a bank measures the wait time for a random sample of 15 customers during the lunch hour (measured in minutes). a hypothesis test is conducted to see if there is evidence that the average wait time is 5 minutes. what is the p-value for the test?

The given task is to sort a list of 3-D points based on a given sorting order string using Python's lambda function and sorted function. The sorting order is specified as a string of any combination of 'x', 'y', and 'z', where 'x' represents the primary sorting key, 'y' represents the secondary sorting key, and 'z' represents the last priority.

In Python, we can use a lambda function to define a custom key for sorting using the `sorted()` function. We can create a tuple of the `x`, `y`, and `z` coordinates of each point and pass it as the key to the `sorted()` function. We can use the `index()` method to get the index of the corresponding letter in the sorting order string.Here's an example of the two-line solution to sort the given list of points based on the sorting order string:

```python

sorted_points = sorted(points, key=lambda p: (p[order.index('x')], p[order.index('y')], p[order.index('z')]))

print(sorted_points)

```This will print the sorted list of 3-D points based on the given sorting order string.

In summary, we can use Python's lambda function and sorted function to sort a list of 3-D points based on a given sorting order string. The lambda function creates a tuple of the `x`, `y`, and `z` coordinates for each point based on the sorting order string, and the sorted function sorts the list based on this tuple. The `index()` method is used to get the index of the corresponding letter in the sorting order string.

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Answer:

1 kg I thik it is right ans

Answer:

6297g

You add the weight of the trailer after the paint cans were removed with the weight of the lumber

Answer:

A.

Step-by-step explanation:

The number of ways to plan her schedule of menus for the 20 school days is 10^20.

To calculate combinations, we will use the formula nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time. To calculate a combination, you will need to calculate a factorial.

For each day, there are ten different choices for what she will cook that day. 20 decisions are made, one for each day with ten different possibilities for each choice.

The complete question is: A school cook plans her calendar for the month of February in which there are 20 school days. She plans exactly one meal per school day. Unfortunately, she only knows how to cook ten different meals.

How many ways are there for her to plan her schedule of menus for the 20 school days if there are no restrictions on the number of times she cooks a particular type of meal?

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3(y+11) y=12

3(12+11)=?

12+11=23

3x23=69

Answer = 69

I hope this helps :)

Answer:

The vertices of ABCD:

A ( - 3, 1 )

B ( 4 , - 3 )

C ( 1, 3 )

D ( - 1 , 4 )

∴ ( 4 x,  4 y ):

A ` ( - 12, 4 )

B ` ( 16, - 12 )

C ` ( 4, 12 )

D ` ( - 4 , 16 )

Step-by-step explanation: I hope this helps! ™(*/ω＼*)

The slope of the line for the partial set of values of linear function h(x) is 2. The slope of a linear function can be found by looking at the change in the y-values over the change in the corresponding x-values.

The slope can then be found using the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Using the table of values of the linear function h(x), we can select any two points and calculate the slope. For example, if we choose the points (1,3) and (4,9), the change in y is 9-3=6 and the change in x is 4-1=3. Therefore, the slope of the line is:

slope = change in y / change in x
slope = 6/3
slope = 2

So the slope of the line for the partial set of values of linear function h(x) is 2.
The slope can then be found using the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

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The system as a matrix equation as ⃗ ′ = =\(\left[\begin{array}{cc}-4&2\\-5&2\end{array}\right]\)[y₁, y₂]ᵀ

Consider the system of differential equations:

y₁=−4y₁+2y₂,

y₂=−5y₁+2y₂.

We can write this system in matrix form as:

⃗ ′=⃗,

where ⃗ = [y₁, y₂]ᵀ is a column vector, ⃗ ′ is its derivative with respect to time, and is a 2x2 matrix given by:

\(A=\left[\begin{array}{cc}-4&2\\-5&2\end{array}\right]\)

where the semicolon separates the rows of the matrix.

To see how this matrix equation corresponds to the original system of differential equations, we need to compute the derivative of ⃗. Using the chain rule of differentiation, we have:

⃗ ′ = [y₁′, y₂′]ᵀ

= [−4y₁+2y₂, −5y₁+2y₂]ᵀ

=\(\left[\begin{array}{cc}-4&2\\-5&2\end{array}\right]\)[y₁, y₂]ᵀ

= ⃗.

This means that the matrix equation ⃗ ′=⃗ is equivalent to the system of differential equations y₁′=−4y₁+2y₂ and y₂′=−5y₁+2y₂.

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Complete Question:

Consider the system of differential equations

y₁=−4y₁+2y₂,

y₂=−5y₁+2y₂.

Rewrite this system as a matrix equation ⃗ ′=⃗

Answer:

The answer is B, 59.

Explanation

1) Subsitute 15 for C.

2) Multiply 15 by 9/5. That leaves you with 27.

3) Finally, add 32 to 27. You get 59.

:) Hope this helps

Answer:

c. 12 pens and 15 pencils

Step-by-step explanation:

We can find the number of each box Denis bought using a system of equations.

Let x represent the number of pen boxes and y the number of pencil boxes Denis bought

First equation:

We know that the sum of the quantities of the pen and pencil boxes equals the total number of boxes altogether as

# of pen boxes + # of pencil boxes = total number of boxes

x + y = 27

Second equation:

We know that the sum of the costs of the pen and pencil boxes equals the total cost as

(price of pen boxes * # of pen boxes) + (price of pencil boxes * # of pencil boxes) = total cost

15x + 18y = 450

Method to solve:  Substitution:

We can isolate x in the first equation and plug it in for x in the second equation.  This will allow us to first find y:

(x + y = 27) - y

x = -y + 27

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

15(-y + 27) + 18y = 450

-15y +405 + 18y = 450

3y + 405 = 450

3y = 45

y = 15

Find x:

Now we can find x by plugging in 15 for y in x + y = 27:

x + 15 = 27

x = 12

Thus, Denis bought 15 pens and 12 pencils (answer choice c.)

Check work:

We can check our work by plugging in 15 for y and 12 for x in both equations and seeing if we get 27 for the first equation and 450 for the second equation:

Checking solutions in x + y = 27:

12 + 15 = 27

27 = 27

Checking solutions in 15(12) + 18(15) = 450

15(12) + 18(15) = 450

180 + 270 + 450

450 = 450

Thus, our answers are correct.

The situation that probably does not have a lurking variable operating in some way is, option D: Neighborhoods with more station wagons tend to have more playgrounds. So, the correct option is, option D.

This is because it is unlikely that there is a hidden variable that is causing both the presence of station wagons and the presence of playgrounds. It is possible that neighborhoods with more families and children tend to have both more station wagons and more playgrounds, but this is not a hidden variable as it is already known and understood.

In contrast, the other options all involve relationships between variables that could be explained by a hidden variable.

For example, in option A, it is possible that the lurking variable is the weather, which affects both the sales of cold medication and the sales of ice cream.

Similarly, in option E, the lurking variable could be the overall economic health of the town, which affects both the number of teachers and the sales of floor wax and cat litter.

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Answer:

(10,0)

Step-by-step explanation:

3x+6y=30

3x+6(0)=30

3x=30

x=10

Answer:

hmmm? well I guess I can solve for x in relation to y and vice versa

but to actually solve for x and y you will need another equation of x and y

3x=30+6y

x=10+2y=2y+10

-6y=30-3x

-2y=10-x

2y=-10+x=x-10

y=(1/2)x-5

well, y=(1/2)x-5 is a line with slope 1/2 and y-intercept (0,b) of

Answer:

68%.

Step-by-step explanation:

Dalvin's finishing time is normally distributed with a mean of 65 seconds and a standard deviation of 1 second.

Under the empirical rule, 68% of the results will be within 1 standard deviation.

Since the standard deviation is 1 second, 68% of Dalvin's finishing time will be between 64 and 66 seconds.

The number of phones sold is 15 and the number of accessories sold is 24, and the graph is attached below.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

Samir earns an $8 commission for every phone he sells and a $4 commission for every accessory he sells,

Total money earned = $216,

Total number of phones  and accessories sold = 39

Write the equation of the above statement as shown below,

8x + 4y = 216,

x + y = 39

Assume the number of phones sold is x and the number of accessories sold is y,

Solve the equation by elimination as shown below

x = 15,

y = 39 - 15 = 24

The graph is also attached below,

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Answer:

226.2 miles

Step-by-step explanation:

8.7 x 26 = 226.2

The missing step in solving the inequality is x > -9

From the question, we are to determine the missing step in solving the given inequality

1. The distributive property: 4x – 12 + 4 < 10 + 6x

2. Combine like terms: 4x – 8 < 10 + 6x

3. The addition property of inequality: 4x < 18 + 6x

4. The subtraction property of inequality: –2x < 18

5. The division property of inequality: ________

Applying the division property of inequality

-2x/-2 < 18/-2

x > -9

Hence, the missing step in solving the inequality is x > -9

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Answer:

147°

Step-by-step explanation:

180 - 33 = 147

Answer:

147

Step-by-step explanation:

x is on a straight line so the whole line equals 180

180-33= 147

I think that's correct

Answer:

C. 3.2g

Step-by-step explanation:

Mark Me Brainliest?

Answer:

3200mg is C; 3.2g

The length CT of the line segment is 38 units

From the question, we have the following parameters

CJ = 9x + 1

JT = 2x + 15

Also, we understand that:

Point J is the midpoint of segment CT.

This means that

CJ = CT

So, we have

9x + 1 = 2x + 15

Evaluate the like terms

7x = 14

So, we have

x = 2

Length CT is calculated as

CT = 9x + 1 + 2x + 15

So, we have

CT = 9 x 2 + 1 + 2 x 2 + 15

Evaluate

CT = 38

Hence, the length is 38 units

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The critical χ2 value you are looking for is 16.151, which corresponds to option C.

To find the critical X2-value to test the claim σ2 < 5.6 with n=28 and α=0.10, we need to use the Chi-square distribution table. The degrees of freedom for this test is n-1 = 28-1 = 27.

The critical X2-value for a one-tailed test with α=0.10 and 27 degrees of freedom is 16.151 (option C).

To perform the test, we calculate the test statistic as:

X2 = (n-1) * s^2 / σ^2

where s is the sample standard deviation and σ is the population standard deviation.

If X2 < critical value, we reject the null hypothesis and accept the claim. Otherwise, we fail to reject the null hypothesis.

In this case, we have:

X2 = (28-1) * s^2 / 5.6

We don't have the sample standard deviation s or the population standard deviation σ, so we can't calculate X2 directly.

However, we can use the critical X2-value and the given significance level to find a confidence interval for the population standard deviation σ.

The confidence interval is given by:

s^2 / X2 < σ^2 < s^2 / χ^2(α/2, n-1)

where χ^2(α/2, n-1) is the Chi-square distribution value for a two-tailed test with significance level α/2 and degrees of freedom n-1.

Using the values given in the problem, we get:

s^2 / 16.151 < σ^2 < s^2 / χ^2(0.05, 27)

We don't know the value of s^2, but we can use the sample size and the given confidence level to find a confidence interval for s^2.

The confidence interval for s^2 is given by:

(n-1) * s^2 / χ^2(α/2, n-1) < σ^2 < (n-1) * s^2 / χ^2(1-α/2, n-1)

where χ^2(1-α/2, n-1) is the Chi-square distribution value for a two-tailed test with significance level 1-α/2 and degrees of freedom n-1.

Using the values given in the problem, we get:

27 * s^2 / χ^2(0.005, 27) < σ^2 < 27 * s^2 / χ^2(0.995, 27)

We can use a statistical software or a Chi-square distribution table to find the values of χ^2(0.005, 27) and χ^2(0.995, 27).

Assuming that s^2 is a reasonable estimate of σ^2, we can use the confidence interval for s^2 to estimate the confidence interval for σ^2.

For example, if we find that:

27 * s^2 / χ^2(0.005, 27) = 3.45

27 * s^2 / χ^2(0.995, 27) = 10.66

Then we can say with 90% confidence that:

3.45 < σ^2 < 10.66

This interval does not contain the value 5.6, so we can reject the claim that σ2 < 5.6 at the 0.10 significance level.

Thus,the  critical χ2 value you are looking for is 16.151, which corresponds to option C.

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The Kalman filter is a common algorithm used to filter out statistical noise on a GPS.

Statistical noise in the demand of a process is defined as the amount of demand that is purely a result of randomness and could not have been forecasted with the best forecasting method.

Kalman filter is an optimal estimator that makes predictions about the state of a linear dynamic system from a series of measurements that contain statistical noise.

The Kalman filter works by first making a prediction about the current state of the system based on the previous state and the control input. Then, it updates this prediction with the new measurement to obtain an updated estimate of the state. This process is repeated for each new measurement, resulting in a more accurate estimate of the system's state.

In the case of GPS noise, the Kalman filter can be used to reduce the effect of measurement noise on the estimated position of the vehicle. The filter uses the previous position estimate and the control input (e.g., acceleration, steering angle) to predict the current position. This prediction is then updated with the new GPS measurement to obtain an updated position estimate. By repeating this process for each new measurement, the Kalman filter can reduce the effect of GPS noise on the estimated position.

In conclusion, the Kalman filter is a commonly used algorithm for filtering out GPS noise. It works by making predictions about the state of a system based on previous measurements and control inputs and then updating these predictions with new measurements. This results in a more accurate estimate of the system's state, which can be used to reduce the effect of GPS noise on the estimated position of a vehicle.

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Based on the given data and a one-sample chi-square test, the hypothesis test results reject the null hypothesis (σ < 10) in favor of the alternative hypothesis (σ > 10) at a significance level of 0.05. This indicates sufficient to suggest that the population standard deviation is greater than 10.

We test if the population standard deviation (σ) is less than 10 (H₀: σ < 10) or greater than 10 (Ha: σ > 10) using a significance level of 0.05.

To test this hypothesis, we can perform a one-sample chi-square test of variance, also known as the chi-square goodness-of-fit test. The test statistic is calculated as:

χ² = (n-1) * s² / σ₀²

where n is the sample size, s² is the sample variance, and σ₀ is the hypothesized population standard deviation under the null hypothesis.

Let's calculate the necessary values:

Sample size (n) = 40

Sample variance (s²) = Sum of (xi - X⁻)² / (n-1) = 129.7396

Hypothesized population standard deviation (σ₀) = 10

Now, we can calculate the test statistic:

χ² = (n-1) * s² / σ₀² = (40-1) * 129.7396 / 10² = 515.792

To test the hypothesis, we need to compare the test statistic to the critical value from the chi-square distribution with (n-1) degrees of freedom (39 degrees of freedom in this case) at the chosen significance level (α = 0.05).

The critical value for a right-tailed test with α = 0.05 and 39 degrees of freedom is approximately 56.891.

Since the test statistic (515.792) is greater than the critical value (56.891), we reject the null hypothesis (H₀). This means that there is proof to suggest that the population standard deviation is greater than 10.

Therefore, based on the given data and the performed hypothesis test, we reject the null hypothesis and conclude that there is sufficient to support the alternative hypothesis that the population standard deviation is greater than 10.

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Answer:

A

Step-by-step explanation:

Group like-terms, that is move the numbers to one side of the sign.

Then, divide both sides by 2

Answer:

b

Step-by-step explanation:

i did it in my head

Answer:

B' = (0,-2)

C' = (3,-3)

D' = (4,1)

Answer:

i think it's communative.. ?? sorry if im wrong

Step-by-step explanation:

Answer:

2+6−6=3−6

Step-by-step explanation:

2+6=3

2x+6=32x+6=3

Answer:

Value of the longest of the four side lengths is 28 cm

Step-by-step explanation:

Let the lengths of the 4 sides be (2x), (2x+2), (2x+4) and (2x+6)

Perimeter = Sum of all sides

=> 100 = 2x + 2x + 2 + 2x + 4 + 2x + 6

=> 100 = 8x + 12

=> 8x = 88

=> x = 11

∴ Value of the longest of the four side lengths = 2x + 6

= 2(11) + 6

= 22 + 6

= 28 cm

Hope it helps :)

Please mark my answer as the brainliest

Answer:

28

Step-by-step explanation:

22+24+26+28=100

Hope this helps!

The graph of a proportional relationship is a line through the origin or a ray whose endpoint is the origin

3. No because it's a line that doesn't go through the origin

4. Yes because it's a line through the origin

5. Yes because 1/3 = 2/6 = 3/9 = 4/12

6. No because 4/2 isn't equal to 8/5

7. Draw a graph just like 4., but change the y-axis

8. a. Let the equation be y = ax. 27 = 3a. a = 9. Therefore the equation is y = 9x.

8. b. 9

8. c. 9 * 5 = 45

9. a. The car travels 25 (> 18) miles per gallon of gasoline.

9. b. 25 * 8 - 18 * 8 = 7 * 8 = 56

Karmen borrowed $4860.00 at an interest rate of 7% compounded quarterly. She made quarterly payments of $287.00 each. To determine how long Karmen will have to make these payments, we need to calculate the number of quarters required to fully repay the loan. The answer will be stated in years and months.  

To calculate the time required for Karmen to make quarterly payments, we can use the formula for the future value of an annuity:

PV = PMT * [(1 - (1 + r)^{-n}) / r],

where PV is the present value of the loan, PMT is the payment amount, r is the interest rate per period, and n is the number of periods.

In this case, PV = $4860.00, PMT = $287.00, and r = 7%/4 (since interest is compounded quarterly). We need to solve for n.

Plugging in the values into the formula, we have:

$4860.00 = $287.00 * [(1 - (1 + 7%/4)^{-n}) / (7%/4)].

To find the value of n, we can use algebraic methods or a financial calculator. Solving for n, we find that Karmen will have to make payments for approximately 17 years and 5 months.

Therefore, Karmen will have to make payments for 17 years and 5 months to fully repay the loan.

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