refer to the following frequency distribution of days absent during a calendar year by employees of a manufacturing company. days absent number of employees 0 up to 3 2 3 up to 6 25 6 up to 9 14 9 up to 12 19 12 up to 15 42 how many employees were absent six or more days? multiple choice 61 75 17 25

Answer:

x = 500/81

Step-by-step explanation:

The degrees of freedom for the numerator and denominator for the critical value of F are _3 and 56, respectively_.

The samples, each comprised of 15 observations, were taken from the four populations.

The determine the degrees of freedom for the numerator and denominator for the critical value of F is given below:

k = 4

n = 15

Total degree of freedom;

= nk - 1

= 59

For numerator, it is

= k -1

= 4 - 1

= 3

For denominator it is

= T - (k -1 )

= 59 - 3

= 56

The degrees of freedom for the numerator and denominator for the critical value of F are _3 and 56, respectively_.

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The probability of no Hispanic being selected is 0.0496 (rounded to four decimal places).

Probability is a branch of mathematics that deals with the study of random events or experiments, and the likelihood or chance of their occurrence. It is a measure of the degree of certainty or uncertainty of an event, expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event is certain to occur.

We can model the number of Hispanics selected as jurors with a binomial distribution, where n=8 is the number of trials (selecting jurors), and \($p=0.44$\) is the probability of success (selecting a Hispanic juror).

The probability of selecting no Hispanic jurors is given by:

\($P(X=0) = \binom{8}{0}(0.44)^0(1-0.44)^8 \approx 0.0496$\)

So the probability of no Hispanic being selected is 0.0496 (rounded to four decimal places).

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The probability of no Hispanic being selected is 0.0496 (rounded to four decimal places).

Probability is a branch of mathematics that deals with the study of random events or experiments, and the likelihood or chance of their occurrence. It is a measure of the degree of certainty or uncertainty of an event, expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event is certain to occur.

We can model the number of Hispanics selected as jurors with a binomial distribution, where n=8 is the number of trials (selecting jurors), and \($p=0.44$\) is the probability of success (selecting a Hispanic juror).

The probability of selecting no Hispanic jurors is given by:

\($P(X=0) = \binom{8}{0}(0.44)^0(1-0.44)^8 \approx 0.0496$\)

So the probability of no Hispanic being selected is 0.0496 (rounded to four decimal places).

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Step-by-step explanation:

you can just put in some values to check.

I actually used p =2 and q=3

the It will be

2^3-1 + 3^2-1 = 1 (mod 2×3)

2^2 +3^1 = 1 (mod 6)

4+3= 1 (mod6)

7= 1 (mod6)

which is true.

therefore p^(q-1) + q^( p-1) = 1 ( mod pq) is true

To show that p^(q-1) + q^(p-1) = 1 (mod pq), we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) = 1 (mod p). Using this theorem, we can first show that p^(q-1) = 1 (mod q), since q is a prime number and p is not divisible by q. Similarly, we can show that q^(p-1) = 1 (mod p), since p is a prime number and q is not divisible by p.

Therefore, we can write:

p^(q-1) + q^(p-1) = 1 (mod q)
p^(q-1) + q^(p-1) = 1 (mod p)

By the Chinese Remainder Theorem, we can combine these two equations to obtain:

p^(q-1) + q^(p-1) = 1 (mod pq)

Thus, we have shown that p^(q-1) + q^(p-1) = 1 (mod pq).
We'll use Fermat's Little Theorem to show that p^(q-1) + q^(p-1) = 1 (mod pq).

Fermat's Little Theorem states that if p is a prime number and a is an integer not divisible by p, then:
a^(p-1) ≡ 1 (mod p)

Step 1: Apply Fermat's Little Theorem for p and q:
Since p and q are prime numbers, we have:
p^(q-1) ≡ 1 (mod q) and q^(p-1) ≡ 1 (mod p)

Step 2: Add the two congruences:
p^(q-1) + q^(p-1) ≡ 1 + 1 (mod lcm(p, q))

Step 3: Simplify the congruence:
Since p and q are prime, lcm(p, q) = pq, so we get:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

In your question, you've mentioned that the result should be 1 (mod pq), but based on Fermat's Little Theorem, the correct result is actually:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

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Answer:

Angle <E is approximately 40 degrees, and angle <D is approximately 50 degrees

Step-by-step explanation:

Since angle <F is clearly 90 degrees, we can find angle E using the cosine function that relates the adjacent side to the angle with the hypotenuse:

\(cos(\theta)=\frac{adj}{hyp} \\cos(E)=\frac{6.5}{8.5}\\E = arccos(\frac{6.5}{8.5})\\E\approx 40.12^o\)

And we use the sin function to deal with angle <D:

\(sin(\theta)=\frac{opp}{hyp} \\sin(D)=\frac{6.5}{8.5}\\D = arcsin(\frac{6.5}{8.5})\\D\approx 50^o\)

Answer:

1/4

Step-by-step explanation:

25% is 1/4

Answer:

true

Step-by-step explanation:

The nth Maclaurin polynomial is a Taylor series expansion of a function f(x) about x=0 up to the nth degree. For f(x) = sin(x) and n = 5, the 5th-degree Maclaurin polynomial can be found using the formula:

P_n(x) = Σ [f^(k)(0) * x^k] / k!
where f^(k)(0) is the k-th derivative of f(x) evaluated at x=0, k! is the factorial of k, and the summation runs from k=0 to n. For sin(x), the derivatives are cyclic, and the only non-zero terms occur when k is odd. The 5th-degree Maclaurin polynomial for sin(x) is:
P_5(x) = x - (x^3)/3! + (x^5)/5!
P_5(x) = x - (x^3)/6 + (x^5)/120

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you take 99 divided by 22 = 4.5

I don't understand what exactly your teachers meaning so I would also suggest asking but the answer compered to everything I've learned in math would be 4.5.

have a good day/night!! :)

when a sample statistic is measured with nominal data, the only appropriate proportion measure is sample percentage.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol %.

when a sample statistic is measured with nominal data, the only appropriate proportion measure is sample percentage.

A small portion of the population is surveyed to produce sample percentages. A sample percentage is what you get when you calculate a percentage from a small portion of the population.

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Answer:

x=9

Step-by-step explanation:

alright so first we eliminate the -15 and to do that we add 15 on both sides:

-3x-15+15=12+15

-3x=27

Now we divide 3 on both sides to make the equation equal to x

\( \frac{-3x}{-3} = \frac{27}{-3} \)

x=9

And that's your answer, you're welcome :)

Answer:

her score would be -22

Step-by-step explanation:

20-42=-22

A piecewise function is a function that is defined by different equations on different intervals.

Graphing a piecewise function on a graph is a great way to visualize its behavior and understand its properties. One of the most popular and user-friendly ways to graph piecewise functions is using the online graphing calculator Desmos.

Here is a step-by-step guide on how to graph a piecewise function on Desmos:

Go to the Desmos website

and click on the "Graphing Calculator" button.

On the left side of the screen, you will see a text box labeled "y=". This is where you will enter the equation of your piecewise function. You can enter multiple equations by separating them with commas.

To graph a piecewise function, you will need to enter different equations for different intervals.

For example, if you have a piecewise function that is defined by the equation y = x^2 for x < 0 and y = x + 2 for x ≥ 0, you would enter y = x^2, x < 0 and y = x + 2, x ≥ 0 in the "y=" text box.

Once you have entered your equations, press the "Graph" button to see the graph of your piecewise function on the screen.

If you want to adjust the graph, you can use the sliders on the left side of the screen to change the range of the x- and y-axis. You can also use the buttons at the top of the screen to zoom in and out or pan around the graph.

To see the graph of multiple piecewise functions at once you can use the "Add another equation" button under the "y=" text box to add additional equations.

You can also use the "Table" tab to see the values of the function at certain x-values and also can use the "Slider" tab to change the value of x and see how that effects the graph of the function.

By following these steps, you can easily graph piecewise functions on Desmos and visualize the behavior of the function. Desmos is a great tool that allows you to experiment with different equations and see how they affect the graph of the function.

It is a great way to understand the properties of piecewise functions and to visualize them in multiple ways.

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Answer:

I don't see a question. if you comment it on this answer I can try to help

Point Form: (1, -3)

Equation Form: x = 1 , y = -3

The three types of consulting services that audit firms are now prohibited from providing to clients that are public companies are:

1. Bookkeeping services: Audit firms are prohibited from providing bookkeeping services to their audit clients. Bookkeeping involves the recording, organizing, and maintaining of financial transactions.

By prohibiting audit firms from providing bookkeeping services, it helps to ensure independence and objectivity in the audit process. This separation reduces the risk of potential conflicts of interest that could compromise the integrity of the audit.

2. Legal services: Audit firms are also prohibited from providing legal services to their audit clients. Legal services include activities such as drafting legal documents, providing legal advice, and representing clients in legal proceedings.

The prohibition on providing legal services aims to maintain independence and prevent any potential conflicts of interest that could arise if the audit firm were to also provide legal advice or services to the audited company.

3. Financial information systems design and implementation: Audit firms are further prohibited from designing and implementing financial information systems for their audit clients.

This involves the development and implementation of computerized systems that record and process financial data. The prohibition on providing financial information systems design and implementation services helps to avoid any potential bias or lack of objectivity in the audit process,

as the audit firm should remain independent and not be involved in the design and implementation of the systems they are auditing.

By prohibiting audit firms from providing these consulting services, it helps to ensure that the audit process is conducted objectively and independently, without any conflicts of interest.

This enhances the credibility and reliability of financial statements and promotes transparency and trust in the financial markets.

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Answer:

this is a kite so angle bod is congruent to angle a

a = 120 degrees

360 degrees in a kite. 360 - 102 - 102 - 58 = 98

B= 98 degrees

The set is linearly dependent because at least one of the vectors is a multiple of another vector. So, the correct answer is C.

The given vectors are:

v1 = 2v2 = 4v3 = 78 -2 3

To determine whether the vectors V1, V2, and V3 are linearly independent or linearly dependent, we'll use the following method:

We'll create a linear combination of the vectors that has a non-zero answer.

v1 * a + v2 * b + v3 * c = 0

Where a, b and c are scalars that are not all equal to zero.

If the answer is zero, the set of vectors is linearly independent; otherwise, it is linearly dependent.

Therefore, we'll substitute the given values in the above equation.

2a + 4b + 7c = 0

8a - 2b + 3c = 0

If we multiply the first equation by -4 and add it to the second equation, we obtain:-

34c = 0c = 0

This implies that 2a + 4b = 0.

If we divide the first equation by 2, we get: a + 2b = 0

If we multiply the first equation by 3 and subtract it from the third equation, we obtain:

-5a + 5b = 0a = b

Thus, v1 = 2v2.

Since one of the vectors is a multiple of the other, the given set of vectors is linearly dependent.

Therefore, the correct answer is C.

The set is linearly dependent because at least one of the vectors is a multiple of another vector.

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Answer:

  47 years

Step-by-step explanation:

The population decay can be modeled by an exponential function of the form ...

  p = a·b^t

where a is the initial population, and b is the growth factor.

__

The growth factor is related to the given growth rate by ...

  growth factor = 1 + growth rate

  b = 1 + (-3.5%) = 1 -0.035 = 0.965

The initial population is given as a=80, so the exponential function is ...

  p = 80·0.965^t

__

We want to find the value of t when p=15. This is solved using logarithms.

  15 = 80·0.965^t

  15/80 = 0.965^t . . . . . . . . . . . divide by 80

  log(15/80) = t·log(0.965) . . . . take logs

  t = log(15/80)/log(0.965) ≈ 46.985 . . . . divide by the coefficient of t

After 47 years, the population will drop below 15 lions.

Answer:

38

Step-by-step explanation:

A=11

T=2

U=16

AxU (11x2)=22

22+16

38

38 is the final answer

Answer:

I think it would be 38

Step-by-step explanation:

v=16+11(2)

Predictive data analytics can be used by the oil exploration company to address their problem by (a) building predictive models to identify high-potential drilling sites based on historical data and (b) using machine learning algorithms to analyze various data sources and identify patterns that lead to successful oil well locations. These approaches will help the company save costs by focusing their exploratory drilling efforts on sites with higher chances of success.

1. Building predictive models: The company can gather historical data on drilling sites, including factors such as geological features, soil characteristics, and measurements from gravitational and seismic instruments. By using this data, they can develop predictive models using machine learning algorithms.

These models will analyze the data patterns and identify the characteristics that correlate with successful oil well locations. The predictive models will provide a probability score or ranking for each potential drilling site, indicating the likelihood of finding viable oil wells.

2. Analyzing various data sources: Another approach is to utilize predictive analytics to analyze multiple data sources simultaneously. The company can integrate data from ordinance survey maps, aerial photographs, rock and soil samples, and other relevant sources.

Machine learning algorithms can be applied to identify patterns and relationships between the collected data and successful oil well locations. This analysis will help the company prioritize drilling sites based on the probability of success, reducing the need for extensive exploratory drilling.

For both proposed approaches, the data required would include historical data on drilling sites, geological features, soil characteristics, measurements from gravitational and seismic instruments, ordinance survey maps, aerial photographs, and other relevant data sources.

To utilize the insights provided by the predictive analytics solutions, the company would need the capacity to store and process large volumes of data. They would also require data analysis tools and infrastructure to run the predictive models and generate actionable insights in a timely manner.

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Answer:

The fraction 49/35 reduced is: 1  14/35

Step-by-step explanation:

Answer:

13 inches

Step-by-step explanation:

In any circle, the radius is always half of the diameter.

So, the diameter can be found by multiplying the radius by 2, and the radius can be found by dividing the diameter by 2.

Since the diameter is 26 inches, we can divide this by 2 to get the radius

26/2

= 13

The radius is 13 inches

Answer:

\( \bf \huge13\)

Step-by-step explanation:

we know that,

finding the radius

⟼ diameter = 26 inches

⟼ radius = diameter / 2

⟼ radius = 26 / 2 inches

⟼ radius = 13 / 1 inches

⟼ radius = 13 inches.

∴ radius is 13 inches .

Answer:

1) 122 = Angle DFA

2) 144 = Angle COB

3) 124 = CE

4) 58 = EOB

Step-by-step explanation:

I think this is correct. Correct me if im wrong

Using proportion, Tomas can distribute the juice to approximately 22 friends.

Given that,

Total amount of juice = 3 quarts

Amount of juice distributed to each friend = 1/8 liters

1 liter = 1.057 quarts

1/8 liters = 1.057/8 quarts

              = 0.132125 quart

Amount of juice with each friend = 0.132125 quart

Number of friends who got 0.132125 quart = 1

Number of friends who got 3 quarts = 3 / 0.132125 = 22.7 friends

                                                                                    ≈ 22 friends

Hence 3 quarts of juice can be distributed to 22 friends.

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The complete question in english is given below.

Tomas wants to distribute 3 quarts of orange juice to his friends in 1-eighth-liter glasses.

How many friends can he distribute the juice?

The triangle in the image is a right triangle. We are given a side and an angle, and asked to find another side. Therefore, we should use a trigonometric function.

Trigonometric Functions: SOH-CAH-TOA

---sin = opposite/hypotenuse, cosine = adjacent/hypotenuse, tangent = opposite/adjacent

In this problem, looking from the angle, we are given the adjacent side and want to find the opposite side. This means we should use the tangent function.

tan(40) = x / 202

x = tan(40) * 202

x = 169.498

x (rounded) = 169 meters

Answer: the tower is 169 meters tall

Hope this helps!

Answer: There are 37 students in the drama club and 27 students in the drama club.

Step-by-step explanation:

Let x= number of students in the drama club.

y= number of students in the yearbook club.

As per given, we have

x+y=64  

x=10+y    

A system of linear equations that represents this situation:

x+y=64   (i)

x=10+y     (ii)

Put value of x from (ii) in (i)

10+y+y=64

⇒ 2y= 54

⇒ y = 27  [Divide both sides by 2]

Put value of y in (ii) , we get

x= 10+27 = 37

Hence, there are 37 students in the drama club and 27 students in the drama club.

There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club. How many students are in the drama club? The yearbook club?

74

Answer:

370.85

Step-by-step explanation: