What is the probability of pulling a card from a deck of 52 cards and getting a king and a queen?

4928 rooms / 112 floors

2464 rooms / 56 floors

---Really, all we are doing here is simplifying a fraction until we have a 1 in the denominator

44 rooms / 1 floor

Hope this helps!

Answer:

prism B is greater

Step-by-step explanation:

prism A

lenght: 1×4=4

width: 4×8=32

height: 8×1=8

add them all up and multiply it by 2 = 4+32+8×2=52

prism B

lenght: 10×2=20

width: 2×1.5=3

height:1.5×10=15

add them all up and multiply it by 2= 20+3+15×2=76

Step-by-step explanation:

You use the Distance Formula

d= √( x2 - x1 )^2 + ( y2 - y1 )^2

substitute

r=  √(3-3)^2 + (4-1)^2

    √0^2 + 3^2

r = √9

r = 3

Now you can use the equation for  finding the circumference

2πr

2π3

≈ 6π or 18.85

Answer:

For each object, choose an appropriate scale for a drawing that fits on a regular sheet of paper. Not all of the scales on the list will be used.

Step-by-step explanation:

Answer:

Approximately [tex]14,\!500\; {\rm cm^{3}}[/tex].

Step-by-step explanation:

The radius of a sphere is the same as the radius of the great circle of that sphere.

Thus, in this question, it would be possible to find the radius of the sphere by finding the radius of the great circle.

The circumference of a circle of radius [tex]r[/tex] is [tex]2\, \pi \, r[/tex]. In this question, it is given that the circumference of this great circle is [tex]95\; {\rm cm}[/tex]. Thus, the radius of this great circle would be:

[tex]\begin{aligned}r &= \frac{95\; {\rm cm}}{2\, \pi} \approx 15.1197\; {\rm cm}\end{aligned}[/tex].

Thus, radius of the sphere in this question would also be approximately [tex]15.1197\; {\rm cm}[/tex].

The volume of a sphere of radius [tex]r[/tex] is [tex](4/3)\, \pi\, r^{3}[/tex]. Thus, the volume of this sphere of radius [tex]r = 15.1197\; {\rm cm}[/tex] would be approximately:

[tex]\begin{aligned}\frac{4}{3} \, \pi\times (15.1197\; {\rm cm})^{3} \approx 14,\!500 \; {\rm cm^{3}}\end{aligned}[/tex]

Answer:

C: Addition then multiplication can be used to solve the problem

Step-by-step explanation:

The height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

We have a volume of the cylinder:

V = 475π cubic meter

The radius r = 5 meters

475π = π(5)²h

h = 19 meters

Thus, the height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.

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Answer:

the base length is 8 units

Step-by-step explanation:

You can use pythagorean theorem to solve this

The statement in this problem that does not represent a inferential statistic is given by:

c. 15% of the people surveyed have the first name hugo.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

In this problem, an inferential statistic is the sample proportion of 15% for the population of Lyon, France or Europe(as Lyon is in France and France in Europe).

In option C, the inference is for the sample and not for any population, hence it is not an inferential statistic.

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Answer:

I dontknow what ur question is but I think u just have to measure the length of 50 ° on ur protector use a compass

Answer:

82/9

Step-by-step explanation:

x - 1/x = 4

x - 1 = 4x

-1 = 3x

- 1/3 = x

from there just substitute in x for x² + 1/x² to get:

82/9 or 9.1 recurring

Answer:

Jenny has worked out the area of the whole circle using the formula π × r² where r is the radius length. She has assumed π is 3.14 which leads to her working of 3.14 × 10² = 314 units². She has to divide the total area by 4 to calculate the sector area.

Let's check

Area of sector

The value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Consider getting a 6 as a success. In this example, the chance of getting a 6 in a single spin is 1/6. The number of 6s in 50 spins can be considered a binomial random variable. Then, if X is the number of trials, we receive a score of 6 out of 50. Then there's the model below.

[tex]\rm P(X = k) = \binom{50}{K}\binom{1}{6}^k\binom{5}{6}^{50-k}[/tex]

From the binomial random variable of n trials with a probability of success of p.

We will have, n = 50, p = 1/6

Number of times Stacey would spin a 6 = 8.33

Thus, the value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.

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Answer:

APR, or annual percentage rate, is your interest rate stated as a yearly rate. An APR for a loan can include fees you may be charged, like origination fees. APR is important because it can give you a good idea of how much you'll pay to take out a loan.

Answer:

dude do this by your self this is to easy

By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.

If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.

This means that if the areas are 169 m² and 81 m², then we can write:

169 m² = (k²)*81 m²

Solving for k, we get:

k = √(169 m²/81 m²) = 1.44

Then if the volume of the large solid is 124.92m³ we can write:

124.92m³ = k³*V

Replacing k and solving for V we get:

124.92m³ = (1.44)³*V

(124.92m³/ (1.44)³) = V = 86.75 m³

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Answer: Its C

Step-by-step explanation: Just did it

The obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis. None of the option is correct.

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

The given equation of the function is;

[tex]y = -(x+2)^{1/3}+5[/tex]

Hence,the obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis.

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Answer:

The function f(x) = sqrt(x - 2) + 3 represents a square root function that is shifted 2 units to the right and 3 units up from the parent function f(x) = sqrt(x).

The endpoint of the function occurs when the radicand (x - 2) is equal to zero, which means x = 2. So, the function has an endpoint at (2, 3).

Since the function involves a square root, the value of y cannot be negative. Therefore, the function is increasing to the right.

The correct graph that represents the function f(x) = sqrt(x - 2) + 3 is the one that shows a curve with an endpoint at (2, 3) that increases to the right.

Therefore, the answer is: The graph shows a curve with an endpoint at 2 comma 3 that increases to the right. A.

[tex]\dfrac{4+3\sqrt 5}{4-3\sqrt 5}\\\\\\=\dfrac{\left(4+3\sqrt 5 \right)\left(4+3\sqrt 5 \right)}{\left(4-3\sqrt 5 \right)\left(4+3\sqrt 5 \right)} \\\\\\=\dfrac{\left(4+3\sqrt 5 \right)^2}{4^2 - \left( 3 \sqrt 5 \right)^2}\\\\\\=\dfrac{4^2 + 2\cdot 4 \cdot 3\sqrt 5 + \left( 3\sqrt 5 \right)^2}{16-9\cdot 5}\\\\\\=\dfrac{16+24\sqrt 5 + 45}{16-45}\\\\\\=\dfrac{61+24\sqrt5}{-29}\\\\\\=-\dfrac{61}{29}-\dfrac{24}{29}\sqrt 5\\\\\\=-\left(\dfrac{61}{29}\right) + \left(- \dfrac{24}{29} \right) \sqrt 5[/tex]

[tex]\text{It is now in a form of}~ a+b\sqrt 5~, \text{where}\\ \\a=-\dfrac{61}{29}~~ \text{and}~~ b =- \dfrac{24}{29}[/tex]

The minimum amount of cloth carl needs to cover the entire box will be 188 square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called the surface area.

Given that:-

The minimum amount of cloth carl needs to cover the entire box will be the surface area of the prism

Surface area = 2 [ (5 x 2)+ (12 x 5) + (12 x 2)]  

Surface area= 188 square inches

Therefore the minimum amount of cloth carl needs to cover the entire box will be 188 square inches.

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Answer:

C)

Step-by-step explanation:

It can't be A or B because the samples from 50 fish definitely wouldn't be equal to ALL the fish ever.

And it (more so) can't be D because you are finding the mean. that means that some catfish could weight 1 pound, and another could weigh 4, they would just cancel out.

That leaves C) with the only plausible answer.

Answer:

2: 86

3:64

4: 77

6: 3

7:12

8: O=110 X:110

Step-by-step explanation:

Number 2 shows what is called a central angle. Central Angles are equivalent to the ark length

Number 3 shows an Inscribed angle. These angles are half of the ark but in your question, it is twice the angle measurement

Number 4 you want to divide the ark length by two when the angle is not given. And when the angle is given you want to mutilate by two

Number 6 is Overlapping Ark which means they are both congruent to each other because the ark is equivalent to each other.

Number 7 is x=12 because 5x+12 is twice the measure of 3x

Number 8 o=110 because a circle has 360 degrees so you want to add them up and then subtract that from 360. x is also 110 degrees because it is a central angle, which is the same amount of degrees as the ark length.

Answer:

Mean - 17.222222222222

Median - 17

Mode - 12

Step-by-step explanation:

lets arrange this is least to greatest.

2, 4, 12, 12, 17, 18, 28, 29, 33

to find the mean(even though you dont need it), you add all the numbers up and devide by the amount of numbers.

so -> 2 + 4 + 12 + 12 + 17 + 18 + 28 + 29 + 33 = 155

and there are 9 numbers, so 155 / 9 = 17.2 and a lot more 2s

to find the median, you arrange from least to greatest vice versa, then find the middle number.

2, 4, 12, 12, 17, 18, 28, 29, 33

the middle number is 17, so the mean is 17

to find the mode, you have to find the number that is most repeated.

2, 4, 12, 12, 17, 18, 28, 29, 33

the number that is repeated the most is 12, so your mode is 12.

Hope this helped!!!

hope this helps :)

...........

Answer:

The volume of this composite figure is 312 cubic inches.

Step-by-step explanation:

Volume of pyramid:

[tex] \frac{1}{3} ( {6}^{2} )(5) = \frac{1}{3} (36)(5) = \frac{1}{3} (180) = 60[/tex]

Volume of rectangular prism:

[tex]12(3)(7) = 252[/tex]

Volume of composite figure:

[tex]60 + 252 = 312[/tex]

Using the relation between velocity, distance and time, it is found that her average speed for the final 30 miles is of 55.56 mph.

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

Simone travels 90 miles at an average speed of 40 mph, hence the time is given by:

[tex]t_1 = \frac{90}{40} = 2.25[/tex]

She then travels a further 30 miles, with an average speed for the journey of 43 mph. Hence, she traveled 90 + 30 = 120 miles, and the total time is given by:

[tex]t = \frac{120}{43} = 2.79[/tex]

Hence, in the second part, she traveled 30 miles in 2.79 - 2.25 = 0.54 hours, so the velocity is given by:

[tex]v = \frac{d}{t} = \frac{30}{0.54} = 55.56[/tex]

Her average speed for the final 30 miles is of 55.56 mph.

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Answer:

25 N to the left

Step-by-step explanation:

The net force is equal to the differences in magnitudes of the forces acting on it.

Take the left direction to be positive (+) and right direction to be negative (-).

Solving :

Net Force = Force (left) - Force (right)

Net Force = 10 + 20 - 5

Net Force = 30 - 5

Net Force = 25 N to the left

F_net

The intersection region will be between  -2 <x <2​ or x ∈ (-2, 2) if the two inequalities are x>-2  and -4 <x <2​

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have two inequalities:

x>-2  and

-4 <x <2​

or

x ∈ ( -2, ∞) and x ∈ (-4, 2)

The intersection region will be(from the graph)

x ∈ (-2, 2)

Thus, the intersection region will be between  -2 <x <2​ or x ∈ (-2, 2) if the two inequalities are x>-2  and -4 <x <2​

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The solution to the system of equation 8x -4y = -24, 4x - 12y = -32 is x = 19 / 8 and y = 5 / 4

The solution of the system of equation can be found as follows:

8x -4y = -24

4x - 12y = -32

Multiply equation(ii) by 2

8x - 4y = -24

8x - 36y = -64

32y = 40

y = 40 / 32 = 5 / 4

8x - 4(5  / 4) = -24

8x - 5 = -24

8x = -24 + 5

8x = 19

x = 19 / 8

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Answer:

  72

Step-by-step explanation:

The two right triangles are congruent by the HA congruence theorem, so corresponding sides have the same length.

  QR = QT

  3p = p +48 . . . . . . substitute the given measure expressions

  2p = 48 . . . . . . . subtract p

  p = 24 . . . . . . . divide by 2

  QT = p +48 = 24 +48 . . . . . use the value of p in the expression for QT

  QT = 72

Answer:

Here is the ans...hope it helps