the distance of a point to the line through points and is the length of the component of that is orthogonal to , as indicated in the diagram. so the distance from to the line through the points and is

The bottleneck time is 18.18%. Therefore, option A is the correct answer.

In economics terms, the bottleneck is a chain of supply of resources that wants the most extended time in the supply chain operation for specific demand. It also evaluated to estimate the supply chain throughput.

Through put time = Sum of all times=1+2+3+4+5+6+7+8+9+10=55

Given,

Assembly line has 10 stations

Throughput time is 55

The formula for bottleneck time is:

Bottle neck time = Total stations/Throughput time ×100

= 10/55 ×100

= 18.18%

The bottleneck time is 18.18%. Therefore, option A is the correct answer.

Learn more about the bottleneck time here:

https://brainly.com/question/14122986.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

An assembly line has 10 stations with times of 1, 2, 3, 4,...,10, respectively. What is the bottleneck time?

a. 18.18% of the throughput time

b. 100% of the throughput time

c. 550% of the throughput time

d. 50% of the throughput time

e. 1.82% of the throughput time

In a scatterplot of your data, option A) hours of TV news broadcast watching should be on the horizontal axis.

A scatter plot is a graphical representation of data that uses dots to show the relationship between two variables. In this case, you have gathered data on the number of hours of television news broadcasts watched per week and the grade point average of juniors majoring in journalism.

To create a scatter plot, you will need to plot the hours of TV news broadcast watching on one axis and the grade point average on the other. The choice of which variable to plot on which axis is crucial in determining the usefulness of the scatter plot.

In this case, since you expect that TV news broadcast watching will help explain grades, it makes sense to plot the hours of TV news broadcast watching on the horizontal axis and the grade point average on the vertical axis. This is because the independent variable (hours of TV news broadcast watching) is usually plotted on the x-axis, while the dependent variable (grade point average) is plotted on the y-axis.

Therefore, the answer to the question is A) hours of TV news broadcast watching should be on the horizontal axis.

To know more about average here.

https://brainly.com/question/16956746

#SPJ4

Complete Question:

You gather data on the number of hours of television news broadcasts watched per week and the grade point average of juniors majoring in journalism. You expect that TV news broadcast watching will help explain grades.

In a scatterplot of your data,

A) hours of TV news broadcast watching should be on the horizontal axis.

B) grade point average should be on the horizontal axis.

C) it makes no difference which is horizontal.

D) a scatterplot is not an appropriate type of graph for these data.

Answer:

34

Step-by-step explanation:

hope this helps :)

Answer:

34

Step-by-step explanation:

First, plug in numbers and then solve...

Step-by-step explanation:

In n -sided polygon,

sum of interior angles =(n−2)×180°

Hexagon has 6 side

n=6

sum of interior angles of a hexagon =(6−2)×180°

=720°.

______________________________________

In n -sided polygon,

sum of interior angles =(n−2)×180°

Hexagon has 10 side

n=10

sum of interior angles of a hexagon =(10−2)×180°

=1440°.

hope this helps you.

Answer:

The amount of more money than Antonia that Cal will have in his account after 12 months is $100

Step-by-step explanation:

The given parameters are;

The amount Antonia currently has in her savings account, P₁ = $4,500

The amount Antonia saves per month, S₁ = $150

The amount Cal currently has in his savings account, P₂ = $3,400

The amount Cal saves per month, S₂ = $250

Let the

The amount, 'A₁', Antonia has in 12 months is given as follows;

A₁ = P₁ + 12 × S₁

∴ A₁ = $4,500 + 12 × $150 = $6,300

Similarly, the amount, 'A₂', Cal has in 12 months is found as follows;

A₂ = P₂ + 12 × S₂

∴ A₂ = $3,400 + 12 × $250 = $6,400

The amount of money than Antonia that Cal will have after 12 months, 'A₂₋₁', is given as follows;

A₂₋₁ = A₂ - A₁ = $6,400 - $6,300 = $100.

The amount of money than Antonia that Cal will have after 12 months, A₂₋₁ = $100.

Answer:

that will be 12

Step-by-step explanation:

The statement ''the formula for finding the surface area of a cylinder is sa = πr2 πrh.'' is false because the formula for finding the surface area of a cylinder is given by: SA = 2πrh + 2πr^2 , where SA represents the surface area, r is the radius of the base, and h is the height of the cylinder.

The first term, 2πrh, represents the area of the curved surface of the cylinder (the lateral surface area), which is a rectangle that wraps around the cylinder. It is calculated by multiplying the height of the cylinder by the circumference of the base.

The second term, 2πr^2, represents the areas of the two circular bases of the cylinder.

By adding these two terms together, we obtain the total surface area of the cylinder.

Therefore, the correct formula for finding the surface area of a cylinder is SA = 2πrh + 2πr^2.

To know more about surface area refer here:

https://brainly.com/question/29298005#

#SPJ11

Answer:

( 21 x X ) + 1

Step-by-step explanation:

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

Learn more about inscribed angle theorems on:

https://brainly.com/question/30494878

Answer: x=-6 1/4

Step-by-step explanation:

Answer:

8,500

Step-by-step explanation:

Answer:

8,500

Step-by-step explanation:

Answer:

y=1.25, x=0.75, z=1.45773795

Step-by-step explanation:

Scale factor being 0.5 means you multiply every side by 0.5 to the similar triangle:

\(2.5(0.5)=1.25\\1.5(0.5)=0.75\\2.9154759(0.5)=1.45773795\)

Answer:

Below

Step-by-step explanation:

12 C 2  = 12! / ( 10! 2!) = 66 ways

The value of the expression (a+b)³ - 12, when a = 1 and b = 2, is 15.

An "Algebraic-Expression" is a mathematical phrase that contains variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. It is used to represent a mathematical relationship or quantity.

We first simplify the algebraic-expression (a+b)³ - 12 using the formula for the cube of a binomial, which is : (a+b)³ = a³ + 3a²b + 3ab² + b³;

Substituting this into the original expression,

We get,

(a+b)³ - 12 = (a³ + 3a²b + 3ab² + b³) - 12

Now, we substitute a = 1 and b = 2,

We get,

(1+2)³ - 12 = 3³ - 12 = 27 - 12 = 15

Therefore, The value of the expression is 15.

Learn more about Expression here

https://brainly.com/question/21469837

#SPJ4

The given question is incomplete, the complete question is

First simplify the algebraic expression (a+b)³ - 12, then evaluate the expression at a = 1 and b = 2.

Answer:

a+b=a

or, 3+b=3 (a=3)

or, b= 3-3

or, b=0

Answer:

Step-by-step explanation:

Third angle = 180 - (40 + 60)

                   = 180 - 100

                   =  80°

When you subtract the sum of 40 and 60 from 180, you will get the third angle.

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

Learn more about rate: https://brainly.com/question/24304697

#SPJ1

The study would use a simple random sampling because it would be easy to randomly select. The study would use cluster sampling because the of fall into naturally occurring subgroups. The study would use stratified sampling because it would be important to have members from each segment of the population.

The study is a sample survey, because the population is for it to be practical to record all of the responses.

a. The study would use a simple random sampling because it would be easy to randomly select members of the population. Simple random sampling is a type of probability sampling that is used when the population is homogenous and every member has an equal chance of being selected for the sample.

b. The study would use cluster sampling because the members of the population fall into naturally occurring subgroups. Cluster sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into naturally occurring subgroups.

c. The study would use stratified sampling because it would be important to have members from each segment of the population. Stratified sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into segments or strata based on certain characteristics.

d. The study is a sample survey, because the population is too large for it to be practical to record all of the responses. Sample survey is a type of survey that collects data from a sample of the population, rather than the entire population. This is often done when the population is too large or when it is not practical to survey the entire population.

To know more about  sampling refer here:

https://brainly.com/question/30759604

#SPJ11

To solve this problem, we can use conditional probability. We know that the sum of the numbers landing uppermost is 7, so we need to consider all the possible outcomes that satisfy this condition.

These outcomes are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
Out of these outcomes, only one has the first die landing on 5, which is (5,2). Therefore, the probability that the first die is a 5 given that the sum is 7 is 1/6.
So, the answer to your question is that the probability that the number landing uppermost on the first die is a 5 if it is known that the sum of the numbers landing uppermost is 7 is 1/6.
You want to find the probability that the number landing uppermost on the first die is a 5, given that the sum of the numbers landing uppermost is 7.
Step 1: Identify the favorable outcomes. In this case, the favorable outcome is when the first die lands on a 5, and the sum of the numbers is 7.
Step 2: Find the number of favorable outcomes. Since the first die must be a 5 and the sum is 7, the only favorable outcome is when the second die is a 2 (5 + 2 = 7).
Step 3: Identify the possible outcomes for a sum of 7. There are six possible combinations: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
Step 4: Calculate the probability. Divide the number of favorable outcomes by the number of possible outcomes for a sum of 7:
Probability = (Number of favorable outcomes) / (Number of possible outcomes for a sum of 7) = 1/6.
So, the probability that the number landing uppermost on the first die is a 5, given that the sum of the numbers landing uppermost is 7, is 1/6.

Visit here to learn more about probability:

brainly.com/question/30034780

#SPJ11

Answer:

It's B.

Step-by-step explanation:

Answer:

130

Basic fact:

angles in all quadrilaterals add up to 360 degrees

Step-by-step explanation:

a=angle

72+45+113+a=360

230+a=360

360-230=a

130=a

The corresponding series expansion for the indefinite integral of the given series expansion, integrated term-by-term from zero to π, is -cos x + C.

To obtain the corresponding series expansion for the indefinite integral of the given series expansion, we need to integrate term-by-term from zero to π. This means that we integrate each term of the series expansion individually, and then combine them to form the overall series expansion for the indefinite integral. The indefinite integral of sin x is -cos x + C, where C is the constant of integration.

The given series expansion is:
sin x - (sin x)^3/3! + (sin x)^5/5! - (sin x)^7/7! + ...
To obtain the corresponding series expansion for the indefinite integral of this series expansion, integrated term-by-term from zero to π, we need to integrate each term of the series expansion individually, and then combine them to form the overall series expansion for the indefinite integral.
The indefinite integral of sin x is -cos x + C, where C is the constant of integration. Therefore, integrating the first term of the series expansion, which is sin x, gives us -cos x + C. Integrating the second term of the series expansion, which is (sin x)^3/3!, gives us (-cos x^3)/3! + C. Continuing in this way, we can integrate each term of the series expansion and obtain the corresponding series expansion for the indefinite integral.

To know more about indefinite integral visit :-

https://brainly.com/question/28036871

#SPJ11

8 + a = 6

Subtracting 8 at both sides of the equation, we have:

a = 6 - 8

a = - 2

Answer:

9

Step-by-step explanation:

-2g- 2m+ 5

-2(-3) - 2(10) +5

6- 20+ 5

9

Answer:

17 is the answer

Step-by-step explanation:

To find the determinant of a matrix using row reduction to echelon form, you can follow these steps:

1. Start with the given matrix.

2. Apply row operations to convert the matrix into echelon form. Row operations include multiplying a row by a nonzero scalar, adding a multiple of one row to another, and swapping two rows.

3. Continue performing row operations until you reach the echelon form, where all leading coefficients (the leftmost nonzero entry in each row) are 1 and the entries below leading coefficients are all zeros.

4. Once you have the matrix in echelon form, the determinant can be calculated by multiplying the leading coefficients of each row.

5. If you perform any row swaps during the row reduction process, keep track of the number of swaps. If the number of swaps is odd, multiply the determinant by -1.

Let's look at an example to illustrate these steps. Suppose we have the following 3x3 matrix:

| 2  1  3 |
| 1 -2 -4 |
| 3  0  1 |

Step 1: Start with the given matrix.

Step 2: Apply row operations to convert the matrix into echelon form.

First, we can multiply the first row by -1/2 and add it to the second row, resulting in:

| 2   1   3  |
| 0  -5/2 -5/2|
| 3   0    1  |

Next, multiply the first row by -3/2 and add it to the third row, giving us:

| 2   1   3  |
| 0  -5/2 -5/2|
| 0  -3/2 -8/2|

Finally, multiply the second row by -2/5 to get a leading coefficient of 1:

| 2   1   3  |
| 0   1    1 |
| 0  -3/2 -8/2|

Step 3: The matrix is now in echelon form.

Step 4: Calculate the determinant by multiplying the leading coefficients of each row:

2 * 1 * (-8/2) = -8

Step 5: Since no row swaps were performed, we don't need to multiply the determinant by -1.

Therefore, the determinant of the given matrix is -8.

Know more about determinant of matrix here:

https://brainly.com/question/29835088

#SPJ11

Answer:

The answer would be A - $96

The number of moves required to solve the relaxed problem is always less than or equal to the number of moves required to solve the original Towers of Hanoi problem.

Towers of Hanoi is a problem in computer science that involves moving a stack of disks from one peg to another. The stack has a hole through which pegs are placed, and the disks are placed in a series of concentric circles with the largest at the bottom and the smallest at the top.

The problem's objective is to move the stack to another peg without moving more than one disk at a time and without putting a larger disk on top of a smaller one.

The number of moves required to solve the relaxed problem is always less than or equal to the number of moves required to solve the original Towers of Hanoi problem. The relaxed problem is a version of the original problem with a few restrictions removed. This means that the original problem can be solved by solving the relaxed problem and then adding back the restrictions that were removed.

You can learn more about the Hanoi problem at: brainly.com/question/28097481

#SPJ11