I need help thank you. here is the question...............................

The required answer is every 5 times we roll the dice and don't get a sum of 7, we can expect to get a sum of 7 once.

To find the probability of odds against a sum of 7 when rolling a pair of dice one time, we need to first determine the number of ways to get a sum of 7 versus the number of ways to get any other sum.
There are a total of 36 possible outcomes when rolling a pair of dice, as there are six possible outcomes for each die (1, 2, 3, 4, 5, or 6). To get a sum of 7, there are 6 possible combinations: 1+6, 2+5, 3+4, 4+3, 5+2, and 6+1. Therefore, the probability of rolling a sum of 7 is 6/36 or 1/6.

To find the odds against rolling a sum of 7, we can use the formula:
Odds against = (number of ways it won't happen) : (number of ways it will happen)
So the number of ways it won't happen (i.e. rolling any sum other than 7) is 36-6, or 30. Therefore, the odds against rolling a sum of 7 are:
Odds against = 30 : 6
Simplifying, we get:
Odds against = 5 : 1
This means that for every 5 times we roll the dice and don't get a sum of 7, we can expect to get a sum of 7 once.

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(a) (i) 0.3174 = 31.74% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 317.

(b) (i) 0.0026 = 0.26% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 3.

(C) Reduces the process standard deviation and causes no change in the number of defects.

When the distribution is normal, we use the z-score formula.

In a set with mean  and standard deviation, the score of a measure X is given by:

         Z = X-μ /σ

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Question a:

We have that: μ = 10 and σ = 0.12

(i). Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

  Z = X-μ /σ

⇒ Z = 9.88 - 10/0.12

⇒ Z = -1, has a p-value of 0.1587

⇒ 2× 0.1587 = 0.3174

This means 0.3174 = 31.74% probability of a defect

(ii)  Calculate the expected number of defects for a 1,000-unit production run.

The expected number of defects is 31.74% of 1000. So

0.3174*1000 = 317.4

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 317.

Question (b):

The mean remains the same, but the standard deviation is now

(i) Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

   Z = X-μ /σ

⇒ Z = 9.88 -10/0.04

⇒ Z = -3

⇒ Z = -3, has a p-value of 0.0013

which means 2× 0.0013 = 0.0026

from which 0.0026 = 0.26% probability of a defect

(ii) Calculate the expected number of defects for a 1,000-unit production run. The expected number of defects is 31.74% of 1000. Thus,

⇒ 0.0026*1000 = 2.6

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 3.

(C) The advantage of reducing process variation, thereby causing problem limits to be at a greater number of standard deviations from the mean Reduces the process standard deviation and causes no change in the number of defects.

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An exponential function that models the population of bluegill over the last 5 years is \(y = 2,802.62(0.6)^x\).

In this exercise, we would plot the years on the x-axis of a scatter plot while the population would be plotted on the y-axis of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an exponential equation for the line of best fit on the scatter plot.

Based on the scatter plot shown below, which models the relationship between the years and the population, an exponential equation for the line of best fit is modeled as follows:

\(y = 2,802.62(0.6)^x\)

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The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).

Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.

In the given graph, the plane intercepts are:

x-intercept : 1

y-intercept : ∞  (since the planes does not intercept y-axes)

z-intercept = 1/2

Take the reciprocal:

1/1 = 1

1/∞ = 0

1/(1/2) = 2

Hence, the miller indices are (102)

The graph in your question is missing. Most likely it was like on the attached picture.

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Functions A and C are linear, while the remaining functions are non-linear due to the presence of exponents or quadratic terms.

A and C are the linear functions among the given functions. A. y = 6.20x + 5: The form y = mx + b, where "m" denotes the slope (6.20) and "b" denotes the y-intercept, indicates that this is a linear function. The chart of this capability is a straight line, and the pace of progress of y as for x is consistent.

B. y = 6.50(1.05)^x: Because it involves an exponent, specifically (1.05)x, this function is not linear. The presence of a type implies that the pace of progress of y as for x isn't consistent however rather increments or diminishes dramatically as x increments.

C. y = 5.25x: Because it has the form y = mx, where "m" is the slope, this function is a linear one (5.25). It is a straight line with a constant rate of change for y in relation to x and passing through the origin (0, 0).

D. y = 0.8(x)^2: This capability isn't straight since it incorporates the squared term (x^2). The degree of a linear function is 1, indicating that the highest exponent is 1. When graphed, the presence of (x)2 indicates a quadratic relationship that produces a curve.

E. y = 5.25x + x^2: Because it includes both the linear term (5.25x) and the quadratic term (x2), this function is not linear. The presence of the quadratic term demonstrates a non-direct relationship, bringing about a bend on the chart.

The remaining functions are non-linear due to the presence of exponents or quadratic terms, whereas functions A and C are linear.

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Answer:

Standard Form:

\(y = {x}^{3} - 3 {x}^{2} + 3x - 4\)

Another Form:

\(y = (x - 1)^{3} - 3\)

Step-by-step explanation:

The type of graph or function is called Cubic Function

The type of graph is represented by the equation of y = a(x-h)³+k

Thus our equation for the graph is

\(y = {(x - 1)}^{ 3} - 3\)

In case if you want standard form.

Simplify the expression.

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

\(y ={x}^{3} - 3 {x}^{2} + 3x - 1 - 3 \\ y = {x}^{3} - 3 {x}^{2} + 3x - 4\)

Answer:

x = 77, y = 63

Step-by-step explanation:

x - 5 = 72 ( corresponding angles )

x = 77

The 3 angles on the straight line sum to 180°, that is

x - 5 + 51 + y - 6 = 180, that is

72 + 51 + y - 6 = 180

117 + y = 180 ( subtract 117 from both sides )

y = 63

System of Equations

Given the system of equations:

x + z = 6

2x + 4z = 1

To solve the system by the elimination method, we must make the coefficients of one variable opposite.

It's required to eliminate the z-term which means we must make the coefficients of z opposite on both equations.

The coefficient of z is 4 in the second equation, so to eliminate the variable, we must multiply the first equation by -4 as follows:

-4x - 4z = -24

Now when we add both equations, the z is eliminated.

Answer: Multiply equation A by −4.

Answer:

If you are asked if a point is a solution to an equation, we replace the variables with the given values and see if the 2 sides of the equation are equal (so is a solution), or not equal (so not a solution). A solution to a system of equations means the point must work in both equations in the system.

Answer:

Step-by-step explanation:

The volume is the product of three dimensions, so the ratio of volumes is the cube of the scale factor:

The central angle of the sector with a radius of 5 cm and an area of 5π cm² is 72 degrees.

To find the central angle of a sector, we need to use the formula that relates the sector area to the central angle and the radius of the circle. The formula for the area of a sector is:

Area = (θ/360) * π * r^2

Where:

Area is the sector area

θ is the central angle in degrees

π is a mathematical constant (pi)

r is the radius of the circle

In this case, we are given the radius of the circle as 5 cm and the sector area as 5π cm². Let's substitute these values into the formula and solve for θ.

5π = (θ/360) * π * 5^2

Simplifying the equation:

5π = (θ/360) * 25π

To eliminate π, we can divide both sides of the equation by π:

5 = (θ/360) * 25

Now, let's isolate θ by multiplying both sides of the equation by (360/25):

5 * (360/25) = θ

Simplifying the equation:

θ = 72

Therefore, the central angle of the sector is 72 degrees.

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Convenience sampling is likely to get the largest number of subjects in the shortest period of time, as it involves selecting individuals who are readily available and willing to participate.

Option b. Convenience sampling is correct.

However, it may not necessarily provide a representative sample and may introduce bias into the results.

Random sampling, on the other hand, is the most reliable method of obtaining a representative sample, but may take longer to recruit participants.

Cluster sampling and network or snowball sampling can also be effective methods for obtaining a large sample, depending on the research question and available resources.

Convenience sampling is correct.

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The given set have two integers whose sum is 15 because if we selcet the element from the given set then there sum is equal to 15.

In the given question, let s = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. suppose six integers are chosen from s.

We have to check there be two integers whose sum is 15.

As we know that,

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The letter Z or the chalkboard Z is frequently used to represent the set of integers in mathematical terminology.

There are total 10 elements.

We have to choose two element from the given set which sum is equal to 15.

If we choose 3 and 12 then there sum is 15.

Similarly, if select (5,10), (6,9), (7,8) the sum of all these selection is 15.

So the given set have two integers whose sum is 15.

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Answer:

D. The distribution of differences between each individual student’s times on each of the two tests (time with rap – time with country) must be approximately Normal.

Step-by-step explanation:

For a paired test, there are two measured values of a particular point, here what is measured is the time taken for each of rap and country music by each student.

The difference :

t2 - t1 = time with rap music - time with country music.

The number of samples usually associated with t distribution is usuall y very small (n ≤ 30).

Answer:

$22,880

Step-by-step explanation:

40 (hours a week) * 52 (weeks in a year) = 2,080

2080  * 11 (dollars an hour) = 22,880

So unless I a messing up somewhere I think it is $22,880  :)

The value of x is 13.85.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the figure,

(7x + 1)° and (6x - 1)° makes a straight angle.

This means,

(7x + 1) + (6x - 1) = 180

7x + 1 + 6x - 1 = 180

13x = 180

x = 180/13

x = 13.85

Thus,

x is 13.85°

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Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

Step-by-step explanation:

\(14y - 2 = 40 > > 14y = 42 > > y = 3\)

Answer:

y=3

Step-by-step explanation:

Remember PEMDAS

Historical scientists deal with falsification by rigorously analyzing evidence, using peer review and scholarly discourse, and revising hypotheses based on new discoveries and interpretations.



Historical scientists deal with falsification by employing rigorous methodologies and critical analysis of evidence. They strive to gather as much relevant data as possible to test hypotheses and theories. This is done through meticulous research, including the examination of primary sources, archaeological artifacts, historical records, and other forms of evidence. Historical scientists also engage in peer review and scholarly discourse to subject their findings to scrutiny and criticism.

The mechanism used by historical scientists to falsify hypotheses involves a combination of evidence-based reasoning and the application of established principles of historical analysis. They aim to construct coherent and logical explanations that are supported by the available evidence. If a hypothesis fails to withstand scrutiny or is contradicted by new evidence, it is considered falsified or in need of revision. Historical scientists constantly reassess and refine their hypotheses based on new discoveries, reinterpretation of existing evidence, and advancements in research techniques. This iterative process helps to refine our understanding of the past and ensures that historical knowledge remains dynamic and subject to revision.

Therefore, Historical scientists deal with falsification by rigorously analyzing evidence, using peer review and scholarly discourse, and revising hypotheses based on new discoveries and interpretations.

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We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:

d^2y/dx^2 + (chx)^2 * y = 0

Where:

y(x) is the deflection of the beam at position x,

d^2y/dx^2 is the second derivative of y with respect to x,

ch(x) is the hyperbolic cosine function.

To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.

Substituting this assumed solution into the differential equation, we get:

k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0

Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:

(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0

For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:

A + A * chx^2 = 0

B + B * chx^2 = 0

Simplifying these equations, we have:

A * (1 + chx^2) = 0

B * (1 + chx^2) = 0

Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:

1 + chx^2 = 0

Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:

1 + (1 - (sinx)^2) = 0

Simplifying further, we get:

2 - (sinx)^2 = 0

Solving for (sinx)^2, we find:

(sin x)^2 = 2

Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

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Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Answer:

It is(-1,5)

Step-by-step explanation:

You just divide the (-3,15) by 3 and you get your answer.

Answer:

(-1 , 5)

Step-by-step explanation:

Find the coordinates of the point after dilation:

A (-1,5) and B (-3,4)

Answer:

\(9.8 \times 10 { -}^{3} \)

Answer:

yes -9 Is greater than -10

Answer:$139.88

Step-by-step explanation:

215,75-75.87 is 139.88

Answer:

x = 1

Step-by-step explanation:

Given

\(\frac{x}{2}\) - \(\frac{4}{5}\) + \(\frac{x}{5}\) + \(\frac{3x}{10}\) = \(\frac{1}{5}\)

Multiply through by 10 ( the LCM of 2, 5 and 10 ) to clear the fractions

5x - 8 + 2x + 3x = 2 , that is

10x - 8 = 2 ( add 8 to both sides )

10x = 10 ( divide both sides by 10 )

x = 1

answer

answer in picture.

☺☺☺☺☺☺☺

Answer:

x>350

Step-by-step explanation:

150+x>500

Simplify both sides of the inequality.

x+150>500

Subtract 150 from both sides.

x+150−150>500−150

Answer:

x>350