Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a face card for the second card drawn, if the first card, drawn without replacement, was a king? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answer:

x is equal to 15.62 .......

Answer:

A

Step-by-step explanation:

Given

Solving

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve it ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} = \dfrac{9}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \sqrt{ \dfrac{9}{4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ \sqrt{9} }{ \sqrt{4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{3}{2} [/tex]

So, the correct choice is A

Using the cosine and tangent ratios:

value of x = 9/2

value of y = 9√3

Cosine ratio is cos ∅ = adjacent/hypotenuse

Tangent ratio is tan ∅ = opposite/adjacent

Find x using the cosine ratio:

cos 60 = x/9

x = (cos 60)(9)

x = (1/2)(9) [cos 60 = 1/2]

x = 9/2

Find y using the tangent ratio:

tan 60 = y/9

y = (tan 60)(9)

y = (√3)(9)

y = 9√3

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Check the picture below.

Answer:

-252

Step-by-step explanation:

assuming that 313, 307, and 301 are the first 3 terms..

By these three numbers we can conclude that the rule is -6

(313 - x = 307, 313 - 307 = 6.. x = 6. To check this we do the same thing but with 307 and 301. 307 - x = 301, 307 - 301 = 6, 6 = x)

We find the 42nd term by multiplying our rule by the term number (42)

 -6(42) = -252 

Remember that a negative times a positive is a negative, but a negative times a negative is positive. 

The 42nd term of an arithmetic sequence is 72.

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given, the sequence is an arithmetic sequence.

a₁ = 313

a₃ = 301 so n= 3

Remember that,

aₙ= a₁ + (n-1)d

aₙ=a₁+(n−1)d

301 = 313 + (3 -1)d

301 = 313 + (2d)

301 - 313 = 2d

-12 = 2d

d = -6

So to find a₄₂:

Then, use the same formula for n = 42

a₄₂ = 313 + (42 - 1) (-6)

a₄₂ = 313 - 246

a₄₂ = 72

Therefore, 72 is the 42nd term of an arithmetic sequence.

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Answer:

[tex]||\overrightarrow{v}||\approx14.64[/tex]

Step-by-step explanation:

The magnitude of a vector [tex]\displaystyle \overrightarrow{v}=\langle x,y\rangle[/tex] is [tex]||\overrightarrow{v}||=\sqrt{x^2+y^2}[/tex], which essentially describes the length of the vector itself between the initial and terminal points:

[tex]||\overrightarrow{v}||=\sqrt{x^2+y^2}\\\\||\overrightarrow{v}||=\sqrt{(10.5)^2+(10.2)^2}\\\\||\overrightarrow{v}||=\sqrt{110.25+104.04}\\\\||\overrightarrow{v}||=\sqrt{214.29}\\\\||\overrightarrow{v}||\approx14.64[/tex]

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

yes,you are finding the probalitiy of exactly 5 not

being broken

Answer: 224 cubic feet

Step-by-step explanation: If the base of the tank is 56 sq feet in area then the dimensions could be, (2,28) (4,14) (7,8) for example. However, it doesn't really matter. It's only important that the information we know is that it is area and there are two dimensions. Since volume is determined by base x width x height, we do 56 x 4. Or using one of the factored pairs that works, for example, 8 x 7 x 4 = 224.

Answer:

Step-by-step explanation:

Remark

The value of the y can be found by using the Geometric Mean.  To use the said mean, you must compare parts of one triangle to parts of the second triangle. In this case, the small triangle containing boy 4 and y, must be compared to the triangle use y and 12

Formula

This translates to

4 / y = y/12

Explanation. The two triangles y and 4 and y and 12 are similar. The short side on the small right triangle on the left is 4. The second longest side on the same triangle is y.

In the triangle containing y and 12 The short side is y and the second side length is 12. You have to read this a couple of times to get the meaning of the two ratios.

Solution

4/y = y / 12                    Cross multiply

y^2 = 4 * 12

y^2 = 48                       Take the square root of both sides.

√y^2 = √48

y = √2 * 2 * 2 * 2 * 3

y = 2 * 2 * √3

Answer

y = 4√3  

Answer:

y = 4√3 y = 4√3

Step-by-step explanation:

i hope it's help

Answer:

4448 feet²

Step-by-step explanation:

Using the formula [tex]A = 2((l)x(w) + (l)x(h) + (w)x(h))[/tex] we can take the length, width and height and plug them in. [tex]A = 2(44x21 + 44x20 + 21x20)[/tex], solving this equation we get [tex]4448 feet^{2}[/tex].

Answer:

x = -3

y = -4

Step-by-step explanation:

We're given:

Let the first number be x and the second be y.

Translate the given information into equations:

Now, solve using elimination:

- [tex]2x-4y=10\\\hspace{5} 4x-4y=4\\\rule{60}{0.3}\\-2x=6[/tex]

Solve for x:

[tex]-2x=6\\x=-3[/tex]

Therefore, the first number is -3.

Now, solve for y using x:

[tex]2x-4y=10\\2(-3)-4y=10\\-6-4y=10\\-4y=16\\y=-4[/tex]

Therefore, the second number is -4.

Answer:

441,000 dollars after 12 years

Answer:

36,000

Step-by-step explanation:

36,000 plus the 10,500

Answer:

The parent function for a quadratic is f(x) = x^2. If there is something other than this, that is how you know it is a quadratic transformation.

Step-by-step explanation:

here you go hope this helps you

Answer:

37.7 in.

Unfortunately, I cannot include the question with the full steps.

Here is the equation:

[tex]\pi * 12 = 37.7[/tex]

[tex]diameter = 12 \: in[/tex]

the circumference of the circle.

[tex]c = \pi \: d[/tex]

[tex]c = \pi \times 12[/tex]

[tex]c = 37.6991118431[/tex]

[tex]c = 37.7 \: in[/tex]

therefore, the circumference of the circle is 37.7 inch.

Answer:

pythagorean theorem

Step-by-step explanation:

The surface area of the parallelogram based prism is 1548 units squared.

The prism has 2 parallelogram base and 4 rectangular faces.

Therefore,

surface area of the prism = 2 (area of the base) + area of the 4 rectangular faces

Therefore,

surface area of the prism = 2(12 × 17) +2(19 × 13) + 2(19 × 17)

surface area of the prism = 2(204) + 2(247) + 2(323)

surface area of the prism =  408 + 494 + 646

surface area of the prism = 1548 units²

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Answer:

2x^2 (4x^2-x-9)

Step-by-step explanation:

8x^4-4x^3-18x^2

2x^2 (4x^2-x-9)

Answer:

4(7×7×2)

volume of all 4 pans is 392

Step-by-step explanation:

1 pan volume = 7×7×2= 98

4 pan volume = 98×4= 392

4(7×7×2)= 392

Answer:

392 i think

Step-by-step explanation:

i might be wrong but hope u get it right

The total number of chairs in the eight rows of the conference hall is; 144 chairs.

From the task content;

It follows that the first row contained 11 chairs and each successive row has 2 more chairs. It therefore follows from the sum of terms for an arithmetic progression that the eight rows contain;

Total number of chairs = (8/2) × (2(11) + 7(2))

S = 4 × 36 = 144.

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Answer:

Step-by-step explanation:

the first thing you have to do is to get the x and the y axis and add them to then decrease that by o,5 and then you get f of which you multiply it by 2 adn you get your answer.

Answer:

The answer is A

Step-by-step explanation:

The attached diagram represents the required line plot

From the given table, we have the following frequency table:

Minutes spent           Frequency

25                                     1

25 1/2                                2

26                                     1

27 1/2                                 1

27 3/4                                1

28 1/4                                1

28 1/2                                2

29                                     1

Total                                10

Using the above frequency table, we can now plot the line plot

See attachment for the line plot

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This question has the same problem as the other one you shared. Neither cot(32°) = 4/3 nor cos(44°) = 7/9 are true.

But if we indulge the author for a moment, we have from the double angle identity

[tex]\sin(2x) = 2\sin(x) \cos(x)[/tex]

so if x = 32°, then

[tex]\sin(64^\circ) = 2\sin(32^\circ) \cos(32^\circ)[/tex]

We also have from the Pythagorean identity

[tex]\sin^2(x) + \cos^2(x) = 1 \implies 1 + \cot^2(x) = \csc^2(x) \\\\ \implies \csc(x) = \pm \sqrt{1+\cot^2(x)} \\\\ \implies \sin(x) = \pm \dfrac1{\sqrt{1+\cot^2(x)}}[/tex]

Now, 0° < 32° < 90°, so both sin(32°) and cos(32°) are positive.

If we assume cot(32°) = 4/3 to be true, it follows that

[tex]\sin(32^\circ) = \dfrac1{\sqrt{1+\left(\frac43\right)^2}} = \dfrac35[/tex]

[tex]\cos(32^\circ) = \sqrt{1 - \sin^2(32^\circ)} = \dfrac45[/tex]

[tex]\implies \sin(64^\circ) = 2\times\dfrac35\times\dfrac45 = \dfrac{24}{25}[/tex]

so E is the only correct choice regardless of the baseless assumptions made by the question.

Answer:

Speaking as an investor, this stock isn’t a good buy. There appears to be too much fluctuation in prices for the year, and it’s difficult to tell from this information whether any growth is expected on this investment for the long term.Speaking as an owner of this stock, it might not be the right time to sell. It depends on whether other opportunities are waiting. There doesn’t appear to be a trend of decrease, so it’s possible there will be more growth in the future to help cover the selling and purchase of another stock. Currently, the stock appears somewhat safe, so it would be better to be patient and wait for change.

Step-by-step explanation:

SAMPLE ANSWER!!!!

Answer:

The measure of an exterior angle of a triangle is always greater than the measure of either of the opposite interior angles of the triangle

sum of angles in a triangle ABC is 180

interior angles +exterior =180

10m

[tex]looking \: at \: the \: diagram \\ horizontal \: lenght = 6m \\ vertical \: lenght = 8m \\ the \: \: lenght \: of \: the \: fencing \: can \: be \: calculated \\ using \: pythagoras \: theorem \\ let \: the \: lenght \: of \: the \: ladder = h \\ h {}^{2} { = 6}^{2} + 8 {}^{2} \\ h {}^{2} = 36 + 64 \\ h {}^{2} = 100 \\ square \: root \: bothsides \\ \sqrt{h {}^{2} } = \sqrt{100 } \\ h = 10 \\ therefore \: lenght \: of \: the \: ladder \: = 10m[/tex]

Answer:

the answer for first square is 18