According to researchers one of the primary reasons relationship sour is that people stop listening to one other assumed that the relative frequency distribution for the length of time couples in conflict listen to each other has a mean of eight seconds and standard deviation of five seconds in sample of 37 couples in conflict let X represent the main of length of time the couples listen to each other what is the sample distribution of X

Answer:

55 (approx.)

Step-by-step explanation:

30% of 186 students joined the band

(30/100) × 186

5580/100

55.8

= 55 students (approx.)

(the answer will come approximate as final is in decimal)

Answer:

6 x ^2

Step-by-step explanation:

Answer:

\( \boxed{c = -17} \)

Step-by-step explanation:

\( = > 3 - 7c - 20c = 7( - 7c - 19) + 14c \\ \\ = > 3 - 27c = ( - 7c \times 7) - (7 \times 19) + 14c \\ \\ = > 3 - 27c = - 49c - 133 + 14c \\ \\ = > 3 - 27c = - 35c - 133 \\ \\ = > 3 - 27c + 35c = - 133 \\ \\ = > 3 + 8c = - 133 \\ \\ = > 8c = - 133 - 3 \\ \\ = > 8c = - 136 \\ \\ = > c = - \frac{136}{8} \\ \\ = > c = - 17\)

Answer:

c = -17

Step-by-step explanation:

→Distribute the 7 to (-7c - 19):

3 - 7c - 20c = -49c - 133 + 14c

→Add like terms (-7c and -20c, -49c and 14c):

3 - 27c = -35c - 133

→Add 35c to both sides:

3 + 8c = -133

→Subtract 3 from both sides:

8c = -136

→Divide both sides by 8:

c = -17

The expected value of this scenario is 4.19.

The Expected value (EV), which is based on a random variable's probability distribution, describes the long-term average level of that variable. The expected value of a stock or other investment is a crucial factor in investing and is taken into account while performing scenario analysis.

To calculate the expected value, we need to multiply each outcome xi by its respective probability P(xi), and then add up all of these products. So, we have:

Expected value = 1(0.24) + 2(0.22) + 3(0.31) + 4(0.01) + 5(0.16) + 6(0.29)

Expected value = 0.24 + 0.44 + 0.93 + 0.04 + 0.80 + 1.74

Expected value = 4.19

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Answer:

6%

Step-by-step explanation:

The average rate is approximately 2%

The formula for calculating the average rate of return under continuous compounding is expressed as \(A=Pe^{rt\)

Given the following parameters

\(P = \$50,000\)

A = $175,222.57

t = 20 years

Substitute the given parameters into the formula to get the rat\(175,222.57 = 5000e^{20r}\\e^{20r}=\frac{175,222.57.}{5000}\\e^{20r}= 35.155514\\lne^{2r}=ln 35.155514\\2r = 3.5597\\r = 3.5597/2\\r =1.779 \%\)

Hence the average rate is approximately 2%

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Answer:

Anna spent $51 in all.

Step-by-step explanation:

36+15=51

Answer:

$51

Step-by-step explanation:

Anna bought two items: a backpack and a lunch box. If we want to find the total amount of money Anna spent, we have to add the price of the backpack and the price of the lunchbox.

price of backpack+price of lunchbox

The backpack cost $36 and the lunchbox cost $15

$36+$15

Add 36 and 14

$51

Anna spent $51 in total

Divide all numbers by prime factors

14 21 40 | 2

7 21 20 | 2

7 21 10 | 2

7 21 5 | 5

7 21 1 | 7

1 3 | 3

1 |

Now, multiply all this numbers to find the least common multiple

The least common multiple is 840

Answer: (22)+(320)=56

Explanation: Using the numbers 2,0,2 and 3, we can make the number 56 by performing the mathematical operation (22)+(320) which equals to 8+60 which is equal to 56. The multiplication symbol * is used to get 8 and 60, and the addition symbol + is used to add 8 and 60 to get 56.

The ultimate purpose of constructing a standard curve is to use it to calculate the concentration of a substance in solution.

What is a standard curve?

A standard curve is a graphical representation of a mathematical function that relates the concentration of a solution to the amount of light that passes through it. The majority of standard curves have a linear relationship between the dependent and independent variables. These curves are particularly useful for chemical tests that require the use of an instrument, such as a spectrophotometer.

A standard curve is created by generating a series of known concentrations of a specific compound in a solution. The absorption values are measured, and the data are then plotted on a graph. The resulting data points can then be utilized to create a standard curve, which can be used to identify the concentration of unknown samples.

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======================================================

Explanation:

Pick two points from the table such as (1,7) and (2,14)

Apply the slope formula.

\((x_1,y_1) = (1,7) \text{ and } (x_2,y_2) = (2,14)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{14 - 7}{2 - 1}\\\\m = \frac{7}{1}\\\\m = 7\\\\\)

This means y = mx+b updates to y = 7x+b

Plug a point like (1,7) into that equation to solve for b.

y = 7x+b

7 = 7*1+b

7 = 7+b

7-7 = b

0 = b

b = 0

We go from  y = 7x+b to  y = 7x+0

That simplifies to the final answer of   y = 7x

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

Check:

Plug x = 2 to get

y = 7x

y = 7*2

y = 14

This shows (2,14) is on the line, and it matches with the table.

I'll let you check the other x values.

Another way to verify is to use a graphing app like GeoGebra or Desmos.

Answer: y+7x

Step-by-step explanation: y equals to 7x because 7x1 is 1 and vice versa.

The area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

The normal distribution function, also known as the Gaussian distribution or bell curve, is a probability distribution that is symmetric, bell-shaped, and continuous. It is defined by two parameters: the mean (μ) and the standard deviation (σ).

The normal distribution is widely used in statistics and probability theory due to its many desirable properties and its applicability to various natural phenomena. It serves as a fundamental distribution for many statistical methods, hypothesis testing, confidence intervals, and modeling real-world phenomena.

To find the area under the standard normal curve to the left of z = 2.06, you can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Using a standard normal distribution table, the area to the left of z = 2.06 can be found by looking up the corresponding value in the table. However, since the standard normal distribution table typically provides values for z-scores up to 3.49, we can approximate the area using the available values.

The closest value in the standard normal distribution table to 2.06 is 2.05. The corresponding area to the left of z = 2.05 is 0.9798. This means that approximately 97.98% of the area under the standard normal curve lies to the left of z = 2.05.

Since z = 2.06 is slightly larger than 2.05, the area to the left of z = 2.06 will be slightly larger than 0.9798.

Therefore, rounding the answer to four decimal places, the area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

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If we take a simple random sample of size n=500 from a population of size 5,000,000, the variability of our estimate will be  (c) about the same as the variability for a sample  size n=500 from a population of size 50,000,000.

The variability of an estimate primarily depends on the sample size (n) rather than the population size. Since both scenarios have a sample size of 500, the variability will be approximately the same.

The correct answer is (d) slightly greater than the variability for a sample size n = 500 from a population of size 50,000,000. This is because the larger the population size, the smaller the sampling variability. In other words, if we take a sample of the same size from a larger population, there will be more variability due to the increased number of potential outcomes. However, the difference in variability between a population size of 5,000,000 and 50,000,000 is not significant enough to make a substantial impact on the estimate.

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The project team is conducting a quality check of randomly selected products against the quality plan.

What is probability ?

Probability is a branch of mathematics that deals with the likelihood of events occurring. It is a number between 0 and 1 that represents the chance of an event happening. An event with a probability of 0 cannot happen, while an event with a probability of 1 is certain to happen.

The project team is undertaking quality control activities. Specifically, they are conducting a quality check by evaluating 100 randomly selected products against the quality plan. This is done to ensure that the products meet the required standards and specifications outlined in the quality plan, and that they are fit for their intended use. Quality control is an ongoing process that is performed throughout the project to identify and correct any defects or issues in the products before they are delivered to the customer.

The project team is conducting a quality check of randomly selected products against the quality plan.

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Answer:

$70 >= $61.50 + $5x

Step-by-step explanation:

With the values provided the only variable would be the number of gigabytes. Since Hunter does not want to spend more than $70 then the value of the amount of money he is paying for gigabytes plus the flat cost needs to be less than or equal to $70. Therefore, the following inequality would represent this scenario best...

$70 >= $61.50 + $5x

The statement that It is sufficient to test an analogy by asking what are its relevant similarities is false.

Analogy refers to the process of comparison of two or more items such that it explains some idea, or classification or familiarity and representativeness. Studying the analogies helps in enhancing, strengthening and reinforcing the skills in areas such as reading comprehension, homophones, deductive reasoning and logic.

Testing an analogy only by relevant similarities will produce partial results which might not be suitable to fully explain the reason. Hence, both relevant similarities and differences are to be considered for more detailed review. Different kind of analogies used to explain the differences or similarities are synonym and antonym, symbol and reference, degree of differences.

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(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The Fourier transform pair for a function f(x) is defined as follows:

F(k) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

f(x) = (1/2π) ∫[-∞,∞] F(k) \(e^{2\pi iyx}\) dk

Now let's prove the given properties:

(i) If f is an even function, then f(y) = 2∫[0,∞] f(x) cos(2πxy) dx.

To prove this, we start with the Fourier transform pair and substitute y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is even, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[-∞,0] f(x) \(e^{2\pi iyx}\) dx

Since f(x) is even, f(x) = f(-x), and by substituting -x for x in the second integral, we get:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[0,∞] f(-x) \(e^{2\pi iyx}\)dx

Using the property that cos(x) = (\(e^{ ix}\) + \(e^{- ix}\))/2, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dx

Now, using the definition of the inverse Fourier transform, we can write f(y) as follows:

f(y) = (1/2π) ∫[-∞,∞] F(y) \(e^{2\pi iyx}\) dy

Substituting F(y) with the expression derived above:

f(y) = (1/2π) ∫[-∞,∞] ∫[0,∞] f(x) \(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\)/2 dx dy

Interchanging the order of integration and evaluating the integral with respect to y, we get:

f(y) = (1/2π) ∫[0,∞] f(x) ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy dx

Since ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy = 2πδ(x), where δ(x) is the Dirac delta function, we have:

f(y) = (1/2) ∫[0,∞] f(x) 2πδ(x) dx

f(y) = 2 ∫[0,∞] f(x) δ(x) dx

f(y) = 2f(0) (since the Dirac delta function evaluates to 1 at x=0)

Therefore, f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx, which proves property (i).

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The proof for this property follows a similar approach as the one for even functions.

Starting with the Fourier transform pair and substituting y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is odd, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx - ∫[-∞,0] f(x) \(e^{-2\pi iyx}\) dx

Using the property that sin(x) = (\(e^{ ix}\) - \(e^{-ix}\))/2i, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) - \(e^{2\pi iyx}\)/2i dx

Now, following the same steps as in the proof for even functions, we can show that

f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx

This completes the proof of property (ii).

In summary:

(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

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Answer:

below

Step-by-step explanation:

Part A)

The radius of a circle is half of its diameter.

Therefore, the radius of the circle is:

radius = diameter/2 = 8cm/2 = 4cm

So, the radius of the circle is 4cm.

You can also find radius by just dividing the diameter in half, or by 2.

Part B)

The area of a circle can be found using the formula:

Area = πr^2

where π is the mathematical constant pi (approximated as 3.14), and r is the radius of the circle.

Substituting the values given in the question, we get:

Area = πr^2

= 3.14 × (4cm)^2

= 3.14 × 16cm^2

Therefore, the area of the circle is:Area = 50.24cm^2 (rounded to two decimal places)

So, the area of the circle with a diameter of 8cm is 50.24cm^2.

Answer:

A

Step-by-step explanation:

a = 6

(a)^-2

(6)^-2

1/6²

Option A

Step-by-step explanation:

Solution

Given:- a=6

Now,

\( {a}^{ - 2} \\ 6 ^{ - 2} \\ \frac{1}{6 ^{2} } \\ \frac{1}{36} \)

Answer:

x = 5

Step-by-step explanation:

From the picture attached,

It's given that ∠AOB ≅ ∠COD

therefore, m∠AOB = m∠COD

Now from the given measures of the equal angles,

9x - 5 = 6x + 10

9x - 6x - 5 = 10

3x - 5 = 10

3x = 10 + 5

3x = 15

x = \(\frac{15}{3}\)

x = 5

Therefore, measure of the angles given in the picture will be,

m∠AOB = (9x - 5)° = 40°

m∠BOC = (2x + 11)° = 21°

m∠COD = (6x + 10)° = 40°

Answer:guy who answered first is wrong the answer is x = 9

Step-by-step explanation:

Answer:

p is called transversal

line M and N are called parallel lines

angle 7 and 5 are called vertically opposite angles

angle 2 and 5 are called corresponding angles

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:

6000 / 3 = 2000

Answer:

2000

Step-by-step explanation:

my answer has to be 20 characters long.

The probability that Rob completes the race successfully is:

1 - 0.1 - 0.09 + 0.02 = 0.83

The probability of getting an odd number or a number divisible by 4 can be found by adding the probabilities of getting an odd number and a number divisible by 4, and subtracting the probability of getting a number that is both odd and divisible by 4 (which is 4). The probabilities of getting an odd number, a number divisible by 4, and a number that is both odd and divisible by 4 are:

Odd number: There are 6 odd numbers out of 12 total numbers, so the probability of getting an odd number is 6/12 = 1/2.

Number divisible by 4: There are 3 numbers divisible by 4 (4, 8, 12), so the probability of getting a number divisible by 4 is 3/12 = 1/4.

Number that is both odd and divisible by 4: The only number that is both odd and divisible by 4 is 4, so the probability of getting this number is 1/12.

Therefore, the probability of getting an odd number or a number divisible by 4 is:

1/2 + 1/4 - 1/12 = 5/12

The probability of getting a red face or a white face can be found by adding the probabilities of getting a red face and a white face. The probability of getting a red face is 2/6 = 1/3, and the probability of getting a white face is also 1/3. Therefore, the probability of getting a red face or a white face is:

1/3 + 1/3 = 2/3

To find the probability that Rob completes the race successfully, we need to subtract the probability of getting a flat tire, the probability of the chain breaking, and the probability of both occurring from 1 (the probability of completing the race successfully). The probability of getting a flat tire is 0.1, the probability of the chain breaking is 0.09, and the probability of both occurring is 0.02. Therefore, the probability that Rob completes the race successfully is:

1 - 0.1 - 0.09 + 0.02 = 0.83

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Answer:

48 - 14x + x² = (x - 6) (x - 8)

3y⁴ - 18y³ - 21y² =  3y² (y+1) (y-7)​

Step-by-step explanation:

48 - 14x + x² = (x - 6) (x - 8)

3y⁴ - 18y³ - 21y² = 3y² (y²-6y -7) = 3y² (y+1) (y-7)​

Answer:

4/8=1/2 but it can't be written as a whole number

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

cannot be written as a whole number because it can be simplified down.

Step-by-step explanation:

its decimal form is 0.5 and if you simplify it down to its least you get 4/8=2

Answer:24

Step-by-step explanation: you multiply 4x5 because there are 5 popular sizes and she buys 4 of each and you add the 4 extra to get 24

Answer:

true for A P E X

Step-by-step explanation:

(a) Point Estimate: A point estimate is a single value that is used to estimate an unknown population parameter based on sample data. It provides an estimate or approximation of the true value of the parameter of interest. For example, the sample mean is often used as a point estimate for the population mean.

(b) Confidence Interval: A confidence interval is a range of values that is constructed using sample data and is likely to contain the true value of the population parameter with a certain level of confidence. It provides an estimate of the precision or uncertainty associated with the point estimate. The confidence interval is typically expressed as an interval estimate with an associated confidence level. For example, a 95% confidence interval for the population mean represents a range of values within which we are 95% confident that the true population mean lies.

(c) Level of Confidence: The level of confidence is the probability or percentage associated with a confidence interval that indicates the likelihood of the interval containing the true population parameter. It represents the degree of confidence we have in the estimation. Commonly used levels of confidence are 90%, 95%, and 99%. For example, a 95% confidence level implies that if we were to construct multiple confidence intervals using the same method, approximately 95% of those intervals would contain the true population parameter.

(d) Margin of Error: The margin of error is a measure of the uncertainty or variability associated with a point estimate or a confidence interval. It indicates the maximum amount by which the point estimate may deviate from the true population parameter. The margin of error is typically expressed as a range or interval around the point estimate. It depends on factors such as the sample size, variability of the data, and the chosen level of confidence. A smaller margin of error indicates a more precise estimate.

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A sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion.

To calculate the required sample size, we can use the formula:

n = (\(z^2\) * p * q) /\(e^2\)

where n is the sample size, z is the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence), p is the estimated population proportion (0.165, based on the NWBC's finding), q is 1-p, and e is the maximum error we want to tolerate (in this case, 0.06 or 6 percentage points).

Substituting the values, we get:

n = (2.576^2 * 0.165 * 0.835) / \(0.06^2\)

Solving for n, we get:

n ≈ 329

Therefore, a sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion. Note that this assumes a simple random sample and that the population size is much larger than the sample size, so the finite population correction is not needed.

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