Write an equation of a hyperbola from the given information. Assume the center of each hyperbola is (0,0) .

(Distance from the center of a hyperbola to a focus) ²=96 ; endpoints of the transverse axis are at (-√32, 0) and (√32, 0) .

The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

The mean absolute deviation (MAD) measures the average distance between each data point and the mean of the dataset. To find the MAD, you need to follow these steps:

1. Calculate the mean of the dataset by adding up all the numbers and dividing the sum by the total number of data points. In this case, the dataset consists of the following numbers: 3, 6, 3.8, 3.2, and 3.4. Adding them up gives us a sum of 19.4. Dividing this sum by 5 (since there are 5 data points) gives us a mean of 3.88.

2. Find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value. For example, for the first data point, 3, the absolute deviation would be |3 - 3.88| = 0.88. Repeat this step for all the data points.

3. Calculate the mean of the absolute deviations by adding up all the absolute deviations and dividing the sum by the total number of data points. In this case, the absolute deviations are: 0.88, 2.12, 0.72, 0.68, and 0.58. Adding them up gives us a sum of 4.98. Dividing this sum by 5 gives us a mean of 0.996.

So, the mean absolute deviation for the given dataset is approximately 0.996.


The mean absolute deviation helps us understand how much each data point varies from the mean of the dataset. By calculating the absolute deviation for each data point and finding the average, we can determine the typical amount of variation in the dataset.


The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

To know more about  dataset visit ;

https://brainly.com/question/33387027

#SPJ11

Answer:

need more info

Step-by-step explanation:

The equation of line passes through the point (-1, - 4) will be;

⇒ y = - 2x - 6

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (-1, -4).

And, The gradient is,

⇒ m = - 2

Now,

Since, The equation of line passes through the point (- 1, - 4).

And, The gradient is,

⇒ m = - 2

Thus, The equation of line with slope - 2 is,

⇒ y - (-4) = - 2 (x - (-1))

⇒ y + 4 = - 2 (x + 1)

⇒ y + 4 = - 2x - 2

⇒ y = - 2x - 2 - 4

⇒ y = - 2x - 6

Therefore, The equation of line passes through the point (-1, - 4) will be;

⇒ y = - 2x - 6

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

Answer:

ray df or ray fd because both of these letters are consecutive in both of the angles.  

Step-by-step explanation:

Answer:

Answer is Ray FD

Step-by-step explanation:

Given the following angles, what ray is the common side of ∠CFD and ∠DFE?

A. Ray FC

B. Ray FE

C. Ray FD

The cross-section is a rectangle.

What is cross-section?

In physics, a cross-section refers to the measure of the probability of a specific type of interaction between particles in a collision or scattering event. It is a quantitative measure of the effective area presented by the target particle to an incoming projectile particle.

What is rectangle?

A rectangle is a 2-dimensional geometric shape with four sides and four right angles (90-degree angles). It is a type of parallelogram, where opposite sides are parallel and equal in length. The two pairs of opposite sides of a rectangle are also congruent to each other, meaning they have the same length.

In the given question,

the cross-section is perpendicular to  base, it's parallel to the lateral faces of prism. which  means it will be the same shape as the lateral faces.

The lateral faces of the  rectangular prism are rectangles; which shows this cross-section will be a rectangle

To know more about cross-section, visit:

https://brainly.com/question/15541891

#SPJ1

Answer:

2,070,281

Step-by-step explanation:

let x = number of years

let y = population

Given:

y = 500000 × 1.07^x

when x = 21:

y = 500000 × 1.07^(21) = 2070281.187... = 2,070,281

Answer:

whats the question

Step-by-step explanation:

whats the question

Answer:The rest of the question is: Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Step-by-step explanation:

Took the test

Answer:

0.512 = 51.2%

1.94 = 194%

0.9 = 90%

1.33 = 133%

1.14 = 114%

1.42 = 142%

Step-by-step explanation:

 To convert a decimal to a percent, move the decimal point two spaces to the right.

 Converting a percent to a decimal works the same way, except you move the decimal two spaces to the left.

[Note: If there aren't enough numbers to go over two spaces, place a zero at the end. For example, if you have 0.9, and you need to convert it into a percent, you'd place a zero after the 9, making it 0.90.]

The surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.

The area of the outer layer of any object or cylinder is called the surface area. Here we have a cylinder with a base radius of 6 cm and a height of 8 cm.

The formula for the surface area of a cylinder:-

SA = 2πrl

SA = 2 x π x 6 x 8

SA = 301.6 cm ²

Therefore the surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.

To know more about surface area follow

https://brainly.com/question/1297098

#SPJ1

Answer: $132.50

Step-by-step explanation:

Because.....

Before Tax Price: $125.00

Sale Tax: 6.00% or $7.50

After Tax Price: $132.50

Therefore, the answer is $132.50

* Hopefully this helps!!

An expression that has any value other than 0 is considered true by an if statement. The answer to this statement is True.

The idea of truth values in mathematics is connected to the validity of a statement or proposition. A statement can either be true or untrue; there is no other option. When dealing with Boolean values, however, a different technique is employed in programming. In this context, any value other than 0 is deemed true.

This implies that when used in an if statement, a value that is negative, decimal, or a non-zero integer will be assessed as true. This is due to the statement's focus on the presence of a value rather than its truth or falsity.

Therefore, the statement that says that an expression that has any value other than 0 is considered true by an if statement is True.

Learn more about Non-Zero Integer:

https://brainly.com/question/28239696

#SPJ4

True. In programming, an expression that has any value other than 0 is considered true by an if statement. The value of an expression can be a number, a string, a boolean, or any other data type.

If the value is not 0, then it is considered true, and the if statement will execute the code block associated with it. If the value is 0, then it is considered false, and the if statement will skip the code block associated with it.

In an if statement, an expression with any value other than 0 is considered true. If the expression's value is 0, the if statement evaluates it as false. This means the code block associated with the true condition will execute when the expression's value is not 0, and the code block associated with the false condition will execute when the expression's value is 0.

To learn more about expression - brainly.com/question/23671908

#SPJ11

Answer: $36 for one ipad.

Step-by-step explanation:

$78- $6=72

72 divided by 2 = $36

Step-by-step explanation:

If 78 is the cost of two ipads plus a six daller coupond you would add 78 and 6 the would equal 84

                                                          Or

78 + 78 = 156

156 + 6 = 162

Answer:

Representative example

Population

Not a Representative example

Answer: Drivers who reside in Middle field : NOT a Representative Sample

Residents of Middle field : Population

Residents randomly chosen from the town register : Representative Sample

Step-by-step explanation:

This is the actual correct answer

Working efficiently, grouping tasks together, using the hood only when necessary, and proper cleaning and maintenance can all help minimize the number of times the hood sash is raised and lowered.

To minimize the number of times the hood sash is raised and lowered, it's important to work efficiently as possible in the hood. This means planning out your work ahead of time and grouping tasks together that require similar equipment or materials.

Know more about the grouping tasks

https://brainly.com/question/30282951

#SPJ11

According to question,  the simplified form of (6/n)^-2 is n^2/36.

To simplify (6/n)^-2, we need to apply the rule for negative exponents, which states that a^-n = 1/a^n for any nonzero number a and any positive integer n.

So, we have:

(6/n)^-2 = (n/6)^2

Now, we can evaluate the numerical power:

(n/6)^2 = n^2/6^2 = n^2/36

what is exponents?

Exponents are a mathematical notation that indicates the number of times a quantity is multiplied by itself. They are used to represent repeated multiplication of the same number. An exponent is written as a superscript to the right of a base number, indicating how many times to multiply the base by itself. For example, 2 raised to the power of 3 is written as 2³ and means 2 multiplied by itself three times, or 2 x 2 x 2, which equals 8. Exponents are an important concept in many areas of mathematics, including algebra, calculus, and number theory.

To learn more about exponents visit:

brainly.com/question/5497425

#SPJ11

Step-by-step explanation:

5% Tip = $4.80

1% = $4.80/ 5

Cost of procedure = $4.80/5 x 100% (Equation)

b = $4.80 x 20.0 or 20($4.80)

b =$96

we know that

A diameter of the circle is a chord that passes through the center

so

In this problem we have that

the diameter are

Answer:

54a6b2+9ab2 factored is

9ab2(6a⁵+ 1)

4-c=-1/3

3[4-c]= -1

12-3c= -1

12+1=3c

13=3c

c=13/3

c=4 1/3

If we set m = 4 and n = 1, we get a = 15 and c = 17, which means (15, 60, 17) is a primitive Pythagorean triple with b = 4T5. Also, we can find primitive Pythagorean triples with b = 4T6 and b = 4T7 by using the same method. We get (21, 84, 87) for b = 4T6 and (28, 112, 113) for b = 4T7. Therefore, it is clear that for every triangular number Tn, there is a primitive Pythagorean triple (a, b, c) with b = 4Tn

A Pythagorean triple is a set of three integers that satisfy the Pythagorean theorem, which states that the sum of the squares of the lengths of the two shorter sides of a right triangle is equal to the square of the length of the longest side, or hypotenuse. For example, the triple (3, 4, 5) is a Pythagorean triple because 3^2 + 4^2 = 5^2.

Now let's talk about triangular numbers. A triangular number is the sum of the first n positive integers, and it can be represented by the formula Tn = 1 + 2 + 3 + ... + n = (n(n+1))/2. The first few triangular numbers are 1, 3, 6, and 10.

Interestingly, in the list of the first few Pythagorean triples, we can observe a pattern where the value of b is four times a triangular number. For example, in the Pythagorean triple (3, 4, 5), we have b = 4T1. In (5, 12, 13), b = 4T2. In (7, 24, 25), b = 4T3. And in (9, 40, 41), b = 4T4.

So the question is: is this pattern true for all triangular numbers? Let's investigate further.

a) To find a primitive Pythagorean triple (a, b, c) with b = 4T5, we need to find a value of a and c such that a^2 + b^2 = c^2 and b = 4T5. Using the formula for T5, we get T5 = (5(5+1))/2 = 15. Therefore, b = 4T5 = 60. We can use the Euclid's formula for generating Pythagorean triples, which states that for any two positive integers m and n with m > n, a Pythagorean triple (a, b, c) can be generated by a = m^2 - n^2, b = 2mn, and c = m^2 + n^2.

If we set m = 4 and n = 1, we get a = 15 and c = 17, which means (15, 60, 17) is a primitive Pythagorean triple with b = 4T5.

Similarly, we can find primitive Pythagorean triples with b = 4T6 and b = 4T7 by using the same method. We get (21, 84, 87) for b = 4T6 and (28, 112, 113) for b = 4T7.

b) Now, the question is whether there is a primitive Pythagorean triple (a, b, c) with b = 4Tn for any triangular number Tn. Let's assume this is true and try to prove it.

Using the same Euclid's formula, we can generate a primitive Pythagorean triple (a, b, c) with b = 4Tn by setting m = 2Tn+1 and n = Tn. This gives us a = 4Tn^2 + 1 and c = 4Tn^2 + 2Tn + 1, and we can verify that b = 4Tn using the formula for Tn.

Therefore, we have proven that for every triangular number Tn, there is a primitive Pythagorean triple (a, b, c) with b = 4Tn

For more such questions on Pythagorean triple.

https://brainly.com/question/15190643#

#SPJ11

(a) Expected number of repairs per year is 0.33 (b) Standard deviation of number of repairs per year is 0.749, (c) The mean and standard deviation of annual expense are $136.55 and $26.217 respectively.

Standard deviation is a measure in statistics which measures the amount of deviation a set of data has with respect to their mean.

(a) Expected number of repairs for the freezer per year is the sum of the product of number of repairs to their probability.

E(Repairs) = (0 × 0.80) + (1 × 0.11) + (2 × 0.05) + (3 × 0.04)

                 = 0.33

(b) Standard deviation of number of repairs per year can be calculated as,

SD(Repairs) = \(\sqrt{[(0 - 0.33)^{2}(0.8)]+[(1-0.33)^{2}(0.11)] + [(2-0.33)^{2}(0.05)]+[(3-0.33)^{2}(0.04)] }\)

= √ (0.5611)

= 0.749

(c) Mean of the restaurant's annual expense with service contract is,

Mean = Expected cost = $125 + ($35 × 0.33) = $136.55

Standard deviation of the restaurant's annual expense with service contract is,

SD = \(\sqrt{35^{2}(0.5611) }\) = 35 × 0.759 = 26.217

Hence the expected number of repairs is 0.33, standard deviation of number of repairs is 0.749, mean and standard deviation of annual expense is $136.55 and $26.217 respectively.

Learn more about Standard Deviation here :

https://brainly.com/question/23907081

#SPJ1

If a set s = {u1,...., up} g has the prοperty that ui*uj uj d 0 whenever i≠ j , then S is an οrthοnοrmal set. The given statement is false.

The prοperty mentiοned in the statement, which states that the inner prοduct οf any twο distinct vectοrs in the set is zerο (i.e., ui * uj = 0 fοr i ≠ j), implies οrthοgοnality. Hοwever, fοr a set tο be cοnsidered οrthοnοrmal, it must satisfy twο cοnditiοns:

1. Orthοgοnality: Each pair οf distinct vectοrs in the set must be οrthοgοnal, meaning their inner prοduct is zerο.

2. Nοrmalizatiοn: Each vectοr in the set must have a length (οr magnitude) οf 1, which is achieved by dividing each vectοr by its nοrm.

In the given statement, οnly the οrthοgοnality cοnditiοn is satisfied, but the nοrmalizatiοn cοnditiοn is nοt mentiοned. Therefοre, we cannοt cοnclude that the set is οrthοnοrmal based οn the given prοperty alοne.

To know more about orthonormal set, refer here:

https://brainly.com/question/30549488

#SPJ4  

Answer:

(5 , 1)

Step-by-step explanation:

coordinate point is (2 , 9)

translation rule is

(x , y) = (x + 3 , y - 8)

here x is 2 and y is 9

so  the new coordinate will be

(x + 3 , y - 8)

(2 + 3 , 9 - 8)

(5 , 1)

Answer:

1 inch to 20 miles

Step-by-step explanation:

The equation that models the height of the baseball is determined as H(t) = 5 + 49.64t -16(t)².

The maximum height reached by the baseball is calculated as follows;

H = y₀ + v₀yt + ¹/₂gt²

Assuming negative direction for upward motion

H = y₀ + v₀yt - ¹/₂gt²

0 = y₀ + vt -16(t)²

0 = 5 + 3.2v - 16(3.2)²

0 = 5 + 3.2v - 163.84

3.2v = 158.84

v = 158.84/3.2

v = 49.64

H(t) = 5 + 49.64t -16(t)²

Learn more about maximum height here: https://brainly.com/question/12446886

#SPJ1

Answer:C?

Step-by-step explanation:

edge

Answer:

I guess A is the correct answer.

Answer:

The correct answer would be a

Answer:

4.46 will be the diameter

The formula for circumference is diameter x pi

Since the circumference is given in terms of pi, the diameter is the number given.

Diameter = 14 inches.

The planet that has the larger mass is the planet B and the measurements in standard forms are

From the question, we have the following parameters that can be used in our computation:

Planet A = 5*10^26 kilograms

Planet B = 2*10^28 kilograms

Rewrite the masses properly

So, we have

Planet A = 5*10²⁶ kilograms

Planet B = 2*10²⁸ kilograms

The exponent 28 is greater than the exponent 26

This means that

2*10²⁸ is greater than 5*10²⁶

So, we have

Planet B has the larger mass

When the measurements are expressed in standard forms, we have

Planet A = 500000000000000000000000000 kilograms

Planet B = 20000000000000000000000000000 kilograms

Read more about standard forms at

https://brainly.com/question/1708649

#SPJ1