Draw an example of a time series that has

a. Trend, cycles, and random fluctuations, but not seasonal components.
b. Seasonal components and random fluctuations, but not trend or cycles.

The prove is as follows

Statement             Reason

line BC || line DA  Definition of parallelogram

Draw line AC        Unique line postulate

AC = CA                Reflexive property (common sides)

∠BAC = ∠DCA      Alternate interior angles

∠BCA = ∠DAC      Alternate interior angles

Δ ABC ≅ Δ CDA   ASA triangle postulate

AB ≅ CD               CPCTC theorem

BC ≅ DA               CPCTC theorem

The ASA (Angle-Side-Angle) postulate is a statement about the relationship between the angles and sides of triangles. It states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. In other words, if two triangles have the same shape and size, then they are congruent.

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." This theorem states that if two triangles are congruent, then all their corresponding parts are congruent. In other words, if two triangles have the same shape and size, then all their angles and sides are congruent.

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Answer:

19325

Step-by-step explanation:

not one hundred percent sure about the thousands place, but everything else is correct.

1) 5 digit number - 19325 is a 5 digit number

2) 19325 - 3 is in the hundreds place

3) Largest place value is 10000

4) 3 - 1 = 2  -  tens place equals 2

5) LARGEST one-digit odd number in the thousands place - 19325

6) 0<x<2 - 19325 is less than 2, greater than 0

7) 3 + 2 = 5  -  ones place equals 5

Please mark brainliest!

Answer:

DEMANDE  A  TON PERE LE CHAUVE PETIT ZGUEGUE

Step-by-step explanation:

If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.

This type of problem can be referred to as a normal distribution problem.

It can be solved by using the z-score.

Formula;

Z = x - μ / σ

Here,

Z represents the standard score

x represents the observed value

μ represents the mean

σ represents the standard deviation

The z- score can be found by using the p-value on a standard table.

As the minimum score to be in the top 2% is needed to be found, p-value = 0.02

z- score that corresponds to the p-value of 0.02 in the standard table is equal to 2.054

Hence,

2.054 = x - 76.4 / 6.1

2.054(6.1) = x - 76.4

12.529 = x - 76.4

x = 12.529 + 76.4

x = 88.929

Hence the minimum score needed to be in the top 2% is calculated to be 88.929

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The equation in rectangular coordinates is:

x = 4y/8 + √(64 - y2)/8

or

x = y/2 + √(64 - y2)/8

The equation r = 8 sin(θ) is in polar coordinates. We can convert it to rectangular coordinates using the relationships:

x = r cos(θ)

y = r sin(θ)

Substituting r = 8 sin(θ), we get:

x = 8 sin(θ) cos(θ)

y = 8 sin2(θ)

Simplifying using the identity sin(2θ) = 2 sin(θ) cos(θ), we get:

x = 4 sin(2θ)

y = 32 sin2(θ)

So the equation in rectangular coordinates is:

x = 4y/8 + √(64 - y2)/8

or

x = y/2 + √(64 - y2)/8

where 0 ≤ θ ≤ π and -8 ≤ y ≤ 8.

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Answer:

x = 1 + 2 c 3

Step-by-step explanation:

ANSWER

EXPLANATION

After we rewrite this as a multiplication we have to do the multiplication. The result is a fraction whose numerator is the product of the numerators of the fractions and the denominator is the product of the denominators,

Then, the GCF between the numerator and denominator is 2, so we have to divide both by 2,

Hence, the answer is 5/7

Answer:

-7

Step-by-step explanation:

2-3(3)=-7

Answer:

(7 ÷ x) - 1

Step-by-step explanation:

i tried, i tried

The linearization of the function f(x) = ln(1+x) at x = 0 is L(x) = x.

To approximate ln(1.02), we can use the linearization at x = 0. Since 0.02 is a small value, we can approximate ln(1.02) by evaluating the linearization at x = 0.02.

L(0.02) = 0.02.

Therefore, the approximation for ln(1.02) using the linearization is 0.02.

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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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Answer:

57

Step-by-step explanation:

An angle formed by a tangent and secant is equal to half the difference of its intercepted arcs. ( major arc minus minor arc to be more specific. )

∠B is the angle formed by a tangent and secant

Arc CA is its intercepted arc ( minor arc to be more specific )

Arc DA is also its intercepted arc ( major arc to be more specific )

Hence, ∠B = \(\frac{1}{2}\) ( Arc DA - Arc CA )

If arc CA = 51 and Arc DA = 165

Then ∠B =

\(\frac{1}{2} (165-51)\\165 - 51=114\\\frac{1}{2} (114)=57\)

Hence, ∠B = 57

Answer:

A

Step-by-step explanation:

pretty sure 99 percent sure

Answer:

It is the last one because they share similar sides based on how the triangle was created

To find the value of f(6), we can use the information given about the function f(x) and its derivative f'(x).The value of f(6) is 44/3.

Given that f'(x) is continuous, we can apply the Fundamental Theorem of Calculus. According to the theorem:

∫[a to b] f '(x) dx = f(b) - f(a)

In this case, we are given that:

∫[1 to 6] 6 f '(x) dx = 16

We can simplify the integral:

6 ∫[1 to 6] f '(x) dx = 16

Since f'(x) is the derivative of f(x), the integral of 6 f '(x) dx is equal to 6 f(x). Therefore, we have:

6 f(6) - 6 f(1) = 16

Substituting the given value f(1) = 12:

6 f(6) - 6(12) = 16

6 f(6) - 72 = 16

Next, we isolate the term with f(6):

6 f(6) = 16 + 72

6 f(6) = 88

Finally, we solve for f(6) by dividing both sides by 6:

f(6) = 88 / 6

f(6) = 44/3

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Let's start by using the formula for the total labor cost:

Total labor cost = Fixed cost + (Number of employees x Cost per employee)

We know that the fixed cost is $32,782.00, and the cost per employee is $31,009.00. Let's represent the number of employees with the variable "x". So we have:

$3,133,682.00 = $32,782.00 + (x * $31,009.00)

Simplifying the equation:

$3,133,682.00 - $32,782.00 = x * $31,009.00

$3,100,900.00 = x * $31,009.00

x = $3,100,900.00 / $31,009.00

x ≈ 100

Therefore, the company intends to employ approximately 100 people next year.

Answer: converse of the isosceles triangle theorem

Step-by-step explanation:

Answer:

converse of the isosceles triangle theorem 

Step-by-step explanation:

Took the test

Answer:

17 años

Step-by-step explanation:

Deje que la edad de Jane sea x

Deja la edad de Jake por y

y = 3x ------- 1

y + 4 = 2 (x + 4)

y = 2x + 8 - 4

y = 2x + 4 ------- 2

x = y / 3 ------- 3

Sustituye 3 en 2

y = 2 (y / 3) + 4

Multiplicar por 3

3y = 2y + 12

3 años - 2 años = 12

y = 12

Pero y = 3x

Por eso;

x = 12/3

x = 4

Dentro de cinco años

Jake = 12 + 5 = 17años

Answer: move the point or decimal

Step-by-step explanation: you just remove the decimal that means the point the devide and put it back

It will take Vincent 24 number of days to build the cubby house by himself.

Let's assume that Vincent can build the cubby house alone in h days.

From the given information, we know that Nadia takes 12 days to build the cubby house, and when Nadia and Vincent work together, they can finish it in 8 days.

We can use the concept of "work done" to solve this problem. The amount of work done is inversely proportional to the number of days taken.

Nadia's work rate is 1/12 of the cubby house per day, while the combined work rate of Nadia and Vincent is 1/8 of the cubby house per day.

When Nadia and Vincent work together, their combined work rate is the sum of their individual work rates:

1/8 = 1/12 + 1/h

To solve for h, we can rearrange the equation:

1/h = 1/8 - 1/12

1/h = (3 - 2) / 24

1/h = 1/24

Taking the reciprocal of both sides, we find:

h = 24

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Answer:

12590/80*100 = $15,737.50 4. Is your Answer

Step-by-step explanation:

12590 is 80% so simply divide by 80 and multiply by 100 to get the answer.

Answer:

look at the answer below

Step-by-step explanation:

this is xy + 25 = 0 if you wanted it. hope it helps

Answer:

(Rational Functions Practice)

3. Graph the function. (1 point)

xy+25=0

Step-by-step explanation:

Graph B. is the correct answer

The correct net that represents a Square pyramid is Option B.

A net is a two-dimensional pattern that can be folded into a three-dimensional figure. To draw a net of a square pyramid, we need to create a two-dimensional pattern that includes a square base and four triangular faces that meet at a common vertex.

Option A: This net has a square base, but it has three triangular faces and one trapezoidal face. Therefore, it does not represent a square pyramid.

Option B: This net has a square base and four triangular faces that meet at a common vertex. Therefore, it represents a square pyramid.

Option C: This net has a triangular base, so it does not represent a square pyramid.

Option D: This net has a square base, but it has six triangular faces that do not meet at a common vertex. Therefore, it does not represent a square pyramid.

Therefore, the correct net that represents a square pyramid is Option B.

It's important to note that there may be different ways to draw a net for a square pyramid, as long as the net includes a square base and four triangular faces that meet at a common vertex. However, Option B is a valid net for a square pyramid and represents the figure accurately.

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Answer:

d = 13

Step-by-step explanation:

First, the distance formula is needed:

\(d = \sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1 })^{2} }\)

Next we assign the points

(2,-4) is point 1, (7,8) is point 2

\(d = \sqrt{(7 - 2 )^{2} +(8 - (-4))^{2} } \\d = \sqrt{5^{2} +12^{2} } \\d = \sqrt{25 + 144}\\ d = \sqrt{169} \\d = 13\)

Given two points (2,-4) and (7,8)

To find - The distance between given points.

We know the formula that is used to find the distance is given as

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We let P = (2,-4)

and Q = (7,8)

\(x_1=2, y_1=-4\\x_2=7,y_2=8\)

on substituting we get

\(d=\sqrt{(7-2)^2+(8+4)^2}\\ d=\sqrt{(5)^2+(12)^2} \\d=\sqrt{25+144} \\d=\sqrt{169}\\ d=13\)

Hence we get the distance between (2,-4) and (7,8) is 13.

Final answer - The distance is 13.

"Purposive sampling" is the method employed when a researcher needs to identify a small number of important people who can provide pertinent information.

Purposive sampling, also referred as judgmental, selecting, or subjective sampling, is a type of non-probability sampling wherein the researchers pick individuals from the public to take part in their surveys based on their own judgment.

Thus, Purposive sampling is the method employed when a researcher needs to identify a small number of important people who can provide pertinent information.

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Using domain concepts, it is found that the two most known functions that do not have a domain of all real numbers are fractions and even roots.

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Second highest integer will have value of \(n+2\).

\(

n+(n+1)+(n+2)+(n+3)=126 \\

4n+6=126 \\

n=30

\)

So the value of the second highest of the consecutive integers is 32.

Hope this helps.

Answer:

32

Step-by-step explanation:

First, we must create an equation. If the integers are consecutive, it means that one comes right after the other (the difference is one). Here is the equation that will allow us to solve this problem:   (x) + (x + 1) + (x + 2) + (x + 3) = 126. Note that, although I have added parenthesis, these are just to separate each of the four integers we have not solved for yet. In your work, they will not make a difference in the answer!

Second, let's solve, beginning by combining like terms! There are four x's and 6 "regular" numbers (numbers without coefficients, in this case found by taking 1+2+3). This can be written out like so: 4x + 6 = 126.

Next, we must subtract the 6 from the left side and the right side in order to keep them equal. This gives us: 4x = 120.

Finally, let's divide both sides by four to find x!!! 120/4 =  30, meaning that: x = 30! For the last step, we must add 1, 2, and 3 to 30 to find all of the numbers. 30 + 1 = 31; 30 + 2 = 32, and 30 + 3 = 33! This gives us all four of our numbers: 30, 31, 32, and 33. The second highest of these is 32, which is our answer!

If you have any additional questions, please just comment below my answer and I'd be happy to help!