when is it necessary and appropriate to conduct an anova test? what conditions need to be present? you should use and define the terms levels (treatments), factors, and observations (replicates) in your discussion.

The length of the line segment GD is 10.5

To get the length of the line segment GD, we will use similarity theorems of triangles to have:

ED/FD = GD/DH

Substitute the given sides to have:

6+GD/(8+14) = GD/14

6+GD/22 = GD/14

Cross multiply

22GD = 14(6+GD)

22GD = 84 + 14GD

22GD - 14GD = 84

8GD = 84

GD = 84/8

GD = 10.5

Hence the length of the line segment GD is 10.5

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For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

The "Rule of 72" is a quick estimation method to determine the time it takes for an investment or savings to double in value. By dividing 72 by the interest rate, you can obtain an approximation of the doubling time. For an interest rate of 3%, it would take approximately 24 years for the savings to double. For an interest rate of 8%, it would take around 9 years for the savings to double.

To calculate the doubling time using the Rule of 72, divide 72 by the interest rate. This provides an approximation of the number of years it takes for an investment or savings to double in value.

For an interest rate of 3%, we divide 72 by 3: 72 / 3 = 24. Therefore, it would take approximately 24 years for the savings to double.

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

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Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Answer:

\(\sf y = \dfrac{5}{2}x +\dfrac{17}{2}\)

Step-by-step explanation:

 \(\sf y =\dfrac{5}{2}x+1\)

  m= 5/2

Parallel lines have same slope.

      Slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept

\(\sf y = \dfrac{5}{2}x + b\)

Point (-3,1) passes through the required line. Substitute (-3,1) in the above equation and find 'b'.

        \(\sf 1 = \dfrac{5}{2}*(-3)+b\\\\1 =\dfrac{-15}{2}+b\\\\\)

 \(\sf 1 +\dfrac{15}{2}=b\\\\\dfrac{2+15}{2}=b\\\\\\ \boxed{b= \dfrac{17}{2}}\)

  \(\sf \bf y = \dfrac{5}{2}x+\dfrac{17}{2}\)

The composition of functions that achieve the desired result is given as follows:

d. f(x) = 1/x and g(x) = x² - 6.

The composite function of f(x) and g(x) is given by the rule presented as follows:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

For item d, the functions are given as follows:

Applying the composite function, we have that h(x) (f(g(x)) = f(x² - 6), hence the lone instance of x in f(x) is replaced by x² - 6, as follows:

h(x) = 1/(x² - 6).

Meaning that it is the correct option.

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Answer:

tally 4 which has 19 points

Step-by-step explanation:

22+19=41

41/2 = 20.5, divided by two because the team is involved in only two game tournament

this is the least she should have in average to win the MVP award.

since more then 20 means not including 20 but more than of it.

Answer:

option 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \(\frac{0-(-2)}{4-0}\) = \(\frac{0+2}{4}\) = \(\frac{2}{4}\) = \(\frac{1}{2}\)

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = \(\frac{1}{2}\) x - 2 ← equation of line

Answer:

The combined volume of 9cm, 7cm, and 6cm is 378cm³ if a rectangular prism or cube

Step-by-step explanation:

To find the volume of a 3-dimensional prism or cube you need to find the Area of the Base and Height and multiply them.
Equation = Bh
Since there are only 3 different numbers you just need to multiply them together.

I hope this was helpful!

Answer:

43.8

When you round look at the number after the one your rounding up to. If its greater than 5 round up. If its lower than 5 keep it the same number

Answer:

m=96

Step-by-step explanation:

\(\frac{15}{8}m-11=\frac{7}{4}m+1\\\\\frac{15}{8}m -\frac{7*2}{4*2}m=1+11\\\\\frac{15-14}{8}m=12\\\\\frac{1}{8}m=12\\\\m=12*8\\\\m=96\)

(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.

A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.

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Answer:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps.

Answer:

Step-by-step explanation:

The next term of a Fibonacci sequence is generated by taking the sum of the 2 preceding value of the sequence. Given the the first and third term of a Fibonacci sequence to be x and y

x, _, y...

let the second term be a, fourth term be b and fifth term be c to have the sequence;

x, a, y, b, c...

According to the definition;

x+a = y... 1

a+y = b... 2 and;

y+b = c... 3

From equation 1, a = y-x

Substituting a = y-x into equation 2 to get b we have;

(y-x)+y = b

2y-x = b

b = 2y-x

Substituting b = 2y-x into equation 3 to get 'c'

y +  2y-x = c

3y-x = c

c = 3y-x

The second term of the sequence is y-x

The fourth term of the sequence is 2y-x

The fifth term of the sequence is 3y-x

4/5% of 192 is approximately 1.536. The best estimate among the given answer choices is A. 2, which is the closest whole number to the actual value.

To find 37% of 293, we can start by using a proportion. We can set up the proportion as follows:

37/100 = x/293

To solve for x, we can cross-multiply and simplify:

37 x 293 = 100 x

x = 10841/100 ≈ 108.41

So, 37% of 293 is approximately 108.41. The best estimate among the given answer choices is B. 120, which is close to the actual value but slightly overestimated.

To find 4/5% of 192, we can first convert 4/5% to a decimal by dividing by 100:

4/5% = 4/5 ÷ 100 = 0.008

We can then multiply 0.008 by 192 to get the answer:

0.008 x 192 = 1.536

So, 4/5% of 192 is approximately 1.536. The best estimate among the given answer choices is A. 2, which is the closest whole number to the actual value. The other answer choices are too high and would overestimate the value.

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The price of an adult ticket is $20

The price of a child's ticket is $19

Let x represent the price of a child ticket

Let y represent the price of an adult ticket

Three adults and four children must pay 136

3y + 4x= 136.........equation 1

Two adults and three children must pay $97

2y + 3x= 97.........equation 2

From equation13 1

3y+4x= 136

3y= 136-4x

y= 136-4x/3

Substitute 136-4x/3 for y in equation 2

2(136-4x) + 3x= 97

272-8x/3 + 3x/1= 97

272-8x+9x/3= 97

cross multiply

272-8x+9x=291

collect the like terms

-8x+9x= 291-272

x= 19

Substitute 19 for x in equation 1

3y+4x= 136

3y + 4(19)= 136

3y+ 76= 136

3y= 136-76

3y=60

y= 60/3

y= 20

Hence children tickets cost $19 and adult tickets cost $20

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I HOPE IT WILL HELP YOU. I DID HOW I KNOW .

Using Venn probabilities, it is found that 240 students are enrolled in both classes.

The events are:

The supposed percentages, which also represents the probabilities involving a single student, are:

The percentage involved in both is:

\(P(A \cap B) = P(A) + P(B) - P(A \cup B)\)

Hence:

\(P(A \cap B) = 0.5 + 0.4 - 0.7 = 0.2\)

Then, out of 1200 students:

\(0.2(1200) = 240\)

240 students are enrolled in both classes.

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Answer:

m∠ ACB = 60°

Step-by-step explanation:

If AB║CD  if m∠

Answer:

dts on sundar

Step-by-step explanation:

Answer:

y = 35x - 517.

Step-by-step explanation:

y=35x−7

This line has a slope of 35so we can write a line parallel to it as

y - y1 = 35(x - x1) where (x1, y1) is a point on the line.

We are given this point (15, 8), so:

y - 8 = 35(x - 15)

y = 35x - 525 + 8

y = 35x - 517  is the required equation.

Seema left 6/11 of the book for reading over the weekend.

To calculate the part of the book left for reading during the weekend, we need to subtract the part of the book Seema read during the weekday from the total book.

If Seema reads 5/11 of the book during the weekday, then:

This means 6/11 of the book is left for reading during the weekend. It is important to note that the fraction of the book read during the weekday and the fraction left for reading during the weekend add up to the total book. This means that 11/11 of the book will be read by Seema in total.

This question should be written as:

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Answer:

Answer: Option 4
The only one where m∠C = m∠D

Step-by-step explanation:

If you rotate the triangle on the right enough to align them then you will see that with the given information the third choice is the correct one.

Even without that process if m∠A = m∠E and m∠B = m∠F then for the two triangles to be similar, ∠C, the remaining angle of ABC and ∠D the remaining angle of DEF must be equal

So ∠C = ∠D is a must for the two triangles to be similar

Only the fourth option has this as one of the entries

The corresponding sides and angles are m∠C = m∠D

Similar figures are zoomed in or zoomed-out (or just no zoom) version of each other. They are scaled versions of each other, and by scale, we mean that each of their dimension(like height, width, etc linear quantities) are constant multiple of their similar figure.

Even without that process if m∠A = m∠E and m∠B = m∠F then for the two triangles to be similar, ∠C, the remaining angle of ABC,

Also, ∠D the remaining angle of DEF must be equal

Therefore, ∠C = ∠D is a must for the two triangles to be similar

Hence,  m∠C = m∠D

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Answer:

0.3333333333333333....

1/3 of the pizza is left. 1/3 of the 1/3 was eaten

so

1/3 × 1/3 = 1/9

same ate 1/9 of the pizza

Answer: THE FIRT ANSWER IS (C) AND THE SECOND ANSWER IS (A)

Step-by-step explanation:LEMME GET BRAINLIEST PLS AND THANK YOU

Answer:

number 2 is C

Number 3 is A

Step-by-step explanation:

hope this helps

Answer:3x^2+2x

Step-by-step explanation

Answer:

\(Z=-1.2\)

Step-by-step explanation:

From the question we are told that:

Normal distribution \(x=35\)

Mean of normal distribution \(\=x=65\)

Standard normal distribution deviation \(\sigma= 25\)

Generally the equation for standardized value is mathematically given by

 \(Z=\frac{x-\=x}{\sigma}\)

 \(Z=\frac{35-65}{25}\)

 \(Z=\frac{35-65}{25}\)

 \(Z=-1.2\)

Therefore the standardized value of x is

 \(Z=-1.2\)

Answer:

This answer is A

A. X= -1

Step-by-step explanation:

-1 is equal to-1