrees to her right. Airplane B is also flying directly toward the airport. The pilot of Airplane B calculates that Airplane A is 30 degrees to his left. Based in that information, how far is Airplane B from the airport?

Answers

9514 1404 393

Answer:

  38.6 mi

Step-by-step explanation:

The law of sines applies.

  b/sin(B) = a/sin(A)

  a = b(sin(A)/sin(B)) = (30 mi)sin(40°)/sin(30°)

  a ≈ 38.6 mi

Airplane b is about 38.6 miles from the airport.

_____

We have used the usual convention that the side opposite an angle is named using the lower-case letter naming the angle. Here, the angles are named by the airplane designator (A or B).

Answer:

We have used the usual convention that the side opposite an angle is named using the lower-case letter naming the angle. Here, the angles are named by the airplane designator (A or B).

NO LINKS
If x = -3, then which inequality is true?
F. -5x + 2 ≤ 12
G. 3x – 7 ≥ −16
H. 14 + 2x < 5
J. 1/2 x + 6 > 11

Answers

The answer is G

3x-7>-16

Questlon 3 of 10
Which term describes the distance from the center of a circle to any point on
the circle?
A. Diameter
B. Center
C. Circumference
D. Radius
SUBMIT

Answers

the correct answer is D radius

Radius.

Step-by-step explanation:

please help..I dont get this and please Dont put a Link below please.

Answers

Answer:

x = 27, y = 74

Step-by-step explanation:

Hi again :)

Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.

5x + 4 + x + 14 = 180

6x + 18 = 180

6x = 162

x = 27

Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.

5(27) + 4 = 2y - 9

135 + 4 = 2y - 9

139 = 2y - 9

148 = 2y

y = 74

As always, lmk if you have questions.

What is the area of this whole triangle?

Answers

Answer:

[tex] area = 380~cm^2 [/tex]

Step-by-step explanation:

[tex] \dfrac{a}{\sin A} = \dfrac{c}{\sin C} [/tex]

[tex] \dfrac{a}{\sin 30^\circ} = \dfrac{28}{\sin 25^\circ} [/tex]

[tex] a = \dfrac{28 \sin 30^\circ}{\sin 25^\circ} [/tex]

[tex] a = 33.13 [/tex]

A + B + C = 180

30 + B + 25 = 180

B = 125

[tex] area = \dfrac{ac \sin B}{2} [/tex]

[tex] area = \dfrac{33.12 \times 28 \sin 125^\circ}{2} [/tex]

[tex] area = 380~cm^2 [/tex]

What’s the area of the figure?

Answers

The area should be 36.

The formula for area is base times height [A=b(h)]

which of the following is equivalent to 2:1​

Answers

Answer:

use m a t h w a y

Step-by-step explanation:

put it all together and they will give you opitions

Priscilla is on her school’s swim team. Her coach has noted the number of laps Priscilla and five of her teammates can swim without stopping: 5, 4, 6, 3, 7, 5. Help Priscilla summarize this data.

Answers

Answer:

Mean: 5, Median: 5, Mode: 5,  Range: 4

Step-by-step explanation:

Mean: 5

5 + 4 + 6 + 3 + 7 + 5 = 30

30/6 = 5

Median: 5

3, 4, 5, 5, 6, 7,

Mode: 5

3, 4, 5, 5, 6, 7

2 fives

Range: 4

7 - 3 = 4

Write the quadratic equation in sandard form and then choose the value of "b."
(2x-1)(x+5)=0

Answers

So to get into the form you need to multiply both using foil. First inside outside last. So 2x • x = 2x^2 + -1 • x + 5 • 2x + -1 • 5
= 2x^2 -x+10x -5
= 2x^2 +9x -5
And the b value would be 9 since
Ax^2 +bx + c

its worth 25 please help and show work

Answers

9514 1404 393

Answer:

  3) y = √10

  4) x = 5√2

Step-by-step explanation:

The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...

  1 : 1 : √2

So, for some multiplier k, they can be made to match the sides in your triangles.

__

3) 1·k : 1·k : k√2 = √5 : √5 : y

Clearly, k = √5, so ...

  y = (√5)(√2)

  y = √10

__

4) k : k : k√2 = x : x : 10

  k = 10/√2 = (5√2)/2

  k = x = (5√2)/2

write 3^n/9^(n-1) as a power of 3​

Answers

The correct answer is 3^(2 - n)

The steps below show the incomplete solution to find the value of x for the equation
5x − 2x − 3 = −2 + 15:

Step 1: 5x − 2x − 3 = −2 + 15
Step 2: 5x − 2x − 3 = 13
Step 3: 3x − 3 = 13

Which of these is most likely the next step?

3x = 16
3x = 10
3x = 39
3x = 3

Answers

The most likely step would be choice 1: 3x = 16 because in step 3, you should add 3 on both sides. So, 3's would cancel out on the left side and you solve for 13 + 3 = 16. Thus, the answer would be 3x - 16. Hope this helps :)

Each student in Mr.Carey’s class donated 15$ to a charity. There are 24 students in the class which expression could have been used to calculate the total amount donated?

Answers

$15 x 24 = $360
Hope this helps

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ANSWER THE QUESTION FOR BRAINLIESTANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST

Answers

A speed rate….=constant of proportionality

A number, k……=unit rate

A ratio…………….=slope


Answer:

Step-by-step explanation:

A speed rate = constant of proportionality

A number, k = unit rate

A ratio = slope

A pair of shoes is on sale for $66.00. This is 75% of the original price. What was the original price?

Answers

Answer:

$88.00

Step-by-step explanation:

66=3/4x

66/.75=66*4/3=88

Angela bought two pairs of shoes for a total of $138$ The difference in the price of shoes was $42. How much was the more expensive pair of shoes? Use systems of equations to solve. You must use substitution to solve

Answers

Answer:

$90

Step-by-step explanation:

Variable x = Less Expensive Shoe

Variable y = More Expensive Shoe

Set up equations:

x + y = 138

x + 42 = y

The problem says to use substitution to solve, meaning we must substitute one variable for a different value. I will substitute variable y in the first equation for x + 42 as this equals y in the second equation.

x + x + 42 = 138

Combine like terms

2x + 42 = 138

Subtract both sides by 42 to isolate variable x

2x = 96

Divide both sides by 2 to isolate variable x

x = 48

Substitute variable x for 48 and solve for y. I will use the second equation for this.

48 + 42 = y

Combine like terms

90 = y

I defined y as the more expensive pair of shoes. Since the problem only asks for the price of the more expensive shoes, the answer is $90.

find the least common multiple of 12 and 20 please no links​

Answers

Answer:

The Least common multiple of 12 and 20 is 60!

Step-by-step explanation:

Hope this Helps!

Guys please i need help in this question, whoever gets it right will get a brainliest

dont pay attention to the bots responding with links, there not the answers

Answers

Answer:

14- 1/5

15- 9/20

16- 11/20

Step-by-step explanation:

Which number best represents the probability that an event is very unlikely to occur?
A) 1.25
B) 0.50
C 0.97
D) 0.05
Helpppp fastttt

Answers

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bit.[tex]^{}[/tex]ly/3a8Nt8n

? Miss mama just say the answer

a laptop has listed a price of $807.99 before tax if the sales tax rate is 8.75% find the total cost of the laptop with the sales tax include round your answer to the nearest cent as necessary​

Answers

Answer:

Step-by-step explanation:

70.699125

FIND X. PLEASE HELP............. ..........!

Answers

Answer:

x=23

Step-by-step explanation:

The cost of a barrel of beans, b, fluctuates by 17% in both directions during a three-month period. Match each verbal description of the high and low cost of a barrel of beans with all
​

Answers

Answer:

b is increased by 17% : A and E

b is decreased by 17%: H and J

Step-by-step explanation: took the test

21
х
15
X
(Round to the nearest tenth)

Answers

Answer:

that would be 6

x = 6

Step-by-step explanation:

Can someone please help me :(

Answers

Answer:

3 ^7

Step-by-step explanation:

7 goes in the box

you could do 5 + 2 and that is 7

Answer:

pretty sure you're supposed to put 7 in the box bc when multiplying numbers with exponents you add the exponents

Step-by-step explanation:

sorry if I'm mistaken

Solve for v
11v + -15v = 8
V=

Answers

Answer:

Step-by-step explanation:

Solution= V=0

Answer:

[tex] \bf \huge2[/tex]

Step-by-step explanation:

Given :

11v + -15v = 8

to find :

solve for v

explanation :

step 1 : Simplify both sides of the equation.

⟼ 11v + -15v = 8

⟼ 11v - 15v = 8

⟼ - 4v = 8

step 2 : Divide both sides by - 4.

⟼ - 4v / - 4 = 8 / - 4

⟼ v = - 1 × - 2

⟼ v = - 2.

∴ v = 2.

50 - (14 + 12 +2(5) + 2(2) + 3)

Answers

Answer:

50 - (14 + 12 +2(5) + 2(2) + 3)

solve the brackets first

50 - (14 + 12 + 10 + 4 + 3)

50 - (14 + 12 +2(5) + 2(2) + 3)

50- 43

7

3. State if each statement is correct. If it is not correct, then fix the mistake.

For three problems explanation and work needed

SOON ASP!!!! please.

Answers

Answer:

All are incorrect

Step-by-step explanation:

Required

Determine which is correct or not

[tex](a)\ 2x * 2x = 4x[/tex]

This is incorrect because:

[tex]2x * 2x = 2 * 2 * x*x[/tex]

[tex]2x * 2x = 4x^2[/tex] ---- fixed

[tex](b)\ 3x^3 * 3x^3 = 9x^9[/tex]

This is incorrect because:

[tex]3x^3 * 3x^3 = 3 * 3 * x^3 * x^3[/tex]

[tex]3x^3 * 3x^3 = 9x^(3+3)[/tex]

[tex]3x^3 * 3x^3 = 9x^6[/tex] ---- fixed

[tex](c)\ 4x(4x + 5) =8x + 5[/tex]

This is incorrect because:

[tex]4x(4x + 5) =4x * 4x + 4x * 5[/tex]

[tex]4x(4x + 5) =16x^2 + 20x[/tex] ---- fixed

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