1. What is the Mean Treatments?
2. What is the Mean Square Treatments?
3. What is the Mean Squared Error?
4. What is the F-Test Value? Based on our F-Test Value, should
we reject the Null Hypothesis (

Answer:

  ⊥ to AB : x +y = 6

  ⊥ to AC : x -3y = 0

  ⊥ to BC : x +3y = 9

  see the attachment for a graph

Step-by-step explanation:

You want the equations and graphs of the perpendicular bisectors of AB, BC, and AC where the points are A(1, 2), B(4, 5), and C(2, -1). You want to relate this to finding the center of a circle through three non-collinear points.

The perpendicular bisector of a segment PQ with P(x1, y1) and Q(x2, y2) can be written as ...

  (x2-x1)(x -(x1+x2)/2) +(y2-y1)(y -(y1+y2)/2) = 0

Applying this to the given segments, we have ...

  ⊥ to AB : (4 -1)(x -(4+1)/2) +(5 -2)(y -(5+2)/2) = 0   ⇒   x +y = 6

  ⊥ to AC : (2 -1)(x -(2+1)/2) +(-1 -2)(y -(-1+2)/2) = 0   ⇒   x -3y = 0

  ⊥ to BC : (2 -4)(x -(2+4)/2) +(-1 -5)(y -(-1+5)/2) = 0   ⇒   x +3y = 9

The attachment shows a graph of the lines and their single point of intersection.

Each perpendicular bisector is the locus of the centers of circles through the end points of the respective segments. Then the intersection of those bisectors is the center of a circle through all of the points.

Solving any pair of these equations simultaneously gives the circle center as (4.5, 1.5). This is point D on the graph.

The given points are non-collinear, and the intersection of the perpendicular bisectors is the center of a circle through them. The method described in this problem is a suitable method for finding the circle center. (If the three points are considered a triangle, this center is called the "circumcenter.")

__

Additional comment

We have written the equations for the lines in standard form, with a positive leading coefficient and mutually prime integers. You will notice the graphing program wrote the same equations for those lines.

Minimum SOP expression of the given Boolean function F(X, Y, Z) is given as XY' + Z' + YX + YX + Y + Z.

Minimum SOP expression for the function f(x, y, z)

The given Boolean expression of f(x, y, z) is

f(x, y, z) = xyz + xyz + xyz’

Using the Boolean property of the distributive law and combining the common term xyz, we get

f(x, y, z) = xyz + xyz + xyz’= xyz + xyz’= xz(y + y’)

= xz·1

= xz

Minimum SOP expression of the given Boolean function f(x, y, z) is xz.

Minimum SOP expression for the function F(X, Y, Z)

The given Boolean expression of F(X, Y, Z) is

F(X, Y, Z) = (X + Y') Z + (XZ) + Y

Using the Boolean property of the distributive law and combining the common term XZ, we get

F(X, Y, Z) = (X + Y') Z + (XZ) + Y= XZ + YZ' + XYZ' + XY + Y

= XY'Z' + XYZ' + XY + Y+ XZ (since Y + Y’ = 1)

Again using the Boolean property of the distributive law, we get

F(X, Y, Z) = XY'Z' + XYZ' + XY + Y + XZ= XY'Z' + XYZ' + XZ + XY + Y

The Boolean expression obtained is a Sum of Products (SOP).

Minimum SOP expression of the given Boolean function F(X, Y, Z) is given as XY' + Z' + YX + YX + Y + Z.

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Answer: its (4f 5) ^3

Step-by-step explanation:

Answer:

Hello! answer: e = 103 f = 77

and I don't really know what d is sorry! but If I had to guess id say 90

More information is needed to draw a conclusion on the difference between the average number of ant species.

To draw a conclusion on the difference between the average number of ant species in the two regions, we need additional information. The botanists have collected data on the number of ant species attracted to sites in region A (1) and region B (2).

However, we require the calculated means and standard deviations for each sample to proceed with statistical analysis. With these values, we can perform a hypothesis test, such as an independent samples t-test, to determine if there is evidence to conclude that a difference exists between the average number of ant species in the two regions. Without the means and standard deviations, it is not possible to make a definitive conclusion.

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Based on the given information, the botanists placed seed baits at 5 sites in region A and 6 sites in region B, and observed the number of ant species attracted to each site. They calculated the mean and standard deviation for the number of ant species attracted to each site in the samples. We can determine if there is evidence to conclude that a difference exists between the average number of ant species in the two regions by performing a t-test.

To conduct a t-test, we compare the means of the two samples and take into account the standard deviations. The null hypothesis (H0) states that there is no difference between the average number of ant species in the two regions, while the alternative hypothesis (Ha) states that there is a difference.

The t-test will calculate a t-value, which we can compare to a critical value from the t-distribution table. If the t-value is greater than the critical value, we reject the null hypothesis and conclude that there is evidence of a difference between the average number of ant species in the two regions.

To draw the appropriate conclusion, we need the calculated t-value and the critical value for the desired level of significance (usually 0.05 or 0.01). Without these values, we cannot provide a specific conclusion. However, if the calculated t-value is greater than the critical value, we can conclude that there is evidence of a difference between the average number of ant species in the two regions.

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Answer:

$769.38

Step-by-step explanation:

First, find the cost with the 30% off original price:

1249(0.7)

= 874.3

Now, find the cost with the 12% discount off sale price:

874.3(0.88)

= 769.38

So, Mr Hanson would pay $769.38 before tax

Answer:

$769.38

Step-by-step explanation:

Original price: $1249

100% - 30% = 70%

A 30% discount means that you pay 70% of the amount.

Apply a 30% discount: 0.70 * $1249 = $874.30

100% - 12% = 88%

A 12% discount means that you pay 88% of the amount.

Apply a 12% discount: 0.88 * $874.30 = $769.384

Answer: $769.38

Answer:

x = 2

Step-by-step explanation:

3x+4y=36

Y=-1/2+8

Now we substitute y with -1/2+8.

3x + 4(-1/2+8) = 36

3x + 4(7.5) = 36

3x + 30 = 36

3x = 6

x = 2

Have an amazing day!!

Please rate and mark brainliest!

Answer:

Step-by-step explanation:

Given

Solving in steps

The student's mistake was adding (-0.72) instead of - (-0.72) or 0.72

Answer:

To solve, you must use the inverse operation. In step 1, -0.72 should have been subtracted from both sides, not added. Otherwise, 0.72 should have been added to both sides, not -0.72.

Step-by-step explanation:

"a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years.

The 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].According to the central limit theorem , a sampling distribution of the means is usually distributed in a normal distribution, given a big enough sample size, which means that it has a bell-shaped curve. It has a standard deviation that can be estimated by dividing the population standard deviation by the square root of the sample size. Using the formula below,

we can calculate the 95% confidence interval for the population average.= 13.8 ± (1.96 × 7.3 / √45)

= 13.8 ± (1.96 × 1.088)

= 13.8 ± 2.13The limits are calculated by adding and subtracting the calculated value from the sample mean.13.8 + 2.13

= 15.9313.8 - 2.13

= 11.67Therefore, the 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].

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In order to rewrite these values in the standard form, let's calculate the product with the power of 10 from each number.

For the length, we have:

For the thickness, we have:

An arrangement of letters such that the uniform substitution of words or phrases in the place of letters results in an argument is called a cryptogram, An arrangement of letters such that the uniform substitution of words or phrases in the place of letters results in an argument is called a "propositional form" or "logical form."

What is the difference between phrase and word? Word is a synonym of a phrase. Word is a conjunction of a phrase. is that phrase to express (an action, thought, or idea) by means of words while word is to ply or overpower with words?

Students often make the mistake of using synonyms of “and” each time they want to add further information in support of a point they’re making or to build an argument. Here are some cleverer ways of doing this.

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Surface area of a square pyramid:

To find the surface area of the given pyramid as you don't have the length of the slant height, use the height of the pyramid and the radius of the base to form a right triangle and find the slant height:

Pythagorean theorem for the right triangle above:

Perimeter of the base is:

Area of the square base:

Then, the surface area of the given pyramid is

Answer:

The answer would be D

Step-by-step explanation:

To find how many Katie has, you would have to double it ( times by 2 ). Then subtract 3, since Alejandro has three less than twice as many as Katie.

Answer:

the answer is d just did the test got it right

Step-by-step explanation:

from S^OH

sinθ=opp/hyp

sin38°=x/4

x=4sin38°

x=4×(0.61566147533)

x=(2.4626459013)

to 1dp

x=2.5cm

The true statements are as follows: If Ax = λx for some vector x, then λ is an eigenvalue of A. This is the definition of an eigenvalue and eigenvector relationship.

A number c is an eigenvalue of A if and only if the equation (A-cI)x = 0 has a nontrivial solution x. This is equivalent to saying that c is an eigenvalue if and only if (A-cI) is singular, meaning it has a nontrivial null space.

Finding an eigenvector of A might be difficult, but checking whether a given vector is an eigenvector is easy. This is because to check if a vector is an eigenvector, we simply need to verify if Ax = λx holds, which involves straightforward matrix-vector multiplication.

To find the eigenvalues of a matrix A, reducing A to echelon form is not a direct method. The eigenvalues of a matrix are determined by solving the characteristic equation det(A - λI) = 0, where I is the identity matrix. The characteristic equation gives a polynomial equation in λ, and the solutions to this equation are the eigenvalues of A.

Lastly, it is incorrect to state that a matrix A is not invertible if and only if 0 is an eigenvalue of A. While it is true that an invertible matrix does not have 0 as an eigenvalue, the converse is not always true. There are non-invertible matrices that also have 0 as an eigenvalue. Invertibility is determined by the rank of the matrix, not solely by the presence of 0 as an eigenvalue.

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Answer:

yes he is correct because if you where to graph B it would have a greater slope

Step-by-step explanation:

Therefore, the rms voltage at which the resistor will dissipate 12.0 W is 24.97 V. It's important to note that this value is the rms voltage, which represents the effective or equivalent voltage of an AC signal.

To solve this problem, we can use the formula for power dissipated by a resistor: P = V^2/R, where P is the power, V is the voltage, and R is the resistance. We are given P = 1.90 W and V = 11.0 V, so we can solve for R: R = V^2/P = (11.0 V)^2/1.90 W = 64.74 ohms.
To find the voltage at which the resistor dissipates 12.0 W, we can rearrange the formula to solve for V: V = sqrt(P*R). Plugging in P = 12.0 W and R = 64.74 ohms, we get V = sqrt(12.0 W * 64.74 ohms) = 24.97 V (rounded to three significant figures).
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Answer:

16 degrees

Step-by-step explanation:

Complementary angles = 90 degrees

If the measure of one angle is 74 degrees, that means that the measure of the other angle that is complementary to it is 16 degrees.

74 + x = 90

x = 16

Answer:

0.7

Step-by-step explanation:

This question tests on the concept of slope or gradient of a line.

We know that the equation, m, for a slope =

\( \frac{y2 - y1}{x2 - x1} \)

We can identify 2 points from the question as (x1, y1) and (x2, y2) to solve for the gradient, and therefore they are:

(x1,y1) as (-3,-7.5)

(x2,y2) as (2,-4)

Now we can substitute these values in to solve for the slope.

\( \frac{ - 4 - ( - \frac{7}{2})}{2-(-3)} \\ = \frac{ - 4 + frac{7}{2}}{5} \\ = \frac{-0.5}{5} \\ = - \frac{1}{ 10} \\ = -0.1\)

Answer: Largest exterior angle is 85.44 degrees

===========================================================

Explanation

Rule: The exterior angles of any polygon always add to 360 degrees

Based on that rule, we simply add up the 8 expressions given to us and set that sum equal to 360. Then we solve for x

(x+12)+(2x-3)+(3x+10)+(3x+15)+(2x-19)+(4x-1)+(4x-10)+(6x) = 360

(x+2x+3x+3x+2x+4x+4x+6x)+(12-3+10+15-19-1-10) = 360

25x+4 = 360

25x = 360-4

25x = 356

x = 356/25

x = 14.24

-------------------------------------

Once you determine the value of x, you plug that into each of the 8 exterior angle expressions

In short we have these 8 exterior angles

We see that 85.44 degrees is the largest exterior angle (which is the angle that corresponds to the 6x). This makes sense because the 6 is the largest x coefficient compared to something like 2x-3 or 3x+10 which have x coefficients of 2 and 3 respectively.

The coordinate notation for a translation of 7 units right and 4 units  are:

Q: (5,-2)

R: (4,-8)

A: (8,-6)

To perform a translation of 7 units right and 4 units down on Triangle QRS, we add 7 to the x-coordinates and subtract 4 from the y-coordinates of each vertex. The coordinate notation for the translated triangle, denoted as Q'R'S', is:

Q': (−2 + 7, 2 - 4) = (5, -2)

R': (−3 + 7, −4 - 4) = (4, -8)

S': (1 + 7, −2 - 4) = (8, -6)

So, the coordinate notation for the translated triangle Q'R'S' is Q'(5, -2), R'(4, -8), and S'(8, -6).

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The factor and levels in the scenario is,

Factor = dip flavor. Levels = strawberry, orange, and banana.

What is popsicles?

A frozen treat on a stick made of liquid is known as an ice pop. An ice pop is "quiescently" frozen, or frozen when at rest, and turns into a solid block of ice, unlike ice cream or sorbet, which are churned while freezing to prevent ice crystal formation. It is held by the stick, which serves as a handle.

There is only one factor (independent variable) involved in above case, i.e. dip flavor is only factor mentioned in given case.

We can see that dip flavor has three categories or levels, i.e. strawberry, orange, and banana

Therefore, we have

factor = dip flavor and levels = strawberry, orange, and banana.

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The price of the bond is approximately $721.92.

A bond is a debt security that an investor lends to an entity in exchange for interest payments and the return of the principal at the end of the bond term. The price of a bond can be calculated using the following formula:

Bond price = [C / (1 + r)^n] + [F / (1 + r)^n]

Where:

F = face value of the bond

C = coupon rate

n = number of years remaining until maturity

r = yield to maturity (YTM)

Given data:

Face value (F) = $1,000

Coupon rate (C) = 6% semi-annually

Years to maturity (n) = 11

Yield to maturity (YTM) = 8%

To calculate the bond price, we need to use semi-annual coupons since the coupon is paid twice a year. We adjust the coupon rate, years to maturity, and yield to maturity accordingly.

Coupon rate (C) = 6% / 2 = 3% per half year

n = 11 × 2 = 22

r = 8% / 2 = 4% per half year

Plugging the given values into the formula:

Bond price = [30 / (1 + 0.04)^11] + [1000 / (1 + 0.04)^22]

≈ $721.92

Therefore, The bond costs around $721.92.

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The derivative  of y with respect to x is -2.

To find \(\frac{dy}{dx}\), we first need to express y and x in terms of a common variable, which we choose to be t.

Given x = t^2, we can differentiate both sides with respect to t using the chain rule to obtain:

\(\frac{dx}{dt}\) = 2t

Solving for t, we get:

t = (1/2) \(\frac{dx}{dt}\)

Substituting this value of t into the equation y = 8 - 2t, we get:

y = 8 - 2((1/2) \(\frac{dx}{dt}\))

Simplifying, we get:

y = 8 -\(\frac{dx}{dt}\)

Differentiating both sides with respect to x using the chain rule, we get:

\(\frac{dy}{dx}\) = d/dx(8 - \(\frac{dx}{dt}\))

Using the chain rule again, we have:

\(\frac{dy}{dx}\) = -    \(\frac{d(dx/dx)/dt }\)

Since \(\frac{dx}{dt}\) = 2t, we can substitute this to obtain:

\(\frac{dy}{dx}\) = -\(\frac{d2t}{dt}\)

Taking the derivative of 2t with respect to t, we get:

\(\frac{dy}{dx}\) = -2

Therefore, the derivative of y with respect to x is -2.

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[] 10x + 4

(5x) + (2x + 5) + (3x - 1)

5x + 2x + 3x + 5 - 1

10x + 4

[] 4x + 4

Bottom: (1/2) * (3x -1) = 1/2x - 1/2

Left side: (1/2) * (5x) = 5/2x

Right side: (1/2) * (2x+5) = x + 5/2

\/

Add them together:

(x + 5/2) + (5/2x) + (1/2x - 1/2)

x + 5/2x + 1/2x + 5/2 - 1/2

4x + 4

[] The Triangle Midsegment Theorem (midsegment = 1/2 times triangle base) and then calculated by adding the three midsegments together.

     Hope this helps and is correct, have a nice day! :D

check attached file for a diagram I made

     Note: I realized after it was made I did the midsegment wrong so ignore that part! It should be a triangle with the three points in the middle of the sides.

Answer:

-1250/1 or -1250

This tells us that the car depreciated in value by $1250 every year.

Step-by-step explanation:

11,095-13,595= -2500

This is the value that the car has depreciated over 2 years (from the first year to the third year)

Since we need to find the slope we divide this value by two.

That value would be -1250

Since the value is negative, we know the car has depreciated in value. We also now know that it depreciated in value by $1250 every year

Hope this helps!