|x-(-12)| if x>-12 Simplify(Write each expression without using the absolute value symbol)

Answer:

2+1 is 3

Step-by-step explanation:

just add one more

The interquartile range is 55.

The interquartile range is the difference between the upper quartile and the lower quartile. In example 1, the IQR = Q3 – Q1 = 87 - 52 = 35. The IQR is a very useful measurement. It is useful because it is less influenced by extreme values as it limits the range to the middle 50% of the values.

Interquartile range = higher quartile - lower quartile

Given data,    50,25,80,10

To arrange the given data in ascending order 10,25,50,80.

Now, we will find the median for the given data.

The median is obtained by first arranging the data in ascending order and applying the following rule.

If the number of observations is even, then the median is \(\frac{n}{2}th\) term.

In given data the number of observations is '4'(even)

If the number of observations is even, then the median is \(\frac{4}{2} th\) means 2nd term. So median for the given data is 25. It means the value of lower quartile is 25 .

Interquartile range = higher quartile - lower quartile

                                 = 80-25

                                = 55  

Thus, interquartile range  for the given data is 55.

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The above question is not complete.

Answer:

x = 2

Step-by-step explanation:

\(\frac{1}{2} (x+12)=4x-1\)

Solve the brackets.

\(\frac{x}{2} +6=4x-1\)

Take 4x to the left side and take 6 to the right side.

\(\frac{x}{2}-4x=-1-6\)

Combine like terms.

\(\frac{x}{2} -\frac{4x}{1} =-7\\\\\frac{x}{2} -\frac{8x}{2} =-7\\\\\frac{-7x}{2} =\frac{-7}{1}\)

Use cross multiplication.

-7x = -7 × 2

-7x = -14

Divide both sides by -7.

x = 2

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

To find the p-value from the t statistic on TI-84, you will need to perform a hypothesis test. Here are the steps:1. Enter your data into the calculator and choose the appropriate test.2. Calculate the t statistic by dividing the sample mean by the standard error.3. Determine the degrees of freedom. This is n-1 for a one-sample t-test or n1+n2-2 for a two-sample t-test. 4. Use the t-distribution table to find the critical value for your test.5. Calculate the p-value using the t-distribution function on the calculator.6. Compare the p-value to the significance level (usually 0.05) to determine whether to reject or fail to reject the null hypothesis.7.

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

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.el resultado de multiplicar 10 por 30 será igual que al multiplicar 3 por 10 aunque cambiemos el orden de los factores el resultado seguirá siendo 30

les puedes cambiar los números

The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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The maximum value of the objective function will be:50(100) + 50(20) = 5000 + 1000 = 6000

The given linear programming is:Max 50A + 50Bs.t.10A ≤ 100010B ≤ 80020A + 40B ≤ 4000A, B ≥ 0 To solve the linear programming using the solver follow these steps:Step 1: Open the Excel spreadsheet and go to Data, choose the solver and enable it.

Step 2: A Solver Parameters dialog box will appear. Input the necessary details as follows:Set Objective: 50A + 50BTo: Max Subject to constraints:

10A ≤ 100010B ≤ 80020A + 40B ≤ 4000

Select variables to change: A, BStep 3: Click Solve and the optimal value of A and B will be found.In this case, the optimal value of A is 100 and that of B is 20.

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The data being skewed and indicating higher wait times above 7 minutes due to a busy park is the most suitable description based on the given line plot.

The best description of the shape of the data is that it is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.

Here's the explanation:

From the line plot, we can observe that there are 6 dots above 6, 5 dots above 7, 3 dots above 5, and 2 dots above 8.

The distribution is not symmetric, as the data points are not evenly spread around a central value.

The fact that there are more dots above 7 and 8 suggests that the wait times were higher than these values for a significant number of rides. This skewness in the data indicates that there were instances of longer wait times.

Additionally, the presence of dots above 5 and 6 suggests that there were some rides with shorter wait times as well.

However, the higher concentration of dots above 7 and 8 indicates that the park was likely busy, leading to longer wait times.

The option stating that the data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy best aligns with the information provided by the line plot.

It acknowledges the skewness of the data towards higher wait times, suggesting that the park experienced increased demand and longer queues during the fair.

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Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

Answer:

800 in3

Step-by-step explanation:

20in * 10in * 10in = 2000 in3

6in * 2in * 5in = 60 in3

The volume of one box of cupcake is 60 in3

60 in3* 20 = 1200 in3

2000in3 - 1200 in3 = 800 in3

Answer:

21 ÷ -10x

Step-by-step explanation:

Answer:

It would be A

Step-by-step explanation:

The other answers do not make sense.

First of all: Area= length x width.

Two of the options were larger than 49.7, so we could cross those out

Then, we look at A and B.  

46.2 x 3.5 = 161.7, which is WAY larger than 49.7.

Since we have no option left to test, we can test A:

14.2 x 3.5= 49.7

Now we cam be sure that the answer is 14.2, or, A.

HOPE THIS HELPED:)

Answer:

About $137.79

Step-by-step explanation:

Hope this helps!

This expression represents the function f(x) stretched by a factor of 3, shifted to the left by 2 spaces, and shifted down by 4 spaces.

1. Stretch by a factor of 3:
To stretch the function vertically by a factor of 3, we'll multiply the output of the function by 3. In function notation, this will be written as:
g(x) = 3 × f(x)
2. Shift the center to the left by 2 spaces:
To shift the function to the left by 2 spaces, we'll add 2 to the input of the function. This will be written as:
h(x) = g(x+2) = 3 × f(x+2)
3. Shift the center down by 4 spaces:
To shift the function downward by 4 spaces, we'll subtract 4 from the output of the function. This will be written as:
i(x) = h(x) - 4 = (3 × f(x+2)) - 4
Now, combining all the transformations, we get the final expression for the modified function as:
i(x) = (3 × f(x+2)) - 4

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Answer:

The median is three, the mean is 3.5, the range is 6 and there is no mode.

Step-by-step explanation:

Answer:

to solve for a¹,replacen=1

(a) The magnitude E is 1.04×10⁶ N/C.

(b) The direction of the electric field is radially inward since the net charge inside the shell is negative.

(c) The E direction is Q1 = 3.40×10⁻¹² C.

(d) The direction of the electric field is radially outward since the net charge inside the shell is positive.

(e) The interior surface of the shell is Q1 = 3.40×10⁻¹² C.

(f) The exterior surface of the shell is Q2 = 6.80×10⁻¹² C.

(a) The magnitude of the electric field at radial distance r from the axis of a thin-walled coaxial conducting cylindrical shell carrying a net charge Q is given by E = Q / (2πε₀r), where ε₀ is the permittivity of free space. For r = 2.00R₂, the net charge Q is Q₁ + Q₂ = (3.40×10⁻¹² C) - 2(3.40×10⁻¹² C) = -3.40×10⁻¹² C, and thus the electric field is E = |-3.40×10⁻¹² C / (2πε₀(2.00R₂))| = 1.04×10⁶ N/C.

(b) The direction of the electric field is radially inward since the net charge inside the shell is negative.

(c) For r = 5.00R₁, the net charge inside the shell is only Q1 = 3.40×10⁻¹²C, so the electric field is E = |3.40×10⁻¹² C / (2πε₀(5.00R₁))| = 1.23×10⁶ N/C.

(d) The direction of the electric field is gradually outward since the net charge inside the shell is positive.

(e) The charge on the interior facial of the shell is equal in magnitude and opposite in sign to the net charge inside the shell, which is Q1 = 3.40×10⁻¹² C.

(f) The charge on the exterior facial of the shell is equal in magnitude and opposite in sign to the net charge outside the shell, which is -Q2 = 2(3.40×10⁻¹² C) = 6.80×10⁻¹² C.

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Answer:

find the value of 'c' sach that the point (1.5) 2,-3) and(C,7) are colliner?

The statement that best describes the sampling distribution of sample means is normal with a mean of 625 and a standard deviation of 4.45. So, correct option is A.

The sampling distribution of sample means is the distribution of all possible sample means that could be obtained from a population of a given size. The Central Limit Theorem (CLT) states that if the sample size is sufficiently large (usually n > 30), the sampling distribution of sample means will be approximately normal, regardless of the distribution of the population.

In this case, the population is the distribution of SAT math scores of students taking Calculus I with a mean of 625 and a standard deviation of 44.5. If random samples of 100 students are repeatedly taken, the sampling distribution of sample means will also be normal due to the CLT.

The mean of the sampling distribution of sample means will be the same as the population mean of 625, while the standard deviation of the sampling distribution of sample means will be the population standard deviation divided by the square root of the sample size, which is 44.5/√100 = 4.45.

Therefore, correct option is A.

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To find the p-value for the test examining the positive linear relationship between speed and jump height, you need to calculate the Pearson correlation coefficient, determine the degrees of freedom, and then find the corresponding p-value.

To determine the p-value for this test, we would need to conduct a hypothesis test using a linear regression model. The null hypothesis would be that there is no linear relationship between speed and jump height, while the alternative hypothesis would be that there is a positive linear relationship between the two variables.

After running the regression model and performing the hypothesis test, we would look for the p-value associated with the slope coefficient for speed. If this p-value is less than the chosen significance level (usually 0.05), we can conclude that there is convincing evidence of a positive linear relationship between speed and jump height for students like these.

Without actually running the regression model and hypothesis test, it is not possible to provide an exact p-value for this scenario.

To determine if there is convincing evidence of a positive linear relationship between speed (mph) and jump height (in) for students like these, you need to conduct a correlation test, specifically a Pearson correlation test. The p-value will help you determine the significance of the relationship.

Step-by-step explanation:

1. Gather the data: Obtain the values for speed (mph) and jump height (in) for each student.

2. Calculate the Pearson correlation coefficient (r): This value will help you measure the strength and direction of the linear relationship between the two variables. You can use statistical software or a calculator for this.

3. Determine the degrees of freedom (df): Calculate this by subtracting 2 from the total number of data points (n). Formula: df = n - 2.

4. Calculate the p-value: Using the Pearson correlation coefficient (r) and the degrees of freedom (df), you can find the p-value in a t-distribution table or by using statistical software.

5. Interpret the p-value: If the p-value is less than your chosen significance level (commonly 0.05), there is convincing evidence of a positive linear relationship between speed and jump height. If the p-value is greater than 0.05, there is not enough evidence to suggest a significant positive linear relationship.

In summary, to find the p-value for the test examining the positive linear relationship between speed and jump height, you need to calculate the Pearson correlation coefficient, determine the degrees of freedom, and then find the corresponding p-value. Comparing this p-value to your chosen significance level will help you conclude if there is convincing evidence of a positive linear relationship between the two variables.

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Answer: $1.23

Step-by-step explanation: to find the cost of one pound we need to divide 6 pounds by how much it costs so, 6 ÷ 4.86= 1.23.

Answer:

Help me with my Physics lol

You have 4 replications for each treatment combination.

In this scenario, you have two factors: frequency (low and high) and liquid (distilled water and salt water). Each factor has two levels, making a total of four treatment combinations (low frequency with distilled water, low frequency with salt water, high frequency with distilled water, high frequency with salt water).

Since you have a total of 16 runs, the number of replications for each treatment combination can be determined by dividing the total number of runs by the number of treatment combinations. In this case, 16 runs divided by 4 treatment combinations gives you 4 replications per treatment combination.

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Answer:

80

Step-by-step explanation:

5x2x8=80

Answer:

volume= 8*2*5

=80cube

The volume of the recycling bin when the length is doubled is 3,600 cubic feet.

To find the volume of the recycling bin when the length is doubled, we first need to determine the original volume of the bin.

The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.

In this case, the length is 15 ft, the width is 12 ft, and the height is 10 ft. So the original volume of the recycling bin is:

V = lwh = 15 ft × 12 ft × 10 ft = 1,800 cubic feet

To find the volume when the length is doubled, we simply need to multiply the original length by 2, and then calculate the new volume using the same formula:

New length = 15 ft × 2 = 30 ft

New volume = lwh = 30 ft × 12 ft × 10 ft = 3,600 cubic feet

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Answer: x=14°

Step-by-step explanation:

All angles of a triangle added together is 180°. So we can add the angles together.

7x-11+5x-2+2x-3=180           [combine like terms]

14x-16=180                             [add both sides by 16]

14x=196                                  [divide both sides by 14]

x=14

Therefore, x=14°.

Answer:

45

Step-by-step explanation:

9y+1073741824

....…....…....…....…....…....…....…...

…

....…....…....…

Answer:

the answer is A, x=2

Step-by-step explanation:

Answer:

A:$4.50 x ? =$36. $36 divided by$4.50=?

B)8 divide it

C)replace the ? With x and then solve it algebraically and it would still equal to the number 8

Step-by-step explanation: