De Moivre's Theorem: Answers in standard form Use De Moivre's Theorem 0 to find (-1+√3)³. Put your answer in standard form. 0/6 ? X 010 S

The correlation coefficients of 0.5 and -0.67 are not near zero, as they indicate a moderate to strong relationship between the variables being studied.

A correlation coefficient near zero means that there is little to no relationship between the two variables being studied.

Based on this definition, the correlation coefficients that can be classified as near zero are 0.13, 0.002, and -0.22. The values of 0.13 and -0.22 are close to zero and therefore indicate a weak correlation between the variables.

The value of 0.002 is very close to zero and suggests almost no correlation between the variables.

The correlation coefficients of 0.5 and -0.67 are not near zero, as they indicate a moderate to strong relationship between the variables being studied.

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Answer:

nth term = 4 + n^2

Step-by-step explanation:

Sorry if the answer is long but I'm hoping my explanation can help.

In order to understand the issue, we should try to find the pattern between the terms given.

The terms given were 5, 8, 13, 20 and 29.

Between the first term and second term, the difference is 3.

Between the second and third term, the difference is 5.

The pattern goes on and we find out that the difference between the (n-1)th term and the nth term is

2n - 1.

Hence, we can determine the pattern of the numbers is

nth term = (n-1) term + 2n - 1

We can use this to find term 0 (before term 1) by plugging in the values for term 1

5 = 0th term + 2 (1) - 1

5 = 0th term + 1

Hence the 0th term = 4

If we expand on the summation,

We can find the nth term

nth term = 4 + 2 (1) - 1 + 2(2) - 1 + ... + 2(n-1) - 1 + 2n - 1

As we can see, the number 1 has been subtracted n times (excluding the -1 in 2(n-1)). Hence, we can split combine all of the subtracted ones into -n.

We can rewrite it as

nth term = 4 + 2 (1) + 2(2) + ... + 2(n-1) + 2n - n

Now, we will move 4 and n to one side.

nth term = 4 - n + 2 (1) + 2(2) + ... + 2(n-1) + 2n

We can factorize 2 out from every term to the right of -n. This would give out

nth term = 4 - n + 2 (1 + 2 + ... + (n-1) + n)

The term (1 + 2 + ... + (n-1) + n) can actually be rewritten by using the triangular formula.

The triangular formula is stated such that

Tn = (n*(n+1))/2

This heavily simplifies the equation into

nth term = 4 - n + 2 [(n*(n+1))/2]

This equation becomes

nth term = 4 - n + n^2 + n.

Now, we can finally simplify into the final equation

nth term = 4 + n^2

To set up a definite integral that yields the area of the region for the function g(y) = y^3, we first need to determine the interval of integration. Since you did not provide the specific bounds for the region, I will use general variables a and b as the lower and upper limits, respectively.

The given function is: g(y) = y³. We are to set up a definite integral that yields the area of the region. The region is a 2D figure whose area is bounded by the given curve g(y) = y³ and the x-axis. We know that the area of the region can be found using the following formula: ∫a b f(x)dx, where a and b are the bounds of integration. To find the bounds of integration, we need to find the intersection of the curve g(y) = y³ and the x-axis. For y³ = 0, we have y = 0. Thus, the lower bound of integration is 0. To find the upper bound of integration, we need to solve the equation y³ = 1 for y. We have:y³ = 1⇒ y = 1The upper bound of integration is 1. Thus, the definite integral that yields the area of the region is: ∫₀¹ g(y) dy = ∫₀¹ y³ dy. Note: We are not asked to evaluate the integral.
The definite integral representing the area of the region can be written as:
∫[a, b] y^3 dy

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The measures of the interior and exterior angles ∠1, ∠2, ∠3, ∠4, ∠5, ∠7, ∠8, and ∠9 are 90°, 90°, 90°, 122°, 58°, 58°, 148°, 32°, and 148°, respectively.

We are given a triangle. One of the angles is 122 degrees, as shown in the diagram. We need to find all the interior and exterior angles. The vertically opposite angles are equal. The angle ∠4 is vertically opposite to the given angle. So, ∠4 = 122°. The angle ∠5 and the given angle form a linear pair. So, the angle ∠5 = 180° - 122° = 58°. The angle ∠6 is vertically opposite to the angle ∠5. So, the angle ∠6 = 58°. The angles ∠1, ∠2, and ∠3 are angles made by coordinate axes that are perpendicular to each other. So, the angles ∠1 = ∠2 = ∠3 = 90°. Now we use the angle sum property of a triangle. The sum of all the interior angles of a triangle is 180°. So, we can write the equation : ∠6 + ∠1 + ∠8 = 180°. So, ∠8 = 180° - (∠6 + ∠1) = 180° - (58° + 90°) = 180° - 148° = 32°. The angles ∠8 and ∠9 form a linear pair. So, ∠9 = 180 - 32° = 148°. The angle ∠7 is vertically opposite to the angle ∠9. So, the angle ∠7 = 148°.

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The area of the triangle is 94.9 square inches

For given question,

We have been given triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches.

Let x be the third side of ΔRST

⇒ 22 + 13 + x = 50

⇒ x = 50 - 35

⇒ x = 15

Let s = sum of three sides of the triangle / 2

s = (22 + 13 + 15)/2

s = 25

Now using the formula for the area of the triangle,

A = √[s × (s-a) × (s-b) × (s-c)]

Let a = 22 inches, b = 13 inches, c = 15 inches

Substituting the values,

⇒ A = √[25 × (25 - 22) × (25 - 13) × (25 - 15)]

⇒ A = √(25 × 3 × 12 × 10)

⇒ A = √9000

⇒ A = 94.9 square inches

Therefore, the area of the triangle is 94.9 square inches

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The area of  triangle rst which have sides 22 inches and 13 inches with perimeter 50 inches is 95 square inches.

We are given that the two sides of the triangle rst are 22 inches and 13 inches respectively. Also perimeter of the triangle rst is 50 inches.

We have to find the area of  triangle to the nearest square inches.

Let the third side of the triangle rst be x.

Hence,

22 + 13 + x = 50 inch

35 + x = 50 inch

x = 50 - 35
x = 15 inches

Hence, the third side of the triangle is 15 inches.

We will use the Heron's formula here to find the area of the triangle.

Heron's formula = \(\sqrt{s(s-a)(s-b)(s-c)}\)
Here,

s = Semi- perimeter

a, b, and c are sides of the triangle.

Hence,

\(s=\frac{50}{2} \\\\s=25 inches\)

a = 22 inches

b = 13 inches

c = 15 inches

Hence,

Area of the triangle rst = \(\sqrt{25(25-22)(25-13)(25-15)}\\\\ \sqrt{25(3)(12)(10)} =\sqrt{5*5*3*3*2*2*5*2}=5*3*2\sqrt{5*2}=30\sqrt{10}\)

We know that,

\(\sqrt{10}\) ≈ 3.162277
Hence,

\(\sqrt{10} * 30\) ≈ 94.86831 ≈ 95 square inches.

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The probability of given data is that it is actually going to rain in Seattle with value of  0.4706 approximately.

Firstly, denote the variables to the events: R: It is actually raining in Seattle. U: Your umbrella is with you. F1: Your first friend says it is raining. F2: Your second friend says it is raining. F3: Your third friend says it is raining.

We want to find the probability of R given that F1, F2, and F3 all say it is raining. Using Bayes' theorem, we have:

P(R | F1F2F3) = P(F1F2F3 | R) * P(R) / P(F1F2F3)

The denominator, P(F1F2F3), can be calculated using the law of total probability as follows:

P(F1F2F3) = P(F1F2F3 | R) * P(R) + P(F1F2F3 | R') * P(R')

where R' represents the event that it is not raining in Seattle. Since the probability of raining in Seattle is 0.1,

we have P(R) = 0.1 and P(R') = 0.9.

To calculate the probabilities of the events involving your friends' responses, we can use the following table:

Event Probability

F1         2/3 if R, 1/3 if R'

F2         2/3 if R, 1/3 if R'

F3         2/3 if R, 1/3 if R'

If it is raining, each friend will tell you the truth with probability 2/3, and if it is not raining, they will lie with probability 2/3. Therefore, we have:

P(F1F2F3 | R) = (2/3)^3 = 8/27

P(F1F2F3 | R') = (1/3)^3 = 1/27

Substituting these values into the equation, we get:

P(R | F1F2F3) = (8/27 * 0.1) / [(8/27 * 0.1) + (1/27 * 0.9)]

= 8/17

≈ 0.4706

Therefore, given that all three of your friends say it is raining, the probability that it is actually raining in Seattle is approximately 0.4706 or 47.06%. This means it is better to bring an umbrella to be safe.

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Answer:

0.20

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When rotation is 180° or 360°, the direction is immaterial. The result is the same no matter which direction you go.

Answer:

~35 cents

Step-by-step explanation:

8.72(0.04) = 0.3488 ≈ $0.35

Answer:

Use https://www.bartleby.com/  it has helped me out a lot . Its actual tutors/teachers who answer your questions in about 30 minutes :)

Step-by-step explanation:

The area of the square in the question is approximately 800 square feet.

Hence, the length of each side of the square is between 28 feet and 29 feet.

(side length)².

Hence,

(side length)² = 800 ft²

Square root both sides

√(side length)² = √800 ft²

side length = 28.284271247 ft

Therefore, based on the options given in the question,

The length of each side of the square is between 28 feet and 29 feet

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Answer:

364

Step-by-step explanation:

2✖️7=14

5✖️7=35

because 14 is two digits, you move the one and plus it to 35 which makes 36.

Leave the 4, and it becomes 364.

Answer:

\(\Huge \boxed{364}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

52 × 7

52 = 50 + 2

50 × 7 = 350

2 × 7 = 14

Adding 350 and 14,

350 + 14 = 364

\(\rule[225]{225}{2}\)

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

Answer:

this is a binomial because its separated by a negative sign

Step-by-step explanation:

Answer:

(9x-2)(9x+2) is the correct answer

Answer:

pretty sure its A

Step-by-step explanation:

Answer:

x=-11

Step-by-step explanation:

The total amount each friend pays is the sum of the cost of the ticket, snack, and drink. The ticket costs d dollars, the snack costs 1.5 * d dollars, and the drink costs d - 1.25 dollars. Therefore, the total amount each friend pays is represented by the expression:

d + (1.5 * d) + (d - 1.25)

Which simplifies to:

4.25d - 1.25

This expression represents the total amount each friend pays.

Answer:

3.5*d - 1.25.

Step-by-step explanation:

The total amount that each friend pays can be represented by the expression:

d + 1.5d + (d - 1.25) = d + 1.5d + d - 1.25 = 3.5*d - 1.25

So, the part of the expression that represents the total amount each friend pays is 3.5*d - 1.25.

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The value of A, calculated based on the given time_tuple, is **66961**.

To calculate the value of A, we need to convert the time_tuple elements into seconds. Each element represents hours, minutes, seconds, and milliseconds, respectively. The formula used is A = time_tuple[0] * 3600 + time_tuple[1] * 60 + time_tuple[2] + time_tuple[3] * 600.

Let's break down the calculation:

- time_tuple[0] represents hours, so 9 * 3600 = 32400 seconds.

- time_tuple[1] represents minutes, so 16 * 60 = 960 seconds.

- time_tuple[2] represents seconds, so 1 second.

- time_tuple[3] represents milliseconds, so 56 * 600 = 33600 seconds.

Adding all the values together, we get 32400 + 960 + 1 + 33600 = 66961 seconds.

Therefore, the correct answer is **66961**.

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Answer:

(-1, 3)

Step-by-step explanation:

replace the occurrences of y in the equation

(x + y = 2) with x + 4

x + x + 4 = 2

2x + 4 = 2

solving for x in the first equation

2x = 2 - 4

2x = -2

2x/2 = -2/2

x = -1

replacing all occurrences of x in y = x + 4 with -1

y = (-1) + 4

y = 3

therefore the pairs are (-1, 3)

Hope it helps!

We can calculate the expected value of the longest segment to be approximately 0.583 meters.

To find the expected length of the longest segment when a rope is divided into three segments by two random points, we need to consider all possible ways of dividing the rope and calculate the probability of each scenario occurring.

In the first case, we can assume Point A divides the rope into a segment of length "a" and a segment of length "b+c", where "b" and "c" are the lengths of the other two segments. In this case, the length of the longest segment is "b+c" with a probability of 1/2.

In the second case, Point A divides the rope into segments of length "a+b" and "c". Here, the length of the longest segment is either "a+b" or "c", depending on whether Point B falls on the "a" segment or the "b" segment. The probability of Point B falling on either segment is 1/2, so the probability of the longest segment being "a+b" is 1/4, and the probability of the longest segment being "c" is also 1/4.

Therefore, the expected length of the longest segment can be calculated as follows: Expected length of longest segment = (1/2) x (b+c) + (1/4) x (a+b) + (1/4) x c

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Answer:

about 24.38 feet

Step-by-step explanation:

Graphing window: [0, 30] by [-20, 160]

y1 = 20 + 2x + √(400 + 4x^2)

y2 = 1.6(20 + x + √(400 + x^2))

y1 = y2 when x = 24.3798.

So the length of the smaller garden's longer leg is about 24.38 feet.

The pair that is the mean and standard error of x is [65, 2.236]. So, the correct option is a.

Suppose a random sample of 80 measurements is selected from a population with a mean of 65 and a variance of 300. We are required to select the pair that is the mean and standard error of x. The standard error of the mean (SEM) is calculated as follows :

$$SEM = \frac{\sigma}{\sqrt{n}}$$

Where σ is the standard deviation, and n is the number of observations or sample size.

Given that variance,

σ2 = 300

Therefore,

σ = √300 = 17.32.

Substituting the values in the formula, we have

$$SEM = \frac{\sigma}{\sqrt{n}} = \frac{17.32}{\sqrt{80}} = 1.9365$$

Therefore, the mean and standard error of x is [65, 1.936]. Option A is not the answer because the value of the standard error in that option is incorrect. Option B is not the answer because the value of the standard error in that option is incorrect. Option C is not the answer because the value of the standard error in that option is incorrect.

Option D is not the answer because the first value in that option is not the mean of x. Option E is incorrect because the value of the standard error is incorrect.

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Answer:

OH DADDY FASTER

Step-by-step explanation:

OY PAPI MAS RAPIDO

answer: $650

To find how much Kendra paid per foot, we can divide the total cost of the fencing by the length of the fencing.

The length of the fencing is given as 50 feet.

The total cost of the fencing can be found by multiplying the cost per foot by the length of the fencing:

Total cost = Cost per foot x Length of fencing Total cost = $13/ft x 50 ft Total cost = $650

Therefore, Kendra paid a total of $650 for 50 feet of fencing. To find how much she paid per foot, we can divide the total cost by the length of the fencing:

Cost per foot = Total cost / Length of fencing Cost per foot = $650 / 50 ft Cost per foot = $13/ft

So Kendra paid $13 per foot of fencing.

On solving the provided question, we can say that from the graphs three of the four vertices of a quadrilateral the vertex will be (-5, -1), (-3,1), (-3. 2) and (5,5).

Mathematicians utilize graphs to visually express or chart data or values in a rational order. Usually, a graph point will show the link between two or more objects. A graph is a non-linear database structure composed of nodes, also known as vertices, and edges. The nodes, sometimes referred to as vertices, should be joined. In this graph, the vertex numbers are 1, 2, 3, and 5, while the edge numbers are 1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Graphical depictions of exponential development in statistics charts, such as bar charts, pie charts, and line graphs. Three of the four vertices of a quadrilateral on a logarithmic graph will be (-5, -1), (-3, 1), (-3. 2), and (-3. 3) respectively (5,5).

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Im confused could you explain what the questions are better.