3 out of 60 is what percent?

The tree diagram would be best for a probability calculation with two or more “and” statements, option (c) is correct.

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

A probability calculation can be computed using multiple models, each of which is dependent on the given parameters. A graphical model, such as a tree diagram, or an analytical model, such as the systematic list model, can be used.

Tree diagram models are useful for visually showing complex probabilities and aiding solution visualization.

Thus, the tree diagram would be best for a probability calculation with two or more “and” statements option (c) is correct.

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Answer:

Volume is a three-dimensional scalar quantity. The height of the cone is 175.075 units.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the right cone is 41,251 unit³, while the diameter of the cone is 30 units. Therefore, the radius of the cone is 15 units. Thus, the height of the cone will be,

Volume = (1/3)×π×r²×h

41,251 = (1/3)×π×(15²)×h

h = 175.075 units

Hence, the height of the cone is 175.075 units.

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Answer:

y = 20.48

Step-by-step explanation:

[tex]\frac{y}{5.12}[/tex] = 4 ( multiply both sides by 5.12 to clear the fraction )

y = 4 × 5.12 = 20.48

Answer:9/10ths

Step-by-step explanation:

First, convert the 4 and 1/2 tons of gravel to a fraction

You get 9/2

Multiply 9/2 by 1/5 to get your answer

You get 9/10ths of a ton of gravel

The box is considered a unit cube because the volume of the cube is 1 cubic unit.

Suppose that: The side length of the considered cube is L units. Then, we get:

Volume of that cube = L³ cubic units.

A small box is 1 unit long, 1 unit wide, and 1 unit high.

Volume = 1³

Volume = 1 unit³

The box is considered a unit cube because the volume of the cube is 1 cubic unit.

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Answer:

y = -5(x-5)^2+1125

Step-by-step explanation:

Answer:

The answer is almost certainly 5 years. People might, however, pursue a Master of Architecture degree, which takes two to three years to accomplish.

Step-by-step explanation:

Architecture is a five-year degree that requires a keen interest in the topic.  A five-year undergraduate architecture degree, known as a B. Arch., or a two- or three-year post-college master's program, known as an M. Arch., are the two alternatives for those who wish to get an architectural degree that will help them get licensed as an architect. You'll have to labor every day and night. Of course, your performance in class will have an impact. Some instructors may offer homework that are beyond your grasp and abilities. Everything you do must be carefully thought out, imagined, and built.

The 24 boxes which will fit into the large box if the box is in the shape of a rectangular prism.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We can find the volume of the box = length×width×height

Volume for the large box = 12×10×12 = 1440 cubic in

Volume for the small box = 4×5×3  = 60 cubic in

Number of cookie boxes will fit into the large box  = 1440/60 = 24

Thus, the 24 boxes which will fit into the large box if the box is in the shape of a rectangular prism.

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Answer:

things that can be naturally replaced in a short period of time

Answer: The answer is C.

Step-by-step explanation:

Simplify the radical by breaking the radicals up into a product of known factors, assuming real numbers.

Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

The unit price is the amount of money required to buy one unit of a item or goods.

To find the unit price, divide the total cost of the goods to the total number of goods.

The cost of repair will now be $60. Thus, the total cost of 50 earrings is,

[tex]C=60\times50\\C=3000[/tex]

Marisa decided to raise the price of her earrings so that she will make a profit of $5.00 on each pair. Thus, the new selling price of her earring is,

[tex]P=60+5\\P=65[/tex]

The sale's price of 50 earrings is,

[tex]P=50\times65\\P=3250[/tex]

She has also improved the quality control so that only 1 pair in 50 need to be returned for repair. Thus, the cost price of one earring has to be removed from the sales price of 50 earrings as,

[tex]P=3250-60\\P=3190[/tex]

The profit made by her company on 50 earrings is

[tex]p=P-C\\p=3190-3000\\p=190[/tex]

Thus, Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

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Answer:x^2−8x+14

Step-by-step explanation:

Convert to required form: x^2−8x+14Answer: x^2−8x+14

The formula that would allow the architect to calculate the volume of his second attic space design is  V = 1/3s²b. Option D is correct.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The formula for the volume of an oblique pyramid is V = 1/3 * base area * height. In this case, the base of the oblique pyramid is the shape of the cross-section, which is a square. So, the formula becomes V = 1/3 * s^2 * height. The given information states that the height is "a", which is the same for both pyramid models.

Therefore, the formula for calculating the volume of the second attic space design becomes V = 1/3 * s² * a.

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Answer:

8.25

Step-by-step explanation:

Answer: 83.25

Explanation: Take your money amount of $75.00 and add the tax rate of 11% to get your answer.

Hopefully this helps!

Step-by-step explanation:

270°/360° ×π×13²

Area of sector=398.20

Answer:

a

Step-by-step explanation:

none of the x or y values repeat

Answer:

I'm not really into firm design lol I don't even know what that is, I like graphic designs like patterns and stuff.

Step-by-step explanation:

The amount in the account after the given time if compounded semiannually to the nearest cent is $1104.2

Interest is any amount added on a sum of money over a period of time. The formula for calculating the compound interest is:

A = P(1+r/n)^nt

Given

Principal = $1000

rate r = 5% = 0.05

time = 3years

n = 2 (semi annually)

Substitute the given parameters

A = 1000(1 + 0.05/3)^3(2)
A= 1000(1.1042)
A = $1104.2

Hence the amount in the account after the given time if compounded semianually to the nearest cent is $1104.20

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Answer:

625

Step-by-step explanation:

25x25 can be broken down into 20 x 25 and 5 x 25

20 x 25 is 10 x 25 x 2

10 x 25 is 250 and 250 times 2 is 500

25 x 5 is 125.

500+125 is 625.

Step-by-step explanation:

In all cases just divide 360° by the number of sides

Thus,for a. 360°/12=30°

Answer:

1. the total triangles of 12 sides are 10 triangles but the exterior angles of a 12 sided polygon is 30° because dodecagon is equal to 150°

2. the total triangles of 18 sides are 16 triangles but the exterior angles of a 18 sided polygon is 20° because octakaidecagon is equal to 360°/18=20°

3. the total triangles of 8 sides are 6 triangles but the exterior angles of a 6 sided polygon is 120° because hexagon is equal to 720°/6=120°

4. the total triangles of 3 sides are 1 triangle but the exterior angles of a 6 sided polygon is 60° because hexagon is equal to 180°/3=60°

Answer:

72 cm²

Identify the given sides:

Surface area of rectangular prism:

TSA

Answer:

84.8

Step-by-step explanation:

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \cdot 3.14 \cdot 9^2\\\\& = \dfrac{1}{3} \cdot 3.14 \cdot 81\\\\& = 84.78\\\\ & = 84.8\: \sf (nearest\:tenth)\end{aligned}[/tex]

Answer:

A ≈ 84.8 units²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{120}{360}[/tex]

   = π × 9² × [tex]\frac{1}{3}[/tex]

  = 81π × [tex]\frac{1}{3}[/tex]

  = 27π

 = 27 × 3.14

 ≈  84.8 units² ( to the nearest tenth )

Answer:

distribute=muev around

Step-by-step explanation:

done

The interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.

A series is convergent  if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.

We can find the interval for the convergent by root test.

Like the Ratio Test, the root Test is used to determine absolute convergence (or not) with factorials, the ratio test is useful.

For the given series:

[tex]\sum^{\infty}_{n=0}\dfrac{3^n}{x^n}[/tex]

As the series goes infinitely, we can use root test.

By the root test, the convergence interval will be;

The interval of convergence is:

x < -3 or x > 3   we can write this as:

|x| < 3

Thus, the interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.

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Answer:

The rate of dissolving depends on the surface area, temperature and amount of stirring.

Step-by-step explanation:

Answer:

the factors that effect rate of disssolving are as follows

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

So you just do 340/69 which gives you 4.927536232, and you round to the nearest whole number giving you 5.

Step-by-step explanation:

1/12 for black marble

1/11 for red marble

cause you kept the black marble you didn't put it back to the bag.

If a point (-1, 4) reflected over the x-axis then translate the result up 3 units then the coordinates of the final point are (-1, -1)

A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.

Reflecting a point over the x-axis negates the y-coordinate, while leaving the x-coordinate unchanged.

Therefore, reflecting (-1,4) over the x-axis gives us the point (-1,-4).

Translating a point up 3 units means adding 3 to the y-coordinate. Therefore, translating (-1,-4) up 3 units gives us the point:

(-1, -4 + 3) = (-1, -1)

So the final point is (-1,-1).

Hence, if a point (-1, 4) reflected over the x-axis then translate the result up 3 units then the coordinates of the final point are (-1, -1)

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