Divide. Write 5/8 as a fraction, a whole number, or a mixed number.

The number of edges that the prism has is

When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.

A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.

Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.

Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.

In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.

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The product of two random variables that follows the normal distribution with mean 0 and variance 1 is expected 0.

To compute the product of two random variables that are normal distributed with a mean of 0 and a variance of 1, the following procedure can be employed:

Thus, we can write the probability density function of the normal distribution as:

f(x) = (1/√2π) * e^(-x^2/2)

E[X] = ∫x * f(x) dx, where the integral is taken over the entire range of X.

E[Y] = ∫y * f(y) dy, where the integral is taken over the entire range of Y.

E[XY] = E[X] * E[Y]

E[X] = ∫x * f(x) dx = ∫x * (1/√2π) * e^(-x^2/2) dx = 0

E[Y] = ∫y * f(y) dy = ∫y * (1/√2π) * e^(-y^2/2) dy = 0

E[XY] = E[X] * E[Y]

= 0 * 0 ⇒ 0

Therefore, the product of two random variables that follow a normal distribution with mean 0 and variance 1 has an expected value of 0.

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Answer:

The loose candy is less per gram

Step-by-step explanation:

First find the cost of the bags

1.49 /120 grams = .012416667 per gram

Then the cost of the loose candy

.89/100 grams = .0089 per gram

The loose candy is less per gram

"The more miles a person runs, the more calories the person burns." is a direct proportionality statement, which means that if we increase one quantity, the other quantity will also increase at a proportional rate. Therefore, if a person runs more miles, he/she will burn more calories. The scatter plot that supports this statement is the one that shows a positive correlation between miles ran and calories burned.


In the scatter  plot, the data points increase as the miles ran increases. This shows a direct proportionality between the two quantities, where a person burns more calories as they run more miles.


A scatter plot is a graph that shows the relationship between two variables, usually independent and dependent variables. It displays the data points on a Cartesian coordinate plane, where the horizontal axis represents the independent variable and the vertical axis represents the dependent variable. Each point on the scatter plot shows the value of the independent variable and the dependent variable.

The more miles a person runs, the more calories the person burns, is a direct proportionality statement. This means that as one quantity increases, the other quantity also increases at a proportional rate. This statement is supported by a scatter plot that shows a positive correlation between the miles ran and the calories burned.

The positive correlation shows that there is a direct relationship between the two variables. In other words, the more miles a person runs, the more calories the person burns. The scatter plot clearly shows that the data points increase as the miles ran increases.

the scatter plot that supports the statement "The more miles a person runs, the more calories the person burns" is the one that shows a positive correlation between miles ran and calories burned. This scatter plot demonstrates that as a person runs more miles, they burn more calories.

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Answer:16

Step-by-step explanation:

The percentage of students who earn a passing grade on the exam is dependent on various factors, such as the difficulty of the exam, the quality of instruction, and the abilities of individual students.

Effective study behaviors such as reviewing notes regularly, practicing problem solving, and seeking help from instructors can lead to higher exam scores. It is difficult to determine how many more students would pass the exam if they were given quizzes at the end of each lecture, as it is influenced by various factors.

If a group of 100 students, 50 of whom quiz themselves on the material after reading, it is possible that the pass rate among those who quizzed themselves may go up, but this cannot be determined without further information and data.

Students who engage in certain effective study behaviors are more likely to perform well on exams. Reviewing notes regularly helps students reinforce their understanding of the material and retain information better. Practicing problem solving allows students to apply their knowledge to real-world scenarios and develop a deeper understanding of the subject.

Seeking help from instructors can provide students with clarification and a deeper understanding of the material, as well as help identify any areas of weakness. By engaging in these behaviors, students can build a strong foundation of knowledge, increase their confidence, and improve their performance on exams.

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Answer:

10.5

Step-by-step explanation:

v=158

l×w×h =158

l×5×3=158

l×15=158

L =158÷15=10.5

The equation that represents this situation is p = 4 + 5d

Algebraic expressions are known as mathematical expressions made up of:

From the information given, we have that:

The equation this represents is:

p = 4 + 5d

Thus, the equation that represents this situation is p = 4 + 5d

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The number of feet in the length of the handrail is 17.3 feet.

Pythagorean theorem, is a geometric theorem that the total of a squares on the sides of a right triangle equals the square upon that hypotenuse (a side opposite its right angle)—or, using familiar algebraic notation, the sum of squared on the hypotenuse equals the square also on hypotenuse.

H² = B² + P²

A spiral would be a shape that wraps around and around with each curve being higher or lower than the one before it.

Now, according to the question;

The simplest way to understand this is to assume that we may "unfold" this spiral to form a rectangle.

Its bottom part of rectangle is simply an arc length of a 3 ft radius circle spun around 270°= (3/4) of a full revolution.

Thus,

= (3/4)× (2\(\pi\)) ×(3)  

=  (9/2)×\(\pi\) ft

=   4.5×\(\pi\)  ft

The height of the staircase will be the side of rectangle = 10ft.

And the rectangle's diagonal will correspond to the length of a railing.

To solve this, we can apply the Pythagorean Theorem.

Handrail length = √ [ (4.5 ×\(\pi\))² + 10² ]  

Handrail length ≈  17.3 ft

Therefore, the the number of feet in the length of the handrail is 17.3 feet.

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The complete question is-

A spiral staircase turns 270° as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in the length of the handrail?

Answer:

y = x + 2

Slope = rise / run

= 2 / 2 (or 1 bc 2 divided by 2 is 1)

The plotted point on the x axis is on 2

y = x + 2

Answer:

2.1 < x < 2.5 seconds

Step-by-step explanation:

Answer: 8

Step-by-step explanation: divide 80 by 10 to get dimensions

The total radius of a cone with a radius of 4in and a height of 12in is 8in.

The total radius of a cone is the sum of the radius of the base and the slant height of the cone. The slant height of a cone can be found using the Pythagorean theorem, which states that the square of the slant height is equal to the sum of the square of the height and the square of the radius of the base.

So, to find the total radius of the cone, we need to calculate the slant height and add it to the radius of the base.

Slant height = sqrt(radius² + height²)

= √(4² + 12²)

= √(160)

= 12.65in (rounded to two decimal places)

Total radius = radius + slant height

= 4in + 12.65in

= 16.65in

≈ 8in (rounded to two decimal places)

Therefore, the total radius of the cone is approximately 8 inches.

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Among the available mobile device management (MDM) solutions, Enterprise Mobility Management (EMM) is the hardware-agnostic solution that supports various brands of mobile devices. Option A holds true.

EMM is a comprehensive set of tools and technologies that enable IT administrators to manage and secure mobile devices, applications, and data. EMM provides a platform for managing different types of mobile devices, such as smartphones, tablets, and laptops, irrespective of their brand or operating system. With EMM, organizations can easily enroll, configure, and manage mobile devices, apply security policies, and distribute applications to users.

EMM solutions offer features like remote wiping of devices, enforcing data encryption, and monitoring device usage. EMM solutions are designed to cater to the needs of organizations with a large number of mobile devices that require management and security. EMM solutions support various operating systems like iOS, Android, Windows, and BlackBerry, making it an ideal choice for organizations with a diverse set of mobile devices.

Option A is correct.

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The following mobile device management (MDM) solution is hardware-agnostic and supports many different brands of mobile devices: EMM (option A).

EMM (Enterprise Mobility Management) is a collection of technologies that organizations use to manage, secure, and enable employee use of mobile devices such as smartphones and tablets. It includes mobile device management (MDM), mobile application management (MAM), and mobile information management (MIM) components.

EMM provides end-to-end management of mobile devices, apps, and data, making it an essential tool for organizations that allow their employees to use personal or company-owned mobile devices for work purposes. EMM solutions allow businesses to keep corporate data safe while also enabling employees to use their preferred mobile devices for work.

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Answer:

8x + 1.75 = y

Step-by-step explanation:

Read the question and look for key words.

In this questions the key words are Each and Total.

x is for each pizza purchased and y is total cost.

The delivery charge is a one time charge so no need to add a letter because people don't buy more than one delivery charge.

Hope this helps!

option C is correct

b and c are parallel lines because they both are making equal angles at the point of intersection with line d

Answer:

the answer is c. because

95 plus 85 is equal to 180 mean its straight line

Step-by-step explanation:

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

2y - 3 < -13

Hope this helps

rand() % 6 expression is most appropriate for randomly choosing a day of the week .

Rand generates random number and This number is produced using an algorithm that, each time it is run, outputs a string of numerical values that seem unrelated.

A % B generates the number less than or equal to the B.

Therefore , for randomly choosing a day of the week we can use  rand() % 6 as there are 7 days in a week and  rand() % 6 returns any number between 0 to 6 as Total 7 days.

The best statement for choosing a day of the week at random is rand()% 6.

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Probability = (number of ways to choose 2 labs) / (total number of ways to choose 2 animals) = 36 / 136 = 9 / 34.Thus, the probability that both animals will be labs is 9 / 34.

The probability that both animals will be labs can be found by dividing the number of ways to choose 2 labs out of the total number of animals.

1. Find the total number of animals:

3 + 3 + 9 + 2 = 17.
2. Find the number of ways to choose 2 labs:

This can be calculated using combinations. The formula for combinations is\(nCr = n! / (r!(n-r)!)\), where n is the total number of items and r is the number of items to choose.

In this case, n = 9 (number of labs) and r = 2 (number of labs to choose). So, \(9C2 = 9! / (2!(9-2)!)\) = 36.
3. Find the total number of ways to choose 2 animals from the total number of animals:

This can be calculated using combinations as well. The formula remains the same, but now n = 17 (total number of animals) and r = 2 (number of animals to choose). So, \(17C2 = 17! / (2!(17-2)!)\) = 136.
4. Finally, calculate the probability:

Probability = (number of ways to choose 2 labs) / (total number of ways to choose 2 animals) = 36 / 136 = 9 / 34.
Thus, the probability that both animals will be labs is 9 / 34.

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If you choose 2 animals randomly from the shelter, there is a 9/34 chance that both will be Labrador Retrievers.

The probability of randomly choosing two Labrador Retrievers from the animals at the local animal shelter can be calculated by dividing the number of Labrador Retrievers by the total number of animals available for selection.

There are 9 Labrador Retrievers out of a total of (3 Siamese cats + 3 German Shepherds + 9 Labrador Retrievers + 2 mixed-breed dogs) = 17 animals.

So, the probability of choosing a Labrador Retriever on the first pick is 9/17. After the first pick, there will be 8 Labrador Retrievers left out of 16 remaining animals.

Therefore, the probability of choosing another Labrador Retriever on the second pick is 8/16.

To find the overall probability of choosing two Labrador Retrievers in a row, we multiply the probabilities of each pick: (9/17) * (8/16) = 72/272 = 9/34.

So, the probability of randomly choosing two Labrador Retrievers from the animal shelter is 9/34.

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We have to pull 9 marbles from the box to label the box correctly.

Given, three boxes with 10 marbles each can be black or white.

1 box has 10 black marbles, 1 box has 10 white marbles, and 1 box has mixed marbles, could be 1:9 or 5:5, 4:6, etc.

also all the boxes are labeled incorrectly.

we have to find the number of marbles we have to pull to correctly determine the proper labelling for the boxes.

as the box contain 10 marbles, and box contains mixed marbles

so, we have to pull 9 marbles to correctly label the box.

as, we have to check the 9 marbles.

Hence, we have to pull 9 marbles from the box to label the box correctly.

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Answer: To expand the expression, we can use the distributive property of multiplication:

(x+3)(x-3)(3x+2)

= (x^2 - 9)(3x+2) // using (a+b)(a-b) = a^2 - b^2

= 3x(x^2) + 2(x^2) - 9(3x) - 18 // using FOIL

= 3x^3 + 2x^2 - 27x - 18

This is the expanded form of the expression.

To simplify further, we can factor out the greatest common factor of the terms:

= 3(x^3 - 9x) + 2(x^2 - 9)

= 3x(x^2 - 9) + 2(x^2 - 9)

= (3x+2)(x^2 - 9)

= (3x+2)(x-3)(x+3)

So, the simplified expression is (3x+2)(x-3)(x+3).

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Answer:

Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units

               = \(\sqrt{(-4)^{2} + (3)^{2} }\) units

               =\(\sqrt{25}\) units

               = 5 units

Based on the statements provided, Barry will a have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.

Logical reasoning in mathematics is the process of using rational and critical thinking abilities to arrive at a conclusion about a problem.

Since Barry have at least one dog breed, the possible breeds of dogs that Barry have can be determined as follows:

Statement 1: If I have a Labrador but not a Staffie, I also have a Collie

Statement 2: I either have both a Collie and a Staffie or neither.

Statement 3: If I have a Collie, then I also have a Labrador.

Therefore, Barry will have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.

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The value of that makes the volume of the parallelepiped with edges oa, ob, and oc equal to 3 units is  α = 1

The volume of a parallelopiped with sides a, b and c is V = a.(b × c)

Now, consider the parallelepiped with edges oa, ob, and oc, where a(2,1,0), (1,2,0), and c(0,1,α). To find the real number α>0 such that the volume of the parallelepiped is 3 units, we proceed as follows.

We know that the volume of the parallelopiped with sides a, b and c is  a.(b × c) where

Now  a.(b × c) =det \(\left[\begin{array}{ccc}2&1&0\\1&2&0\\0&1&\alpha \end{array}\right]\)

So,  a.(b × c) = 2(2 × α - 1 × 0) - 1(1 × α - 0 × 0) + 0(1 × 1 - 2 × 0)

= 2(2α - 0) - (α - 0) + 0(1 - 0)

= 2(2α) - (α) + 0(1)

= 4α - α + 0

= 3α + 0

= 3α

Now since the volume of the parallelopied is 3 units, we have that

a.(b × c) = 3

3α = 3

α = 3/3

α = 1

So, α = 1

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Step-by-step explanation:

solution shown in picture

Answer:

b is the right answer to this question

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

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