The area of the rectangle is twice the area of the
square. Work out the perimeter of the rectangle.

Answer:

8

Step-by-step explanation:

The absolute value of any number is the value of the number when it's positive.

So...

I-8I = 8

and  I8I = 8

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer:

x = 121

Step-by-step explanation:

We are given;

g(x) = √x - 5

Now, we are told that g(x) = 6

Thus;

√x - 5 = 6

Add 5 to both sides to get;

√x = 11

Square both sides to get;

x = 121

Answer:

1)2/5

2)2/3

Hope this helps!

Answer:

1. m=2/5

2. m-2/3

Step-by-step explanation:

The statement "it is not the case that p and q are both true" is made in the negation of p ^ q.

As a result, when p q is true, that is, when one or both of p and q are true, (p q) is true precisely. The sentence is only untrue when both p and q are true. The opposite of the given mathematical statement is the negation of a statement in mathematics. If "P" is a statement, then "~P" is the statement's negation.

The words "~" or "¬" are used to denote a statement's denial.

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The probability that the mean score of the 49 seniors is greater than 20 is 0.0516. To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means from a population with any distribution will approach a normal distribution as the sample size increases.

First, we need to find the standard error of the mean (SEM), which is the standard deviation of the sampling distribution of the mean. We can use the formula SEM = σ / √n, where σ is the population standard deviation, and n is the sample size.

In this case, σ = 6.0 and n = 49, so SEM = 6.0 / √49 = 0.857.

Next, we need to standardize the sample mean using the z-score formula: z = (x - μ) / SEM, where x is the sample mean, μ is the population mean, and SEM is the standard error of the mean.

In this case, x = 20, μ = 18.6, and SEM = 0.857, so z = (20 - 18.6) / 0.857 = 1.63.

Finally, we need to find the probability that a standard normal distribution is greater than 1.63, which is 0.0516 when rounded to 4 decimal places.

Therefore, the probability that the mean score of the 49 seniors is greater than 20 is 0.0516.

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The campers ordered 16 chili dogs and 11 corn dogs.

To solve this problem, we can create a system of linear equations based on the given information.

Let x represent the number of chili dogs ordered and y represent the number of corn dogs ordered.

The first equation is: x + y = 27 (since the campers ordered a total of 27 hot dogs)

The second equation is: 4x + 1y = 75 (since the total cost of chili dogs and corn dogs is $75)

To solve this system, we can use the substitution method. From the first equation, we can rewrite it as x = 27 - y.

Substituting x = 27 - y into the second equation, we get:

4(27 - y) + 1y = 75

Simplifying this equation, we have:

108 - 4y + y = 75

-3y = -33

y = 11

Substituting y = 11 into the first equation, we can find x:

x + 11 = 27

x = 16

Therefore, the campers ordered 16 chili dogs and 11 corn dogs.

In summary, the campers ordered 16 chili dogs and 11 corn dogs. This solution is obtained by solving the system of linear equations: x + y = 27 and 4x + 1y = 75.

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the volume of the solid obtained by rotating the rectangle with width a and height x about the x-axis is (2π/3) a^3

Assuming you meant "a rectangle with width x", we can find the volume of the solid obtained by rotating this rectangle about the x-axis using the method of cylindrical shells.

Consider a thin vertical strip of width dx at a distance x from the y-axis. The length of this strip is the height of the rectangle, which is x. When this strip is rotated about the x-axis, it sweeps out a cylindrical shell of radius x and thickness dx. The volume of this cylindrical shell is given by 2πx(x dx) = 2πx^2 dx.

To find the total volume of the solid, we integrate the volume of each cylindrical shell from x = 0 to x = a, where a is the width of the rectangle. Therefore, the volume of the solid is given by:

V = ∫ 2πx^2 dx (from x = 0 to x = a)

V = [2π/3 x^3] (from x = 0 to x = a)

V = (2π/3) a^3

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The magnitude of 3 4j is 5. This is because the magnitude of any complex number in the form a + bi is the square root of (a² + b²). In this case, a is 3 and b is 4, and the square root of (3² + 4²) is 5.

The magnitude of a complex number is the length of a line from the origin to the point on the complex plane that represents the number. The magnitude of 3 4j can be calculated using the Pythagorean theorem.

Using the theorem, the magnitude of 3 4j is 5. This is because 3 and 4 are the lengths of the sides of a right triangle and 5 is the length of the hypotenuse. The equation to calculate the magnitude of 3 4j is the square root of 3 squared plus 4 squared. This is written as the square root of       (3² + 4²) = 5.

The magnitude of 3 4j is 5. This is because the magnitude of any complex number in the form a + bi is the square root of (a^2 + b^2). In this case, a is 3 and b is 4, and the square root of (3^2 + 4^2) is 5. This means that the magnitude of 3 4j is 5.

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Answer:The answer is...... I want you to get it but I will help you solve!!

Step-by-step explanation:

What you want to do first is find out how many points decreased.

28-12=?

Then you will take the number decreased and divide it by the original last season goals 28. The smaller number will get divided by 28.

You will get a .(decimal)??? take that number you get and move the .(decimal) over 2 places to the right(that is because it's a %) and you will have your answer.

Answer:

The value of 'x' = 3

Step-by-step explanation:

Explanation:-

Given that

              4x - 2(x - 5) = - 7 + 5x + 8

              4x - 2(x) +10 = - 7 + 5x + 8

                   2 x + 10 = 1 + 5 x

Subtracting '2x' on both sides , we get

             2 x - 2 x + 10 = 1 + 5 x - 2 x

                  10 = 1 + 3 x

                 10 -1 = 3x

                   9 = 3 x

Dividing '3' on both sides, we get

                 \(\frac{9}{3} = \frac{3x}{3}\)

               3 = x

∴ The value of 'x' = 3

The solution to the equation 3e^(2x) + 5 = 27 is x = 1.36.

To solve the equation 3e^(2x) + 5 = 27 using natural logarithms, we can follow these steps:

Step 1: Subtract 5 from both sides of the equation:
3e^(2x) = 22

Step 2: Divide both sides of the equation by 3:
e^(2x) = 22/3

Step 3: Take the natural logarithm (ln) of both sides of the equation:
ln(e^(2x)) = ln(22/3)

Step 4: Apply the property of logarithms that states ln(e^a) = a:
2x = ln(22/3)

Step 5: Divide both sides of the equation by 2:
x = ln(22/3)/2

Using a calculator, we can evaluate ln(22/3) to be approximately 2.72.

Therefore, x = 2.72/2 = 1.36.

So, the solution to the equation 3e^(2x) + 5 = 27 is x = 1.36.

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Answer:

1: -6m,

2: 10.3-12m,

3: 28a-7,

4: 5/8h+7

Step-by-step explanation:

so, a helpful thing with these, is to add like terms. with #4, we see that the letter m is with both of the numbers, and since we are adding a bigger negative to a positive, the answer will be a negative with the number. for 6, 2 numbers have an x, and 2 do not. so we add or subtract the like pairs, as in the ones with the letters, and then a separate one for the one with no letters. for the last one, you always want to have a "common denominator" which is the number on the bottom. because 8 is already on the bottom, and 4 is divisible by 8 by 2, we inversely multiply the top and bottom numbers for the "3/4" and would get "6/8" to match the bottom denominator for "1/8" hope this helps

For a random variable X with an exponential distribution, it can be proven that (a) the expected value of X is equal to λ^-1, (b) the moment generating function of X is equal to λ/(λ-t), and (c) for t > 0, the probability that X is less than or equal to x+t given that X is greater than x is equal to the probability that X is less than or equal to t.

(a) To prove that E(X) = λ^-1, we need to calculate the expected value of X. The expected value is given by the integral of x times the probability density function f(x) over its range. Integrating λxe^(-λx) with respect to x from 0 to infinity yields λ/(λ^2) = λ^-1.

(b) The moment generating function (MGF) of X, denoted as M_X(t), is defined as the expected value of e^(tx). By substituting the exponential probability density function into the definition of the MGF and integrating, we obtain M_X(t) = λ/(λ-t).

(c) To prove that P(X ≤ x+t | X > x) = P(X ≤ t), we can use the memoryless property of the exponential distribution. The memoryless property states that the conditional probability of exceeding a given value does not depend on previous events. Therefore, P(X > x+t | X > x) = P(X > t). By rearranging the terms, we get P(X ≤ x+t | X > x) = 1 - P(X > x+t | X > x) = 1 - P(X > t). Simplifying further, we find that P(X ≤ x+t | X > x) = P(X ≤ t).

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Answer: D

Step-by-step explanation:

The vertex is (3,2) and is a minimum since coefficient of x is positive.

answer (3,∞)

Answer:

it cost 5.99

Step-by-step explanation:

it all depends on the type of burrito

Answer:

C

Step-by-step explanation:

we can use the quadratic formula, which states that the roots of the equation ax^2 + bx + c = 0 are given by:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = -10, b = 12, and c = -9. Substituting these values into the formula, we get:

x = (-12 ± sqrt(12^2 - 4(-10)(-9))) / 2(-10)

x = (-12 ± sqrt(144 - 360)) / (-20)

x = (-12 ± sqrt(-216)) / (-20)

The expression under the square root is negative, so we can simplify it as follows:

sqrt(-216) = sqrt(216) * sqrt(-1) = 6sqrt(6)i

Substituting this back into the equation for x, we get:

x = (-12 ± 6sqrt(6)i) / (-20)

x = (3/5) ± (3sqrt(6)i)/10

Therefore, the roots of the equation are:

x = 3/5 + (3

Answer: B(0,-6); C(-2,0)

Step-by-step explanation:

A was translated 4 units to the right (x) and 5 units down (y)

Do the same for the other points

B(-4+4, -1-5)                        C(-6+4, 5-5)

B(0, -6)                                C(-2, 0)

Answer:

m∠6 = 115; m∠5 = 115; m∠1 =  130; m∠4 = 65

Step-by-step explanation:

44.  m∠6 = 180 - 65 = 115

45. m∠5 = 180 - 65 =115

46. m∠1 = 180 - 50 = 130

47. m∠4 = 180 - (50+65) = 180 - 115 = 65

Answer:

the person below is correct

Step-by-step explanation:

hope it helped have an amazing night :)❤

The odds ratio between race and political affiliation is 1.23 with a 95% confidence interval of (0.884, 1.795). The difference in proportions is -0.126 with a 95% confidence interval of (-0.206, -0.046). The relative risk is 1.45 with a 95% confidence interval of (1.454, 3.082).

In the study conducted in the United States on the association between race and political affiliation, the following 95% confidence intervals were calculated:

Odds Ratio:

Odds ratio = (103/11) / (341/405) = 1.23

Standard error (SE) of ln(OR) = √(1/103 + 1/11 + 1/341 + 1/405) = 0.316

z-value for a 95% confidence level (α/2 = 0.025) is 1.96

Lower limit of the confidence interval: ln(OR) - (1.96 * SE(ln(OR))) = ln(1.23) - (1.96 * 0.316) = -0.123

Upper limit of the confidence interval: ln(OR) + (1.96 * SE(ln(OR))) = ln(1.23) + (1.96 * 0.316) = 0.587

Therefore, the 95% confidence interval for the odds ratio is (e^-0.123, e^0.587) = (0.884, 1.795)

Difference in Proportions:

Difference in proportions = (103/454) - (341/746) = -0.126

Standard error (SE) of (p1 - p2) = √[(103/454) * (351/454) / 454 + (341/746) * (405/746) / 746] = 0.041

z-value for a 95% confidence level (α/2 = 0.025) is 1.96

Lower limit of the confidence interval: -0.126 - (1.96 * 0.041) = -0.206

Upper limit of the confidence interval: -0.126 + (1.96 * 0.041) = -0.046

Therefore, the 95% confidence interval for the difference in proportions is (-0.206, -0.046)

Relative Risk:

Relative risk = (103/454) / (341/746) = 1.45

Standard error (SE) of ln(RR) = √[(1/103) - (1/454) + (1/341) - (1/746)] = 0.266

z-value for a 95% confidence level (α/2 = 0.025) is 1.96

Lower limit of the confidence interval: ln(1.45) - (1.96 * 0.266) = 0.374

Upper limit of the confidence interval: ln(1.45) + (1.96 * 0.266) = 1.124

Therefore, the 95% confidence interval for the relative risk is (e^0.374, e^1.124) = (1.454, 3.082)

Thus, the 95% confidence interval for the odds ratio is (0.884, 1.795), the 95% confidence interval for the difference in proportions is (-0.206, -0.046), and the 95% confidence interval for the relative risk is (1.454, 3.082).

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D is the answer yw!!

If the results of an experiment contradict the hypothesis, you have falsified the hypothesis.

A hypothesis is a proposed explanation for a scientific phenomenon. It is based on observations, prior knowledge, and logical reasoning. When conducting an experiment, scientists test their hypothesis by collecting data and analyzing the results.

If the results of the experiment do not support or contradict the hypothesis, meaning they go against what was predicted, then the hypothesis is considered to be falsified. This means that the hypothesis is not a valid explanation for the observed phenomenon.

Falsifying a hypothesis is an important part of the scientific process. It allows scientists to refine their understanding of the phenomenon under investigation and develop new hypotheses based on the evidence. It also helps prevent bias and ensures that scientific theories are based on reliable and valid data.

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Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.

The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.

Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.

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Answer:

0.6.

Step-by-step explanation:

Either event A or  Event B or neither must happen so the probability of any of these is 1, so

Prob(B) = 1 - 0.2 - 0.2 = 0.6.

Answer: answer above me is correct

Gradual, long-term movement in time-series values is called temporal variation. Therefore, the correct option is (a) temporal variation.

Temporal variation is one of the components of a time series, along with seasonal variation, cyclical movement, and irregular or random variation. Temporal variation refers to the long-term trend or pattern of movement in the time series, which can be increasing, decreasing, or remaining constant over time. It is often caused by underlying factors such as population growth, economic changes, or technological advancements.

Cyclical movement refers to the regular, repeating up and down patterns in the time series, which are usually longer than a year and can be caused by factors such as business cycles or political cycles. Exponential smoothing and linear regression are statistical methods used to forecast or model time series data, but they do not describe the components of the time series themselves.

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Answer:

Die verhouding 4:6 kan vereenvoudig word tot 2:3 door beide syfers de deel deur 2 te deel.

f(1) = 5, which is the first term of the given sequence.

The given sequence starts with 5 and then decreases by 6 at each successive term.

So, we can write the nth term of the sequence as:

a(n) = 5 - 6(n-1) for n > 1

To find f(1), we can simply substitute n=1 in the above formula:

a(1) = 5 - 6(1-1) = 5 - 0 = 5

Therefore, f(1) = 5, which is the first term of the given sequence.

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Answer:

64x^2/3x^5/4

Step-by-step explanation:

(4x^2/3)^3 / (81x^5)^1/4​

4^3*x^2/3*3 / 3^4*1/4*x^5/4

64*x^2 / 3*x^5/4