Mai created a scale model of a shoe store her company plans to build. the ratio of the model's dimensions to the dimensions of the actual shoe store to
be built is 1:20. if the volume of the model was 35ft 3, what is the volume of the actual shoe store that mai's company plans to build?

The standard deviation of a probability distribution must be a non-negative value. It represents the measure of the dispersion or spread of the data in the distribution. The standard deviation quantifies how much the values in the distribution deviate from the mean.

Mathematically, the standard deviation (σ) is calculated as the square root of the variance (σ^2) of the probability distribution. The variance is obtained by calculating the average of the squared differences between each data point and the mean, weighted by their respective probabilities.

The standard deviation provides important information about the shape and characteristics of the distribution. A smaller standard deviation indicates that the data points are closer to the mean, resulting in a more concentrated or less dispersed distribution. Conversely, a larger standard deviation indicates that the data points are more spread out from the mean, resulting in a wider or more dispersed distribution.

The standard deviation of a probability distribution must be a non-negative value and is a measure of the dispersion or spread of the data in the distribution.

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Answer:

(2,2)

Step-by-step explanation:

m^1= -4/3

3/2=

(2,2)

I'm positive.

Answer:

Cumulative Frequency:

The sum of all the frequencies for all classes is equal to the number of elements in the given data and that summation is termed as the cumulative frequency which defines the number of entries of that statistical data.

The sum of relative frequencies is also equal to one, since the sum of all fractional parts must equal the whole.

Step-by-step explanation:

The answer is ,the statement  that are true are: A. The small popcorn has  volume of about 25.13 cubic inches , C. The volume of two small popcorn is less than  volume of one large popcorn , E. The volume of  large popcorn is about 34.68 cubic inches greater than  volume of small popcorn (135.09 - 25.13 = 109.96).

A cone is  three-dimensional geometric shape that tapers smoothly from  flat, usually circular base to  point called the apex or vertex. The base of  cone can be any closed shape, but is usually a circle. A cone can be right or oblique, depending on whether or not the axis passing through the apex and the center of the base is perpendicular to the base.

The formula for volume of  cone are V = (1/3)πr^2h, where r is radius and h is height.

For the small popcorn cone:

radius =diameter/2 =4/2=2 inches

V = (1/3)π(2²)(6) ≈ 25.13 cubic inches

For the large popcorn cone:

radius = diameter/2 = 5/2 = 2.5 inches

V = (1/3)π(2.5²)(9) ≈ 59.81 cubic inches

Therefore, the statements that are true are:

A. The small popcorn has  volume of about 25.13 cubic inches

C. The volume of two small popcorn is less than volume of one large popcorn

E. The volume of  large popcorn is about 34.68 cubic inches greater than  volume of small popcorn (135.09 - 25.13 = 109.96)

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There are 72 possible combinations for the computer choices.For the garden combinations, since you are choosing one crop from each category, you can use the concept of multiplication to determine the total number of combinations.

Number of tomato choices = 5

Number of pepper choices = 2

Number of squash choices = 4

Total number of garden combinations = Number of tomato choices * Number of pepper choices * Number of squash choices

Total number of garden combinations = 5 * 2 * 4 = 40

Therefore, there are 40 possible garden combinations you can make.

For the computer combinations, using the same concept of multiplication:

Number of storage choices = 3

Number of memory level choices = 6

Number of processor choices = 4

Total number of computer combinations = Number of storage choices * Number of memory level choices * Number of processor choices

Total number of computer combinations = 3 * 6 * 4 = 72

Therefore, there are 72 possible combinations for the computer choices.

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Answer: financially irresponsible

Step-by-step explanation:

Kendall is buying 5 for $9.95 when she could buy 6 for $9.65 which would get her another bottle and save 30 cents

Answer:

\(\displaystyle m=0\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (8, 6)

Point (-1, 6)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

c. they are all parts of 12, and when added together they equal 11/12. The formula to solve non proportionate fractions*or with different denominators* is to CROSS multiply and make the denominators equal, then add the numerators and SIMPLIFY.

*Cross multiply to make the denominator equal (you can google how to make fractions equal)

then add the numerators together

then simplify. PLEASE BE CONSIDERATE OF THE FORMULA AND DONT BE INTIMIDATED BY THE LOOK OF THE PROBLEM. They all have the same formula or method of solving. Good Luck!! I hope this helps.

The expression which has an equivalent sum of 11/12 is 1/12 + 5/12 + 5/12

check all options:

a. 10/22 + 2/12

The lowest common multiple of 22 and 12 is 264

= (120 + 44) / 264

= 164/264

divide through by 4

= 41 / 66

b. 5/4+3/4+3/4

The lowest common multiple 4 is 4

= (5+3+3) / 4

= 11/4

c. 1/12+5/12+5/12

The lowest common multiple of 12 is 12

= (1+5+5) / 12

= 11/12

d. 5/6+6/6

The lowest common multiple of 6 is 6

= (5+6) / 6

= 11/6

Therefore, the expression which has an equivalent sum of 11/12 is 1/12 + 5/12 + 5/12

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Answer:

216 cm^2

Step-by-step explanation:

15^2 -3^2 = 225 -9

= 216

Answer:

8/a^2

Step-by-step explanation:

The required whole number, is either -19/3 or 7 which satisfied the given conditions

let us consider the whole number be x .

we have given the following

the twice a certain whole number i.e x and subtracted it from 3 times the square of the number leaves 133. Mathematically ,

3x^2 - 2x = 133

=> 3x^2 - 2x - 133 = 0

Factorize the above formula we get

=> (3x + 19)(x - 7)= 0

=> 3x + 19 = 0

=> 3x = -19

=> x = -19/3

=> x - 7 = 0

=> x = 7

Hence, possible value of x a whole number is either equal -19/3 or 7.

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To perform the indicated operation, we need to multiply the two fractions: (x² - x)/(x - 1) and (x + 1)/x. To multiply fractions, we multiply the numerators together and the denominators together. Let's multiply the numerators first:

(x² - x) * (x + 1) = x³ + x² - x² - x = x³ - x

Now, let's multiply the denominators:

(x - 1) * x = x² - x

Therefore, the result of the multiplication is:

(x³ - x)/(x² - x)

This expression cannot be further simplified, so the final answer is (x³ - x)/(x² - x).

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Assuming the shape of the balloon remains the same, the volume of the balloon is directly proportional to the cube of its height. Therefore, we can use the following proportion:

(air volume)₁ / (height)₁³ = (air volume)₂ / (height)₂³

where:

(air volume)₁ = 108 in.³ (when the height is 4 in.)

(height)₁ = 4 in.

(height)₂ = 8 in.

We can solve for (air volume)₂ as follows:

(air volume)₂ = (air volume)₁ × (height)₂³ / (height)₁³

(air volume)₂ = 108 in.³ × (8 in.)³ / (4 in.)³

(air volume)₂ = 108 in.³ × 64 / 64

(air volume)₂ = 108 in.³

Therefore, the balloon must hold 108 in.³ of air for the clown's face to be 8 in. tall.

Answer:

1: negative 26

2: posative 9

To check to see if a point is a solution to a system of two linear equations, you can plug the points into each equation. If the solution point causes the equation toequal itself, it is correct.

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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By setting up the equation and solving we get the positive number is 2/5.

A positive number is a number greater than zero. In mathematical terms, it is a number that is greater than zero on the number line. Positive numbers are often represented with a "+" sign in front of them, but this is not always necessary as the positive sign is the default and is usually omitted.

An equation is a mathematical statement that asserts the equality of two expressions. It is a statement that asserts that the two expressions on either side of the "=" sign are equal and have the same value. The expressions on either side of the "=" sign are called the left-hand side (LHS) and the right-hand side (RHS) of the equation.

For example:

2x + 3 = 7

x(2x+x/2)=x

2x^2+x^2/2=x

5x^2/2=x

5x^2=2x

5x=2

x=2/5

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\((36911.22/500) = 12x ln(1 + r)ln(36911.22/500) = 12x(0.0083333333)ln(36911.22/500) = 0\).0083333333x

Multiply both sides by 1000 and divide both sides by 0.0083333333 to get: x = 35.

Let x be the age of the person. When the person was born, their parents opened an investment account in their name and deposited $500 into the account.

Let A be the value of the investment account when the person is x years old.

The interest rate is 10% compounded monthly. Then, the monthly interest rate is

\(:r = (10/12)/100 = 0.0083333333\)

The account has earned interest for 12 * x months.

Hence, we have:

\(A = 500(1 + r)^(12x)\)

Now, we can solve for x.

A = 36911.22.

Hence:\(36911.22 = 500(1 + r)^(12x)\)

Take the natural logarithm of both sides to solve for x.

\(ln(36911.22/500) = 12x ln(1 + r)ln(36911.22/500) = 12x(0.0083333333)ln(36911.22/500) = 0.0083333333x\)

Multiply both sides by 1000 and divide both sides by 0.0083333333 to get: x = 35.

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Answer:

the solution to c- 14 < 16 is c<30

Answer: 30

Step-by-step explanation:

14 + 16 =30

Answer:

volume = 0.30 m³

Step-by-step explanation:

GIVEN:

The area of the star shaped surface of this block is 1.2m^2.

The thickness of the block is 25cm.

FIND:

What is the volume of the block?

SOLUTION:

volume = area x length

where area = 1.2 m²;   length = 0.25 m

plugin values into the formula:

volume = 1.2 m² x 0.25 m

             = 0.30 m³

therefore, the volume of the star shaped block is 0.30 m³

Answer:

change the negative to not domain and the zero to in domain

Step-by-step explanation

The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.

The z score formula is given by;`z = (x - μ) / σ`

Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.

The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`

The value of z is 1.

To find the area in the right tail, use the standard normal distribution table.

The table value for z = 1.0 is 0.8413.

Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

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Answer:

2021.

Step-by-step explanation:

The average growth rate between 2013 and 2015 was 0.35. That means it was 0.35/2 = 0.175 per year.

To find in how many years it will reach 40 million:

(40 - 39.1)/0.175 = 5.14

As we can see, it will take 5.14 years for the population to increase from 39.1 to 40 millions.

That means, in 5 years the population will not reach 40 million, but until the end of the 6th year, the population will reach.

That means the population will reach 40 million in 2021 (2015 + 6).

Answer:

m∠6 = 115; m∠5 = 115; m∠1 =  130; m∠4 = 65

Step-by-step explanation:

44.  m∠6 = 180 - 65 = 115

45. m∠5 = 180 - 65 =115

46. m∠1 = 180 - 50 = 130

47. m∠4 = 180 - (50+65) = 180 - 115 = 65

Answer:

the person below is correct

Step-by-step explanation:

hope it helped have an amazing night :)❤

The solution to the Equations is    x = 3, x = 7, x = 11,  x = -9,  x = 1.3,               x = -4, x = -4,x = -2,x = 11, x = 3.33,x = 7, x = 5,x = -4.

1. To solve 3(x+2)=15, we first distribute the 3 and get 3x + 6 = 15. Then, we subtract 6 from both sides and get 3x = 9. Finally, we divide both sides by 3 and get x = 3.

2. To solve 2(x+5)=24, we first distribute the 2 and get 2x + 10 = 24. Then, we subtract 10 from both sides and get 2x = 14. Finally, we divide both sides by 2 and get x = 7.

3. To solve 6(x-9)=12, we first distribute the 6 and get 6x - 54 = 12. Then, we add 54 to both sides and get 6x = 66. Finally, we divide both sides by 6 and get x = 11.

4. To solve 2(3x+5)= -44, we first distribute the 2 and get 6x + 10 = -44. Then, we subtract 10 from both sides and get 6x = -54. Finally, we divide both sides by 6 and get x = -9.

5. To solve 5(4x-3)=11, we first distribute the 5 and get 20x - 15 = 11. Then, we add 15 to both sides and get 20x = 26. Finally, we divide both sides by 20 and get x = 1.3.

6. To solve -3(2x+1)=21, we first distribute the -3 and get -6x - 3 = 21. Then, we add 3 to both sides and get -6x = 24. Finally, we divide both sides by -6 and get x = -4.

7. To solve -9(x-4)=54, we first distribute the -9 and get -9x + 36 = 54. Then, we subtract 36 from both sides and get -9x = 18. Finally, we divide both sides by -9 and get x = -2.

8. To solve 7(x-4)-3=46, we first distribute the 7 and get 7x - 28 - 3 = 46. Then, we combine like terms and get 7x - 31 = 46. Then, we add 31 to both sides and get 7x = 77. Finally, we divide both sides by 7 and get x = 11.

9. To solve 2(3x-1)+3=21, we first distribute the 2 and get 6x - 2 + 3 = 21. Then, we combine like terms and get 6x + 1 = 21. Then, we subtract 1 from both sides and get 6x = 20. Finally, we divide both sides by 6 and get x = 3.33.

10. To solve 2(x+1)+3x=37, we first distribute the 2 and get 2x + 2 + 3x = 37. Then, we combine like terms and get 5x + 2 = 37. Then, we subtract 2 from both sides and get 5x = 35. Finally, we divide both sides by 5 and get x = 7.

11. To solve 12+4(2x+4)=68, we first distribute the 4 and get 12 + 8x + 16 = 68. Then, we combine like terms  x = 5.

12.To solve 3x - 2(6x - 3) = 42, we first distribute the -2 and get:3x - 12x + 6 = 42,9x + 6 = 42Then, we subtract 6 from both sides:-9x = 36Finally, we divide both sides by -9 and get:x = -4Therefore, the solution to the equation is x = -4.

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The solution to the algebraic expressions are:

1. x = 3

2. x = 7

3. x = 13

4. x = -9

5. x = 1.3

6. x = -4

7. x = -2

8. x = 11

9. x = 10/3

10. x = 5

11. x = 5

12. x = -4

1. 3(x + 2) = 15,

Using distributive property, we get 3x + 6 = 15.

3x = 9

x = 9/3

x = 3

2. 2(x + 5) = 24

Using distributive property, we get:

2x + 10 = 24

2x = 14

x = 7

3. 6(x - 9) = 12

Using distributive property, we get:

6x - 54 = 24

6x = 78

x = 78/6

x = 13

4. 2(3x + 5) = -44

Using distributive property, we get:

6x + 10 = -44

6x = -54

x = -9

5. 5(4x - 3) = 11

Using distributive property, we get:

20x - 15 = 11

20x = 26

x = 1.3

6. -3(2x + 1) = 21

-6x - 3 = 21

-6x = 24

x = -4

7. -9(x - 4) = 54

Using distributive property, we get:

-9x + 36 = 54

-9x = 54 - 36

-9x = 18

x = -2

8. 7(x - 4) - 3 = 46

Using distributive property, we get:

7x - 28 - 3 = 46

7x = 77

x = 11

9) 2(3x - 1) + 3 = 21

Using distributive property, we get:

6x - 2 + 3 = 21

6x = 20

x = 20/6

x = 10/3

10) 2(x + 1) + 3x = 37

2x + 2 + 3x = 37

5x = 35

x = 5

11) 12 + 4(2x + 4) = 68

12 + 8x + 16 = 68

8x = 40

x = 5

12) 3x - 2(6x - 3) = 42

3x - 12x + 6 = 42

6 - 9x = 42

9x = -36

x = -36/9

x = -4

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The probability that one, the other, or both events occur is 0.55.

We have,

If events A and B are mutually exclusive, they cannot occur simultaneously.

Therefore, the probability of both events occurring is 0.

To calculate the probability that one, the other, or both events occur (Pr{A or B}), we can add the individual probabilities of events A and B.

Pr{A or B} = Pr{A} + Pr{B} = 0.23 + 0.32 = 0.55

Therefore,

The probability that one, the other, or both events occur is 0.55.

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