Slope = -1, through point (-3,5)

The question is asking for the probability of the chain failing under the given load. The strength of the links is independent of each other. We can use Bernoulli's trial to solve this problem.

Let's define the probability of any one link not failing under the given load as `p = 1 - q`. Here, q is the probability that any one link will fail under the given load.

The probability that all n links will not fail under the load can be calculated as `P(success) = p^n`. Here, we multiply the probability of success of one link by the probability of success of another link and so on until the nth link.

The probability of the chain failing is the complement of the probability that all the links will not fail. Hence, `P(failure) = 1 - P(success) = 1 - p^n`.

Therefore, the probability of the chain failing under the given load is `1 - p^n` or `1 - (1 - q)^n`.

Know more about probability here:

https://brainly.com/question/14210034

#SPJ11

The method that is invoked when an object is created is known as a constructor method.

Constructor in C++ is a special method that is invoked automatically at the time of object creation. It is used to initialize the data members of new objects generally.

The constructor in C++ has the same name as the class or structure. Constructor is invoked at the time of object creation. It constructs the values i.e. provides data for the object which is why it is known as constructors.

Constructor does not have a return value, hence they do not have a return type.

The prototype of Constructors is as follows:

<class-name> (list-of-parameters);

Constructors can be defined inside or outside the class declaration:-

The syntax for defining the constructor within the class:

<class-name> (list-of-parameters) { // constructor definition }

The syntax for defining the constructor outside the class:

<class-name>: :<class-name> (list-of-parameters){ // constructor definition}

Know more about constructor method here:

https://brainly.com/question/13267121

#SPJ11

Answer:

$113.1

Step-by-step explanation:

which is just 6.5% of 580 times 3

A) The probability that half of the six employees score more than 85 and half score less is 5/16.

B) The probability that two employees score less than 80, two between 80 and 90, and two above 90 is 105/134217728.

C) The expected number of employees who need to be tested before 3 scores are higher than 90 is 4.

What is probability?

Probability is a measure of the likelihood or chance that a particular event will occur. It quantifies the uncertainty associated with an outcome in a specific situation or experiment.

A) The probability that half of the six employees score more than 85 and half score less is 5/16. This means that out of the six employees, there is a 5/16 chance that exactly three of them will score more than 85 and the other three will score less.

B) The probability that two employees score less than 80, two between 80 and 90, and two above 90 is 105/134217728. This means that out of the six employees, there is a very small chance, approximately 105 in 134 million, that two will score less than 80, two will score between 80 and 90, and two will score above 90.

C) The expected number of employees who need to be tested before 3 scores are higher than 90 is 4. This means that, on average, it will take testing approximately 4 employees until three of them score higher than 90.

These probabilities and expected values are derived based on the given conditions and assumptions about the scoring distribution and independence of the scores.

To learn more about probability visit:

https://brainly.com/question/23417919

#SPJ4

note that parallel lines have equal gradients.

give the line 2x+3y =5 write it in the form y=mx+c first so that you can be able to know its gradient. Mind you getting the gradient of the given line means finding the gradient of the new equation because they are equal as stated above.

\(2x + 3y = 5 \\ 3y =5 - 2x \\ \frac{3y}{3} = \frac{5}{3} - \frac{2x}{3} \\ y = \frac{5}{3} - \frac{2}{3} x\)

FROM THE GIVEN EQUATION WE CAN NOW SEE THAT THE GRADIENT IS

\( - \frac{2}{3} \)

Meaning the gradient of the new EQUATION sknce it is parallel to the given one will be

\(m = - \frac{2}{3} \)

also.

given the points we can substitute to get the value of the unknown c.

\( - 1= - \frac{2}{3} (3) + c \\ - 1 = -2 + c \\ c = - 1 + 2 \\ c = 1\)

\(y = - \frac{2}{3} x + 1\)

The type of fallacy which is being used in the statement is: Dicto Simpliciter.

A fallacy can be defined as a mistaken or false belief that are based on illogical arguments or reasoning.

In English literature, there are different types of fallacy and these include the following:

Dicto Simpliciter can be defined as a type of fallacy in which a general observation or rule is taken and assumed as generally (universally) true, regardless of the circumstances involved.

In this context, we can reasonably infer and logically deduce that the type of fallacy which is being used in the statement is Dicto Simpliciter.

Read more on fallacy here: https://brainly.com/question/27589479

#SPJ1

Complete Question:

Identify the type of fallacy being used in the statement. Gone with the Wind is the top grossing movie of all time, so it must be the greatest movie of all time.

Post Hoc, Ergo Propter Hoc

Non Sequitur

Dicto Simpliciter

Straw Man

Ad Hominem

False Dilemma

Petitio Principii

Argumentum ad populum

Answer:

C

Step-by-step explanation:

Answer:

n = 322

Step-by-step explanation:

n/7 + 12 = 58

Subtract 12 from each side

n/7 = 58-12

n/7 = 46

Multiply each side by 7

n= 46*7

n = 322

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

If you want me to explain tell me :)

Step-by-step explanation:

or, x + 65° = 180° [ Being Straight line]

or, x = 180° - 65°

or, x = 115°

Therefore the value of x is 115° .

Now,

or, 4x = 4 × 115° = 460° .

The forecast for the number of accidents that will occur in the month of May is 110.

To find the trend equation for forecasting using the least-squares regression method, we need to perform a linear regression analysis on the given data.

Let's assign the variable x to represent the month number (1 for Jan, 2 for Feb, etc.) and y to represent the number of accidents.

Using the given data:

x: 1, 2, 3, 4

y: 30, 40, 60, 95

Step 1: Calculate the means of x (bar) and y (bar):

x(bar) = (1 + 2 + 3 + 4) / 4 = 2.5

y(bar) = (30 + 40 + 60 + 95) / 4 = 56.25

Step 2: Calculate the deviations from the means (dx and dy):

dx = x - x(bar)

= 1 - 2.5, 2 - 2.5, 3 - 2.5, 4 - 2.5

  = -1.5, -0.5, 0.5, 1.5

dy = y - ȳ = 30 - 56.25, 40 - 56.25, 60 - 56.25, 95 - 56.25

  = -26.25, -16.25, 3.75, 38.75

Step 3: Calculate the product of the deviations (dxdy):

dxdy = dx * dy

     = (-1.5) * (-26.25), (-0.5) * (-16.25), 0.5 * 3.75, 1.5 * 38.75

     = 39.375, 8.125, 1.875, 58.125

Step 4: Calculate the squared deviations (dx² and dy²):

dx² = dx * dx

    = (-1.5) * (-1.5), (-0.5) * (-0.5), 0.5 * 0.5, 1.5 * 1.5

    = 2.25, 0.25, 0.25, 2.25

dy² = dy * dy

    = (-26.25) * (-26.25), (-16.25) * (-16.25), 3.75 * 3.75, 38.75 * 38.75

    = 689.0625, 264.0625, 14.0625, 1503.125

Step 5: Calculate the sum of the squared deviations (Σdx² and Σdy²):

Σdx² = 2.25 + 0.25 + 0.25 + 2.25 = 5

Σdy² = 689.0625 + 264.0625 + 14.0625 + 1503.125 = 2470.3125

Step 6: Calculate the sum of the product of the deviations (Σdxdy):

Σdxdy = 39.375 + 8.125 + 1.875 + 58.125 = 107.5

Step 7: Calculate the slope (b):

b = Σdxdy / Σdx² = 107.5 / 5 = 21.5

Step 8: Calculate the y-intercept (a):

a = y(bar) - b * x(bar)

= 56.25 - 21.5 * 2.5

= 56.25 - 53.75

= 2.50

Therefore, the trend equation for forecasting is:

y = 2.50 + 21.50x

To find the forecast for the number of accidents in May (x = 5), substitute x = 5 into the equation:

y = 2.50 + 21.50 * 5

= 2.50 + 107.50

= 110

To know more about number visit:

brainly.com/question/3589540

#SPJ11

Answer:

a

Step-by-step explanation:

Answer:

D. \(y = \frac{18}{6} x\)

Step-by-step explanation:

\(y = \frac{18}{6} x\)

Cross cancel common factor ; 6

\(18\div 6 = 3\\6\div 6 =1\\\\y = 3x\)

Three is the co-efficient of x

Answer: 1 gallon converts to 4 quarts convert to 8 pints convert to 16 cups

Step-by-step explanation:

Answer:

7. According to your line of best fit, what is the arm span of a 74-inch-tall person?

Dont need to do all. Just do thep

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

Learn more about Long division from the link below

https://brainly.com/question/28824872

#SPJ4

The integral to find the volume V is then:

V = ∫[0 to L] 144 dx

What is volume of the solid?

The volume of a solid is a measure of how much area of ​​space an object occupies. It is measured by the number of unit cubes needed to fill the body. It is decided by counting the unit cubes in the solid.

To find the volume of a solid, we need to consider parallel cross-sections perpendicular to the x-axis. Since these cross-sections are square, each square cross-section will have the same area throughout the body.

Consider a representative square cross-section at a given x-coordinate. The length of each side of this square will be equal to the diameter of the corresponding circular disc at this x-coordinate. Since the radius of a circular disk is given as 6, the diameter will be twice the radius, which is 12.

Therefore, the area of ​​a square cross-section at any coordinate is x (12)^2 = 144 square units.

To find the volume of a body, we must integrate the areas of all these square cross-sections over the range of values ​​of x that the body occupies. Since no specific range is mentioned in the information provided, I will assume that the body extends from x = 0 to x = L, where L is the length of the body along the x-axis.

The integral to find the volume V is then:

V = ∫[0 to L] 144 dx

Note: dx represents an infinitesimal change in x.

Note that this integral is just a setup and the actual evaluation of the integral is not required in the question.

To learn more about volume of solid from the given link

https://brainly.com/question/29246646

#SPJ4

Block diagram representation of R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt.

The given equation is R(di/dt)+L(d²i/dt²)+(1/C)i = dV/dt.

The block diagram is an essential tool in the analysis and design of dynamic systems. The blocks represent the interconnected subsystems of the system.

The interconnections and external inputs and outputs are shown by the connections between the blocks.The block diagram representation of the equation R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt is given below.

Therefore, the block diagram representation of the given equation is as follows:

Block diagram representation of R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt.

To know more about linear ODE, visit:

https://brainly.com/question/29191288

#SPJ11

The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

To know more about the word implies visits :

https://brainly.com/question/2507296

#SPJ11

There are 28 numbers in total that are odd numbers greater than 500 with no digit being repeated.

First, there are 18 odd numbers with four digits, and all of them are greater than 500. To see that, starting from the end of the number, there are 3 options for the last digit, 3 for the second last, 2 for the second digit, and 1 for the first digit. Multiplying one gets 3*3*2*1=18.

Second, for numbers with 3 digits, in order to be greater than 500, it must start either with 5 or with 6. If it starts with 5, there are 2 options for the last digit and 2 options for the second digit.

Thus, there are 4 different numbers in this case. Finally, if it starts with 6, then there are 3 options for the last digit and 2 options for the second digit. Thus, there are 6 different numbers in this case.

Complete question: How many different odd numbers greater than 500 can be made using some or all of the digits 1,3,5 and 6 with no digit being repeated?

To know more about numbers visit: brainly.com/question/17429689

#SPJ4

As per the permutations, there as 36 three digit numbers that are greater than 500 and which are odd one also.

The term permutation in math is defined as the way of arranging objects or numbers in order.

Here we have given that we have to identify the 3 digit numbers greater than 500 are odd

Let us make three digit numbers 1st

Here we know that if we want odd number at end then one number from three numbers can come there so

=> 3P1

Then the rest of the two numbers don't matter so

Then it can be written as

=> 3P2

Then the overall combination is written as

=> 3P1 * 3P2=18

Here now let us make four digit numbers

Then the digit odd again and it can be written as

=> 3P1

Here also the rest of the order Doesn't matter so

then it can be written as

=> 3P3 =6

Then the four digit value is

=> 3p1 * 3p3= 18

Therefore, the overall count is written as

=> Overall = 18+18= 36

To know more about Permutation here.

https://brainly.com/question/1216161

#SPJ4

Answer:

1) tan(A) = 12/5

2) tan(39°) = 30/x

3) hypotenuse is the side opposite the right angle; opposite side (the leg opposite the 70° angle) is x; adjacent side (the leg adjacent to the 70° angle) is 3.

tan(70°) = x/3, so x = 3tan(70°) = about 8.2

English workers have an absolute advantage in producing scones, Scottish workers have an absolute advantage in producing sweaters.

English workers have an absolute advantage in producing scones as they can produce 40 scones per hour,

while Scottish workers can only produce 20 scones per hour. On the other hand, Scottish workers have an absolute advantage in producing sweaters as they can produce 2 sweaters per hour, while English workers can only produce 1 sweater per hour.

Absolute advantage refers to the ability of a country or individual to produce a good or service more efficiently than another country or individual.

This means that the country or individual with the absolute advantage is able to produce the same good or service with fewer resources or in less time. In this case, each country has an absolute advantage in producing one of the goods, scones or sweaters.

Thus,English workers have an absolute advantage in producing scones, Scottish workers have an absolute advantage in producing sweaters.

To know more about Profit visit:

brainly.com/question/13934673

#SPJ4

The sine function that has an amplitude of 5, a midline of 2 and a period

of 7/2​ is,

⇒ 5 Sin(7π)x + 2

Since, A sine wave, also known as a sinusoid, is the graph of the sine function. Any curve that can be expressed in the form is referred to as a sinusoid. (A and B are both positive.) Sinusoids are the most generic version of the sine function.

Given the amplitude of the function is 5, the vertical shift is 2, and the period of 7/2

Therefore, the values of constants can be written as,

a = 5

b = (2π)/(7/2) = 7π

d = 2

Substituting the values in the sine function,

a sin b (x-c) + d

= 5 Sin(7π)(x-0) + 2

= 5 Sin(7π)x + 2

Hence, the sine function that has an amplitude of 5, a midline of 2 and a

period of 7/2​ is,

= 5 Sin(7π)x + 2

Learn more about Sine function:

brainly.com/question/12015707

#SPJ1

Answer: The constant of proportionality is 3.25.

Step-by-step explanation: Divide 6.5 by 2, 9.75 by 3, or 13 by 4 and every time you will get an answer of 3.25.

4 x 9 is a multiplication problem, which means 4 is being multiplied by 9. This can also be written as 4 x 9 = 36. 4 multiplied by 9 is equal to 36 because 4 is being added to itself 9 times, resulting in 36.

4 x 9 is a multiplication problem which means we are multiplying 4 and 9 together. This can also be written as 4 x 9 = 36. When multiplying two numbers together, you are adding the first number to itself the second number of times. In this case, 4 multiplied by 9 is equal to 36 because we are adding 4 to itself 9 times: 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36. This can also be written as 4 x 9 = 36, which means that 4 times 9 equals 36.

Learn more about multiplication here:

https://brainly.com/question/25679586

#SPJ4

Answer:

If I'm correct, the answer should be  negative 40/3.

Step-by-step explanation:

Because you first combine multiplied terms into a single fraction, then you multiply all terms by the same value to eliminate fraction denominators. Now you simplify it, by canceling multiplied terms that are in the denominator and then you multiply the numbers. Now you will divide both sides of the equation by the same term. Finally, you will simplify the equation.

(Hope this helps) I had to get a little help myself on this problem)

Answer:

B

Step-by-step explanation:

There is brackets because the points 3 and 5 are included in the line and the range is 3,5 because the range is the y values.

The range of the given graph is [3, 5].

Hence option B is correct.

Using the concept of graph of fucntion defined as:

Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.

In the given graph,

The maximum value is 5 at x = 2

The minimum value is 3 at x = 5

The spread of potential y-values (from minimum y-value to maximum y-value) is referred to as a function's range.

So the range of this graph is bounded in [3, 5].

Hence,

The range of the graph is [3, 5] which is Option B.

To learn more about graph of function visit:

https://brainly.com/question/12934295

#SPJ6

Answer:

A

Step-by-step explanation:

You must multiply the number your buying by the price then you need to multiply by 1.07 because you need 7% or .07 to get the tax but you want to add that to the old number so you need a 1 in front so the answer is c(p) = 1.07(3p) however you still need the $15 gift card so instead you add the 7% into the three dollars you are multiplying by the number then subtract the 15 dollars because you aren't really paying. The reasonable domain is 0 1 2 3 4 because the number 5 would be over the 15 dollar limit.

Raph have $2217.5 in his account.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Raph invest $2000 in an account.

Simple interest for 18 month = 7.25%

Given,

Principal amount = $2000

Interest rate = 7.25%

Time = 18 months

        = 18/12 year

Now,

Since, we know that;

⇒ Simple interest = P × R × T / 100

Substitute all the values, we get;

⇒ Simple interest = P × R × T / 100

⇒ Simple interest = 2000 × 7.25 × 18 / (100 × 12)

                           = $217.5

So, Total amount = Principal amount + Interest rate

                           = $2000 + $217.5

                           = $2217.5

Thus, Raph have total amount $2217.5 in his account.

Learn more about the simple interest visit:

https://brainly.com/question/25793394

#SPJ1