in a regression model, if variance of the dependent variable, y, conditional on an explanatory variable, x, or var(y|x), is not constant, .

Answer:

It's (C) square, I got it correct.

Step-by-step explanation:

Answer: B. X = \(4\sqrt{6}\)

Step-by-step explanation:

sec(45) = hyp/12

12sec(45) = hyp

hyp = 16.9

cot(60) = x/16.9

16.9cot(60) = x

x = 9.7

B. X = \(4\sqrt{6}\)

Answer:

b

Step-by-step explanation:

An integer is a whole number

If the stock market gains by 10 basis points. It means that it increases by (0.0001 x 10) = 0.001% or 0.00001

this is a decimal and not an integer

Answer: d=12

Step-by-step explanation:

\(\displaystyle\\\frac{3d-2}{8} =-d+16\frac{1}{4} \\\\\frac{3d-2}{8} =-d+\frac{16*4+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{64+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{65}{4}\)

Multiply both parts of the equation by 8:

\(\displaystyle\\3d-2=(-d+\frac{65}{4} )(8)\\\\3d-2=-8d+65*2\\\\3d-2=-8d+130\\\\3d-2+2=-8d+130+2\\\\3d=-8d+132\\\\3d+8d=-8d+132+8d\\\\11d=132\\\)

Divide both parts of the equation by 11:

\(d=12\)

The total surface area of the pyramid is: 208.88 m²

The surface area of the pyramid is simply the sum of the areas of all the given surfaces.

Formula for the area of a triangle is:

Area = ¹/₂bh

where:

b is base

h is height

Area of four side triangles = 4(¹/₂ * 8 * 12) = 192 m²

Using Pythagoras theorem, the height of the base triangle is:

x = 4.22

Area of base = ¹/₂ * 8 * 4.22 = 16.88 m²

Total surface area = 192 + 16.88

= 208.88 m²

Read more about Pyramid Surface Area at: https://brainly.com/question/22744289

#SPJ1

Answer:

$12.60

Step-by-step explanation:

average price of a gallon of orange juice in Boston = average price in NJ + value of percentage increase over NJ's price

value of percentage increase over NJ's price  = 110% x $ 6

= 1.10 x $6 = 6.6

6.6 + 6 = $12.60

To prove this identity, we start with Fermat's Little Theorem, which states that if p is a prime number and a is any integer coprime to p, then a^(p-1) ≡ 1 (mod p).

Using this theorem, we can rewrite the given identity as a^(p-1) * a(p-2) ≡ 1 (mod p^2).

Next, we can multiply both sides by a to get a^(p-1) * a(p-1) ≡ a (mod p^2).

Since a and p are coprime, we can use Euler's Totient Theorem, which states that a^φ(p) ≡ 1 (mod p) where φ(p) is the Euler totient function. Since p is prime, φ(p) = p-1, so a^(p-1) ≡ 1 (mod p).

Using this result, we can rewrite our identity as a^(p-1) * a(p-1) * a^-1 ≡ a^(p-1) ≡ 1 (mod p), which implies that a^(p-1) ≡ 1 (mod p^2).

Therefore, we have proven the identity a p(p−1) ≡ 1 (mod p 2 ), where a is coprime to p, and p is prime.

Visit here to learn more about  Fermat's Little Theorem : https://brainly.com/question/30761350
#SPJ11

If the dimension of the cubicle is 7 ft by 8 ft by 5 ft. Then the volume of the cubicle will be 280 cubic feet.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

An office cubicle measures seven feet by eight feet with a five-foot wall.

Then the volume of the cubicle will be

The volume is given as

Volume = length x width x height

We have

Volume = 7 x 8 x 5

Volume = 280 cubic feet

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

The length of arc QS is approximately 7.85 units. to explain, the length of an arc can be calculated using the formula: L = 2πr(m/360), where r is the radius and m is the measure of the central angle in degrees. In this case, the central angle measure is 78 degrees, and the radius is not given. Without the radius, we cannot determine the exact length of the arc.

To find the length of an arc, we need two pieces of information: the measure of the central angle and the radius of the circle. In this case, we are given the measure of the central angle, which is 78 degrees, but the radius is not provided. Without the radius, we cannot directly calculate the length of the arc. The formula to find the length of an arc is L = 2πr(m/360), where L is the length of the arc, r is the radius, and m is the measure of the central angle. If we had the radius, we could substitute the values into the formula and calculate the exact length of the arc. However, without the radius, we cannot provide an exact value and can only give a general explanation.

Learn more about length here:

https://brainly.com/question/32060888

#SPJ11

Step-by-step explanation:

If you mean what are the solutions (zeroes or 'roots') :

the graph is equal to zero at x = 2 and 5  

  this is where the graph crosses the x-axis

the quadratic would be   f(x) = (x-2)(x-5)  = x^2 -7x+10

The actual cost to see the game is $150, as that is the amount you paid for the ticket. The cost in this scenario can be considered an opportunity cost. By choosing to attend the game instead of selling the ticket for $400, you forgo the opportunity to earn that additional $400.

In this scenario, the cost of attending the game refers to the actual amount of money you spent on the ticket, which is $150. This is the out-of-pocket expense that directly affects your financial resources.

On the other hand, the opportunity cost is the potential benefit or value that you give up by choosing one option over another. In this case, if you had sold the ticket for $400, you would have received a higher amount of money, which represents the opportunity cost of attending the game. By deciding to go to the game, you forego the opportunity to earn that additional $400.

Opportunity cost is a concept in economics that emphasizes the value of the next best alternative forgone when making a decision. It helps assess the trade-offs involved in different choices and helps in evaluating the true cost of a decision beyond the immediate financial expenses.

To know more about actual cost,

https://brainly.com/question/30552529

#SPJ11

Answer:

343.97

Step-by-step explanation:

price of vending machine is 100% = 324.50

100% + 6% sales tax = 106%=1.06

324.50*1.06

343.97

Answer:

(5 , 3)

Step-by-step explanation:

x + y = 8 ----------------(I)

-x + 3y = 4 ----------(II)

Add equation (I) and (II) and so x will be eliminated and we can find the value of y

(I)      x + y    = 8

(II)   -x   + 3y = 4  

             4y = 12  {Divide both sides by 4}

y = 12/4

y = 3

Plugin y = 3 inn equation (I)

x + 3 = 8 {Subtract 3 from both sides}

     x = 8 -3

x = 5

The difference between groups and the sample size makes the results of a study statistically significant.

Statistical significance is a measure of the likelihood that the results of a study are not due to chance. In order for a result to be statistically significant, it must meet two criteria:

The difference between groups must be large enough to be unlikely to occur by chance. This is typically assessed using a statistical test such as a t-test or an ANOVA.

The result of the test is expressed as a p-value, which represents the probability of obtaining the observed results if there were no true difference between groups. A p-value of less than 0.05 (or 5%) is generally considered to be statistically significant.

The sample size must be large enough to reduce the possibility of sampling error. A larger sample size generally increases the power of a study, making it more likely to detect a true effect.

To learn more about statistically significant click on,

https://brainly.com/question/29663617

#SPJ4

Answer

64

Step-by-step explanation:

4 x 4 x 4
so it's like you take 4 and 3 stage = 4 x 4 x 4

Hope it helped !
Have a nice day studying ! Mark me as Brainliest too Ty !

2 of Spades: There's only one 2 of spades card in the deck, so the probability of choosing the 2 of spades is 1/52.

A Jack: There are 4 Jacks in the deck, so the probability of choosing a jack is 4/52, or 1/13.

A red King: There are 2 red kings in the deck, so the probability of choosing one is 2/52, or 1/26.

A Diamond suit: There are 13 diamond cards in the deck, so the probability of choosing one is 13/52, or 1/4.

The factor in the graph that supports the idea that the greater the rainfall in June through August, the fewer acres are burned by wildfires is the negative correlation between rainfall and acres burned.

The graph shows a negative correlation between the amount of rainfall in June through August and the number of acres burned by wildfires. As the amount of rainfall increases, the number of acres burned decreases. This suggests that wetter weather can help reduce the risk of wildfires.

The graph provides a visual representation of the relationship between rainfall and wildfires. It shows that there is a clear negative correlation between the two variables. This means that as one variable increases, the other decreases. In this case, the variable of interest is the number of acres burned by wildfires. The graph shows that when there is less rainfall in June through August, more acres are burned by wildfires. Conversely, when there is more rainfall during these months, fewer acres are burned. This makes sense because rainfall can help reduce the risk of wildfires by making vegetation less dry and therefore less susceptible to catching fire. Additionally, wetter weather can help firefighters contain and extinguish fires more quickly and effectively.

To know more about graph visit :-

https://brainly.com/question/17267403

#SPJ11

Answer:

Step-by-step explanation:

Let the number be x

14 ÷ x = \(\frac{14}{x}\)

Answer:

14 / x

Step-by-step explanation:

quotient = /

14 = 14

a number = the variable, let's call it x

Brainliest please!

Answer:

I would but there's no image

The equation of the line that passes through the point (8, -4) and is parallel to the line x - 4y = 12 is x - 4y = - 8.

Two lines with slopes m₁ and m₂ are parallel when m₁ = m₂ and perpendicular when m₁*m₂ = -1.

In the question, we are asked for the equation of the line that passes through the point (8, -4) and is parallel to the line x - 4y = 12.

The given line can be shown as:

x - 4y = 12,

or, - 4y = - x + 12,

or, y = x/4 - 12/4,

or, y = x/4 - 3.

Comparing it to the slope-intercept form of a line, y = mx + b, we get the slope, m = 1/4.

The line parallel to this will also have the slope, m = 1/4.

The required line passes through the point (8, -4).

Using the one-point formula, (y - y₁) = m(x - x₁), we can write the required equation as:

y - (-4) = (1/4)(x - 8),

or, y + 4 = x/4 - 2,

or, y = x/4 + 2,

or, x/4 - y = -2,

or, x - 4y = - 8.

Thus, the equation of the line that passes through the point (8, -4) and is parallel to the line x - 4y = 12 is x - 4y = - 8.

Learn more about parallel lines at

https://brainly.com/question/13763238

#SPJ1

A) The total current flowing through the wire is approximately 25.13 A.                                                                                                                                                                                                                                                                                                                                                                                            B) The magnetic field outside the conductor varies logarithmically with distance from the center of the wire.

Assuming that the internal magnetic field intensity is given as -1 Tesla for r < a, we can use Ampere's law to calculate the current flowing through the wire.

(a) The magnetic field inside the conductor can be written as:

B = μ0I/2πr

where μ0 is the permeability of free space, I is the current flowing through the wire, and r is the distance from the center of the wire. Since the magnetic field intensity is given as -1 Tesla for r < a, we can write:

-1 = μ0I/2πa

Solving for I, we get:

I = -2πa/μ0

Substituting the value of μ0 = 4π × 10^-7 T m/A, and the given value of a = 2 cm = 0.02 m, we get:

I = -8π/10^-7 A ≈ -25.13 A

Therefore, the total current flowing through the wire is approximately 25.13 A.

(b) For r > a, the magnetic field outside the conductor can be calculated using Ampere's law as:

B = μ0I/2πr

where I is the total current flowing through the wire. Substituting the value of I calculated above, we get:

B = (-μ0/2πa)ln(r/b)

where b is the radius of the conductor. For r > a, we have ln(r/b) > 0, which means that the magnetic field outside the conductor is positive. Therefore, the magnetic field for r > a is:

B = (-μ0/2πa)ln(r/b)

Substituting the given value of b = 2 cm = 0.02 m, we get:

B = (-4π × 10^-7 T m/A)/(2π × 0.02 m) ln(r/0.02 m)

Simplifying, we get:

B = (-2 × 10^-6 T/m)ln(r/0.02 m)

Therefore, the magnetic field outside the conductor varies logarithmically with distance from the center of the wire.

Click the below link, to learn more about magnetic field intensity:

https://brainly.com/question/15260004

#SPJ11

To find the equation of a parabola given the focus and directrix:

1. Find the vertex using the midpoint between the focus and the directrix.

2. Determine the distance between the vertex and the focus (p).

3. Write the equation of the parabola based on the orientation (upward/downward or left/right) using the vertex and the value of p.

To find the equation of a parabola, we need to identify the vertex, the distance from the vertex to the focus (p), and the orientation of the parabola. The focus and directrix provide us with the necessary information. First, we find the vertex by finding the midpoint between the focus and the directrix. The vertex is equidistant from the focus and the directrix. Next, we determine the distance between the vertex and the focus, which is denoted as p. This distance is the focal length of the parabola. Finally, based on the orientation of the parabola (upward/downward or left/right), we can write the equation of the parabola using the vertex and the value of p. By following these steps, we can find the concise equation of the parabola given the focus and directrix.

learn more about parabolas here:
https://brainly.com/question/11911877

#SPJ11

Answer:

-16.12

Step-by-step explanation:

Move the -3.1 to the other side so the variable s is isolated. Then on the right side, you will have -19.22 + 3.1. That equals -16.12. That is your answer.

Hope this helped! Please mark me as brainliest!

The angle B in the triangle is 67.5 degrees.

The sum of angles in a triangle is 180 degrees. A triangle is a polygon that three sides.

Therefore, let's find the angle B in the triangle as follows:

Hence, let's find x

2x + 3x + 3x  = 180

8x = 180

divide both sides of the equation by 8

x = 180 / 8

x = 22.5

Therefore,

angle B = 3(22.5)

angle B = 67.5 degrees.

learn more on triangle here: brainly.com/question/29984805

#SPJ1

Answer:

$6.00

$24.00

$112.00

$625.00

Step-by-step explanation:

All you have to do is multiply each number by .05

For a second order differential equation t²y'' - 4ty' + 6y = 0, general solution is of the form y(t) = c₁t² + c₂t³, so another solution other than y₁(t) = t² is y₂(t) = t³.

Given solution to t²y'' - 4ty' + 6y = 0 is

y₁(t) = t²

Using the method of reduction of order, let us assume, y₂(t) = v(t)y₁(t) is a solution to t²y'' - 4ty' + 6y = 0 for suitable choice of v(t). So,

y₂ = vt²

y₂' = 2vt + t²v'

y₂'' = 2v + 2tv' + 2tv' + t²v''

y₂'' = 2v + 4tv' + t²v''

Substituting this

t²×( 2v + 4tv' + t²v'') - 4t×(2vt + t²v') + 6×(vt²) = 0

t⁴v'' = 0

v'' = 0

v' = c, c is a constant

v = ct

Therefore, y₂(t) = ct×t²

y₂ (t) = ct³

Therefore general solution will be y(t) = c₁t² + c₂t³

To know more on second order differential equation

https://brainly.com/question/15520567

#SPJ4

Answer: \(\sqrt{10\\\)

Step-by-step explanation:

To solve for x you would have to take the square root of both side.

Answer:

Step-by-step explanation:

In algebra, the goal is to isolate the variable, so its value can be determined.

x^2 = 10

square root both sides