equivalent ratio of given ratio to form​

To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:

((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees

Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:

120 / 2 = 60 degrees

Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

Learn more about angle here:

https://brainly.com/question/31818999

#SPJ11

By using the formula of curved surfaced area of cylinder, it can be calculated that-

Height of the cylinder = 3.18 cm

What is curved surface area of cylinder?

Curved surface area of cylinder is the space occupied by the curved surface of the cylinder.

If r is the radius of the cylinder and h is the height of the cylinder, then curved surface area of cylinder is calculated by the formula

Curved surface area of cylinder = 2\(\pi\)rh

Let the height of the cylinder be h cm

Radius = 5 cm

Curved surface area = 2\(\pi\)rh

                                  = \(2\times \frac{22}{7}\times 5 \times h\)

                                  = \(\frac{220}{7}h\)

By the problem,

\(\frac{220}{7}h = 100\)

\(h = \frac{100 \times 7}{220}\)

h = 3.18 cm

To learn more about curved surface area of cylinder, refer to the link-

https://brainly.com/question/23426060

#SPJ1

The probability that in the next six tries the number of free throws he will make is at least 4 is 0.74431 and at most 3 is 0.25569.

1. At least 4 free throws made:

The number of free throws the player will make in the next six tries follows a binomial distribution with parameters n = 6 (number of trials) and p = 0.7 (probability of success in each trial).

To find the probability that the player makes at least 4 free throws in the next six tries, we need to calculate the probabilities of making 4, 5, or 6 free throws, and add them up:

P(X ≥ 4) = P(X = 4) + P(X = 5) + P(X = 6)

where X is the random variable representing the number of free throws made.

Using the binomial probability formula, we can calculate these probabilities:
- Probability of making 4 free throws: (6 choose 4) * 0.7⁴ * 0.3²
- Probability of making 5 free throws: (6 choose 5) * 0.7⁵ * 0.3¹
- Probability of making 6 free throws: (6 choose 6) * 0.7⁶ * 0.3⁰

where "choose" is the binomial coefficient (6 choose 4) = 6!/(4!2!) = 15, and so on.

Getting the sum of these probabilities will give the probability of making at least 4 free throws.

P(X ≥ 4) = 0.324135 + 0.302526 + 0.117649 = 0.74431

2. To find the probability of making at most 3 free throws, we can use the complement rule:

P(X ≤ 3) = 1 - P(X ≥ 4) = 1 - 0.74431 = 0.25569

Therefore, the probability of making at least 4 and at most 3 free throws in the next six tries is:

P(3 ≤ X ≤ 4) = P(X ≤ 3) + P(X ≥ 4) = 0.25569 + 0.74431 = 1.0

This makes sense, since the player must make either at least 4 or at most 3 free throws in the next six tries, so the sum of these probabilities is 1.

Learn more about binomial distribution here: https://brainly.com/question/24756209

#SPJ11

Answer: 40

Step-by-step explanation:

Assume Julio's number is x.

The expression would be:

-7 * (x - 15) = -175

x - 15 = -175/-7

x = -175/-7 + 15

x = 40

Answer:

12

Step-by-step explanation:

4 x 3 is 12

Answer:

B - (0,0) is a solution to n = m and to n = 4m

Step-by-step explanation:

The only place where a number meets the same value multiplied by 4 is at (0,0). Otherwise it's just the same function just with a different slope

A system of two linear equations in two variables has no solution if their graphs c. do not intersect at any point.\

When a system of two linear equations in two variables has no solution, it means that there is no point of intersection between the two lines represented by the equations. This means that the lines are parallel, and do not intersect at any point. This is also known as an inconsistent system. On the other hand, if the two lines intersect at exactly one point, it is a consistent system and has a unique solution. If the two lines are coincident, it will have infinitely many solutions.

Learn more about Systems of Linear Equations in two variables here: https://brainly.com/question/24085666

#SPJ4

After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

To know more about equation:

https://brainly.com/question/29657983

#SPJ1

How can a telephone survey of 1000 randomly selected US adults provide evidence that more than 1 in 4 US adults believe in ghosts?The survey results provide evidence that more than one in four US adults believe in ghosts. The telephone survey was conducted on a random sample of 1000 US adults. The survey found that 31 percent of US adults believed in ghosts.

To determine whether more than one in four US adults believe in ghosts, the null and alternative hypotheses will be tested.The null hypothesis in this scenario is that less than or equal to 25% of US adults believe in ghosts. The alternative hypothesis is that more than 25% of US adults believe in ghosts.Therefore, the level of significance (α) will be determined.

The α level is typically set to 0.05. This means that the likelihood of making a type I error is 5%. Then, the z-score will be calculated as follows:z = (0.31 - 0.25) / sqrt[(0.25 x 0.75) / 1000]z = 2.83The obtained z-score will be compared to the critical z-value using a z-distribution table. The critical z-value is 1.96. Since the obtained z-score is greater than the critical z-value, the null hypothesis will be rejected. Therefore, there is evidence to suggest that more than one in four US adults believe in ghosts.

Learn more about telephone survey:

https://brainly.com/question/12992237

#SPJ11

We have the following:

The total cost to rent the boat will be:

3.5 hours x $ 12 per hour + $ 5 = $ 47. If she splits the cost with a friend, they each play $ 47 / 2 = $ 23.5

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

To learn more about the midpoint;

https://brainly.com/question/28224145

#SPJ4

GIVEN:

We are given a set of data as indicated in the attached image.

Required;

Determine the appropriate bin size for the given set of data.

Step-by-step solution;

A bin size is basically a class interval in statistics. Its a way of sorting data in a histogram, more like categories.

We start by identifying the smallest and largest data points and these are;

Now we determine the range of the data set,

Let us now choose 5 bins.

Next step, we divide the range by the bin size and we have;

We now have a class interval of 123.4

We can round this down to 100. That means an interval of 100 between the lower limit and the upper limit of each class interval.

Therefore,

ANSWER;

Option D; 100

Answer:

D. (8,1)

Step-by-step explanation:

hope this helps :)

These lines will never intersect, which means that there is no point where the two equations are true at the same time, hence there are no solutions.

The system of equations y = 3x + 5 and y = 3x - 7 has no solutions.

To know that, let us solve this system of equations using the substitution method:

Since both equations are equal to y, we can equate the two equations to get:3x + 5 = 3x - 7

Now we subtract 3x from both sides of the equation to obtain:5 = -7

This is a contradiction since no number can be equal to both 5 and -7.

It implies that there are no solutions to this system of equations.

So, by looking at the system of equations y = 3x + 5 and y = 3x - 7, we can tell that there are no solutions since they are parallel lines with the same slope of 3.

These lines will never intersect, which means that there is no point where the two equations are true at the same time, hence there are no solutions.

Learn more about equations

brainly.com/question/29538993

#SPJ11

Answer:

Yes

Step-by-step explanation:

According to the analysis;

There are four 1/4 cups in one whole

There are eight 1/4 cups in two wholes

Then the fraction 2/4 = 1/4 + 1/4 Hence there are two 1/4 cups in 2/4.

Altogether we have the fraction 2 2/4 as 8 + 2 = 10 measures of 1/4 cups

To confirm, 10 * 1/4 = 2 2/4

Therefore, the analysis is correct.

Any number that represents something other than zero is considered to be positive.

In the given question we have to explain a positive number in math.

Any number that represents something other than zero is considered to be positive. When referring to the amount of money in your bank account, a positive figure would undoubtedly make you feel good as well.

The natural, or counting, numbers 1, 2, 3, 4 and 5 are examples of positive numbers, as are fractions like 8/5 or 32/45 and decimals like 49.4.

To learn more about positive number link is here

brainly.com/question/13165973

#SPJ4

Correct option is B. The simplified form of the given expression is 13ab

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

An expression is a set of terms combined using the operations +, – , x or , for example 4 x − 3 or x 2 – x y + 17 . An equation states that two expressions are equal in value, for example 4 b − 2 = 6 .

We are given the expression,

5ab+9ab-ab

Using the order of operations rule, we have,

First we will add the terms 5ab and 9ab.

So, the expression is 14ab - ab

Now, we will subtract the terms to get the final answer,

That is,  5ab+9ab-ab = 13ab

To learn more about expressions from the given link

https://brainly.com/question/827805

#SPJ4

Answer:

the answer is B

Step-by-step explanation:

the y-intercept is -2.4 and the y-values were descending and b was the only that has a y-in. of -2.4 and a negative slope (-1.2x)

Answer: Gradpoint answer

B.    y = –1.2x – 2.4

Step-by-step explanation: My answer

A.    y = 1.2x + 2.4

Answer:

-8.8x + 5

Step-by-step explanation:

Equation:

-0.8x + 40 - 8x - 35

-0.8x -8x + 5

-8.8x + 5

*This answer might be from a misunderstanding*

Answer:

-8.8x + 5

Step-by-step explanation:

See attached picture!!

Hope this helps!!

Using the simplex method, the optimal solution for the given linear programming problem is x = 2, y = 2, z = 0, with the maximum objective value of P = 10.



a. To rewrite the formulation in standard form, we need to replace the inequalities with equality constraints and introduce non-negative variables. Let's assume x, y, and z as the non-negative variables:

Maximize P = 3x + 2y + 4z

Subject to:2x + y + z + s1 = 8

x + 2y + 3z + s2 = 10

x, y, z ≥ 0

b. Utilizing the linear programming simplex method, we can solve the above formulation. After setting up the initial tableau, we perform iterations by selecting a pivot element and applying the simplex algorithm until an optimal solution is reached. The algorithm involves row operations to pivot the tableau until all coefficients in the objective row are non-negative. This ensures the optimality condition is satisfied, and the maximum value of P is obtained.

To provide a brief solution within 120 words, we determine the optimal solution by applying the simplex method to the above formulation. After performing the necessary iterations, we find that the maximum value of P occurs when x = 2, y = 2, z = 0, with P = 10. Therefore, the maximum value of P is 10, and the solution for the given problem is x = 2, y = 2, and z = 0.

To learn more about simplex method click here

brainly.com/question/32298193

#SPJ11

Answer:

The correct options are;

0.4 represents the height of each block

0.6 represents the height of the base

Step-by-step explanation:

The given information are;

The activity Kirima is engaged in = Building a wall

The process by which she is building the wall includes

1) Construction of a base on the floor

2) Piling blocks of uniform height to form the wall

3) Estimating the height of the wall she is constructing with the expression 0.4·x + 0.6 where the constants which are 0.4 and 0.6 are in meters;

From her procedure, we have the constants, which are the values that do not change as follows;

1) The firm base

2) The uniformly sized blocks

Of the two constants, the one that consists of multiple items is the uniform sized blocks as they are laid in brick pattern

There is only one firm base

Therefore, the constant that has a variable is the uniform sized blocks

Which gives in the expression 0.4·x + 0.6, we have;

0.4 = The dimension of the uniform sized blocks

∴ 0.6 = The dimension of the firm base.

Answer: 40800000

Step-by-step explanation:

I think the answer is D

☆...hope this helps...☆

_♡_mashi_♡_

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

To know more about trigonometric visit :

https://brainly.com/question/29156330

#SPJ11

Answer:

2c + 3b= $

Step-by-step explanation:

if they make 2 dollars for every cupcake and 3 dollars for every brownie they just need to plug in however many cupcakes into C and however many brownies to B to find their product

There are 3 cases to consider when determining horizontal asymptotes:

1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)

2) Case 2: if: degree of numerator = degree of denominator.

3) Case 3: if: degree of numerator > degree of denominator.

The function x(t) = xm exp(-ßt) exp(tiwt) is a solution of the differential equation:m + dt² dt kx = 0.

The given differential equation is:m + dt² dt kx = 0.We need to show that the function: x(t) = xm exp(-ßt) exp(tiwt) is a solution of the given differential equation.To verify this, we need to find the second derivative of x(t), and substitute x(t) and its derivatives into the differential equation.

Let's find the derivatives of x(t):x(t) = xm exp(-ßt) exp(tiwt)The first derivative of x(t):dx/dt = -xm ß exp(-ßt) exp(tiwt) + xm tiw exp(-ßt) exp(tiwt)The second derivative of x(t):d²x/dt² = xm ß² exp(-ßt) exp(tiwt) - 2xm ß tiw exp(-ßt) exp(tiwt) + xm tiw² exp(-ßt) exp(tiwt)Now, substitute the function x(t) and its derivatives into the differential equation:m + dt² dt kx = 0m + d(xm ß² exp(-ßt) exp(tiwt) - 2xm ß tiw exp(-ßt) exp(tiwt) + xm tiw² exp(-ßt) exp(tiwt)) dt k = 0

The above differential equation simplifies as follows:m + d(xm ß² - 2xm ß tiw + xm tiw²) exp(-ßt) exp(tiwt) = 0Now, we need to find w and ß in terms of m, k, and b, such that the above differential equation holds true.Substituting the value of w and ß, we have:x(t) = xm exp(-ßt) exp(tiwt) = xm exp(-√(k/m + b/2m) t) exp(ti√(k/m - b/2m) t)Hence, the function x(t) = xm exp(-ßt) exp(tiwt) is a solution of the differential equation:m + dt² dt kx = 0.

To know more about differential equation refer to

https://brainly.com/question/32645495

#SPJ11

Answer:

\(-9x-10y\)

Step-by-step explanation:

\(10yi^2-9x \\ \\ =10y(-1)-9x \\ \\ =-9x-10y\)

False. The normal account balance of Purchases Returns and Allowances is a credit, not a debit.

Purchases Returns and Allowances is a contra-expense account, which means it is used to reduce the balance of the Purchases account. When merchandise is returned to the supplier or an allowance is granted by the supplier, the Purchases Returns and Allowances account is credited, which reduces the amount of the original purchase.

Since the Purchases Returns and Allowances account is a contra-expense account, it has an opposite balance to that of the regular expense account it is associated with, which is Purchases. Purchases has a normal debit balance, so Purchases Returns and Allowances has a normal credit balance.

To learn more about Purchases Returns please click on below link.

https://brainly.com/question/28945469

#SPJ1