Kwan made a sculpture in the shape of a polyhedron. It only has one base that is a triangle. What three-dimensional figure is her sculpture?

The first distribution with numbers ranging from 1 to 12 has a mean of 6.5, while the second distribution with numbers from 101 to 112 has a mean of 105.5. It is therefore True that the first distribution has a smaller mean than the second distribution.

The question asks whether the first distribution (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12) has a smaller mean than the second distribution (101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112). To determine this, we will calculate the mean of both distributions.

The mean of a distribution is calculated by adding all the numbers in the set and then dividing by the count of numbers.

For the first distribution:
Mean = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12) / 12
Mean = 78 / 12
Mean = 6.5

For the second distribution:
Mean = (101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 109 + 110 + 111 + 112) / 12
Mean = 1266 / 12
Mean = 105.5

Comparing the means of both distributions, the first distribution has a mean of 6.5 and the second distribution has a mean of 105.5. Therefore, it is True that the first distribution has a smaller mean than the second distribution.

Furthermore, this corresponds to elementary properties of means where adding the same value to all elements of a distribution shifts the mean but does not affect the comparison of means of two distributions if the same value is added to each distribution.

Answer:

1.

a) 357 inches³ of water more would be required to fill the tank

b) Riley is not correct, the volume of the larger aquarium is 27

times larger than the volume of the smaller on

c) Riley is not correct, the surface area of the larger aquarium is 9

times the surface area of the smaller one

2.

a) There are 8 boxes of office supplies can be packed into

the larger box for shipping

b) The surface area of the shipping box is 567 inches²

Step-by-step explanation:

1.

a) * Lets study the first aquarium:

- The formula for volume is V = l × w × h

∴ It is a rectangular box of dimensions 16 in , 8.5 in , 10.5 in

∴ Its volume = 16 × 8.5 × 10.5 = 1428 inches³

* The full capacity of this aquarium is 1428 inches³

- Riley noticed that it 3/4 full of water, then still can fill with

1/4 to be full

- Why 1/4 because 1 - 3/4 = 1/4

∴ The volume of 1/4 the aquarium = 1/4 × 1428 = 357 inches³

* There are 357 inches³ of water more would be required to fill the tank

b) * Lets talk about the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their volumes will be (3 : 1)³

- Because we will multiply each dimension by 3 and they

are 3 dimensions, that means 3 × 3 × 3 ⇒ 3³

∴ The ratio between their volumes = 27 : 1

∴ Riley is not correct because the volume of the larger aquarium is 27

times larger than the volume of the smaller aquarium

c) * Similar for the surface area of the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their surface area will be (3 : 1)²

- Because we will multiply each dimension by 3 and to get the

surface area we multiply each two dimensions for the six faces

and then add them

∴ The ratio between their surface area = 9 : 1

∴ Riley is not correct because the surface area of the larger aquarium

is 9 times larger than the surface area of the smaller aquarium

2.

a) * Lets think about this situation

- We want to fill some office supplies boxes of side length

4.5 inches inside the shipping box of dimensions 18 in , 9 in , 4.5 in

- That means the volume of the shipping box is how many times

the volume of the office supplies box

∴ The number of office supplies boxes = the volume of shipping box ÷ the volume of the office supplies box

∵ the volume of shipping box = 18 × 9 × 4.5 = 729 inches³

∵ the volume of the office supplies box = 4.5 × 4.5 × 4.5 = 91.125 inches³

∴ The number of office supplies boxes = 729 ÷ 91.125 = 8 boxes

* There are 8 boxes of office supplies can be packed into

the larger box for shipping

b) Look to the Net of the shipping box

- The net has 6 faces shaped rectangles

- Each two faces are congruent

- To find the surface area we will add all the areas of the 6 faces

- Two faces with dimensions 18 in and 9 in

∴ Their areas = 2 (18 × 9) = 324 inches²

- Two faces with dimensions 18 in and 4.5 in

∴ Their areas = 2 (18 × 4.5) = 162 inches²

- Two faces with dimensions 4.5 in and 9 in

∴ Their areas = 2 (4.5 × 9) = 81 inches²

∴ The total surface area = 324 + 162 + 81 = 567 inches²

* The surface area of the shipping box is 567 inches²

Final answer:

The question involves calculating the surface area of a cube, drawing a net of a rectangular prism, and determining how many smaller cubes fit within the larger prism. However, required measurements are missing, making it impossible to provide exact answers to the calculations.

Explanation:

The student is tasked with answering questions related to geometry, specifically involving cubes and rectangular prisms. To find the surface area of the cube-shaped box, one would need the side length of the cube. The formula for the surface area of a cube is SA = 6s², where s is the side length. However, since the side length is not given in the question, this cannot be completed as presented.

To draw a net of a rectangular prism, you would draw six rectangles that correspond to the faces of the prism. Each rectangle would be labeled with its corresponding dimensions. Again, the specific dimensions of the container are not provided in the question.

Finally, to determine how many boxes can be packed into the larger container, you would need the volume of both the boxes and the container. The volume of each is calculated by multiplying the length, width, and height for rectangular prisms, or raising the side length to the third power for cubes. Then, divide the volume of the container by the volume of one box to find the number of boxes that can fit inside, assuming no wasted space. Without the actual dimensions, this calculation cannot be completed.

Answer: $553

Step-by-step explanation: 500(1.0016666)^60

500(1.10507451358)

552.537256789

$553

Law of sines.

The sine is a trigonometry function that is equal to the ratio of the opposite side of the given triangle and is considered to be from e right-angled triangle. The question states the start fraction for the sine in upper case A and the end fraction for lower case B. Hence the answer is given.

Answer is over c end fraction in triangle BCD, where d is equal to 3, b is equal to 5 and angled is at 25 degrees.

Find more information about the law of sins.

brainly.com/question/13773515.

By applying the Law of Sines and solving for sin(B), we find that the possible approximate measures of angle B are 45° and 135°. Therefore, the correct answer is option D.

To determine the possible measures of angle B in triangle BCD using the Law of Sines, start with the given information:

Using the Law of Sines:

Substitute the known values:

Calculate sin(25°):

Set up the equation:

Cross-multiply to solve for sin(B):

We now find B using the sine inverse function:

Thus, the possible approximate measures of angle B are 45° and 135°.

The correct answer is option D: 45° and 135°.

Complete Question:

Law of sines: In △BCD, d = 3, b = 5, and m∠D = 25°. What are the possible approximate measures of angle B?  

A.only 90°

B.only 155°

C.20° and 110°

D.45° and 135°

Answer:

Proof

Step-by-step explanation:

PROOF can be said to be logical mathematical argument in which every statement of fact is supported by a reason

due to the fact mathematical proof is an inferential argument for a mathematical statement because it help to shows that the assumptions stated logically guarantee and enables the conclusion.

Therefore Proofs can be said to be an examples of exhaustive deductive reasoning because they tend to often establish logical certainty which can be differentiated from empirical arguments which inturn help to establish reasonable and effectively expectation as well as employ logic expressed in mathematical symbols which is why proofs are often written in terms of rigorous informal logic

Answer:

Proof

Step-by-step explanation:

Answer: 20 is the answer

Answer:

5, -2,5,-2,5 Recursive

Answer:

y = -51 ÷ x

Step-by-step explanation:

The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = -3 when x = 17 and y varies inversely with x.

So we substitute the values y = -3 and x = 17 in the equation y = k ÷ x

K = constant, we have to work this out

-3 = k ÷ 17

-3 × 17 = k

k = -3 × 17

k = -51

k = -51 So then we put this back into the original y = k ÷ x to find our final equation which is y = -51 ÷ x

Answer:

x = -9

Step-by-step explanation:

3^4х = 27^(x-3)

Replace 27 with 3^3

3^4х = 3^3^(x-3)

We know that a^b^c = a^ (b*c)

3^4х = 3^(3(x-3))

Since the bases are the same, the exponents are the same

4x = 3(x-3)

Distribute

4x =3x-9

Subtract 3x from each side

4x-3x = 3x-3x-9

x = -9

Answer:

-4 4 -4 4 then the next one is it, has no effect on

Step-by-step explanation:

edge2023

Answer:

-4, 4

-4, 4

has no effect on

Step-by-step explanation:

Drag the slider to explore changing the value of a in the graph of y = asin(x).

When a = 4, the minimum is -4 and the maximum is 4.

When a = -4, the minimum is -4 and the maximum is 4.

Based on these results, changing the sign of a has no effect on the maximum and minimum values of the graph of y = asin(x).

Answer:

you mean this (5x-5)=(2x+10)right ? if yes X=5

Step-by-step explanation:

if this (5x-5)+(2x+10)=0 so X= - 5/7

Answer:7x+5

Step-by-step explanation:Add together your x’s then add together -5 and 10 to get 7x+5

Answer:

2/6 = 1/3

Step-by-step explanation:

you have a six sided dice. 2 numbers over the entire dice numbers so that would be, 2/6 which simplifies to 1/3

Have a great day!

The probability of rolling either a 3 or a 5 on a single roll of a fair six-sided die is 1/3.

To calculate the probability of rolling either a 3 or a 5 with a single roll of a six-sided die, we need to consider that there are 6 possible outcomes (the numbers 1 through 6). Since each face has an equal chance of landing face up, each single number has a probability of 1/6. When calculating the probability of rolling a 3 or a 5, we add the probabilities of these two separate events together because they are mutually exclusive outcomes.

The probability of rolling a 3 is 1/6, and the probability of rolling a 5 is also 1/6. Thus, the probability of rolling either a 3 or a 5 is given by:

(Probability of rolling a 3) + (Probability of rolling a 5) = 1/6 + 1/6 = 2/6

After simplification, the probability in its simplest form is:

1/3

Answer:

yes,it is equilateral and isosceles because all three angles measure 60°(equilateral).A triangle is isosceles if 2 angles measure the same

To model the growth of a savings account with an exponential function, we will use the formula to calculate the amount of money, A(t), accumulated after a certain number of years, t, given an initial principal amount, P, and an annual interest rate, r.

The standard formula for exponential growth in the context of compound interest is as follows:

\[ A(t) = P (1 + r)^t \]

where:
- \( A(t) \) represents the amount of money in the savings account after \( t \) years.
- \( P \) is the principal amount initially deposited into the account.
- \( r \) is the annual interest rate (expressed as a decimal).
- \( t \) represents the time in years.

For your savings account, you start with $400 (the principal amount, \( P \)), and it gains 3% interest every year (the annual interest rate, \( r \)).

Let's assign the given values to their respective variables in the formula:

- \( P = \$400 \)
- \( r = 3\% = 0.03 \) (since 3% as a decimal is 0.03)
 
Inserting these values into the formula yields the specific exponential function for this savings account:

\[ A(t) = \$400 (1 + 0.03)^t \]

This equation represents the amount of money that will be in the savings account after any number of years, \( t \), based on the continuous application of a 3% annual interest rate.

Answer:

192

Step-by-step explanation:

The balance in a bank account after 3 years with an initial deposit of $1600 and an annual interest rate of 4% is calculated using the simple interest formula. The result is a balance of $1792 after adding the interest earned to the principal amount.

The question involves finding the balance in a bank account after 3 years with an initial deposit of $1600 and an annual interest rate of 4%. This is a mathematics problem that involves the concept of simple interest.

To calculate the balance after 3 years, we can use the formula for simple interest:

Balance = Principal + (Principal × Rate × Time)

Where:

Using this information, the calculation is as follows:

Balance = $1600 + ($1600 × 0.04 × 3)

Balance = $1600 + $192

Balance = $1792

Therefore, after 3 years, the balance in the bank account would be $1792.

The exact volume of the cylinder with a 10 ft diameter and 8 ft height is found using the formula V = πr²h. With a diameter of 10 ft, the radius is 5 ft. The calculated volume is 628.318 cubic feet.

To find the exact volume of a cylinder with a diameter of 10 ft and a height of 8 ft, we can use the following formula:

V = πr²h

Where V is the volume, r is the radius of the cylinder (half of the diameter), h is the height, and π (pi) is approximately 3.14159. Since the diameter is given as 10 ft, the radius will be 5 ft (half of the diameter).

Substituting our values into the formula gives us:

V = π × (5 ft)² × 8 ft

V = 3.14159 × 25 ft² × 8 ft

V = 3.14159 × 200 ft³

V = 628.318 ft³

Therefore, the exact volume of the cylinder is 628.318 cubic feet.

Answer:

b or c

Step-by-step explanation:

being that the answers are the same it should be 100 meters/second in the same direction. you will take the initial velocity, 1000, and subtract the new velocity, 500, and divide it by time. the direction deals with acceleration and if it is flying strait with no forces acting on it to move it, it will remain strait.

Answer:

$6

Step-by-step explanation:

(3)8=24

(4)3=12

24-12=12/2=6

Answer:

√58 cm.

Step-by-step explanation:

The hypotenuse is the line AB.

Using the Pythagoras theorem:

AB^2 = 3^2 + 7^2

AB^2 = 9 + 49 = 58

AB = √58 cm.

Answer:

The answer is 7/36.

Step-by-step explanation:

First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word or says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.

Answer: For plato

1. 11/18 .

2. 5/9.

Step-by-step explanation:

The probability that the sum of the numbers rolled is either even or a multiple of 5 is   11/18 . The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is  5/9.

Answer:

Option b

Step-by-step explanation:

To convert decimeters to millimeters you have to multiply it by 100 also know as 10 by the power of 2.

Answer: it option b on the exam hope this helps

Step-by-step explanation:

To solve for x and find the measure of each angle, set up the equation (3x-45) + (2x + 15) = 90, combine like terms, and solve for x. Then, substitute the value of x back into the expressions for angle M and P to find their measure.

To solve for the value of x and find the measure of each angle, we'll use the fact that complementary angles add up to 90 degrees. So, we can set up the equation: (3x-45) + (2x + 15) = 90.

Now, let's solve for x:

3x - 45 + 2x + 15 = 90

Combine like terms: 5x -30 = 90

Add 30 to both sides: 5x = 120

Divide both sides by 5: x = 24.

Substitute the value of x back into the expressions for angle M and P to find their measure:

Angle M = (3(24) - 45) = 57 degrees

Angle P = (2(24) + 15) = 63 degrees

https://brainly.com/question/15592900

#SPJ12

Final answer:

Angles M and P are complementary, summing to 90 degrees. By setting up the equation (3x - 45) + (2x + 15) = 90 and solving for x, we find that x = 24, angle M measures 27 degrees, and angle P measures 63 degrees.

Explanation:

To solve for the value of x when angles M and P are complementary, we need to set up an equation based on the fact that the sum of complementary angles is 90 degrees. Therefore, we can write the equation as the sum of both angles: (3x - 45) + (2x + 15) = 90. After combining like terms and solving for x, we can find the measure of each angle by substituting the value of x back into the original expressions for angle M and angle P.

Write the equation for complementary angles: (3x - 45) + (2x + 15) = 90

Simplify and combine like terms: 5x - 30 = 90

Add 30 to both sides: 5x = 120

Divide by 5: x = 24

Find the measure of angle M: M = 3x - 45 = 3(24) - 45 = 27 degrees

Find the measure of angle P: P = 2x + 15 = 2(24) + 15 = 63 degrees

Thus, the value of x is 24 degrees, angle M measures 27 degrees, and angle P measures 63 degrees.

Final answer:

To find the percent of sales donated to hospitals, divide the amount donated ($286) by the total sales ($7,150) and multiply by 100, resulting in 4%.

Explanation:

The question asks to calculate what percent of the total sales was donated to the hospitals by the shoe store. To find this, we use the basic formula for calculating percent: part over total, times one hundred, equals percent. In this case, the part is the amount donated ($286) and the total is the total sales ($7,150).

So, the calculation would be: (286 / 7,150) x 100 = 4%. Thus, the shoe store donated 4% of its total sales to hospitals.

Answer:

c = 2

d = 28

Step-by-step explanation:

Please see the attached file for explanation

Answer: The radius is 5 units (approximately)

Step-by-step explanation: The area of a sector with central angle X is given as;

Area = (X/360) x pi x r^2

Since the area has been given as 15.71 units, we can input the known values into the formula as follows;

15.71 = (72/360) x 3.14 x r^2

By cross multiplication we now have

(15.71/3.14) = 1/5 x r^2

(15.71/3.14) x 5 = r^2

78.55/3.14 = r^2

25.0159 = r^2

Add the square root sign to both sides of the equation

5.001 = r

The radius is equal to 5 units (approximately)

Answer:

19

Step-by-step explanation:

f(x)=2(3^x)+1,

Let x=2

f(2)=2(3^2)+1

Exponents first

     =2 (9) +1

Then multiply

     =18+1

     =19

Answer:

19

Step-by-step explanation:

f(2) = 2(3²) + 1

= 2(9) + 1

= 18 + 1

= 19

Answer:

WHAT IS THIS QUESTION AHHH BUT 03125

Step-by-step explanation:

Answer:

Probability of 3 or less = 0.8125.

Step-by-step explanation:

This is a binomial probability distribution.

Prob(0 females) =  5C0(1/2)^5 = 0.03125

Prob(1 female) = 5C1 (1/2)^5 = 0.15625

Prob(2 females) = 5C2(1/2)^5 = 0.3125

Prob(3 females) = 5C3(1/2)^5 = 0.3125

Adding these we get 0.8125.

Answer:

the answer is d

Step-by-step explanation:

the y is always the second number in the coordinate pair and it is on the negative y-axis plain

Answer:

(0,-4)

Step-by-step explanation:

The coordinate of when the line hits the y axis is (0,-4).

Answer the answer is power if 10

Step-by-step explanation: