An 8-sided die, numbered 1 to 8, is rolled. Find the probability that the roll
results in an even number or a number greater than 6.

answer:

the answer I'd 2and 2 5ths

Answer:

The red marbles.

Step-by-step explanation:

It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.

Answer:

x=\(\frac{1}{12}\)

Step-by-step explanation:

1/2x - 5 = 10 - 3/4x

4x/2x - 5 × 4x = 10 × 4x - \(\frac{3 x 4x}{4x}\)

2 -5 × 4x = 10 × 4 - 3

2 - 20x = 40x - 3

-20x - 40x = -3 - 2

-60x = -3 - 2

-60x = -5

x = \(\frac{-5}{-60}\)

x = \(\frac{1}{12}\)

Answer:

( − ∞ , ∞ ) , { x | x∈ R }

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The maximum possible side length of the base of the building is; C: 71 feet.

The given parameters of the new building in the shape of a square pyramid that is to be constructed are as follows:

Base is expressed as b

Slant height (l) is expressed as 5b

The lateral surface area of the square pyramid is calculated from the formula given as;

LSA = 2bl

Thus, the lateral surface area is expressed as;

L = 2 * b * 5b

L = 10b²

The total surface area is calculated using the formula:

T = L + b²

Thus, plugging in the value of 10b² for L gives the total surface area as;

T = 10b² + b²

T = 11b²

The maximum surface area is 50,000 square feet and so we can find b from the following expression;

11b² = 50000

Divide both sides of the equation by 11 to get;

b² = 50000/11

b = √(50000/11)

b =  71 feet to the nearest foot.

Read more about Pyramid side length at; https://brainly.com/question/22744289

#SPJ1

Using elimination method, the solution of the given system of equations is (-1, -2)

A system of equations can be solved using:

The given system of equations is:

8y + 10 = 6x   ..... (1)

8y - 4x = -12   ...... (2)

Re-arrange equation (1) to

8y - 6x = -10   ........ (3)

To eliminate variable y, subtract equation (3) from equation (2):

8y - 4x = -12

8y  - 6x = -10 –

      2x  = -2

         x = -1

Substitute  x = -1 into equation (2)

8y - 4x = -12

8y - 4. (-1) = -12

8y + 4 = -12

Add (-4) to both sides:

8y = -16

 y = -2

Hence, the solution is (-1, -2)

Learn more on how to solve system of equation here:

https://brainly.com/question/27815607

#SPJ4

Answer:

3) m∡ACB = 40 m∡ABC = 63

4) m∡BCA = 14 m∡ABC = 83

Step-by-step explanation:

Since DE is a line it has 180 degrees so:

103 + CAB = 180

CAB = 77 degrees

All triangle interior angles of a triangle add up to 180 degrees, so:

BAC + ACB + CBA = 180

3x - 14 + 3x + 9 + 77 = 180

6x + 72 = 180

6x = 108

x = 18

Plug in your values:

3(18) - 14 = 40

3(18) + 9 = 63

Use the same method for the next problem.

Answer:

• BC = 7√5 units.

• m∠B=41.8°

• m∠C=48.2°

Explanation:

First, find the length of the third side, BC using the Pythagorean theorem.

The length of the third side, BC is 7√5 units.

(b)Next, find the measure of angle B.

• The side length ,opposite, B = 14

• The length of the ,hypotenuse, = 21

From trigonometric ratios:

The measure of angle B is 41.8 degrees.

(c)Finally, find the measure of angle C.

In a right triangle, the sum of the two acute angles is 90 degrees, therefore:

The measure of angle C is 48.2 degrees.

Answer:

obtuse and isosceles

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Given the following :

7 heart stickers and 14 star stickers :

The greatest number of pages that can be decorated using the stickers above without any left over ;

To get this we obtain the greatest common factor of 7 and 14

Factors of 14

14 : 1, 2, 7, 14

Factors of 7

7 : 1, 7

The greatest factor common in both numbers is 7

Hence, greatest number of pages that can be decorated without any leftover is 7

Answer:

no sorry

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Cube root of 8/125

Answer:

Penelope worked 5 hours.

Sarah worked 10 hours.

Step-by-step explanation:

Let's start by setting up some equations to represent the given information:

Let x be the number of hours Penelope worked.

Then Sarah worked 2x hours.

The total number of shirts they ironed is given by:

30(2x) + 35x = 475

Simplifying and solving for x:

60x + 35x = 475

95x = 475

x = 5

So Penelope worked 5 hours.

And Sarah worked 2x = 2(5) = 10 hours.

p = 5

So Penelope worked 5 hours.

And since Sarah worked twice as many hours, she worked:

2p = 2(5) = 10

So Sarah worked 10 hours.

Answer:

True

Step-by-step explanation:

If the natural numbers other than one is squared, it should be either a multiple of 3 or exceeds a multiple of 3 by 1

A 5-gallon container of water weighs approximately 41.7 pounds (18.9 kilograms). This is because water has a density of 1 kilogram per liter or 8.34 pounds per gallon. Therefore, a 5-gallon container holds 18.9 liters of water, which weighs 18.9 kilograms or 41.7 pounds.

A gallon of water is equivalent to 8.34 pounds of water. So 5-gallon of water is equivalent to

= 5 * 8.34

= 41.70

A gallon of water is equivalent to 3.78 litres of water. So 5-gallon of water is equivalent to

= 5 * 3.78

= 18.90

A litre of water is equivalent to 1 kilogram of water. So 18.90 litres of water is equivalent to

= 18.90 * 1

= 18.90

To know more on gallon

https://brainly.com/question/1462470

#SPJ4

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

To know more about differential equation:

https://brainly.com/question/2273154

#SPJ4

Answer:

1.75 or about 1 cup of ice cream

Step-by-step explanation:

Well, we first have to figure out how many cups of ice cream are in a quart. (There are 4 cups in a quart) So know we have to divide 4 into 7 that will give you 1.75 so each family would get approximatley 1.75 cups of ice cream. That is if it is talking about specifically  how much ice cream but you could also say about a cup

Given:

5, 11, 2, 12, 4, 2

Required:

To find the mean of the given numbers.

Explanation:

Consider the given numbers

5, 11, 2, 12, 4, 2

Now the mean is

Final Answer:

The mean is 6.

When an organization with a functional structure diversifies into related product-markets, it generally maintains its functional structure.

In a functional structure, the organization is organized based on specialized functions such as marketing, finance, operations, and human resources. Each function operates independently, and decisions are made within each functional unit. When diversifying into related product-markets, the organization can leverage its existing functional expertise to support the new product lines or markets.

Maintaining the functional structure allows the organization to retain the benefits of specialization and efficiency within each function. It also enables the organization to capitalize on the existing knowledge, skills, and resources of each functional area, ensuring a smoother transition into new product-markets.

This approach minimizes disruption and allows the organization to effectively manage the integration of new product lines while maintaining focus on core competencies. By leveraging the existing functional structure, the organization can adapt and respond to the specific requirements of each product-market while maximizing operational efficiency.

Learn more about leverage here:

https://brainly.com/question/30469369

#SPJ11

The fraction -(13/10) × 6 is equal to the mixed fraction -7 whole number 4 divided by 5.

From the given fracion;

-(13/10) × 6 = -[13/(2×5)] ×2 × 3

we divide the common factor 2 for 10 and 6

-(13/10) × 6 = -(13/5) × 3

multiply the numerators

-(13/10) × 6 = (-13×3)/5

-(13/10) × 6 = -39/5

divide -39 by 5

-(13/10) × 6 = -7 whole number, 4/5 in mixed fraction

Therefore, the mixed fraction for -(13/10) × 6 is -7 4/5.

Learn more about mixed fraction here: https://brainly.com/question/21610929

#SPJ1

text mentions a scale model... wich we can't see here unless you post it

Answer:

y = -2/3x + 6

Step-by-step explanation:

Create our equation.

y = -2/3x + b

Since the point is (3, 4), we substitute those values.

4 = -2/3(3) + b

4 = -2 + b

Add 2 on both sides.

b = 6

Now that we have b, substitute b in our initial equation.

y = -2/3x + 6

The total cost of buying 8 apples at $12 each, followed by additional apples at $10 each (with a $2 decrease), depends on the number of additional apples purchased.

Sara's mother initially charges $12 per apple. However, after Sara buys 8 apples, the cost of each subsequent apple decreases by $2.

For the first 8 apples, the cost remains at $12 per apple. So the total cost for these 8 apples is:

8 apples * $12/apple = $96.

After buying these 8 apples, the cost per apple decreases by $2. So, let's assume Sara buys additional apples at the reduced price:

Let's say she buys "n" additional apples. The cost of each additional apple would be $12 - $2 = $10.

Therefore, the total cost of the additional "n" apples would be:

n apples * $10/apple = $10n.

The overall total cost of all the apples, including the first 8 apples, can be calculated as the sum of the costs of the initial 8 apples and the additional "n" apples:

Total cost = $96 + $10n.

To know more about total cost refer here

https://brainly.com/question/6506894#

#SPJ11

On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

For more details about waiting time

https://brainly.com/question/24168195

#SPJ4

The temperature on the 9th day is 77 degrees Fahrenheit.

Let's break down the given information and solve the problem step by step. Ushar recorded the temperature outside his home for 9 consecutive days. The average temperature of these 9 days is 79.

We are also given that the average temperature of the first two days is 75 and the average temperature of the next four days is 87.

Let's calculate the sum of the temperatures for the first two days. Since the average temperature is 75, the totWhat is the temperature on the 9th day?al temperature for the first two days would be 75 * 2 = 150.

Similarly, let's calculate the sum of the temperatures for the next four days. Since the average temperature is 87, the total temperature for the next four days would be 87 * 4 = 348.

Now, we can calculate the sum of the temperatures for all nine days. Since the average temperature of all nine days is 79, the total temperature for nine days would be 79 * 9 = 711.

To find the temperature on the 8th day, we need to subtract the sum of the temperatures for the first two days and the next four days from the total sum of temperatures for nine days. So, 711 - 150 - 348 = 213.

We are given that the temperature on the 8th day is 5 more than that of the 7th day and 1 more than that of the 9th day. Let's call the temperature on the 9th day "x."

So, the temperature on the 8th day is x + 5, and the temperature on the 9th day is x.

We know that the sum of the temperatures for the 8th and 9th days is 213. So, we can set up an equation: (x + 5) + x = 213.

Simplifying the equation, we have 2x + 5 = 213.

Subtracting 5 from both sides, we get 2x = 208.

Dividing both sides by 2, we find that x = 104.

Therefore, the temperature on the 9th day is 104.

Learn more about temperature

brainly.com/question/7510619

#SPJ11

The probability that a nurse's salary is less than $45,951 is approximately 0.0197, according to the data given. In other words, the probability of a nurse's salary being less than $45,951 is only 1.97%.

The given normal distribution data is:

Mean = 56,310 dollars.

Standard deviation = 5,038 dollars.

We have to find and interpret P(x < 45, 951).

The z-score formula is used to find the probability of any value that lies below or above the mean value in the normal distribution.

\(z = (x - μ)/σ\)

Here,

x = 45,951   μ = 56,310    σ = 5,038

Substituting the values in the above formula,

\(z = (45,951 - 56,310)/5,038z = -2.0685 (approx)\)

The P(x < 45, 951) can be found using the normal distribution table.

It can also be calculated using the formula P(z < -2.0685).

For P(z < -2.0685), the value obtained from the normal distribution table is 0.0197.

To know more about  normal distribution please visit :

https://brainly.com/question/23418254

#SPJ11

The triangles AEB and DEC describes AA similarity .

What is AA Similarity ?

Two triangles are said to be congruent by AA Similarity when two angles in one triangle are congruent to two angles in another triangle .

In the question ,

a figure is given .

in triangle AEB and triangle DEC ,

we can see that ,

∠AEB ≅ ∠DEC    ,   because they are vertically opposite angles .

On rotating triangle CED by  180° around the point E, then the translate point D to point A confirms  ∠EAB ≅ ∠EDC.

Since two angles are Congruent

So , By AA Similarity , triangles AEB and DEC are Congruent .

Therefore , the triangles AEB and DEC are Congruent .

The given question is incomplete , the complete question is

Which of the following triangles in the given figure describes AA similarity ?

Learn more about Similarity here

https://brainly.com/question/27884002

#SPJ4

Answer:

270\(\sqrt{3}\) cm³

Step-by-step explanation:

A regular hexagon can be cut into 6 equilateral triangles.

The area (A) of an equilateral triangle can be calculated as

A = \(\frac{s^2\sqrt{3} }{4}\) ← where s is the side length, here s = 6

A = \(\frac{6^2\sqrt{3} }{4}\) = 9\(\sqrt{3}\) cm² ← multiply by 6

area of base = 6 × 9\(\sqrt{3}\) = 54\(\sqrt{3}\) cm²

The volume (V) of the prism is calculated as

V = area of base × height = 54\(\sqrt{3}\) × 5 = 270\(\sqrt{3}\) cm³