help e cause I'm stuck

The probability of getting one defective component per customer is very low, less than 1/14,254. The probability of getting five defective components to a single customer is also low, 1/14,254. And the probability of getting two defective components to two different customers and the rest of the customers getting none is 10/14,254.

(a) The probability that each customer will receive one defective component is the probability that the five defective components will be drawn in a specific order, divided by the total number of ways the 50 components can be drawn. There are 5049484746 ways that the 50 components can be drawn, and 5! (5 factorial) ways that the defective components can be drawn in a specific order. So the probability is (5!)/(5049484746) = 1/14,254.

(b) The probability that one customer will have drawn five defective components is the probability that all five defective components will be drawn in a row, divided by the total number of ways the 50 components can be drawn. There are 5049484746 ways that the 50 components can be drawn, and 5! (5 factorial) ways that the defective components can be drawn in a row. So the probability is (1!)/(5049484746) = 1/14,254,

(c) The probability that two customers will receive two defective components each, two none, and the other one, is the probability that the five defective components will be drawn in a specific order and then divided among the five customers in a specific way, divided by the total number of ways the 50 components can be drawn. The number of ways to divide the defective components among the customers is 5!/(2!2!1!) = 10. There are 5049484746 ways that the 50 components can be drawn, and 5! (5 factorial) ways that the defective components can be drawn in a specific order, so the probability is (105!)/(50494847*46) = 10/14,254.

To learn more about the probability, visit:

brainly.com/question/30034780

#SPJ4.

The answer of the given question based on the theoretically optimal solution is ,False.

A model refers to a simplified representation of a real-world system or phenomenon that is used to gain insights, make predictions, or solve problems. Models in math can take many forms, including mathematical equations, geometric shapes, graphs, or diagrams.

Mathematical models are often used in various fields like physics, engineering, economics, and biology to represent and analyze complex phenomena. These models are constructed using mathematical principles and are based on assumptions and simplifications of the real-world system they represent.

False.

In project 8, the out-of-sample results are expected to provide an estimate of how well the model is expected to perform on new, unseen data. The out-of-sample results are not necessarily expected to the track closely with or exceed  results of theoretically optimal solution (TOS), as TOS is based on training data and may not generalize well to new data. The goal is to find a model that performs well on both the training data and new, unseen data, so the out-of-sample results are used to evaluate the generalization performance of the model.

To know more about Mathematical equations visit:

https://brainly.com/question/29514785

#SPJ1

Answer: X coordinate can be anything.

Step-by-step explanation:

It can be 1, 2, 3, 4 , 5 .........

There must be an equation or something else, to we can work out the answer.

To find the dimensions that produce the cheapest container, we need to use optimization techniques. Let's start by expressing the volume of the cylinder in terms of its dimensions:

V = πr^2h

where V is the volume, r is the radius of the base, and h is the height of the cylinder.

We know that the volume of the cylinder is 12 m^3, so we can write:

12 = πr^2h

We want to minimize the cost of the container, which is given by:

C = 5πr^2 + 6πrh

where the first term represents the cost of the base and the second term represents the cost of the sides.

To find the dimensions that produce the cheapest container, we need to find the values of r and h that minimize C while satisfying the constraint 12 = πr^2h.

To do this, we can use the method of Lagrange multipliers. We define the function:

L = 5πr^2 + 6πrh + λ(12 - πr^2h)

where λ is the Lagrange multiplier. We then take partial derivatives of L with respect to r, h, and λ, and set them equal to zero:

∂L/∂r = 10πr + 6πhλ = 0
∂L/∂h = 6πrλ + 6πh = 0
∂L/∂λ = 12 - πr^2h = 0

Solving these equations, we get:

r = √(2/π) ≈ 0.798 m
h = 3√(2/π) ≈ 2.404 m
λ = 5/(2πh) ≈ 0.546

These dimensions produce the cheapest container, with a cost of:

C = 5πr^2 + 6πrh ≈ $61.37

Note that we can verify that this is a minimum by checking the second partial derivatives of L.

To learn more about volume of the cylinder visit;

brainly.com/question/16788902

#SPJ11

Answer:

Step-by-step explanation:

The calculation; (9.04-8.23+21.954+81.0) * 3.1416 should have three significant figures.

To determine the number of significant figures in a calculation, we follow these rules:

1. When adding or subtracting numbers, the result should have the same number of decimal places as the number with the fewest decimal places.

2. When multiplying or dividing numbers, the result should have the same number of significant figures as the number with the fewest significant figures.

Let's calculate the expression:

(9.04 - 8.23 + 21.954 + 81.0) * 3.1416

First, perform the addition and subtraction:

(0.81 + 21.954 + 81.0) * 3.1416

= 103.764 * 3.1416

Next, perform the multiplication:

325.8512544

To determine the number of significant figures, we look at the original numbers involved in the calculation.

9.04 has three significant figures.

8.23 has three significant figures.

21.954 has five significant figures.

81.0 has three significant figures.

3.1416 has five significant figures.

Among these numbers, the number with the fewest significant figures is 81.0 with three significant figures.

Therefore, the result of the calculation, 325.8512544, should have three significant figures to match the least precise value.

In scientific notation, the result would be expressed as 3.26 x 10^2.

To know more about significant figures refer here:

https://brainly.com/question/29153641#

#SPJ11

The given calculation would yield a result with five significant figures because we base our significant digits off of the least precise term within the parentheses, which is 81.0. The result is then rounded according to this rule.

In the case of the calculation (9.04-8.23+21.954+81.0) * 3.1416, it's important to first consider the rule for significant figures in calculations - the result should be reported with the smallest number of decimal places in the numbers used in the calculation. The number 81.0 has two numbers after the decimal point, therefore, our final answer should have two numbers after the decimal point. When you calculate the inside of the parentheses, the result is 103.764. Multiplying that by 3.1416 would approximately yield 325.854. Rounding this to the least precise measurement (which is to two decimal places due to 81.0) would give us 325.85 which has five significant figures, effectively limiting our calculated value to five significant figures.

https://brainly.com/question/38281611

#SPJ12

Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator and teacher support for allowing students to miss class for the group sessions.

Elementary education,  can as well be described as the  primary education, which is the first stage of education that is followed in the traditional  formal education,  children at  about age 5 to 7 are those that are usually found in the elementary seetings of school.

Its should be noted that Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator .

Learn more about Elementary School on:

https://brainly.com/question/25887038

#SPJ4

Answer:

no

Step-by-step explanation:

refer to picture for solution

Answer:

589

Step-by-step explanation:

divide the money they spend on 3 weeks by 3 zo you will get how much they spend one week

1767/3=589

The total number of socks are n, 3 of which are red. when 2 socks are chosen randomly from the box, the probability of both socks being red is 1/2 so the value of n is 4.

The information given by question is

Total number of socks = n

Number of red socks   = 3

when 2 socks are chosen randomly from the box

Probability of both socks being red = 1/2

Ways of choosing 2 socks from n = \(_nC_2\)

Ways of choosing 2 red socks from 3 = \(_3C_2\)

Probability of both socks being red = \(\frac{_3C_2}{_nC_2}\)

  \(\frac{6}{n(n-1)}\) = \(\frac{1}{2}\)

  12 = n² - n

n² - n -12 = 0

n² - 4n + 3n - 12 = 0

n(n - 4) + 3(n - 4) = 0

(n - 4)(n + 3) = 0

n = 4 or -3

Ignore negative value, therefore n = 4

To know more about Probability

https://brainly.com/question/29260085

#SPJ4

The bicycle manufacturer is studying the reliability of its models and analyzing the probability of defects. They found the probability of a brake defect is 4 percent and the probability of both brake and chain defects is 1 percent.

Given that the probability of a defect with brakes or chain is 6 percent, we can find the probability of a chain defect using the formula: P(A and B) = P(A|B) * P(B), where P(A and B) is the probability of both events A and B occurring, P(A|B) is the probability of event A occurring given that event B has occurred, and P(B) is the probability of event B occurring.

In this case, we want to find the probability of a chain defect given that there is a defect with either the brakes or the chain. Let's use the events: A = brake defect, B = chain defect, From the problem statement, we know that: P(A) = 0.04 (probability of a brake defect), P(A and B) = 0.01 (probability of both a brake defect and a chain defect)
P(A or B) = 0.06 (probability of a defect with the brakes or the chain).

To find P(B|A or B), we can use the formula: P(B|A or B) = P(A and B) / P(A or B) = 0.01 / 0.06, = 1/6, = 0.1667, So the probability of a chain defect given that there is a defect with either the brakes or the chain is 16.67%, or approximately 2/12 or 1/6.

Therefore, the correct answer is option 2: 2%, Solving for the probability of a chain defect, we get: P(chain defect) = 0.06 - 0.04 + 0.01 = 0.03, So, the probability of a chain defect is 3 percent.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

The area of the parallelogram with vertices A(-3,0), B(-1,4), C(6,3), and D(4,-1) is 30 square units.

To find the area of a parallelogram given its vertices, we can use the cross product of two of its adjacent sides. Let's first find the two adjacent sides of the parallelogram.

One pair of adjacent sides can be formed by the vectors AB and BC, where A = (-3,0), B = (-1,4), and C = (6,3)

AB = B - A = (-1,4) - (-3,0) = (2,4)

BC = C - B = (6,3) - (-1,4) = (7,-1)

The other pair of adjacent sides can be formed by the vectors CD and DA, where C = (6,3), D = (4,-1), and A = (-3,0)

CD = D - C = (4,-1) - (6,3) = (-2,-4)

DA = A - D = (-3,0) - (4,-1) = (-7,1)

Now, we can take the cross product of the vectors AB and BC (or CD and DA) to find the area of the parallelogram

AB x BC = |AB| |BC| sin(theta) n

where |AB| and |BC| are the magnitudes of the vectors AB and BC, theta is the angle between them, and n is the unit normal vector to the plane containing AB and BC.

We can find the magnitude of a vector by taking the square root of the sum of the squares of its components

|AB| = sqrt(2^2 + 4^2) = sqrt(20)

|BC| = sqrt(7^2 + (-1)^2) = sqrt(50)

To find the sine of the angle between AB and BC, we can use the dot product formula

AB . BC = |AB| |BC| cos(theta)

where AB . BC is the dot product of the vectors AB and BC, and cos(theta) is the cosine of the angle between them.

AB . BC = (2)(7) + (4)(-1) = 14 - 4 = 10

cos(theta) = AB . BC / (|AB| |BC|) = 10 / (sqrt(20) sqrt(50)) = 1 / (2 sqrt(5))

sin(theta) = sqrt(1 - cos^2(theta)) = sqrt(1 - 1/20) = sqrt(19/20)

Finally, we can take the cross product of AB and BC to get the area of the parallelogram

AB x BC = (2i + 4j) x (7i - j) = 30k

The magnitude of the cross product is equal to the area of the parallelogram, so the area of the parallelogram is

|AB x BC| = |30k| = 30 square units

Learn more about area here

brainly.com/question/28518715

#SPJ4

Answer:

-3, -2, -0.8, -1/10, 1/2, 0.8, 7

The order of the set of sign numbers from least to greatest is,

- 3, - 2, - 0.8, - 0.1, 0.5, 0.8, and 7.

A number that is followed by the plus sign (+) to denote a positive value or the minus sign (-) to denote a negative value.

A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.

Given, A set of signed numbers - 1/10, - 0.8, 0.8, - 2, 7, 1/2, and - 3.

let us convert them into decimals, - 0.1, - 0.8, 0.8, - 2, 7, 0.5, and - 3.

The order from least to greatest is,

- 3, - 2, - 0.8, - 0.1, 0.5, 0.8, and 7.

learn more about the number system here :

https://brainly.com/question/29136622

#SPJ2

The APR is 24%, so the monthly rate is 24/12 = 2% which converts to the decimal form 0.02

=============================================

Problem 1

Refer to problem 2 below. Note how only the exponent is changing. The 1.02 is from 1+0.02, which is in the form 1+r.

=============================================

Problem 2

In general, the balance after m months is 1000(1.02)^m

This formula is very similar to the compound interest formula.

=============================================

Problem 3

Computing 1000(1.02)^12 gets us 1,268.24179456254 approximately which rounds to 1,268.24

After 1 year, the cardholder owes $1,268.24

-----------

Calculating the effective APR

r = APR = 0.24

s = effective APR

s = (1 + r/12)^12 - 1

s = (1 + 0.24/12)^12 - 1

s = 0.26824179456254

s = 0.2682

s = 26.82%

The effective APR is roughly 26.82%

=============================================

Problem 4

After t years, the balance will be approximately 1000*(1.2682)^t

The 1.2682 is from adding 1+0.2682, and the 0.2682 was the effective rate calculated in problem 3. The effective rate helps find the total amount of interest charged on a yearly basis. This assumes that no extra purchases were made and no payments were made either.

Answer:

1 true 2true 3false 4true 5 true

Answer:

1: True 2: False 3: True 4: True 5: False

T/F Solution that can be analytically obtained but is not an actual answer to the equation often due to restrictions in the type of function such as a negative in the log

This statement is true.

Because, Sometimes, when solving an equation using analytical methods, we may arrive at a solution that is mathematically correct but is not a valid answer due to the restrictions in the type of function used.

For example, if a negative value appears in the logarithmic function, the solution may not be valid because the logarithmic function is only defined for positive values.

In such cases, we need to go back and recheck our work and take into account the restrictions of the function to arrive at a valid solution.

Sometimes when solving an equation analytically, the resulting solution may not be a valid answer due to restrictions in the domain of the function.

For example, if we solve an equation involving a logarithmic function, we may end up with a negative value inside the logarithm, which is not defined for real numbers. In such cases, the solution obtained analytically is not a valid answer to the equation.

Another example is when solving for the roots of a quadratic equation using the quadratic formula, we may obtain complex solutions even though we are only interested in real solutions.

Thus, it is important to always check the solutions obtained to ensure that they satisfy any domain or range restrictions of the functions involved in the equation.

For similar question on analytically.

https://brainly.com/question/29179937

#SPJ11

Answer: b

Step-by-step explanation:

True.

If A is an invertible n by n matrix and b is a vector in Rn, then the equation Ax=b has exactly one solution.

If A is an invertible n by n matrix and b is a vector in Rn, then the equation Ax=b has exactly one solution. This is because an invertible matrix has full rank, which means that its columns are linearly independent. Therefore, the nullspace of A is just the zero vector, and there is no nontrivial solution to the homogeneous equation Ax=0.

Now suppose that Ax1=b and Ax2=b for some vectors x1 and x2. Then we have A(x1 - x2) = Ax1 - Ax2 = b - b = 0. Since the nullspace of A is trivial, this implies that x1 - x2 = 0, or equivalently, x1 = x2. Therefore, there is exactly one solution to the equation Ax=b for any vector b in Rn.

Visit to know more about Matrix:-

brainly.com/question/2456804

#SPJ11

Chance is a term used to represent the percentage of time a specific result is expected to occur when the same basic procedure is repeated over and over again, where each repetition is independent.

Chance is a term that is used to describe the probability that a certain outcome will occur given a set of fundamental instructions repeated again with each repetition being independent.

Ultimately, this means the number of times a result of an event occurs when repeated over a number of times is chance.

Read more on chance:

https://brainly.com/question/30820369

#SPJ1

Answer:

m=-3/5

Step-by-step explanation:

Solution :

7658 - 7000 = 658 - blank

658 = 658

So here, blank is 0.

547 - 7000 = 658 - blank

-7111 = 658 - blank

Blank = 7769

14 - 7000 = 658 - blank

- 6986 = 658 - blank

Blank = 7644

To find the amount of the 1.6 thousand gallons left at the end of the week, we need to determine the demand for the week and subtract it from the initial stock.

First, let's define the function h(x) as the amount left when the demand is x.

1. Identify the demand function for the week. This information is missing in your question, but let's assume it is given as d(x).

2. Calculate the demand for the week by evaluating the function d(x) at the end of the week. Let's assume the week is represented by the variable "t". Evaluate d(t) to find the demand for the week.

3. Subtract the demand for the week from the initial stock to find the remaining amount: h(t) = 1.6 thousand gallons - d(t).

4. Round your answer to three decimal places to get the final result.

Without the specific demand function, I cannot provide a numerical answer.

However, you can follow these steps with the given demand function to find the amount of the 1.6 thousand gallons expected to be left at the end of the week.

learn more about function here:brainly.com/question/12431044

#SPJ11

Answer:

5/3

Step-by-step explanation:

multiply the whole thing by y to get 3y/x=5 and then divide by 3 to get y/x=5/3

Answer:

y/x=5/3

Step-by-step explanation:

3/x=5/y ⇒ y/x=5/3  replacing y with 3

Answer: 45 copies in 18 minutes

Step-by-step explanation:

i figured it out ;)

By showing that the corresponding sides are not proportional we know that the Triangles △fgh and △jih are not similar.

To prove that triangles △fgh and △jih are not similar, we need to show that at least one pair of corresponding sides is not proportional.
Let's compare the side lengths:

Side fg does not have a corresponding side in △jih.
Side gh in △fgh corresponds to side hi in △jih.
Side fh in △fgh corresponds to side ij in △jih.

By comparing the side lengths, we can see that side gh/hj and side fh/ij are not proportional.

Therefore, triangles △fgh and △jih are not similar.

Know more about Triangles  here:

https://brainly.com/question/1058720

#SPJ11

Triangle FGH (△FGH) is not similar to triangle JIH (△JIH) because their corresponding angles are not congruent and their corresponding sides are not proportional.

To prove that triangle FGH (△FGH) is not similar to triangle JIH (△JIH), we need to show that their corresponding angles and corresponding sides are not proportional.

1. Corresponding angles: In similar triangles, corresponding angles are congruent. If we compare the angles of △FGH and △JIH, we find that angle F in △FGH corresponds to angle J in △JIH, angle G corresponds to angle I, and angle H corresponds to angle H. Since the corresponding angles in both triangles are not congruent, we can conclude that the triangles are not similar.

2. Corresponding sides: In similar triangles, corresponding sides are proportional. Let's compare the sides of △FGH and △JIH. Side FG corresponds to side JI, side GH corresponds to side IH, and side FH corresponds to side HJ. If we measure the lengths of these sides, we can see that they are not proportional. Therefore, the triangles are not similar.

Learn more about corresponding angles :

https://brainly.com/question/28175118

#SPJ11

Answer:

380cm

Step-by-step explanation:

Answer:

]]][

Step-by-step explanation:

Answer:

15 and 80

Step-by-step explanation:

Sum of interior angle of a triangle is 180.

The ratio is 3 : 16

Let consider them as 3x and 16x

85 + 3x + 16 x = 180

85 + 19x = 180

19x = 180 - 85

19x = 95

x = 95/19

x = 5

3x = 3*5 = 15

16x = 16*5 = 80

Answer:

What is the question?

Step-by-step explanation:

Answer:

16 rows, 8 seedlings left.

Step-by-step explanation:

Divide 200 by 12, since 200 seedlings are going to be split in 12 groups in order to fill the rows.

200 ÷ 12 = 16 with a remainder of 8.

The remainder is basically what is left.

Since 12 seedlings are planted in each row, 8 seedlings is not enough to completely fill the row. So, the answer is 16 rows with 8 seedlings left.

Hope this helped !