Mean: 2.454
Stand Dev: 1.038
63 blue employees, 87 green employees
a) Consider only the Blue employees. Construct a 95% confidence interval for the average tenure of all
blue employees. Round confidence interval limits to nearest hundredth.

Answer:

Step-by-step explanation:

The Venn diagram representing the situation is shown in the attached photo.

G represents the set of people that use the gym.

P represents the set of people that use the swimming pool.

T represents the set of people that use the track.

Since 1 person uses the 3 facilities, it means that

Number of persons that use gym and pool only is 15 - 1 = 14

Number of persons that use pool and track only is 14 - 1 = 13

Number of persons that use gym and track only is 10 - 1 = 9

Number of persons that use gym only is

65 - (14 + 1 + 9) = 41

Number of persons that use pool only is

51 - (14 + 1 + 13) = 23

Number of persons that use track only is

44 - (9 + 1 + 13) = 21

N represents the number of people that use none of the facilities. Since there are 130 people in a sports centre, it means that

41 + 23 + 21 + 9 + 14 + 13 + 1 + N = 130

122 + N = 130

N = 130 - 122

N = 8

Therefore, the probability that a person doesn't use any facilities is

8/130 = 0.062

 \(\frac{4}{65}\) is the required probability.

A set is an unorganized well-defined collection of similar types of objects.

Eg : {1,2,3,4,5} or {Science, Maths, English}

Given:-

Total people (n) = 130

People using gym (G) = 65

People using swimming pool (P) = 51

People using track (T)  = 44

(Gym U pool) = 15

(pool U track) = 14

(Gym U track) = 10

(Gym U track U pool) = 1

Using venn diagram :

Total participating people are 41 + 23 + 21 + 14 + 9 + 13 + 1 = 122

since total people are 130, non participants are 130 - 122 = 8

Probability of an event = \(\frac{favourable}{total}\) = \(\frac{8}{130} = \frac{4}{65}\)

Thus, the probability that a random person doesn't uses any facility is \(\frac{4}{65}\)

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Answer:

m<NOQ = 139°

Step-by-step explanation:

Since lines KM and NP are parallel, alternate exterior angles KLJ and QOP are congruent.

m<QOP = m<KLJ = 41°

Angles NOQ and QOP are a linear pair and are supplementary, so the sum of their measures is 180°.

m<NOQ + m<QOP = 180°

m<NOQ + 41° = 180°

m<NOQ = 139°

The Huffman code for a weighted coin toss with probability ż of heads assigns "0" to heads and "1" to tails. The average bits per message are ż² for the two-at-a-time code and -ż log₂ ż - (1- ż) log₂ (1- ż) for the one-at-a-time code. The efficiency difference depends on ż and is given by ż² + ż log₂ ż + (1- ż) log₂ (1- ż). For a fair coin toss, the two-at-a-time code is 0.5 bits more efficient.

The resulting probability tree is,

          1-z

         /   \

       z       1-z

The codewords for the two messages are,

Message 1: Heads

Code: 0

Message 2: Tails

Code: 1

The average bits per message is then:

Average bits per message = (1 x ż² + 1 x ż²) / 2

= ż²

The average bits per message for a one-at-a-time Huffman code is given by:

Average bits per message = -Σ(pᵢ log₂ pᵢ)

where pᵢ is the probability of symbol i (in this case, either heads or tails). For a weighted coin toss with probability ż of heads and probability 1- ż of tails, we have:

p_heads = ż

p_tails = 1 - ż

Plugging these probabilities into the formula,

Average bits per message = -ż log₂ ż - (1- ż) log₂ (1- ż)

To find this difference, we subtract the average bits per message for the one-at-a-time code from the average bits per message for the two-at-a-time code:

Difference in efficiency = ż² - [-ż log₂ ż - (1- ż) log₂ (1- ż)]

Simplifying this expression,

Difference in efficiency = ż² + ż log₂ ż + (1- ż) log₂ (1- ż)

This expression depends on the value of ż. For example, if ż = 0.5 (a fair coin toss),

Difference in efficiency = 0.5² + 0.5 log₂ 0.5 + 0.5 log₂ 0.5 = 0.5

So the two-at-a-time Huffman code is 0.5 bits more efficient on average than the one-at-a-time Huffman code for a fair coin toss.

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The more on these factors forecasters must rely, the more innovative a new product or service design is: Subjective Estimates.

Option (e) is correct.

A subjective estimate is a specific type of estimate that is founded on a person's subjective evaluation or in-depth comprehension of the possibility of a specific outcome.

A subjective estimate only takes into account the subject's ideas and prior experiences rather than employing data or exact calculations.

Individual subjective evaluations are highly biased and differ from person to person.

Contrarily, a subjective estimate is incredibly prone to revision, even when only one person's viewpoint is taken into account.

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To add a single edge to a graph to create an Euler path, we must connect two existing vertices with an odd degree.

In graph theory, an Euler path is a path that visits every edge of a graph exactly once. However, not all graphs have an Euler path. If a graph has an Euler path, it must have either zero or two vertices with an odd degree. In this scenario, we are given a graph and are asked to add a single edge to create an Euler path.

To add a single edge to the graph, we must connect two existing vertices that have an odd degree. This is because adding a new vertex would change the degree of the graph and potentially affect the existence of an Euler path. Therefore, we must carefully consider the degree of each vertex before adding the edge.

Let's consider a graph:

     A

    / \

   B---C

  / \ / \

 D---E---F

In this graph, vertices B, E, and F have an odd degree. To create an Euler path, we must connect two of these vertices with a new edge. Let's choose B and E, and add the edge (B, E) to the graph.

    A

    / \

   B---C

  / \ / \

 D---E---F

Now, the graph has only one vertex with an odd degree, which is C. This means that the graph has an Euler path that starts at C, visits every edge exactly once, and ends at A.

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Answer:

Undefined

Step-by-step explanation:

Slope is equal to the change in y over the change in x.

m = (y₂ - y₁) / (x₂ - x₁)

Let your points (5, 6) be (x₁, y₁) and (5,-8) be (x₂, y₂). Therefore you have

m = (-8 - 6) / (5 - 5) = -14 / 0

Dividing by zero will lead you to have an undefined slope

The function g defined based on the function f, g(x) = f(x) + k, indicates that if the value of k = 7, the graph of g is shifted 7 units upwards compared to the graph of f

The transformation of a function is another function that changes the original function into another function based on specified or defined operations on the original function.

The function type represented by the function f = A linear function

The definition of the function g is g(x) = f(x) + k

The formula for the transformation of a  function, y = -a·f(-(x ± h)) ± k, indicates that we get;

+k = The vertical shift of the function upwards

-k = The vertical shift of the function downwards

Therefore, if the value of k in the function, g(x) = f(x) + k, is 7, it represents a vertical shift of the graph of the function, f(x), upwards, by 7 units

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Answer:

distributive

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x5x7x8x2÷8=?

This is Right answer....

I hope you understand....

give me Brainliest.....

Thanks....

PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction. The solution to the Expression (3^0 * 8^2)^-2 is 1/4096.

The expression (3^0 * 8^2)^-2, the order of operations, which is typically referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Step 1: Simplify the exponent expressions within the parentheses:

(3^0 * 8^2) = (1 * 64) = 64

Step 2: Rewrite the expression with the simplified value:

(64)^-2

Step 3: Apply the exponent rule for a negative exponent:

(64)^-2 = 1 / (64)^2

Step 4: Evaluate the expression within the parentheses:

(64)^2 = 64 * 64 = 4096

Step 5: Rewrite the expression with the simplified value:

1 / 4096

Therefore, the solution to the expression (3^0 * 8^2)^-2 is 1/4096.

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Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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Answer: 2.5

\(\frac{p}{a}=\frac{1}{2} => a=2p\\\\\frac{a}{b}=\frac{2}{3}=> b=\frac{3}{2}a=3p\\\\\frac{b}{c}=\frac{5}{1}=>c=\frac{1}{5} b=\frac{3p}{5}\\\\\frac{c}{r}=\frac{3}{2}=>\frac{3p}{5r}=\frac{3}{2}=>\frac{p}{r}=\frac{3}{2}:\frac{3}{5}=2.5\)

Step-by-step explanation:

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

The answer is 13x2 + 10x - 11

Step-by-step explanation:

if you find the area of each square/rectangle and add them together, you get that answer

Answer:

D is the answer.

Step-by-step explanation:

area of a rectangle : length * breadth

here first rectangle has breath: 5x+3 and length 2x-1

                       : 10x²-5x+6x-3

                       : 10x²+x-3

here 2nd rectangle has breath: (3x-2) and length: (x+4)

                                    : 3x²-2x+12x-8

                                    : 3x²+10x-8

                                 : 13x²+11x-11

Therefore D is correct answer.

The sum of all the perfect squares between $15$ and $25$, inclusive, minus the sum of all the other integers between $15$ and $25$, inclusive, is \($-164$\).

To find the sum of all the perfect squares between $15$ and $25$, we need to list them out: $16$, $25$. The sum of these perfect squares is $16+25=41$.

To find the sum of all the other integers between $15$ and $25$, we can use the formula for the sum of an arithmetic series. The sum of an arithmetic series is equal to the average of the first and last term, multiplied by the number of terms. In this case, the first term is $16$ and the last term is $25$, so there are $10$ terms. The average of the first and last term is \($\frac{16+25}{2}=20.5$\). Therefore, the sum of all the other integers between $15$ and $25$ is $20.5\times 10 = 205$.

Now we can subtract the sum of all the other integers from the sum of the perfect squares to get our final answer: $41-205 = -164$.

Therefore, the sum of all the perfect squares between $15$ and $25$, inclusive, minus the sum of all the other integers between $15$ and $25$, inclusive, is $-164$.

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All closed intervals of length 1 in which a function has a unique zero, we need to find all pairs of zeros that are exactly 1 unit apart and consider the intervals between them as described above.

To find all closed intervals of length 1 in which a function has a unique zero, we need to look for intervals where the function changes sign exactly once. This is because if a function has a unique zero, it must change sign from positive to negative or negative to positive at that point.

Let's call the function f(x). To find these intervals, we can use the Intermediate Value Theorem. This theorem states that if a function is continuous on a closed interval [a, b] and takes on values f(a) and f(b) at the endpoints, then it must also take on every value between f(a) and f(b) somewhere on the interval.

So, to apply this theorem, we need to find values of x such that f(x) = 0. Then, we can look at the intervals between these values and see if f(x) changes sign exactly once on any of them.

Let's say we find two zeros of the function at x = a and x = b, where a < b. Then, we can consider the intervals [a, a+1] and [b-1, b] (assuming these intervals have length 1). If f(x) is positive on the interval [a, a+1] and negative on the interval [b-1, b], or vice versa, then f(x) must change sign exactly once on each of these intervals and therefore has a unique zero in each interval.

In general, to find all closed intervals of length 1 in which a function has a unique zero, we need to find all pairs of zeros that are exactly 1 unit apart and consider the intervals between them as described above.

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Answer:

S=720

Step-by-step explanation:

25$ of 240 =60

60×12months=720

Given that, Lela plans to read 25 pages per day. Let x be the number of days she will take to read the book completly,

Therefore, Lela will take 9 days to completly read the book.

Given that, Thaddeus has already read 45 pages of book. Therefore, the reamaining pages are 180.

The, the expression becomes,

Thus, she will complkete the book in 9 days.

Therefore, the statement 1 is true.

Statement 2 is false. The expression is f(x)=20x+45.

The statement 3 is also true.

If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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Answer:

A: dense and solid

E: located near a star

Step-by-step explanation:

got it right on the assignment

Answer:

1 to 1/3

Step-by-step explanation:

The ratio is simply the relation between two groups of things. For example you have 1/3 cups of water for every cup of flour. As we can see, when we add just one cup of flour, the amount of water needed increases by 1/3. this means that the very minimum of water needed is 1/3. (since the ratio must be simple) This means that it takes 3 cups of flour to make a whole cup of water. this also means that in relation to the 1/3 cup of water, 1 cup of flour is needed. this means the ratio is 1 to 1/3 because for every cup of flour, 1/3 cup of water is needed. Hope this helps!!!

Answer:

7 cups = 3.5 pints

Step-by-step explanation:

Answer:

-7 2/3 + (-5 1/2) + 8 3/4 = -4 5/12

The probability that a student who had a dog also had a cat would be = 7/25.

To calculate the possible outcome of the given event, the formula for probability should be used and it's given below as follows. That is;

Probability = possible outcome/sample space

possible outcome = 7

sample space = 7+2+3+13 = 25

Probability = 7/25

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Answer:

X=5

Step-by-step explanation:

Answer:

12x^5

Step-by-step explanation:

(-2x)(-6x^4)

Multiply the numbers

-2 * -6 = 12

Multiply the variables

x* x^4 = x^5

12x^5

Using unitary method, turkey's temperature after 55 minutes is 120.815° Also, it will take approximately 68 minutes for the turkey to cool down to 105°.

Now, According to the question:

What is unitary method?

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Reduction in temperature after 30 minutes = 185° - 150° = 35°

Reduction in temperature after 1 minute = 35/30 = 1.167°

Reduction in temperature after 55 minutes = 55 × 1.167 = 64.185°

Temperature after 50 minutes = 185° - 64.185° = 120.815°

Decrease in temperature when the turkey has cooled down to 105° = 185° - 105° = 80°

Time taken by the turkey to cool down 80° = 80/1.167 = 68.55 minutes.

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Answer:

11.5 or 11 1/2

Step-by-step explanation:

Step-by-step explanation:

\( { ({3}^{3} )}^{4} \)

\( = {3}^{3 \times 4} \)

\( = {3}^{12} \)

\(or \)

\( = 531441\)