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

(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

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

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

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

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.

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

21
х
15
X
(Round to the nearest tenth)

Answers

Answer:

that would be 6

x = 6

Step-by-step explanation:

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

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

Answers

Answer:

x=23

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

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

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)

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).

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 :)

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.

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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

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.

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

What’s the area of the figure?

Answers

The area should be 36.

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

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

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:

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]

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!

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

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

plzzzz help meeeeeeeeeeee

Answers

It is the 2nd one you’re welcome

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

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:

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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