A trucking company would like to compare two different routes for efficiency. Truckers are randomly assigned to two different routes. Twenty truckers following Route A report an average of 50 ​minutes, with a standard deviation of 5 minutes. Twenty truckers following Route B report an average of 54​minutes, with a standard deviation of 4 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers.

​a) Find a​ 95% confidence interval for the difference in the commuting time for the two routes.

​b) Does the result in part​ (a) provide sufficient evidence to conclude that the company will save time by always driving one of the​ routes? Explain.

Answer:

It takes three months to clean all the windows.

Step-by-step explanation:

The building is cleaned four times a year.

Answer:

y = x - 5

Step-by-step explanation:

x is input

y is output

output, y, is 5 less than input, x

y = x - 5

Answer:puntos

Step-by-step explanation:

Afilados

Answer:

Answer is 15

Step-by-step explanation:

Sqrt of 230 is 15.165....

Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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the correct answer is: iii. use blocking when conducting an experiment.

Decreasing the sample size and increasing the significance level will increase the probability of rejecting the null hypothesis, but they will not increase the power of the test.

Using blocking when conducting an experiment can increase the power of the test by reducing the variability within blocks and increasing the variability between blocks. This can lead to a more precise estimate of the treatment effect and a higher probability of detecting a significant difference between the treatment groups.

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Answer:

0.38

Step-by-step explanation:

0.38 is a decimal and 38/100 or 38% is the percentage for 19/50.

If the function is \((x-3)^{-2}\) and  f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.

Given function is \((x-3)^{-2}\) and  f(4) − f(1) = f '(c)(4 − 1).

In this question we have to apply the mean value theorem, which says that given a secant line between points A and B, there is at least a point C that belongs to the curve and the derivative of that curve exists.

We begin by calculating f(2) and f(5):

f(2)=\((2-3)^{-2}\)

f(2)=1

f(5)=\((5-3)^{-2}\)

f(5)=1

And the slope of the function:

\(f^{1}\)(x)=\(f(5)-f(2)/(5-2)\)

\(f^{1}\)(c)=0

Now,

\(f^{1} (x)=-2*(x-3)^{-3}\)

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

=0

-2 is not equal to 0. So there is not any answer.

Hence if the function is \((x-3)^{-2}\) and  f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.

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It is not possible to accurately determine the number of folds it would take to reach Mars based on the information given. The number of folds a piece of paper can achieve is limited by its size and thickness, as well as the physical properties of paper. The statement that a piece of paper can only be folded about seven times is a common myth but not a factual limitation. However, reaching Mars through folding a piece of paper is not feasible, as space travel requires advanced technology and spacecraft capable of traversing vast distances.

To estimate the number of folds it would take to reach Mars, we need to consider the distance between Earth and Mars, which can vary depending on their relative positions in their orbits around the Sun.

On average, the distance between Earth and Mars is about 225 million km. Assuming we could fold a piece of paper to reach Mars, we would need to calculate the number of folds required to cover this distance.

Let's assume each fold doubles the thickness of the paper. If we start with a standard thickness of 0.1 mm, after each fold, the thickness would be multiplied by 2. Therefore, the thickness of the paper after n folds would be 0.1 mm * 2^n.

To cover the distance of 225 million km (225,000,000,000 meters) with folded paper, we would need to find the number of folds (n) that satisfies the equation:

0.1 mm * 2^n ≥ 225,000,000,000 meters

By solving this equation, we can estimate the number of folds required to reach Mars. However, it is important to note that this is a purely hypothetical scenario and does not reflect the actual possibility or practicality of reaching Mars by folding paper.

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To accumulate $2,176,097.00 in his retirement account by age 65, Derek needs to make annual deposits of $5,000.00 starting on his 27th birthday and ending on his 65th birthday, assuming an 8.00% interest rate.

To determine the annual deposits Derek needs to make, we can use the future value of an ordinary annuity formula. First, we calculate the number of years between Derek's 25th and 65th birthdays, which is 65 - 25 = 40 years. Next, we calculate the future value of the retirement account using the given interest rate of 8.00%. Using the formula:

Future Value = Present Value * (1 + interest rate)^number of periods

In this case, the future value is $2,176,097.00, the interest rate is 8.00%, and the number of periods is 40. We can rearrange the formula to solve for the present value:Present Value = Future Value / (1 + interest rate)^number of periods

Substituting the values:Present Value = $2,176,097.00 / (1 + 0.08)^40 = $123,529.31 (rounded to 2 decimal places)

Now, we need to find the annual deposit amount. Since Derek starts making deposits on his 27th birthday and ends on his 65th birthday, he makes deposits for 65 - 27 = 38 years.Annual Deposit = Present Value / ((1 + interest rate)^number of periods - 1)Substituting the values:

Annual Deposit = $123,529.31 / ((1 + 0.08)^38 - 1) = $5,000.00 (rounded to 2 decimal places)Therefore, Derek must make annual deposits of $5,000.00 into his retirement account starting on his 27th birthday and ending on his 65th birthday to accumulate $2,176,097.00 by the time he turns 65.

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The measurement that could be a surface area measure is D. 27.9 mm². The unit "mm²" represents square millimeters, which is a measurement of surface area.

A surface area is the measurement of the outside area of an object or shape.

A surface area usually measures the surfaces of an object like the sides, top, and bottom.  

It is measured in square units like square inches or square meters.

It is an important concept that is used in different areas like geometry (like a cone, cylinder, rectangular prism, etc.), physics, and engineering.

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Using linear approximation, the estimated value of ∛7 is approximately 11/6.

To estimate the value of ∛7 using linear approximation, we can use the concept of the tangent line approximation. We choose a value of 'a' close to 7 to minimize the error.

Let's choose 'a' as 8, which is close to 7. The equation of the tangent line to the function f(x) = ∛x at x = a is given by:

T(x) = f(a) + f'(a)(x - a)

Here, f(x) = ∛x, so f'(x) represents the derivative of ∛x.

Taking the derivative of ∛x, we have:

\(f'(x) = 1/3 * x^{-2/3}\)

Substituting a = 8 into the equation, we get:

T(x) = ∛8 + \((1/3 * 8^{-2/3})(x - 8)\)

Simplifying further:

T(x) = 2 + \((1/3 * 8^{-2/3})(x - 8)\)

To estimate ∛7, we substitute x = 7 into the equation:

T(7) = 2 + \((1/3 * 8^{-2/3})(7 - 8)\)

Calculating the expression:

\(T(7) = 2 + (1/3 * 8^{-2/3})(-1)\)

Now, we need to evaluate the expression for T(7):

\(T(7) ≈ 2 + (1/3 * 8^{-2/3})(-1)\) ≈ 2 - (1/3 * 1/2) ≈ 2 - 1/6 ≈ 11/6

Therefore, using linear approximation, the estimated value of ∛7 is approximately 11/6.

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Answer:

Total number of students = 360

Total number of girls = 120

Total number of boys = x / ?

120/240= 1/2

50%

Step-by-step explanation: To find out the percent of the boys you first

subtract the whole amount of students which is 360 students in total to the number of girls (120) resulting 240. 240 in ratio is 1/2. 1/2 is 50%.

(Not sure, if this helps or not. I try my best to answer questions to make the asker to understand! Sorry, I tried. :c)

Answer:

Step-by-step explanation:

boody boody

Answer:

It would be 5000

Step-by-step explanation:

It would be 500 b/c the number is a greater number that is 4802 and it is closer to 5000 than 4000

Answer:

10. 123º

13. 65º

Step-by-step explanation:

For number 10, a straight line is equal to 180º so all we have to do is subtract 57 (the number that we're given) from 180

For number 13, vertical angles are always congruent (the same) so we know that it's 65º

SOLUTION

Step 1: List out the given parameters.

Step 2: Write the formula for the area of the triangle and solve.

Substitute the parameters in step 1 into the formula in step 2

Solving the above quadratic equation by quadratic formula method, we will get:

Since the value for a side of a triangle cannot be negative, x=5 is the only value of x we can use.

Therefore:

So we can conclude that:

The base is 16 meters and the height is 5 meters.

Answer:

Step-by-step explanation:

first one

Answer:

900

Step-by-step explanation:

12 * 3 * 5 * 5 = 900

900

since the price is decreasing, you will substract a precentage.

you could find the 40% of 499 like this

after having this substract it from the original price

the new price will be $299.4

Answer:

6,72

Step-by-step explanation:

Answer:

1. 6 hours

2. 72 minutes

Step-by-step explanation:

For the first one, you want to find the unit rate. to do this, you find 15%*8 which is 1.2. Then, since it's 5 days a week, you multiply that by 5. 1.2*5 is 6 and that's how you get 6 hours.

For number 2, you go back to 1.2 hours. then you multiply 1.2 by 60 because there are 60 minutes in an hour. that makes 72 so 72 minutes each day

I hope that this helped!

Answer:

k=3

Step-by-step explanation:

2(4k+3)−13=2(18−k)−13  

2(4k+3)−13=2(18−k)−13

(2)(4k)+(2)(3)+−13=(2)(18)+(2)(−k)+−13

8k+6+−13=36+−2k+−13

(8k)+(6+−13)=(−2k)+(36+−13)

8k+−7=−2k+23

8k−7=−2k+23  

8k−7+2k=−2k+23+2k

10k−7=23

 10k−7+7=23+7

10k=30

10k/10=30/10

k=3

Answer:

80$ for 4 / 16$

Step-by-step explanation:

If you see the price on one note book and its 20$, and you want 4 note book you have to mutiply the price by 4 and you'll get 80$!  

Hope this helped

Happy Halloween!

Answer:

ok im telling people to help u because i dont know that xd

Step-by-step explanation:

Answer:

x = 1/2,-3

Step-by-step explanation:

I think the answer is x = 1/2, -3.

Answer: 16

Step-by-step explanation:

The rank correlation is 1, this means that the two variables being compared are monotonically related, even if their relationship is not linear.

Given the data

X, ...rankX.....Y.....rankY......d=rx-ry........d²

4.........4...........-5......4................0..............0

53.......3.........-1........3................0...............0

86.......2.........13.......2................0................0

162......1..........16.......1.................0...............0

Then, using the rank correlation formula

p = 1 — 6•Σd² / n(n²—1)

p = 1 - 6• 0 / 4(4²-1)

p = 1 - 0

p = 1

So, the rank correlation is 1, this means that the two variables being compared are monotonically related, even if their relationship is not linear.

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Full Question: Use the table of values to calculate the linear correlation coefficient r.

X Y

4 -5

53 -1

86 13

162 16