Determine whether the sequence {an} con- verges or diverges when O 1. converges with limit = -3 2 2. converges with limit = an = n²e-3n, alo 9 and if it converges, find the limit. 3. converges with l

The term "normally distributed error term with mean of zero" refers to the residual errors in a statistical model that follow a normal distribution with an average (mean) value of zero.

In statistics, when we use a model to represent data, there is often some variability or discrepancy between the predicted values of the model and the actual observed values. This discrepancy is captured by the error term, which represents the unexplained variation in the data.

A normally distributed error term with a mean of zero means that, on average, the errors have no bias or systematic tendency to be positive or negative. This means that the model is not consistently overestimating or underestimating the true values.

To illustrate this concept, let's consider a simple example. Suppose we have a linear regression model that predicts the exam scores of students based on the number of hours they studied. The error term in this model represents the difference between the predicted scores and the actual scores.

If the error term is normally distributed with a mean of zero, it implies that, on average, the predicted scores will be equal to the actual scores. However, individual predictions may still deviate from the true values due to random fluctuations.

In practical terms, a normally distributed error term with a mean of zero is desirable because it indicates that the model is unbiased and does not systematically under- or over-predict the outcomes. This assumption is often made in statistical analyses to ensure the validity of the results and to make appropriate inferences.

In summary, a normally distributed error term with a mean of zero implies that the errors in a statistical model have no systematic bias and follow a normal distribution. This assumption is important in many statistical analyses and helps to ensure the accuracy and reliability of the model's predictions.

Know more about linear regression model here:

https://brainly.com/question/32621004

#SPJ11

Answer:

Hello,

Step-by-step explanation:

A: roots are x=-1 and x=5 : x-intercepts are (-1,0) and (5,0) :TRUE

B: There are only 2 roots for quadratic function : FALSE

C: the function has a minimum for x=2 but the value of that minum is -9 : FALSE

D: (-oo,-9) :decrease ok, but (-x,oo) false: FALSE

E: TRUE (function is y=(x+1)(x-5)=x²-4x-5

F: minimum=-9 TRUE

G: TRUE (see graph jointed)

H: TRUE like F

I: FALSE

The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.



To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.

To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.

Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.

To learn more about volume click here

brainly.com/question/22907480

#SPJ11

The reflexive property of congruence states that anything is congruent to itself. Therefore, the statement 'If A KLM, then A KLM = A KLM' best illustrates this property as it states that triangle A KLM is congruent to itself.

The reflexive property for congruence in terms of triangles states that a triangle is always congruent to itself. This property is based on the idea that a thing is always identical to itself. Therefore, the statement that illustrates this property is: If A KLM, then A KLM = A KLM. This statement is saying that triangle A KLM is congruent to itself which is the essence of the reflexive property of congruence.

https://brainly.com/question/18722602

#SPJ2

Answer:

10x-20

Step-by-step explanation:

5(2x-4)

5x2=10

5x4=20

Answer:

50 i think not sure what kind a question this is

The algebraic expression for half of a number is x/2.

When we are working in algebra and we want to represent "a number", we use a variable for it.

We do this because "a number" can be any real number.

For example, we can say that a number is represented by the variable x.

Now, to write half of a number, we just need to divide our variable by 2, then we will get:

x/2

That is the algebraic expression.

Learn more about algebraic expressions:

https://brainly.com/question/4344214

#SPJ4

Answer:

Step-by-step explanation:

\( {10}^{ - 3} \)

In a heap, the height is defined as the number of edges on the longest path from the root to a leaf node. The height of a heap with n elements is at most log₂(n+1).

To find the minimum and maximum numbers of elements in a heap of height h, we can use the formula:

The minimum number of elements in a heap of height h is 2^h (a complete binary tree of height h with the minimum number of nodes).

The maximum number of elements in a heap of height h is 2^(h+1) - 1 (a complete binary tree of height h with the maximum number of nodes).

Therefore, the minimum and maximum numbers of elements in a heap of height h are:

Minimum: 2^h

Maximum: 2^(h+1) - 1

Note that not all values of h are valid heap heights. A heap must be a complete binary tree, so its height can only take on values that satisfy the formula: \(h < = log₂(n+1),\)where n is the number of elements in the heap.

Learn more about height here:

https://brainly.com/question/10726356

#SPJ11

The value of the triple integral ∭Ex⁶eʸdV over the region E is 0.

To evaluate the triple integral, we need to determine the limits of integration for each variable (x, y, z) based on the given bounds. The region E is bounded by the parabolic cylinder z = 81 - y² and the planes z = 0, x = 9, and x = -9.

The limits of integration for x are from -9 to 9. The limits of integration for y are determined by the parabolic cylinder, which is y² ≤ 81 - z. Since z = 0, the limits for y are -9 ≤ y ≤ 9. The limits of integration for z are from 0 to 81 - y².

Therefore, the triple integral can be expressed as:

∭Ex⁶eʸdV = ∫[-9, 9] ∫[0, 81-y²] ∫[-9, 9] x⁶eʸ dz dy dx

However, when we look at the integrand, Ex⁶eʸ, we see that it is an odd function with respect to x. Since we are integrating over symmetric bounds (-9 to 9) and the integrand is an odd function, the value of the integral will be 0. Hence, the value of the triple integral ∭Ex⁶eʸdV over the region E is 0.

To know more about triple integral, visit,

https://brainly.com/question/31315543

#SPJ4

Complete question - Evaluate the triple integral ∭Ex⁶eʸdV where E is bounded by the parabolic cylinder z=81−y² and the planes z=0,x=9, and x=−9.

Answer: Let's represent the value of car 1 as x. Then, the value of car 2 is 3/4 of x, and the value of car 3 is 4/5 of the value of car 2.

So, we can write the following equations:

x = (3/4) * y

y = (4/5) * z

Where y is the value of car 2, and z is the value of car 3.

Adding all the values, we have:

x + y + z = 1115900

We can substitute the values of y and z in terms of x:

x + (3/4) * x + (4/5) * (3/4) * x = 1115900

Simplifying the expression on the left side, we get:

7/4 * x = 1115900

Finally, dividing both sides by 7/4, we get:

x = 359900

So, the value of car 1 is $359900, the value of car 2 is (3/4) * x = (3/4) * 359900 = 269925, and the value of car 3 is (4/5) * (3/4) * x = (4/5) * (3/4) * 359900 = 213140.

Step-by-step explanation:

Answer: the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.

Step-by-step explanation:

Let's call the value of car 1 "x".

From the first ratio, we know that the value of car 2 is 4/3 times greater than the value of car 1, and the value of car 3 is 3/4 times greater than the value of car 1.

So, the value of car 2 is 4/3 * x, and the value of car 3 is 3/4 * x.

From the second ratio, we know that the value of car 2 is 8/5 times greater than the value of car 3.

So, the value of car 2 is 8/5 * (3/4 * x) = 6/5 * x.

The total value of all three cars is $1115900, so we can set up an equation to solve for x:

x + 4/3 * x + 3/4 * x = 1115900

Expanding and simplifying the right side:

x + 4/3 * x + 3/4 * x = 1115900

8/3 * x = 1115900

x = 1115900 * 3 / 8

x = 467125

So, the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.

The opportunity cost of washing a car for Ted is 4 cars, and the opportunity cost of washing a car for Ishana is 3 cars.

To determine each person's opportunity cost of washing a car, we need to compare the alternative activity they would have to give up in order to wash a car.

For Ted:

Ted can wax 4 cars or wash 12 cars. So, the opportunity cost of washing a car for Ted is the number of cars he could have waxed instead. In this case, Ted would have to give up waxing 4 cars to wash a car.

For Ishana:

Ishana can wax 3 cars or wash 6 cars. So, the opportunity cost of washing a car for Ishana is the number of cars she could have waxed instead. In this case, Ishana would have to give up waxing 3 cars to wash a car.

Therefore, the opportunity cost of washing a car for Ted is 4 cars, and the opportunity cost of washing a car for Ishana is 3 cars.

Learn more about numbers at:

https://brainly.com/question/24908711

#SPJ4

Answer:

3.41666667

Step-by-step explanation:

Answer:

The correct answer would be $126.00

Step-by-step explanation:

If you see how many times 40% goes into 100%, it would be 2.5 times. Then you multiply the 40% of the overall price ($50.40) times 2.5 and that gives you $126.

Hope this helps!!

Answer:

650 kg/m³

Step-by-step explanation:

The density is the ratio of mass to volume. The volume is the product of the dimensions of the prism.

 density = (146.25 kg)/((1.5 m)(0.75 m)(0.2 m)) = 146.25/0.225 kg/m³

 = 650 kg/m³

Hope this answer helps you :)

Have a great day

Mark brainliest

(a) The critical numbers is -3.

(b) The open intervals where the function is increasing is  (-∞, -3).

(c) The open intervals where is decreasing when the interval is (-3, ∞).

Now let's look at function, f(x) = (x+9)/(x+2)³. To find the critical numbers of this function, we need to find where the derivative is equal to zero. The derivative of this function can be found using the quotient rule and is:

f'(x) = [(x+2)³ - 3(x+2)²(x+9)]/(x+2)⁶

Setting this equal to zero and solving for x, we get x = -3. So, the critical number of the function is -3.

If the derivative is positive, the function is increasing. If the derivative is negative, the function is decreasing.

To the left of the critical number (-3), the derivative is negative (since (x+2)³ - 3(x+2)²(x+9) is negative for x < -3).

Therefore, the function is decreasing on the interval (-∞, -3).

To the right of the critical number, the derivative is positive (since (x+2)³ - 3(x+2)³(x+9) is positive for x > -3). Therefore, the function is increasing on the interval (-3, ∞).

To know more about function here.

https://brainly.com/question/28193995

#SPJ4

Answer:

La función es: f(x) = 20+0.5x

Step-by-step explanation:

La función que representa la condición sería:

f(x) = 20+0.5x

Donde:

Espero te haya servido!

Answer:

Area = x^2 + 4x

Step-by-step explanation:

Width: x

Length x + 4

Area = x (x + 4)

Answer:

9/8

Step-by-step explanation:

3/16 x 6

= 3/16 x 6/1

= 18/16

= 9/8

Answer:

5x + 1

Step-by-step explanation:

Answer: the answer is = 20x − 4

Answer:

7/9

Step-by-step explanation:

There are 9 marbles total. there are 3 green, 4 blue, and 2 orange. The chance of picking an orange is 2/9. The chance of picking a green is 3/9, or 1/3. The chance of picking a blue is 4/9. To find the chance of not picking an orange, add 3/9 and 4/9 to get 7/9. The chance of not picking an orange is 7/9. I hope this helps!

Answer:

x = 2.16

Step-by-step explanation:

Question :

\(\frac{3.5x}{9} =\frac{4.2}{5}\)

Use cross multiplication.

3.5x × 5 = 9 × 4.2

17.5x = 37.8

Divide both sides by 17.5.

x = 2.16

Let me know if you have any other questions. :-)

hi there!

\( = \tt \color{red}x = \frac{126}{65} \\ \\in \: \: alternate \: \: form \\ \tt \color{red} x = 1 \frac{61}{65} \: \: and \: \: x = 1.9384615\)

Step-by-step explanation:

\(\tt \color{grey} \frac{3.9x}{9} = \frac{4.2}{5} \)

\(\tt \color{grey} \frac{39}{ \frac{10}{9} } x = \frac{4.2}{5} \)

\(\tt \color{grey} \frac{39}{ \frac{10}{9} } x = 0.84\)

\(\tt \color{grey} \frac{39x}{ \frac{10}{9} } = 0.84\)

\( \bold \color{wheat} \tiny \: simplify \: \: the \: \: complex \: \: fraction \: \: \frac{13x}{30 = 0.84} \: multiplying \: \: both \: \: sides of \: \: the \: \: equation \: by \: \frac{30}{13} \)

\(\tt \color{grey}x = \frac{30}{13 } \times 0.84\)

\(\tt \color{grey}x = \frac{30}{13} \times \frac{21}{25} \)

\(\tt \color{grey}x = \frac{6}{13} \times \frac{21}{5} \)

\(\tt \color{red}x = \frac{126}{65} \\ \\ \small \tt\color{green}in \: \: alternate \: \: form \\ \\ \tt \color{aqua}x = 1 \frac{61}{65} \: and \: \: x = 1.9384615\)

hope it helps

Answer: The simplest form of a fraction is when the numerator and denominator of the fraction are relatively prime, which means that the numerator and denominator have no common factor.

Answer:

tricky translations  Hope this helps Nat :)

Step-by-step explanation:

1)  (x,y) -> (-2+y, -x)    so just find a point on the first object and use those rules they have giving us to move to the 2nd translated point... like... let's use the point at (1,1) on the corner of the 1st object b/c 1,1 seems like an easy point to work with :)   soooo since  x=1 and y=1 for the point we are moving... plug those into our formula.. (-2+1, -1 ) is where the corner of the 1st object moves to.. get it?   so  to (-1,-1) is the destination of the new corner.. so put a point at (-1,-1) and keep in mind that it's that bottom left corner of that picture.. then try the top right corner at (2,3)  to see if our object rotates at all  ?  hmmm  so plug in to our formula again  ( -2+3, -2)  = (1,-2)  this is the top right corner put another dot at that point...  then try ( 2,1) that bottom right side of our object... so (-2+1,-2) = (-1,-2)  put another point there.. maybe you can see the object now but if unsure try the point at (1,2)  from the original object and see where that plots (-2+2,-1) = (0,-1)  put another dot at that point.  now you can probably see the object .. it's been turned and move over .. huh see it?  :)

2)for this one we are given y= -x  seems like very little info,  huh.. it's designed to give little info to "throw" you.. I feel like it's a disingenuous way to try and "trick" people into feeling dumb.. anyway.. if y = -x then  x = -y also, so let's put that into our formula  ( x, y) -> (-y, -x)  see?    so now reverse the points to get back to the start... take a point at say (1,1) and put it into the formula.. and we get (-1,-1)  see?  (2,1) -> (-2,-1)   (1,2) -> (-1,-2)   (2,3) -> (-2,-3)   put points at each of the new locations of the starting point graph... and the connect them the object is flipped and rotated by 180 huh..  over the x=y line,   see it?  

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

Learn more about equations here

https://brainly.com/question/29657992

#SPJ11

Except than x = 1, all real numbers fall within the function's domain.

Since there are no limitations on what we can substitute for x, the domain of a function, f(x), is all real numbers because any real numbers would make f(x) a defined function. As a result, when this is not the case, the domain of a function, f(x), is not all real numbers.

The rational function r(x) = 2x/(x-1) is defined as follows.

So, we set the denominator to zero and solve for x in order to determine the domain of r(x):

x - 1 = 0

x = 1

Hence, x = 1 is the only value of x that causes the denominator to equal 0. R(x) therefore has a domain of all real numbers other than x = 1.

We can express the domain as follows in interval notation:

(-∞, 1) U (1, ∞)

Except than x = 1, all real numbers fall within the function's domain.

To know more about function visit:-

https://brainly.com/question/14830166

#SPJ1

Question:

Which of the following correctly describes the domain of the function shown below?

r(x) = 2x x-1

A. {x:x0}

B. {x: x = 1}

c. x all .real .numbers}

D. xx1}

Answer:

16

Step-by-step explanation:

first we know that FJ = JH cause the bisector, so let's solve FJ first

FJ=X

I think that the whole triangle is a isosceles triangle

so 3x-8=16

x=8

FJ=8 and FJ = JH so

FJ+JH=FH

8+8=FH

16=FH

Answer:

Step-by-step explanation:

We know that:

Add:

Hence, San Diego is 65 ft. higher than Death Valley.

Hoped this helped.

\(BrainiacUser1357\)