dental claims experience was collected on 6,480 policies. there were a total of 9,720 claims on these policies. the following table shows the number of dental policies having varying numbers of claims. number of claims number of policies 0 1,282 1 2,218 2 1,856 3 801 4 235 5 81 6 or more 7 total 6,480 calculate the chi-squared statistic to test if a poisson model with no predictors provides an adequate fit to the data.

According to the textbook, polygraph testing (lie detection) screening is prohibited as a condition of employment outside of government jobs, which means option (a) is correct.

The use of polygraph testing, also known as lie detection, as a screening tool for employment purposes is generally restricted. The rationale behind this restriction is based on concerns regarding the reliability and validity of polygraph tests in accurately detecting deception. Polygraph testing has been found to have limitations, as false positives and false negatives can occur, leading to inaccuracies in the results.

Due to these concerns, many jurisdictions have implemented legal restrictions on the use of polygraph testing in employment settings. It is important to note that there may be certain exceptions to this general prohibition. In some cases, such as certain high-security government positions or jobs that involve protecting the public from potential harm, polygraph testing may be permitted based on a countervailing need.

However, in the broader context of employment screening, polygraph testing is generally prohibited outside of government jobs.

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Step-by-step explanation:

to fine the average add all the numbers and divide the 5

18+12+11+10+12/5 =53.4

Answer:

Step-by-step explanación

0.02

When the mean number of points scored per game next season is 60, the model predicts that the mean home attendance will be 11902

The function that predicts the attendance is given as:

\(y = -7628+325.5x\)

When the mean number of points scored per game next season is 60, it means that the value of x is 60

i.e. x = 60

Substitute 60 for x in the function

So, we have:

\(y = -7628+325.5 \times 60\)

Evaluate the product

\(y = -7628+19530\)

Add -7628 and 19530

\(y = 11902\)

Hence, the model predicts that the mean home attendance will be 11902

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Answer:

y= -1x + 4 or y= -x + 4

Step-by-step explanation:

Answer:

x-intercept = 2/3

y-intercept = -1/3

Step-by-step explanation:

Here, we want to get the x and y intercept of the given linear equation

the x-intercept is the value of x when y is 0 while the y-intercept is the value of y when x = 10

For 3x - 6y = 2

Let x = 0

-6y = 2

y = -2/6 = -1/3

Let y = 0

3x = 2

x = 2/3

X-intercept is (2/3,0)

y-intercept is (0,-1/3)

9514 1404 393

Answer:

  linear

Step-by-step explanation:

We notice that adjacent x-values all differ by 1.

Similarly, we notice that all y-values differ by 0.5. When differences are constant, the function is linear.

The average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.

We have,

Frequencies:

a = 0.15 = 15,

b = 0.25 = 25,

c = 0.20 = 20,

d = 0.35 = 35,

e = 0.05 = 5,

So,

Now,

According to the question,

We will make Huffman tree,

i.e.

a = 0.15 = 15,

b + c = 25 + 20 = 45

d + e = 35 + 5 = 40,

Now,

a + b + c + d + e = 100

So,

a = 11 = 2 digits

b = 101 = 3 digits

c= 100 = 3 digits

d= 01 = 2 digits

e= 00 = 2 digits

And,

We know that,

Total bits required to represent Huffman code = 12.

So,

Now,

The average code length = a * 2 digits + b * 3 digits + c * 3 digits + d * 2 digits + e * 2 digits

i.e.

The average code length = 15 × 2 + 25 × 3 + 20 × 3 + 35 × 2 + 5 × 2

On solving we get,

The average code length = 245

Hence we can say that the average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.

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It is a given that the times of taxi trips to the airport terminal on Friday mornings from a certain location are exponentially distributed with a mean of 25 minutes.

We need to find the probability that a random morning taxi trip on Friday takes more than 40 minutes. We know that the exponential distribution function is given by:

$$f(x) = frac{1}{mu}e^{frac{x}{mu}}

Where μ is the mean of the distribution. Here, μ = 25 minutes. The probability that a random morning taxi trip on Friday takes more than 40 minutes is given by:

P(X > 40) = int_{40}^{infty} f(x)= int_{40}^{\infty} frac{1}{25} e^{frac{x}{25}} dx= e^{frac{40}{25}}= e^{frac{8}{5}}= 0.3012.

Hence, the probability that a random morning taxi trip on Friday takes more than 40 minutes is 0.3012.

Therefore, the probability that a random Friday morning taxi trip takes more than 40 minutes is 0.3012.

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It should be noted that while the result of multiplying 508 by 27 using compatible numbers will be 15300, the correct answer is 13716.

How should the information be illustrated?

As a general rule, compatible numbers are those that can be easily added, subtracted, and multiplied.

It should be noted that in this instance, 508 x 27 will be compatible with 510 x  30, giving a value of 15300.

Therefore, it should be noted that 508 times 27, when multiplied by compatible numbers, will equal 15300, while 13716 would be the result of conventional multiplication.

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Answer:

(a). \(\frac{33}{40}\) ; (b). 33 to 40

Step-by-step explanation:

Use "magic fraction" \(\frac{Part}{Whole}\)

(a). Distance covered by runner is 33 yards

Whole distance is 40 yards

The portion of the race that the runner has completed is

\(\frac{33}{40}\)

(b). The portion of the race that the runner has completed is 33 to 40

Answer:

D. ASA

Step-by-step explanation:

ASA (Angle-Side-Angle) is a proof of congruence when two triangles share two angles and the side between them.

Answer:

However, note further that the congruent sides are not included sides of the two relevant angles, in which case it won't be ASA but AAS.

Therefore, the two angles are congruent by the AAS Congruence Theorem and the correct answer is C.

Step-by-step explanation:

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Answer:

\(p = \frac{214}{400} = .535 = 53.5\%\)

Answer:

6 + 8 + 10 = 24

Step-by-step explanation:

Take 6 and 15 and compare those two, you will have to multiply 6 by 2.5 to get to 15 and that's the dilation, then dive 20 and 25 by 2.5, you'll get 8 and 10.

6 + 8 + 10 =24

Answer:  \(\sqrt{2}/2\) which is Choice B

This is the same as writing \(\frac{\sqrt{2}}{2}\)

The second "2" is not under or inside the square root.

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

Explanation:

Refer to the unit circle below. I've highlighted the angle 45 degrees and its corresponding sine value. It's the y coordinate of the point on the unit circle, for this particular angle.

Therefore, \(\sin(45^{\circ}) = \frac{\sqrt{2}}{2}\)

--------------

You could alternatively draw out a 45-45-90 triangle. Let x be the leg length and the hypotenuse is 1 unit long. Solve \(x^2+x^2 = 1\) for x and you should get \(x = \frac{\sqrt{2}}{2}\) as the length of each leg.

Then take the ratio of the opposite over hypotenuse to find the same answer mentioned above.

Arithmetic overflow error converting varchar to data type numeric is an error message that occurs when attempting to convert a string (varchar) data type to a numeric data type in SQL Server, and the resulting numeric value is too large to be stored in the specified data type. This error can occur when performing calculations that exceed the maximum range of the numeric data type, or when the string value contains non-numeric characters.

When attempting to convert a varchar value to a numeric value in SQL Server, the system checks if the string value contains only numeric characters and then attempts to convert it to the specified data type. If the resulting numeric value is larger than the maximum value that can be stored in the data type, an arithmetic overflow error occurs.

For example, if you have a varchar column with the value '12345678901234567890' and you try to convert it to a numeric data type with a maximum of 18 digits, an arithmetic overflow error will occur because the resulting value is larger than the maximum value that can be stored in the data type.

To avoid this error, you can either increase the precision and scale of the numeric data type to accommodate larger values or ensure that the string value contains only numeric characters before attempting to convert it. You can also use the TRY_CONVERT function instead of CONVERT function to handle the conversion errors gracefully.

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Answer:

Hey love! x = 6

Step-by-step explanation:

because 13 x 6 = 78

HOPE THIS HELPS!

Answer:

x = 6

Work -

13x = 78

divide 13 on both sides to isolate x. 78 divided by 13 gives us 6, and 13/13 =1.

1 times x is x,  as you can see, we have isolated x on one side. On the other side, we got 6, so x = 6

The expected value of M does not change in a predictable manner when sample size increases; it can increase, decrease, or stay the same.

The expected value of M, or the mean of a sample, is determined by the values of the individual elements that comprise it. As such, when the sample size increases, the expected value of M could increase, decrease, or remain constant, depending on the particular values of the individual elements in the sample. This is because the expected value of M is the average of the individual elements and the contribution of each element to the average depends on its value and the number of elements in the sample. Therefore, the expected value of M does not change in a predictable manner when sample size increases. Depending on the individual elements in the sample, the expected value of M could be higher, lower, or constant.

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Answer:

Step-by-step explanation:

Formula for exponential function:

Use two points from the graph to determine the function:

Substitute the coordinates and work out the values of a and b:

The function is:

The number of visitors after 5 months:

Answer:

yes

Step-by-step explanation:

Since there is one value of y for every value of x, this relation is a function.

The relation is a function.

To determine the order of the reaction, more information is needed, such as the reaction equation or experimental data on concentration changes over time. The order of a reaction cannot be determined solely from the rate constant.

The rate constant, k, of the gaseous reaction in the NIST kinetics database is 9.20×10−10 cm3⋅molecule−1⋅s−1 at 298 K. To convert this rate constant to units of M−1⋅s−1, we need to use the Avogadro's number and the volume of the reaction vessel:

k = 9.20×10−10 cm3⋅molecule−1⋅s−1
1 mole = 6.022×1023 molecules
Volume = 1 cm3 = 1×10−6 L

So, k in units of M−1⋅s−1 = 9.20×10−10 cm3⋅molecule−1⋅s−1 × (1 L/1000 cm3) × (1 mole/6.022×1023 molecules) = 1.52×10−17 M−1⋅s−1.

To convert the rate constant to units of Torr−1⋅s−1, we need to use the ideal gas law and the pressure of the reaction vessel:

PV = nRT
P = nRT/V

At 298 K, 1 atm = 760 Torr.

So, k in units of Torr−1⋅s−1 = 9.20×10−10 cm3⋅molecule−1⋅s−1 × (1 atm/101325 Pa) × (760 Torr/1 atm) = 5.83×10−14 Torr−1⋅s−1.

To determine the order of this reaction, we need more information about the stoichiometry of the reaction and the dependence of the rate on the concentration of reactants. Without this information, we cannot determine the order of the reaction.

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Answer:

D.

Step-by-step explanation:

The polynomial cannot be factored with rational numbers.

The area of the triangle QRS is: 140 sq.units

The area of the triangle by box method is:

Area of triangle = Area of box rectangle - Area of 3 triangles

Thus:

Area of box rectangle = 15 * 20 = 300 sq.units

Area of small triangle 1 = ¹/₂ * 4 * 20

= 40 sq.units

Area of small triangle 2 = ¹/₂ * 11 * 15

= 82.5 sq.units

Area of small triangle 3 =  ¹/₂ * 5 * 15

= 37.5 sq.units

Thus:

Area of shaded triangle = 300 - (40 + 82.5 + 37.5)

= 140 sq.units

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There are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

In this problem, we want to find the number of ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

Since every man must be diametrically opposite a woman, we can pair each man with one woman. There are 5 men and 9 women, so there are 5 pairs. We need to find the number of ways to seat these 5 pairs of people in a circle.

To do this, we can first seat one pair in any position. Then, we can seat the second pair anywhere but opposite the first pair. This gives us 11 positions for the second pair. Continuing in this way, we see that there are 11 * 6 * 5 * 4 * 3 = 7920 ways to seat the 5 pairs of people in a circle.

So, there are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

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Assuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametrically opposite a woman?

Answer:

An online class is a course conducted over the Internet. They are generally conducted through a learning management system, where students can view their course syllabus and academic progress, as well as communicate with classmates and their course instructor.

Step-by-step explanation:

y = 1/12 * x + 1 an equation in slope-intercept form of the line having the given slope and y -intercept.

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent.

The given line has a slope of 1/12 and it passes through (0, 1)

To determine the intercept, we would substitute x = 0, y = 1 and m = 1/12 into y = mx + c. It becomes

1 = 1/12 × 0 + c

c = 1

The equation becomes

y = 1/12 * x + 1

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\(x_1+x_2=6x_1x_2\)

We're going to use Vieta's formula to solve the problem.

\(x_1+x_2=-\dfrac{b}{a}\\\\x_1x_2=\dfrac{c}{a}\)

Therefore

\(x_1+x_2=-\dfrac{-3}{2}=\dfrac{3}{2}\\\\x_1x_2=\dfrac{4m}{2}=2m\)

And so

\(\dfrac{3}{2}=6\cdot2m\\\\4m=\dfrac{1}{2}\\\\m=\dfrac{1}{8}\)

T is the midpoint of the line, meaning that in line SU, line ST and line TU are of equal length, since T is at the middle of the line.

\(9x=4x+25\)

\(5x=25\)

\(x=5\)

\(ST=9x\)

\(ST=9*5\)

\(ST=45\)

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A limited access highway initially had an unspecified number of exits, but the original number of exits was decreased by some number due to an exit reduction. Therefore, the highway originally had 76 exits before the reduction.

However, the highway still has 88 exits remaining after the reduction.

In this case, we are tasked with finding out how many exits the highway originally had.

Let the original number of exits be x.

Therefore, we have the equation:

x - number of exits lost = 88

We know that the number of exits lost is the original number of exits minus the current number of exits.

So we have:

x - (x - number of exits lost) = 88

Simplifying, we get:

number of exits lost = 88

We can then use this information to find the original number of exits:

x - (x - 12) = 88 (since the highway lost 12 exits)x - x + 12 = 88

Simplifying, we get:12 = 88 - xx = 88 - 12

Therefore, the original number of exits was x = 76.

Therefore, the highway originally had 76 exits before the reduction.

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The x-intercept is 5 and the y-intercept is 2.

The standard form of the line is 2x + 5y = 10.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. In other words, the x -intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0.

Hence, the x-intercept is 5 and the y-intercept is 2.

Let's find the equation in standard form.

Ax + By = C

where

Using slope intercept form,

y = mx + b

where

Hence, using (5, 0) and (0, 2)

m = 2 - 0 / 0 - 5

m = - 2 / 5

Therefore.

y = - 2 / 5x + 2

Hence, let's multiply through by 5 to eliminate the fraction

5y = -2x + 10

Therefore, the standard form is as follows:

2x + 5y = 10

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