A standard deck of cards contains 52 cards. Of these cards there are 13 of each type of suit (hearts, spades, clubs, diamonds) and 4 of each type of rank (A – K). Two cards are drawn from the deck and replaced each time back into the deck. What is the probability of drawing the King of Clubs and a heart from the deck of cards?

Answers

Answer 1

Answer: 13%

Step-by-step explanation:


Related Questions

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Answers

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I am trying to figure this question:

1 + tan^2A = Sec^2A

Answers

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

cos²A + sin²A = 1 ( divide terms by cos²A )

[tex]\frac{cos^2A}{cos^2A}[/tex] + [tex]\frac{sin^2A}{cos^2A}[/tex] = [tex]\frac{1}{cos^2A}[/tex] , that is

1 + tan²A = sec²A ← as required

need help please thanks

Answers

Answer:

C

Step-by-step explanation:

All angles in a triangle add up to 180°.

63 + 52 = 115°.

180 - 115 = 65°, so part of the answer is done, y = 65°.

The angle next to y is a vertical angle.

61 + 65 = 126°.

180 - 126 = 54°.

So, x = 54°, y = 65°.

Use a half-angle identity to find the exact value of Sin/8
a.
√2 + √2
√2+ √2
2
b. V2-E
d. √2-√2
2
Please select the best answer from the choices provided

Answers

Answer:

To solve this problem, we need to use the following two facts:

1) If a quadratic equation has integer coefficients only, and if one of the roots is a + √b (where a and b are integers), then a - √b is also a root of the equation.

2) If r and s are roots of a quadratic equation, then the equation is of the form x^2 – (r +s)x + rs = 0.

Since we know that 1 - √2 is a root of the quadratic equation, we can let:

r = 1 + √2

and

s = 1 - √2

Thus, r + s = (1 + √2) + (1 - √2) = 2 and rs = (1 + √2)(1 - √2) = 1 – 2 = -1.

Therefore, the quadratic equation must be x^2 – 2x – 1 = 0.

Answer: D

Step-by-step explanation:

According to the general equation for conditional probability, if P(A n B) = 3/4 and P(B) = 4/5 what is P ( A|B)?
A. 35/36
B. 15/16
C. 8/9
D. 24/25

Answers

Given:

[tex]P(A\cap B)=\dfrac{3}{4}[/tex]

[tex]P(B)=\dfrac{4}{5}[/tex]

To find:

The [tex]P(A|B)[/tex].

Solution:

Conditional probability:

[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]

Substituting the given values, we get

[tex]P(A|B)=\dfrac{\dfrac{3}{4}}{\dfrac{4}{5}}[/tex]

[tex]P(A|B)=\dfrac{3}{4}\times \dfrac{5}{4}[/tex]

[tex]P(A|B)=\dfrac{16}{16}[/tex]

Therefore, the correct option is B.

PLZ ANSWER ILL GIVE BRAINLIEST!

Answers

Answer:

It is A, E, and F

Step-by-step explanation:

Answer:

y = 2x
y - 2 = 2(x - 1)


Step-by-step explanation:

(1, 2) & (-2, -4)

Point-Slope Form: y - y1 = m(x - x1) where y represents y2 m represents the slope and x represents x2

In this case, the point slope form will be written as y - 2 = 2(x - 1)

The Slope-Intercept Form will be written as: y = 2x


Find the area of this parallelogram.
13 cm
15cm
h
20cm

Answers

Answer:

260 square centimeters

Step-by-step explanation:

The formula for the area of a parallelogram is:

b x h

Where the base (b) is multiplied by the height (h) perpendicular to it.

The base here is 20 cm

The height perpendicular to the base is 13 cm

20 x 13 = 260

Or you can decompose and rearrange it into a rectangle. You will get 20 cm as the length and 13 cm as the width. The answer will be just the same!

Hope this helps!

Answer: 260 cm²

Step-by-step explanation: A parallelogram is a

quadrilateral with two pairs of parallel sides.

The formula for the area of a parallelogram is A = bh.

Since the base of the parallelogram is 20 cm and the height

of the parallelogram is 13 cm, we can plug this information into the formula

to get (20 cm)(13 cm) which gives us 260 cm².

So the area of the parallelogram shown is 260 cm².

step by step how to solve ? 16x^2-10.3x+10=

Answers

Answer:

it is not possible result is not given so it is not possible

Question 12 (5 points)
Determine the value of x

0.28 units
0.98 units
3.58 units
1.12 units

Answers

Answer:

1.12 Units

Step-by-step explanation:

1. Use cos(56°) = x/2

Make sure your calculator mode is in deg (degree) not rad(radians)

2.  2(cos(56°)) = x

3. x = 1.118385807

4. Round up to get 1.12 Units

find the value of the given equation (-155)+(-20) + (-14) + (-133) + (190) + (170) +(-73)​

Answers

Answer:

-37

Step-by-step explanation:

-155-20-14-133-73=-395

190+170=360

-395+360=-37

Which relation is a function?

Answers

Answer:

the function is the solution is done using the operation

a function is where there is only one output for every input. so when you plug in an x value, you should be getting only one y value.

it’s not the first one because you can see there are two points at (-1,0)
it’s not the second one because you can see there are two points at (0,0)
it’s not the fourth one because again there are two points at (-2,0) and (2,0)

it’s the third one because there is only one y value for every x value.

ILL GIVE BRAINLIEST PLZ ANSWER

Answers

Answer:

-6

Step-by-step explanation:

y = -6x - 5

The equation is put in slope intercept form

( y = mx + b )

Where m = slope and b = y intercept

-6 is in the spot of "m"

Meaning that the slope would be -6

Answer:

slope is -6

Step-by-step explanation:

y = mx+b

m is slope :)

b is the point, where the line intersects the y axis

Which equation will solve the following word problem? There are 36 tables and 7 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 184 people, what is the capacity of each booth?


(B * 7 ) - (36 * 4) = 184


7B + (36 * 4) = 184


184 - (36 * 4) = B/7


184/4 = B * 7

Answers

Answer:

7B + (36 * 4) = 184

Step-by-step explanation:

In a family restaurant there are 36 tables and 7 booths.

Each table can seat 4 people.

Let the number of people who can be seated in a booth be represented by B.

Total seating capacity of the restaurant is 184 people.

Expressing this as an equation:

Among the given options, this relation is expressed in the second option, namely, 7B + (36 * 4) = 184

Instructions: Find AB. given that line AD is the perpendicular bisector of BC.

Answers

Answer:

19

Step-by-step explanation:

because line a d divided the triangle ABC into two equal halves therefore line a b is equal to line AC which is equal to 19

2. (04.02 MC)
The polygons below are similar. Find the value of y. (5 points)
B
8
C
6
در این
مساب
F 6
G
10
A
Z
E 12
H
0 4.5
07.5
12
16

Answers

Answer:

polygens

Step-by-step explanation:

What is the equation, In factored form, of the quadratic function shown in the graph?

Answers

Given:

The graph of a quadratic function.

To find:

The equation of the quadratic function in factored form.

Solution:

From the given graph it is clear that the graph of the function intersect the x-axis at point (-3,0) and (2,0).

Since -3 and 2 are the zeros of the function, therefore (x+3) and (x-2) are the factors of the required quadratic function.

Now, the function can be written as:

[tex]f(x)=a(x+3)(x-2)[/tex]             ...(i)

The graph of the function intersect the y-axis at (0,-6). Substituting [tex]x=0,f(x)=-6[/tex] in (i), we get

[tex]-6=a(0+3)(0-2)[/tex]

[tex]-6=a(3)(-2)[/tex]

[tex]-6=-6a[/tex]

[tex]\dfrac{-6}{-6}=a[/tex]

[tex]1=a[/tex]

Substituting [tex]a=1[/tex] in (i), we get

[tex]f(x)=1(x+3)(x-2)[/tex]

Therefore, the required function is [tex]f(x)=1(x+3)(x-2)[/tex].

Find the value of x line 1 and m are parallel
Helppp

Answers

Answer:

The angle ACB = 50 degree.

Step-by-step explanation:

Given that angle E = 40 degree

Angle D = 90 degree

Triangle ABC is congruent to triangle DEC.

Now Angle ACB = Angle ECD = 90 -40 = 50 degree

So, angle ACB = 50 degree.

Which of the following is an extranous solution

Answers

Answer:

x=2 is the answer

Step-by-step explanation:

Which of the following statements must be true about a rhombus?
The consecutive sides of a rhombus are parallel.
The diagonals of a rhombus are perpendicular.
The diagonals of a rhombus are congruent.
The opposite angles of a rhombus are supplementary.

Answers

Answer:

Step-by-step explanation:

The diagonals of a rhombus are perpendicular

Answer: Choice B) The diagonals of a rhombus are perpendicular

=============================================================

Explanation:

Let's go through the answer choices to see which are true statements, and which are false.

A) This is false because consecutive sides must meet up at a vertex point, or else they won't be next to each other. Consecutive sides can never be parallel (regardless what type of quadrilateral we're dealing with, or any polygon for that matter). In other words, consecutive sides share a common point on both segments, which is why they're not parallel. Instead, it should be phrased as "opposite sides of a rhombus are parallel" which is a true statement. B) This is true. If the diagonals are perpendicular, then we could have either a kite or a rhombus. C) This is false. If the diagonals are congruent, then we have a rectangle. We could have a square (which is both a rhombus and a rectangle at the same time), but that's only for specific cases. In a more general sense, we could have a non-square rectangle that isn't a rhombus. D) This is false. A rhombus is a type of parallelogram. For any parallelogram, the opposite angles are always the same measure. The only time the angles are supplementary is when we have a rectangle; otherwise, the angles won't add to 180.

Determine the x-intercepts of the function. Check all that apply.

(–2, 0)

(–1, –2)

(0, 0)

(1, 0)

(2, 0)

Answers

Answer:

-2,-1,0,1,2

Step-by-step explanation:

Answer:

-2.0

0,0

Step-by-step explanation:

i just did the test

What is the equation of the line graphed below?
5
-5
5
(1, -3)
-5
O A. y = 3x
B. y=-3x
c. y=-5
D. y =
-X

Answers

Answer: y = -3x this is the answer.

What is the answer to this question?

Answers

Answer:

yeah,I think it's 16 ...

Simplify:
a.5³×5‐²×5⁴.
b.a⁴×a‐²×x³.
c.(x⁵)²×(y⁵)³
__________
(x³)³×(y²)²

Answers

Answer:

a. 125 * 0.04 * 625 = 5 * 625 = 3125

b. a^2 * x^3

c. x^10 * x^ y^15

Last one: x^9 * y^4

Step-by-step explanation:

Because yes.

Solve for x. Round to the nearest tenth of a degree, if necessary

Answers

Answer:

29°

Step-by-step explanation:

cos x = 84/98

x = cos-1(84/98)

x = 28.9

Work out the area of the shaded shape.

Answers

Hi there!

[tex]\large\boxed{77m^2}}[/tex]

We can divide the figure into 3 rectangles.

Area of top rectangle:

5 × 5 = 25m²

Long rectangle:

14 × 3 = 42m²

Bottom rectangle:

2 × 5 = 10m²

Add up the areas:

10 + 42 + 25 = 77m²

Determine the measure of <0

20.21°
0.005
73.74°
16.26°

Answers

Answer:

16.26°

Step-by-step explanation:

1. tanΘ= 7/24

2.[tex]tan^-1(\frac{7}{24} ) =[/tex]Θ

3. Θ = 16.26°

If a car is moving on a straight line with a velocity of 40 m/s and it changes its velocity to 60 m/s in 4 seconds, calculate its acceleration.

Answers

Answer:

5m/s²

Step-by-step explanation:

Given :-

Initial Velocity = 40m/s Final velocity = 60 m/sTime = 4s

To Find :-

The acceleration .

Solution :-

We know that the rate of change of velocity is called acceleration. Therefore ,

[tex]\sf\implies a = v - u / t \\ [/tex]

[tex]\sf\implies a = 60m/s - 40m/s/ 4 \\ [/tex]

[tex]\sf\implies a = 20m/s \div 4 \\[/tex]

[tex]\bf\implies a = 5m/s^2[/tex]

Find the coefficient of x^4 in the expansion of (x−9)^8
Please I need help!!

Answers

Answer:

459270

is the coefficient

If you sell 25 items at $150 a piece and your commission rate is 40%, how
much commission do you earn?

Answers

Answer: 1500 dollars.

Step-by-step explanation:

25 * 150 = 3750 (dollars) - total sale amount;

3750 : 100% * 40% = 1500 (dollars) - commission.

I need some one to help me!!

Is (7, 0) a solution to the equation y = x − 7?

Answers

Answer:

Yes

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Coordinates (x, y)

Step-by-step explanation:

Step 1: Define

Identify

Point (7, 0)

Equation y = x - 7

Step 2: Find

Substitute in point [Equation]:                                                                         0 = 7 - 7Subtract:                                                                                                            0 = 0

Since 0 = 0 is true, then it would be a solution to the equation.

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