Please help! Will give good rating.

Dot Plot Data:
20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24
Which measure of center would best describe a typical
value of the data set? Why?
_______would be best,
because the data distribution is ______.

fill in the blank options:
1) The mean, Neither the mean nor median
2) Nearly symmetrical, neither symmetrical nor skewed​

Answer:

11

Step-by-step explanation:

8.7A+10=105.7

8.7A=95.7

A=11

Answer:

10 Yards

Step-by-step explanation:

In every yard there is 3 feet

If you have 30 feet you have ____ yards

Divide 30 by 3 to get 10 yards!

Hope this Helps!

Answer:

The volume in terms of π is 144 ft³

The volume rounded to the nearest tenth is 452.4 ft³

Step-by-step explanation:

The formula of the volume of a cone is V = [tex]\frac{1}{3}[/tex] π r² h , where r is its radius and h is its height

The formula of the area of a circle is A = π r²

∵ The area of the base of the cone is 36π ft²

- Equate the formula of the area of the circle by 36π to find r

∵ πr² = 36π

- Divide both sides by π

∴ r² = 36

- Take √ to both sides

∴ r = 6 ft

∵ The height of the cone is equal to twice the radius

∵ The radius of the cone is 6 ft

- Multiply 6 by 2 to find the height

∴ h = 2(6) = 12 ft

∴ The height of the cone is 12 ft

Substitute the values of h and r in the formula of the volume of the cone to find it

∵ V = [tex]\frac{1}{3}[/tex] π(6)²(12)

∴ V = 144 π ft³

∴ V = 452.3893421 ft³

- Round it to the nearest tenth

∴ V = 452.4 ft³

Answer

y = 2(x - 8)(x + 2)

Step-by-step explanation:

A(x - 8)(x + 2)

A × -8 × 2 = -32

-16A = -32

A = 2

y = 2(x - 8)(x + 2)

Answer:

the answer is 3.71

Step-by-step explanation:

Answer:

3.71428571429

Step-by-step explanation:

Answer:

  84.5 cubic meters

Step-by-step explanation:

You want the volume of a pyramid with a base area of 42.25 m² and a height of 6 m.

The formula for the volume of a pyramid is ...

  V = 1/3Bh

Using the given values, we find the volume to be ...

  V = 1/3(42.25 m²)(6 m) = 84.5 m³

The volume of the pyramid is 84.5 cubic meters.

Answer: -2

Step-by-step explanation:

Because I know

Answer: (A) The longer side in the rectangle is 45 units.

(B) The line LP measures 14 cm.

Step-by-step explanation: In the rectangle, two sides are given as 2x and 3x + 3, respectively. The perimeter is also given as 146 units. The formula to determine the perimeter is

Perimeter = 2(L + W)

We can now substitute for the values

146 = 2(2x + 3x + 3)

146 = 2(5x + 3)

146 = 10x + 6

Subtract 6 from both sides of the equation

140 = 10x

Divide both sides of the equation by 10

14 = x

With the value of x now known as 14, the sides of the rectangle are,

L = 2x

L = 2 x 14

L = 28

And the other side is

W = 3x + 3

W = 3(14) + 3

W = 42 + 3

W = 45

Therefore the longer side is 45 units.

In question B;

The rhombus has all sides congruent as one of its properties. This simply implies that the diagonal from point M to point O, is the same length as the diagonal from point L to point N. Hence, at point P, where both diagonals intersect, both diagonals are divided into two equal lengths each. If line LN is 28 cm, then line LP which is half of LN shall be 28 divided by 2, and that gives us 14 cm.

Answer:

3 ft by 4/3 feet.

Step-by-step explanation:

We have been given that a card is 9 inches by 4 inches. A printing shop will enlarge it so that the longer side is any lengths up to 3 ft. We are asked to find the dimensions of biggest enlargement.

We will use proportions to solve our given problem.

[tex]\frac{\text{Card width}}{\text{Card length}}=\frac{\text{Enlarged width}}{\text{Enlarged length}}[/tex]

Upon substituting our given values, we will get:

[tex]\frac{\text{4 inches}}{9 \text{ inches}}=\frac{\text{Enlarged width}}{\text{3 ft}}[/tex]

[tex]\frac{4}{9}=\frac{\text{Enlarged width}}{\text{3 ft}}[/tex]

[tex]\frac{4}{9}\times \text{3 ft}=\frac{\text{Enlarged width}}{\text{3 ft}}\times \text{3 ft}[/tex]

[tex]\frac{4}{3}\times \text{ft}=\text{Enlarged width}[/tex]

Therefore, the dimensions of the biggest enlargement  would be 3 ft by 4/3 feet.

Answer:

7.5 gallons

Step-by-step explanation:

2^-3= 0.125

0.125*60= 7.5

Final answer:

The gas pump fills 7.5 gallons of gasoline in one minute.

Explanation:

If a gas pump fills 2-3 gallon of gasoline per second, we first need to understand how much that is in gallons. 2-3 is the same as 1/23 or 1/8. Therefore, the pump fills 1/8 gallon per second.

To find out how many gallons the pump fills in one minute, we multiply the amount filled per second by the number of seconds in a minute:

Gallons per minute = gallons per second × seconds per minute

Gallons per minute = 1/8 gallon/second × 60 seconds/minute

Gallons per minute = 60/8 gallons

By reducing this fraction, we get:

Gallons per minute = 7.5 gallons

Thus, the gas pump fills 7.5 gallons of gasoline in one minute.

Answer: The modes of that set of data are both 8 and 2

Step-by-step explanation: The mode is the number that appears most often in a data set and 8 and 2 are the only number that appear more than once in that set of data

Answer:

8 and 2

Step-by-step explanation:

I got this for a quiz and the answer was 8 and 2.

Answer:

b and d

Step-by-step explanation:

Answer:

1. Subtract starting value minus final value.

2.divide that amount by the absolute value of the starting value.

3. Multiplt by 100 to get a percent decrease.

4. if the percentage is negative, it means there was an increase and not an decrease

Answer:

Step-by-step explanation:

A percent of increase (or decrease) is a ratio of the amount of increase (or decrease) to the original amount. To find the percent of increase (decrease): Determine the amount of increase (or decrease). Divide this result by the given original amount.

Answer:

the measure of angle x is 80

Step-by-step explanation:

Answer: I believe the answer is 9 days.

Step-by-step explanation: 16 divided by 1.75 (1 and three-fourths) is equal to 9.143, which is only enough to feed him 9 full days.

Answer:

The answer to your question is 9 days.

Step-by-step explanation:

Data

Food needed = 1 3/4 cups

Total food = 16 cups

Number of days = ?

Process

1.- Convert the mixed fraction into an improper fraction

              1 3/4 = (4 + 3)/4 = 7/4

2.- Divide the total food by the food needed

              16/1 ÷ 7/4 = 64/7

-Simplify                     9        Quotient

                          7   64

                                 1          Remainder

3.- Mark can feed his dog 9 days and there will be 1/7 of the bag left.

Answer:

8 × 7

Step-by-step explanation:

(4 × 2) × 7

We can multiply what is inside the parentheses

(8) × 7

Answer:

8*7

Step-by-step explanation:

Multiply what is inside the parentheses first, (PEMDAS)

(4*2)*7

8*7

Hope this helps! :)

Answer: 260 downloads of the standard version were there.

Step-by-step explanation:

Let x represent the number of downloads of the standard version.

Let y represent the number of downloads of the high-quality version.

Yesterday, the high-quality version downloaded four times as often as the standard version. It means that

y = 4x

The size of the standard version is 2.9 megabytes (MB). the size of the high-quality version is 4.6 MB. the total size downloaded for the two versions was 5538 MB. It means that

2.9x + 4.6y = 5538- - - - - - - - - - - -1

Substituting y = 4x into equation 1, it becomes

2.9x + 4.6 × 4x = 5538

2.9x + 18.4x = 5538

21.3x = 5538

x = 5538/21.3

x = 260

Final answer:

To determine the number of standard version song downloads, we set up and solved a system of linear equations. We found that the standard version was downloaded 260 times.

Explanation:

The student's question involves solving a system of linear equations to find out how many times the standard version of a song was downloaded. We have two versions of a song: a standard version (2.9 MB) and a high-quality version (4.6 MB). We are told that the high-quality version was downloaded four times as often as the standard version and that the total size downloaded was 5538 MB. To solve this, we set up two equations:

Let x represent the number of standard version downloads, and 4x represent the number of high-quality version downloads.

The total size equation would be 2.9x + 4.6(4x) = 5538

Combining like terms and solving for x, we have:

2.9x + 18.4x = 5538

21.3x = 5538

x = 5538 / 21.3

x = 260

So, there were 260 downloads of the standard version of the song.

Answer: 1.6x + 1.75y ≤ 10

Step-by-step explanation:

Let x represent the number of pounds of strawberries that Joey can buy.

Let y represent the number of pounds of raspberries that Joey can buy.

Strawberries cost $1.60 per pound and raspberries cost $1.75 per pound. It means that the cost of x pounds of strawberry and y pounds of raspberry is expressed as

1.6x + 1.75y

if she only has $10 to spend on berries, then the inequality that can be used to represent the situation is

1.6x + 1.75y ≤ 10

The solution set is where the black dot is located, which is on the number 5.

The solution would be 5

Answer:

Step-by-step explanation:

If the columns span R^6, this says that every b in R^6 is in the span of the columns, which is another way of saying that any b is a linear combination of the columns. Then the equation is consistent for some b or all b in R^6.

If an augmented matrix can be transformed by elementary row operations into reduced echelon form, then the equation Ax = b is consistent.

Any matrix can be transformed by elementary row operations into reduced echelon form, but not every matrix equation Ax = b is consistent

For example, after echelon reduction we have

1 6. 7. 8. 8.

0 1. 5. 4. 9

0. 0. 1. 3. 6

0. 0. 0. 1. 6.

0. 0. 0. 0. 1

0. 0. 0. 0. 0

In this case, the matrix doesn't have a solution, then the matrix is inconsistent

But if the matrix echelon reduction gives

1 6. 7. 8. 8.

0 1. 5. 4. 9

0. 0. 1. 3. 6

0. 0. 0. 1. 6.

0. 0. 0. 0. 1

0. 0. 0. 0. 1

Then, the system have a solution but not unique, the system have a solution for some b in R^6.

Then, the solution is II and III

So the correct option is D.

Answer:

nasnsnnsksksososcc. dddeneoenen dodndodn end

Answer: the surface area of the larger cylinder is 16 times that of the smaller cylinder.

Step-by-step explanation:

The formula for determining the total surface area of a cylinder is expressed as

Total surface area = 2πr² + 2πrh

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant

Considering the larger cylinder,

radius = 8 cm

Height = 12 cm

Therefore,

Total surface area = (2 × π × 8²) + (2 × π × 8 × 12)

= 128π + 192π = 320π

Considering the smaller cylinder,

Total surface area = 56π

radius = 8/4 = 2cm

Height = 12/4 = 3 cm

Therefore,

Total surface area = (2 × π × 2²) + (2 × π × 2 × 3)

= 8π + 12π = 20π

Ratio of the surface area of the larger cylinder to the smaller cylinder is

320π/20π = 16

Answer:

Alex has 110 shells

Benji has 132 shells

Carmen has 66 shells

Step-by-step explanation:

In this question, we are tasked with calculating the number of shells each of the friends have.

We proceed as follows;

Since Alex is the linking point between the other two friends, we say that let the number of shells Alex has be A

Now, Benji has 20% more shells

This mathematically means that the number of shells owned by Benji = (20% × A) + A = 0.2A + A =  1.2A

Carmen has 40% fewer shells than Alex;

Mathematically, this means that the number of shells owned by Carmen is A - (40% × A) = A - 0.4A = 0.6A

To find A, we simply add all together and equate to 308

Mathematically, we have;

A + 1.2A + 0.6A = 308

2.8A = 308

Divide both sides by 2.8

A = 308/2.8

A = 110

This means Alex has 110 shells

Benji has 1.2A = 1.2 × 110 = 132 shells

Carmen has 0.6A = 0.6 × 110 = 66 shells

Answer: 130 degree

Step-by-step explanation:

Given that

The distance from

Dallas to Charleston = 980 miles Charleston to Indianapolis = 595 miles,

Indianapolis to Dallas is 764 mies.

If Dallas and Charleston lie on the same latitude, find the bearing from Charleston to Indianapolis.

Let us use cosine formula to find the angle at Charleston

764^2 = 980^2+595^2-2(980)(595)cosØ

583696 = 1314425-1166200cosØ

-1166200cosØ = -730729

CosØ = 0.6266

Ø = 51.2

Let us also calculate the angle at Indianapolis by using sine rule

980/sinI = 764/sin 51.2

Reciprocal both sides

SinI/980 = sin 51.2/764

Sin I = 980 × sin52.1/764

Sin I = 0.9996

I = 88.5 degree

The bearing = 270 - ( 51.2 + 88.5)

= 270 - 140

= 130 degree.

In this exercise we have to use the knowledge of triangles to calculate the angle of this geometric figure, in this way we can say that:

130 degree

Given that the distance from dallas to Charleston and Charleston to Indianapolis and Indianapolis to Dallas, we can use the the cosine formula to find the angle at Charleston, so we have:

[tex]764^2 = 980^2+595^2-2(980)(595)cos\phi\\583696 = 1314425-1166200cos\phi\\-1166200cos\phi = -730729\\Cos\phi = 0.6266\\\phi = 51.2[/tex]

Let us also calculate the angle at Indianapolis by using sine rule:

[tex]980/sin\theta = 764/sin (51.2)\\Sin\theta/980 = sin 51.2/764\\Sin\theta = 980 * sin52.1/764\\Sin \theta = 0.9996\\\theta = 88.5 degree = 270 - ( 51.2 + 88.5)\\= 270 - 140\\= 130 degree.[/tex]

See more about triangles at brainly.com/question/2269348

Answer: it will take the larger hose 37.5 minutes to fill the pool.

Step-by-step explanation:

Let t represent the number of minutes it will take the larger hose to fill the pool by itself. It means that the rate at which larger hose fills the pool per minute is 1/t

It takes the smaller hose twice as long to fill the swimming pool as it does the larger hose. It means that the number of hours it takes smaller hose to fill the pool is 2t and it fills it alone, then the rate at which it fills the pool per minute is 1/2t

By working together, they would work simultaneously and their individual rates are additive. It takes both hoses working together 25 minutes to fill the pool. It means that the rate at which they fill the pool together per minute is 1/25. Therefore,

1/t + 1/2t = 1/25

3/2t = 1/25

Cross multiplying, it becomes

2t = 3 × 25 = 75

t = 75/2 = 37.5 minutes

Final answer:

To find the time it takes for the larger hose to fill the pool alone, we set up an equation based on their combined work rate and solve for the larger hose's time, finding that it would take 75 minutes.

Explanation:

The question is about determining how long it will take for the larger hose alone to fill the pool, given that it takes twice as long for a smaller hose to complete the same task, and together they can fill the pool in 25 minutes. To solve this problem, let's denote the time it takes for the larger hose to fill the pool by itself as x minutes. Therefore, the smaller hose takes 2x minutes to fill the pool by itself.

Since the problem involves rates of work, we can use the formula Work done = Rate × Time. The rate can be considered as the portion of the pool filled per minute. So, the larger hose's rate is 1/x and the smaller hose's rate is 1/(2x). Working together, their combined rate is 1/25 of the pool per minute, following the equation 1/x + 1/(2x) = 1/25.

By solving this equation: 2/2x + 1/2x = 1/25 ⇒ 3/(2x) = 1/25 ⇒ x = 75. Therefore, it would take the larger hose 75 minutes to fill the pool by itself.

Answer:

Each Exterior Angle = (360 degrees) ÷ (Number of Sides)

Each Exterior Angle = 360 / 30

Each Exterior Angle = 12 degrees

Step-by-step explanation:

The measure of each exterior angle of a regular 30-gon will be 12°.

Based on the information, it should be noted that the value of the total angles will be 360°.

Therefore, the measure of each exterior angle of a regular 30-gon will be:

= 360/30

= 12°

Therefore, the measure of each exterior angle of a regular 30-gon is 12°.

Read related link on:

https://brainly.com/question/11024992

Answer:

Row 2

Step-by-step explanation:

6+5+3+0+4=16

4+5+3+5+6=23

7+1+4+5+3=20

4+2+5+6+3=20

23 is bigger than all of those so it would be row two.

Answer:

Row 2

Explanation:

Answer:

2/3

Step-by-step explanation:

To know the fraction of men over women, we just need to divide the total number of men in the academy by the total number of women in the academy. So, we have that:

Fraction = men / women = 24 / 36 = 2/3

So the fraction we want to know is 2/3, that is, for every 2 men, there are 3 women in the academy.

Answer:

Step-by-step explanation:

Let the no of cars be x and no of buses be y.

x + y = 60 -> y = 60 - x

6x + 30y = 600

with the available equations let us calculate the values of x and y.

6x + 30 * (60-x) = 600

6x + 1800 - 30x = 600

24x = 1200

x cars = 50

y buses = 10

maximum profit = 50 * 2.5 + 10 * 7.5 = $200

a) The objective function to maximize profit is: 2.5C + 7.5B using constraints 6C + 30B ≤ 600 and C + B ≤ 60. b) The parking lot should accept 50 cars and 10 buses to maximize profit. The maximum profit will be $200.

We need to set up a linear programming model to maximize profit from parking cars and buses.

A. Model Formulation:

Let C represent the number of cars and B represent the number of buses.

Objective Function: Maximize Profit = 2.5C + 7.5B

Constraints:

B. Solution:

First, we convert the inequalities to equations and solve:

We solve these equations simultaneously:

1. C + 5B = 100 (Equation 1)

2. C + B = 60 (Equation 2)

Subtract Equation 2 from Equation 1:

(C + 5B) - (C + B) = 100 - 60

⟶ 4B = 40 ⟶ B = 10

From Equation 2, we get:

C + 10 = 60 ⟶ C = 50

Maximum Profit Calculation:

Substituting C = 50 and B = 10 into the objective function:

Profit = 2.5(50) + 7.5(10) = 125 + 75 = 200

Therefore, to maximize profit, the attendant should accept 50 cars and 10 buses.

Maximum profit is $200.

Complete question:

The area of a parking lot is 600 square meters. A car requires 6 square meters. A bus requires 30 square meters. The attendant can handle only 60 vehicles. If a car is charged $2.50 and a bus $7.50. How many of each should be accepted to maximize Profit?

a. Set up for the solution of this Linear Programming (LP) problem.

b. Using part (a), how many of each should be accepted to maximize Profit? What is the maximum profit?