A random sample of n1 = 201 people who live in a city were selected and 73 identified as a "dog person." A random sample of n2 = 91 people who live in a rural area were selected and 56 identified as a "dog person." Find the 99% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person."

It will take the elevator 60 minutes, or 1 hour, to reach a depth of -350 m.

To calculate the time it will take for the elevator to reach -350 m, we need to use the following formula:

Time = Distance ÷ Rate

In this case, the distance is the difference between the starting point (10 m) and the final destination (-350 m), which is:

Distance = -350 m - 10 m = -360 m

Since the elevator is descending, the rate is negative (-6 m/min). Substituting these values into the formula, we get:

Time = (-360 m) ÷ (-6 m/min) = 60 min

Therefore, it will take the elevator 60 minutes, or 1 hour, to reach a depth of -350 m.

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Answer:

a) 10²

b) 10 ⁻³

c) 10⁸

d) 10⁻⁶

Step-by-step explanation:

a) (10³ * 10⁴) ÷ 10⁵ = 10⁷ ÷ 10⁵ = 10²

b) (10⁴ * 10⁵ * 10⁶) ÷ (10⁸ * 10⁹) = 10¹⁵ ÷ 10¹⁸ = 10 ⁻³

c) (10⁵ ÷ 10³)⁴ = (10²)⁴ = 10⁸

d) (10⁵)² ÷ (10²)⁸ = 10¹⁰ ÷ 10¹⁶ = 10⁻⁶

Answer:

1: \(x=3\sqrt{8+y^{2} }\) and the same, but its -3 instead of 3

2: x=9-3y

Answer:

2 one x=9−3y

1 one I don't know

(1) Standard hours allowed for actual output are 6000 Hours.

(2) Standard labor cost allowed is 102,000.

(3) Labor spending variance is $350 unfav.

(4) The labor rate variance is $4600 unfav.

(5) Variable rate is $1150 Fav and efficiency variance is $1000 Fav.

What is labor spending variance?

The labor rate variance, sometimes referred to as the spending variation for direct labor, is calculated by multiplying the number of hours worked by the difference between the actual and standard labor rates per hour.

Given: Erie Company manufactures a mobile fitness device called the Jogging Mate.

The company uses standards to control its costs.

During August, 5,750 hours of direct labor time were needed to make 20,000 units of the Jogging Mate.

The direct labor cost totaled $102,350 for the month.

(1) Standard hours allowed per unit:  18 min      

Actual output: 20000 units        

Standard hours allowed for actual output (20000(18/60)):  6000 Hours

(2) Standard labor hours allowed: 6000 hours      

Standard rate per hour: $ 17        

Standard labor cost allowed: (6000 hours  at 17): 102,000

(3) Labor Spending Variance: (Standard hours*Standard rate)  - (Actual                          hours*Actual rate)

6000 *17 - 102350 = $ 350 Unfav

(4)  Actual labor rate per hour (102350/5750):  $ 17.80 per hour  

Labor Rate variance: Actual hours (Standard rate-Actual rate)             5750 hours (17.00-17.80)=  $ 4600 Unfav

(5) Standard Variable rate per hour: $ 4 per hour      

      Actual rate per hour (21850/5750): $ 3.80 per hour    

Variable rate variance: Actual hours (Standard OH rate-Actual OH rate)  

5750 (4.00-3.80)= $ 1150 Fav  

Variable OH efficiency variance: Standard rate (Standard hours-Actual hours)  

4.00 (6000-5750)= $ 1000 Fav

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Step-by-step explanation:

example:

Answer:

the answer is D.

Step-by-step explanation:

If S, T be sets, then we have proved that  S = T if and only if S \ T = T \ S.

Assume S = T. Then, S \ T = T \ S = {}.

This is because if S = T, then there are no elements in S that are not in T, and vice versa.

Therefore, the difference between the sets is the empty set.

Hence, S \ T = T \ S = {} and we have shown that S = T implies S \ T = T \ S.

Assume S \ T = T \ S.

We will show that S is a subset of T and T is a subset of S, which will imply that S = T.

Let x be an arbitrary element of S.

If x is also in T, then x is not in S \ T = T \ S, which contradicts the assumption S \ T = T \ S.

Therefore, x is not in T.

This means that x is in S \ T, which implies that x is also in T \ S (by the assumption S \ T = T \ S).

But this means that x is in T, which is a contradiction.

Therefore, there are no elements in S that are not in T, so S is a subset of T.

Similarly, let y be an arbitrary element of T.

If y is also in S, then y is not in T \ S = S \ T, which contradicts the assumption S \ T = T \ S.

Therefore, y is not in S.

This means that y is in T \ S, which implies that y is also in S \ T (by the assumption S \ T = T \ S).

But this means that y is in S, which is a contradiction.

Therefore, there are no elements in T that are not in S, so T is a subset of S.

Since S is a subset of T and T is a subset of S, S = T.

Therefore, we have shown that S \ T = T \ S implies S = T.

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The given question is incomplete, the complete question is:

let S, T be sets. prove that S = T if and only if S \ T = T \ S.

The normal approximation for sampling distributions of proportions can be used when the sample size is large enough.

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The distance between City A and City B is 519.75 miles.

Let d be the distance from City A to City B.

\(t_{AB} = \frac{d}{55}\)

where \(t_{AB}\) is the time taken from City A to City B. And

\(t_{BA} = \frac{d}{45}\)

\(\therefore \frac{d}{55} + \frac{d}{45} = 41-20\)

\(\implies 45d+55d = 21\times 45 \times 55\)

\(\implies 100d = 51975\)

\(\therefore d = 519.75 \text{ miles}\)

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Thus, m∠F =  33º for the corresponding angle measures for each similar triangle ΔABC and ΔDEF.

To start, we know that similar triangles have corresponding angles that are congruent. Therefore, we can set up the following proportion:

m∠BAC/m∠EDF = m∠BCA/m∠DFE

Substituting the given angle measures, we get:
(x² - 5x)/(4x + 36) = (4x - 5)/m∠F

To solve for m∠F, we need to isolate it on one side of the equation. First, we can cross-multiply to get:
(4x - 5)(4x + 36) = (x² - 5x)m∠F

Expanding the left side, we get:
16x² + 116x - 180 = (x² - 5x)m∠F

Next, we can divide both sides by (x² - 5x):
(16x² + 116x - 180)/(x² - 5x) = m∠F

Simplifying the left side, we get:
(4x + 29)/(x - 5) = m∠F

Therefore, m∠F = (4x + 29)/(x - 5).

To check our answer, we can plug in a value for x and find the corresponding angle measures for each triangle. For example, if x = 6:

m∠BAC = (6² - 5(6))º = 16º
m∠BCA = (4(6) - 5)º = 19º
m∠EDF = (4(6) + 36)º = 60º

Using our formula for m∠F, we get:
m∠F = (4(6) + 29)/(6 - 5) = 33º

We can see that this satisfies the proportion and therefore our answer is correct.

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Option D is correct.

Extraneous information means irrelevant or unrelated to the problem or issue.

In this question, Samuel's Age is not a matter of concern and totally unrelated to the money he earns by mowing the lawn and cleaning the room

The triple integral of x²y²z² over the given limits is evaluated by integrating with respect to x, y, and z is -243.

Firstly, we integrate x² from π to 0, which gives -8/3. Then, we integrate y² from 0 to 3, which gives 27/3. Finally, we integrate z² from 0 to 3, which gives 27/3. Multiplying all the values together, we get the final answer of -243. Therefore, the value of the given triple integral is -243.

In order to evaluate a triple integral, we must integrate the given function over three variables with respect to their limits of integration. In this case, we are integrating x²y²z² over the limits 0≤x≤2, 0≤y≤3, and 0≤z≤3. We start by integrating with respect to x, then y, and finally z, using the limits given.

Each integral gives us a value which is then multiplied together to get the final answer. It is important to follow the order of integration correctly, and to keep track of the limits for each variable. In this way, we can evaluate the triple integral and find the value of the given function over the given region of integration.

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Answer:

2/5

Step-by-step explanation:

The answer is common sense.

The probability that no two consecutive flips have the same result is \(\frac{1}{16}\).

If a coin is flipped then there are two possible outcomes Head(H) and Tail (T).

So each flip can have 2 possible outcomes. It means 5 flips have \(2^5=32\) possible outcomes.

Among these 32 outcomes only 2 outcomes : HTHTH and THTHT have "no two consecutive flips have the same result".

So the probability that no two consecutive flips have the same result is = \(\frac{2}{32} =\frac{1}{16}\).

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The variable is up against an upper limit. in a maximization problem, a binding less than or equal to (≤)

constraint indicates that the variable associated with the constraint has reached or is at its upper limit. It implies that the variable cannot increase further without violating the constraint.

This constraint acts as a restriction that limits the potential values the variable can take in the optimization problem.

When a constraint is binding, it means that the optimal solution to the problem is achieved when the constraint is satisfied with equality. In the context of a maximization problem,

if a variable is up against an upper limit and the constraint is binding, it suggests that the variable is already maximizing its value within the given constraint.

In contrast, if the constraint is not binding, it means that the variable has not reached its upper limit and has the potential to increase further while still satisfying the constraint. In such cases, the variable can be increased to improve the objective function value and optimize the problem further.

It's important to note that the shadow price, also known as the dual value or marginal value, represents the rate of change of the objective function with respect to a constraint. It indicates the sensitivity of the objective function to changes in the constraint.

The sign of the shadow price is not determined by the direction of the constraint (≤ or ≥), but rather by the problem formulation and the specific constraints and variables involved.

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Answer:

Just put in the values in the equation for example 4(1)-5<7 and solve it if the eqution is true at the end than that the right answer

Step-by-step explanation:

Answer:

x = 2

x < 2

x < 3

Step-by-step explanation:

2x + 5 = 9

Since there is an addition sign in front of 5, you must do the opposite: subtraction. Subtract 5 from 9.

9 - 5 = 4.

Lastly, divide the difference by the number in front of x (2).

2x = 4

4 ÷ 2 = 2

x = 2

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

2x + 5 < 9

Again, subtract 5 from 9.

9 - 5 = 4

Lastly, divide the difference by the number in front of the x (2).

2x = 4

4 ÷ 2 = 2

x < 2

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

4x - 5 < 7

Since there is a subtraction sign in front of the 5, you must do the opposite: addition. Add 5 to 7.

5 + 7 = 12

Lastly, divide the sum by the number in front of the x (4).

4x = 12.

12 ÷ 4 = 3

x < 3

Answer:

704π m^2

Step-by-step explanation:

Given data

radius r= 16m

Slant height l= 28m

Required

The surface area of the cone

The expression for the surface area is given as

T.S.A=πrl+πr^2  

substitute

T.S.A=π*16*28+π*16^2

T.S.A=448π+256π

T.S.A=704π m^2

Hence the T.S.A is 704π m^2

The result of executing the code segment is -2

The complete question is added at the end of this solution as an attachment

The code in the question is given as

IF X > Y

  DISPLAY X + Y

ELSE

  DISPLAY X - Y

Given that

X = 3 and Y = 5

When x and y are compared, we have the truth value to be

Y > X

This means that the executed segment is

DISPLAY X - Y

So, we have

DISPLAY 3 - 5

Evaluate

DISPLAY -2

Hence. the displayed result is -2

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Answer:

bc=ad

Step-by-step explanation:

The given logarithmic expression 2log 2+ 3log x - 1/2 [log(x+3)+log(x+2)] can be written as single logarithm as log [(2^2)(x^3)/(x+3)^1/2 (x+2)^1/2] .

A single logarithm by virtue of the laws of logarithms as follows;

= 2log 2+ 3log x - 1/2 [log(x+3)+log(x+2)]

= log(2)^2 + log x^3 - log(x+3)^1/2 + log(x+2)^1/2

= log [(2^2)(x^3)/(x+3)^1/2 (x+2)^1/2]

Therefore, the single logarithm is log [(2^2)(x^3)/(x+3)^1/2 (x+2)^1/2].

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The complete question is

'Rewrite the following expression as a single logarithm: 2log 2+ 3log x - 1/2 [log(x+3)+log(x+2)].'

The product will be a real number when x = 4 and y = -5.

We have the product of complex numbers:

\((4 + 5i)*(x + yi)\)

We want this to be a real number, then the second complex number must be the complex conjugate of the first one, so we must have:

\((x + yi) = (4 - 5i)\)

Now, if we take the product, we get:

\((4 + 5i)*(4 - 5i)\\\\4*4 - 4*5i + 4*5i - (5*5)*i^2 = 16 + 25 = 41\)

So we can see that the outcome is a real number.

Then we must have x = 4 and y = -5.

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Answer: C

Step-by-step explanation:

Answer:

121.9

Step-by-step explanation:

1% of 106 =  1.06

1.06 x 15 = 15.9

106 + 15.9 = 121.9

Answer:

19.1 inches

Step-by-step explanation:

Circumference divide by diameter = 3.14 (C/d = 3.14)

60/d = 3.14

multiply both sides of the equation by d

60 = 3.14d

divide both sides by 3.14

d = 60/3.14

d = 19.108

d = 19.1

In a shortest path problem, the right-hand side (RHS) value for the starting node has a value of 0. This indicates that the shortest path from the starting node to itself has a cost of 0.

In summary, the RHS value for the starting node in a shortest path problem is 0, indicating that the shortest path from the starting node to itself has a cost of 0.

The RHS value is used in the context of the Dijkstra's algorithm, which is commonly used to solve shortest path problems. In this algorithm, a priority queue is used to store the nodes that have not yet been visited, sorted based on their tentative distances from the starting node. Initially, the starting node is assigned a tentative distance of 0, indicating that it is the source node for the shortest path. The RHS value is used to update the tentative distance of a node when a shorter path is discovered. When a node is added to the priority queue, its tentative distance is compared to its RHS value, and the smaller of the two values is used as the node's priority in the queue. By setting the RHS value of the starting node to 0, we ensure that the starting node always has the highest priority in the queue and is processed first by the algorithm.

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Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Answer:

C.15.5r

Step-by-step explanation:

Answer:

13.5r

Step-by-step explanation:

Just took it

Answer:

-6m^14

Step-by-step explanation:

Answer:

It's 24m^17

Step-by-step explanation:

I got it right on my test

Answer:

2) 10.1

Step-by-step explanation:

Answer:

Detergent A uses exactly 1 fluid ounce per load more than detergent B.

Step-by-step explanation:

We are given that Detergent A contains 48 fluid ounces and cleans 16 loads of dishes. Detergent B contains 76 fluid ounces and cleans 38 loads of dishes.

We have to compare that which detergent is accurate.

As we know that the formula for finding fluid ounce per load is given by;

 Fluid ounce per load =  \(\frac{\text{Amount of fluid ounces}}{\text{Amount of loads}}\)

Fluid ounces = 48

Loads of dishes = 16

So, fluid ounce per load =  \(\frac{48}{16}\)

                                         = 3 fluid ounce per load

Fluid ounces = 76

Loads of dishes = 38

So, fluid ounce per load =  \(\frac{76}{38}\)

                                         = 2 fluid ounce per load

So, we can clearly see that Detergent A uses exactly 1 fluid ounce per load more than detergent B, ie. (3 - 2) = 1 fluid ounce per load.

The upper control limit (UCL) at a 99% confidence interval with a z value of 3 is 0.165.(option c)

In statistical process control, the UCL is a key parameter used to determine the upper boundary for acceptable variation in a process. To calculate the UCL for a defect rate, we use the formula UCL = p' + z * sqrt(p'(1-p')/n), where p' is the proportion of defects in the sample, z is the z value corresponding to the desired confidence level, and n is the sample size.

In this case, we have collected 20 samples of 100 items each, and the total number of defective items is 75. Therefore, the proportion of defects in the sample is 75/2000 = 0.0375. Using the formula mentioned earlier, with a z value of 3 and n value of 100, we can calculate the UCL as follows: UCL = 0.0375 + 3 * sqrt(0.0375 * (1-0.0375)/100) ≈ 0.165.

Therefore, the correct answer is C. 0.165.

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Today is Saturday, because tomorrow will be Sunday and the day after will be Monday two days after will be the day before Thursday, Wednesday

We have,

The day after tomorrow is two days before Thursday.

Since, tomorrow will be Sunday and the day after will be Monday two days after will be the day before Thursday, Wednesday.

Hence, Today is Saturday.

Therefore, Today is Saturday, because tomorrow will be Sunday and the day after will be Monday two days after will be the day before Thursday, Wednesday.

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