In an analysis of variance where the total sample size for the experiment is and the number of populations is k, the mean square due to error is SSE/(k-1). The answer is c. SSE/(k-1).
In an analysis of variance (ANOVA), the total sum of squares (SST) is partitioned into two parts: the sum of squares due to treatment (SSTR) and the sum of squares due to error (SSE). The degrees of freedom associated with SSTR is k-1, where k is the number of populations or groups being compared, and the degrees of freedom associated with SSE is nT-k, where nT is the total sample size. The mean square due to error (MSE) is defined as SSE/(nT-k). The MSE is used to estimate the variance of the population from which the samples were drawn. Since the total variation in the data is partitioned into variation due to treatment and variation due to error, the MSE provides a measure of the variation in the data that is not explained by the treatment. Therefore, the MSE is a measure of the variability of the data within each treatment group.
Use induction to prove that if a graph G is connected with no cycles, and G has n vertices, then G has n 1 edges. Hint: use induction on the number of vertices in G. Carefully state your base case and your inductive assumption. Theorem 1 (a) and (d) may be helpful.Let T be a connected graph. Then the following statements are equivalent:
(a) T has no circuits.
(b) Let a be any vertex in T. Then for any other vertex x in T, there is a unique path
P, between a and x.
(c) There is a unique path between any pair of distinct vertices x, y in T.
(d) T is minimally connected, in the sense that the removal of any edge of T will disconnect T.
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What is the domain of the following set of ordered pairs?
{(-2,-5), (-3,8), (12,6), (8, -3), (4,0), (-5, -7)}
○ a. {-5, 8, 6, -3, 0, -7}
O b. {-2, -5, -3, 8, 12, 6}
○ c. {8, −3, 4, 0, − 5, −7}
O d. {-2, -3, 12, 8, 4, −5}
Answer:
D. {-2, -3, 12, 8, 4, −5}
Step-by-step explanation:
The domain is the set of x coordinates, so the answer is {-2, -3, 12, 8, 4, −5}.
can a pyramid be constructed from polygons alone
Darlene says that 1/4 is greater than 1/3 because 4 is great than 3. is she correct?
No she is not correct 1/3 is great that 1/4
Answer:
No, she isn't correct because if the numerator are same but if denominators is different,then the fraction with smaller denominator is greater.
Can someone help me with this question?
Step-by-step explanation:
Find lower quartile first: 1/4 (61)th term which equals to 15.25th term. Use your graph to estimate where 15.25 is and draw a line till it meets tne curve. As soon as it touch the curve, continue the line downward and you'll get LQ in kg. Secondly, find upper quartile: 3/4(61)th term which equals to 45.75th term. Proceed the same thing I mentioned above for lower quartile. Then the formula for interquartile range is upper quartile minus lower quartile and you'll get the answer in kg.
Write the algebraic expression for: the sum of a number and 5 decreased by twice the number.
The algebraic expression for: the sum of a number and 5 decreased by twice the number is (n + 5) - 2n
Algebralet
The unknown number = nsum of a number and 5
= n + 5
decreased by twice the number
= -2(n)
= - 2n
sum of a number and 5 decreased by twice the number
= (n + 5) - 2n
= n + 5 - 2n
= 5 - n
Therefore, the algebraic expression which can be used to represent; the sum of a number and 5 decreased by twice the number is (n + 5) - 2n
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(d) Percentage of viewers given they are 18 to 34 who prefer videos on a mobile or laptop device. (Round your answer to 2 decimal places.)\
52.94% of the viewers prefer videos on a mobile or laptop device
How to determine the percentage?The given parameters are
Viewers that prefer videos on a mobile or laptop device = 18
Total number of viewers = 34
The percentage of voters in this category is then calculated as
Percentage = 18/34 * 100%
Evaluate the expression
Percentage = 52.94%
Hence, 52.94% of the viewers prefer videos on a mobile or laptop device
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A relationship between two variables in which the variables vary in the opposite direction (i.e., one increases while the other decreases, or vice versa) is referred to as a:
A relationship between two variables in which the variables vary in the opposite direction (i.e., one increases while the other decreases, or vice versa) is referred to as a negative correlation.
What is negative correlation?When two variables move in opposite sizes and directions from one another, so that when one increases, the other drops, and vice versa, this is referred to as having a negative correlation or inverse correlation.
In order for investors to profit from price increases in some assets when others decline, negative correlation is used when building diverse portfolios.
Over time, the correlation between two variables might change significantly. Bonds and stocks typically have negative correlation.
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PLEASE HELP ME THIS IS MY LAST DAY TO GET THIS DONE!!!!! ILL MARK BRAINLY
The expression that is not a rational expression is:
[tex]\frac{(x + 3)(2x - 1)}{x + 3}[/tex]
What is a rational expression?A rational expression is an expression that has a variable in the denominator.
For expression [tex]\frac{(x + 3)(2x - 1)}{x + 3}[/tex], x + 3 is a common term to the numerator and denominator, hence it is simplified to 2x - 1 and is not a rational expression.
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The option that is not a rational expression is [tex]\frac{3x + 4\sqrt{x} -7}{2x+2}[/tex]
How to find rational expression?Rational expression are fraction whose numerator and denominator are polynomials.
In other words, rational expression is the ratio of two polynomials.
Therefore, an example of a ration expression is as follows:
[tex]\frac{x^{2}+9 }{x + 1}[/tex]
Therefore, the option that is not a rational expression is as follows;
[tex]\frac{3x + 4\sqrt{x} -7}{2x+2}[/tex]
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The mean of one set of five numbers is 13, and the mean of a separate set of six numbers is 24. What is the mean of the set of all eleven numbers
Answer:
((24+13)/28.5
Step-by-step explanation:
Find the volume of the pyramid. Round to the nearest tenth if necessary.
Answer:
53.7
Step-by-step explanation:
The area of the rectangular base is 7(2.3)=16.1.
So, the total volume is (1/3)(16.1)(10), which is about 53.7
Determine whether the point (1,5) is a solution to the system of equations g(x)=3x+2 f(x)=|x-1|+1
Point [tex](1,5)[/tex] is a solution of the equation [tex]g(x)=3x+2[/tex] and point [tex](1,5)[/tex] is not a solution of equation [tex]f(x)=|x-1|+1[/tex]
Why point [tex](1,5)[/tex] is solution of the equation [tex]g(x)=3x+2[/tex] ?
If point [tex](1,5)[/tex] is solution of the equation then they must satisfy the equation.
So we need to check one by one
[tex](x,y)=(1,5)[/tex]
equation [tex]g(x)=3x+2[/tex]
We can write as
[tex]y=3x+2\\5=3*1+2\\5=5[/tex]
So point [tex](1,5)[/tex] is solution of this equation.
Equation [tex]f(x)=|x-1|+1[/tex]
We can write as
[tex]y=|x-1|+1\\5=|1-1|+1\\5=0+1\\5\neq 1[/tex]
So point [tex](1,5)[/tex] is not solution of equation [tex]f(x)=|x-1|+1[/tex]
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Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make any payments
toward it. write the equation to represent the situation, and solve it using the inverse relationship between exponential
and logarithmic expressions.
type the correct response in the box. use numerals instead of words. round your answer to the nearest tenth.
Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which:
A(0) is the initial value.
r is the growth rate, as a decimal.
In this problem:
Her initial balance is of $300, hence . A(0)=300
The growth rate is of 15%, hence R =0.15
Then,
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\[/tex]
It will reach $450 after t years, for which A(t) = 450, hence:
[tex]A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9[/tex]
It will take about 2.9 years for Emma's balance to reach $450
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The two-way table represents data from a survey asking teachers whether they teach English, math, or both.
The joint relative frequency is 21%.
What is the joint relative frequency?Joint relative frequency can be described as the ratio of the frequency of data in a certain category to the total number of data points in that category.
The joint relative frequency for teachers who teach math and not English = number of teachers who teach maths and not English / total number of teachers
(22 / 104) x 100 = 21%
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Right angle triangle
8x - 21
3x-7
6x
Finds value of x
Step-by-step explanation:
Pythagoras :
c² = a² + b²
the only problem : we don't know which one of the 3 expressions is the longest side (= c = Hypotenuse).
let's try with 8x -21
(8x - 21)² = (3x - 7)² + (6x)²
64x² - 336x + 441 = 9x² - 42x + 49 + 36x²
19x² - 294x + 392 = 0
the general solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 19
b = -294
c = 392
x = (294 ± sqrt(86436 - 4×19×392))/(2×19) =
= (294 ± sqrt(56644))/38 =
= (294 ± 238)/38
x1 = (294 + 238)/38 = 532/38 = 14
x2 = (294 - 238)/38 = 56/38 = 28/19 = 1.473684211...
I assume, we are looking for a whole number solution.
so, x = 14 is the solution.
PLEASE HELP BEST ANSWER GETS BRIANLIST
Answer:
-3
Step-by-step explanation:
So just like the picture provides, the slope can be defined as: [tex]\frac{\text{change in y}}{\text{change in x}}[/tex]. So this means we can take any two points and find the change in x and y to define the slope, since the slope is constant throughout the entire line, since it's a linear line, meaning it's straight.
So you can use the points (0, 15) and (2, 9). So let's look at the x-values, and you want to make sure, you maintain the order at which you look at the "change in x", for example I can define the change in x through the two points as 0 to 2, or 2 to 0, one case is 2, and the other is -2, but if I look at the change from 0 to 2, then I looked at the first point first then the second, this means when looking at the y-values I have to find the change from 15 to 9, and not 9 to 15, since I did 0 to 2 in the first case. I could look at the change from 9 to 15, but only if I looked at the changed from 2 to 0.
Anyways let's find the change from 0 to 2, it's 2. Now let's look at the change from 15 to 9, it's -6 (since the value went down). So this gives us equation: -6 / 2 = -3
The slope is -3
Five chess players take part in a tournament. Every player plays once with each of his/her opponents. How many games are play?
There is a total of 10 games played.
How many games are played?
There are 5 players, If we select a given player, then that player will play one game with each of the other 4 players.
So we have 4 games at the moment.
Now we select one of the other 4 players, (we don't count the one we choose before). The one that we choose now will play one game wich each one of the remaining 3, so we add 3 more games.
Now we do the same with the remaining 3, this time we add 2 more games.
Now we do that with the remaining 2, now we add 1 more game.
Adding all the games we have:
4 + 3 + 2 + 1 = 10
There is a total of 10 games played.
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HELP?? A lunch combo has the following options: Entree: Hamburger, Hotdog, Chicken sandwich Side: Apples, Salad Drink: Milk, Water What is the sample size of these outcomes?
Using the Fundamental Counting Theorem, the sample size of these outcomes is of 12.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
Considering the number of options for Entree, Side and Drink, the parameters are:
n1 = 3, n2 = 2, n3 = 2.
Hence the sample size of outcomes is:
N = 3 x 2 x 2 = 12.
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What is the surface area of the figure below?
Round your answer to the nearest tenth square foot?
(The answer choices are in the picture. Thank you!)
Answer:
856.5ft^2
Step-by-step explanation:
I took the test.
Sun shades are sold in the shape of right isosceles triangles. if the equation represents one shade that shields 64 square feet of area, which system can be used to find the lengths of the legs of the sun shade?
The system of equations that can be used to find the lengths of the legs of the sun shade is given as follows:
y = 0.5x², y = 64.
How to obtain the system of equations?The system of equations is obtained considering the equation for the area of a right triangle, which is given by half the multiplication of the legs.
In this problem, we have an isosceles right triangle, meaning that both legs have the same measure.
The area of the right triangle is of 64 feet, hence the area is calculated as follows:
0.5x² = 64.
Thus the equations that compose the system are:
y = 0.5x².y = 64.Meaning that the second option is correct.
Missing InformationThe options are given by the image shown at the end of the answer.
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The angle formed by the line of sight and the horizontal line can best be described as a(n)
The angle formed by the line of sight and the horizontal line can best be described as an angle of elevation.
What is angle of elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
The angle of elevation is says to be the angle made between a horizontal plane and a straight line to a given object that is elevated off the ground.
Therefore, the angle formed by the line of sight and the horizontal line can best be described as an angle of elevation.
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Determine if the expression −7m³ + m + 9m³ is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial
1: "represents" a polynomial
2: "does NOT represent" a polynomial
⊰___________________ ___________________________________ __⊱
Answer:
Yes, it is a polynomial
Step-by-step explanation:
This polynomial is a trinomial, since it has 3 terms (the prefix tri means three) and its degree is 3 (the degree of a polynomial is the largest exponent in that particular polynomial).
Done !! Hope this made sense to you !!
⊰________________________________________________________⊱
[tex]\small{\pmb{\tt{CALLIGRAPHY}}[/tex]
A bag contains 1 white (W), 3 blue (B1, B2, B3), and 2 red (R1, R2) marbles. (4 points)
Use a tree diagram to list all the possible outcomes for tossing a coin and then drawing a marble from the bag. ( insert picture of it)
The possible outcomes are WH, BH, BH, BH, RH, RH, WL, BL, BL, BL, RL, RL
How to determine the possible outcomes?The given parameters are:
Coin = Head (H) and Tail (T)
Marble = W, B, B, B, R, R
See attachment for the tree diagram
From the tree diagram, we have the following possible outcomes
WH, BH, BH, BH, RH, RH, WL, BL, BL, BL, RL, RL
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Maggie has $9 less than does her brother Ron,
who has d dollars on Tuesday. If Ron gives
Maggie $6 on Wednesday, and she does not
spend any of her money, which of the following
is an expression for the amount of money, in
dollars, that Maggie has?
A) 2d + 6
B) 2d - 3
C) d + 15
D) d-3
The expression that shows the amount of money in dollars that Maggie has d - 3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let d represent the amount of money Ron has on Tuesday. Hence:
Money Maggie has = d - 9 + 6 = d - 3
The expression that shows the amount of money in dollars that Maggie has d - 3
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Find the number of units in the length of diagonal $DA$ of the regular hexagon shown. Express your answer in simplest radical form.
17.32 the number of units in the length of diagonal $DA$ of the regular hexagon.
How do you find the length of the diagonal of a regular hexagon?Six equilateral triangles can be formed from the hexagon. The equilateral triangle has an equal length on each side. The diagonal of the hexagon is formed by joining two of the sum of the lengths of the equilateral triangles. As a result, the hexagon's diagonal is twice as long as its sides.
For a polygon, the SUM of the internal angles is:
(n-2) * 180 (n=6 for hexagon)
(6-2)*180 = 720 Thus EACH angle is : 720/6 = 120 degrees
Therefore, the triangle's main angle is 120 degrees, and its other two angles are equal.
There are 180 degrees in any triangle:
(180-120) / 2 = 30 degrees for each of the smaller angles.
Now use the law of sines:
10/sin30 = x/(sin120)
10/(.5) × (sqrt3 )/ 2 = x
10 sqrt 3
10/sin30 × sin 120 = 17.32
17.32 is the number of units in the length of diagonal $DA$ of the regular hexagon.
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Your family is going on vacation for two nights. You don't want to spend more than $135 on a hotel room for your vacation. Write an inequality to represent how much you can spend each night on your hotel room.
Answer:
x ≤ 135/2
Step-by-step explanation:
x is the cost per night. You have to pay for 2 nights, and you do not want to spend more than $135 total. Another way to say that, is you want to spend less than or equal to $135.
x = cost per night
2 = number of nights
2x = total cost
Total cost must be less than or equal to $135.
2x ≤ 135
Divide each side by 2.
x ≤ 135/2
Write the slope-intercept form of the equation that passes through the point (4,-6) and is parallel to the line y = -3/4x - 5
The equation that runs through the location (4,-6) has the slope-intercept form, [tex]y=-\frac{3}{4}x-3[/tex] .
Formation of the equationA line's equation written in the slope-intercept form:
y=mx+b
where m= slope & b= y-intercept
The slope of two parallel lines is equal.
Currently, we know the line's equation:
[tex]y=-\frac{3}{4} x-5[/tex]
here, slope, m= [tex]-\frac{3}{4}[/tex]
A line equation is created by adding the slope's value and the point's coordinates (4, -6):
[tex]-6=-\frac{3}{4}(4)+b[/tex]
⇒ -6=-3 +b [adding 3 to both sides]
⇒-3=b
⇒b= -3
Hence the solution is [tex]y=-\frac{3}{4}x-3[/tex] .
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In ΔABC, BD is perpendicular to AC as shown in the figure.
Which equations are true?
Answer:
2nd, 3rd, and 6th option are correct
Step-by-step explanation:
using a²+b²=c² those are the obly that meet the criteria (im pretty sure)
In the given triangle equations AC² = AB² + BC², AB² = AD² + BD² and BC² = CD² + BD² are true.
What is a right angle triangle?
A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.
Given that,
ABC is a right angle triangle.
And BD is perpendicular to AC.
To show the equations which are true,
Use Pythagorean theorem,
(Hypotenuse)² = (base)² + (height)²
In triangle ABC,
AC² = AB² + BC²
In triangle ABD,
(AB)² = AD² + BD²
And in triangle BCD,
BC² = CD² + BD²
Therefore, option (2), (3) and (6) are correct.
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Which of the following best explains the value of Sine StartFraction pi Over 3 EndFraction on the unit circle below
The terms that explains the value of Sin(pi/3) on the unit circle would be Sin(pi/3) = Opposite side of angle.
According to the statement
we have to give the terms which explain the sin (pi/3) perfectly.
And we have choose these terms from the these below written conditions like From Right Triangle, Hypotenuse, and unit circle.
And Now we explain all terms below
So,
"Right Triangle is a triangle whose one of the angle measures 90° "
And "The hypotenuse is a longest side of the right triangle.
And"Unit Circle is a circle with radius 1."
For given question,
We have been given a unit circle.
So, We need to find the sin (pi/3)
We know, in a right triangle for any angle , θ
Sinθ = Opposite side of angle / Hypotenuse
So, for , Sin(pi/3) = Opposite side of angle / 1
Sin(pi/3) = Opposite side of angle
Therefore, The terms that explains the value of Sin(pi/3) on the unit circle would be Sin(pi/3) = Opposite side of angle.
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Solve the rational equation by multiplying both sides by the lcd. check your results for extraneous solutions. 3 x2 5x 6 x − 1 x 2 = 7 x 3 x = is a solution. x = is an extraneous solution.
The solution and extraneous solution of the equation as given are; x=7 and x=-2 respectively.
What is the solution of the equation?It follows that the equation given is;
(3/(x²+5x+6)) + ((x-1)/(x+2)) = 7/(x+3)
Hence, by multiplying both sides by (x²+5x+6); we have;
3 + x² +2x -3 = 7x + 14.
x²-5x -14 = 0
On this note, the solutions of the quadratic equation are; x =7 and x=-2.
It therefore follows that x= 7 is a solution while x=-2 is an extraneous solution because it renders (x-1)/(x+2) undefined.
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Answer:
x=7
x=-2
Step-by-step explanation:
The biotic factors of an ecosystem are arranged in feeding levels based on what they utilize for food or energy. Each of these feeding levels is called a
The biotic factors of an ecosystem are arranged in feeding levels known as trophic levels.
What is a trophic level?The trophic level of an organism is the position it occupies in a food web. The trophic level of an organism is the number of steps it is from the start of the chain.
Below are the list of the trophic levels:
1st Trophic Level (Producer) : Makes its own food2nd Trophic Level (Primary Consumer): Consumes producers3rd Trophic Level (Secondary Consumer): Consumes primary consumers4th Trophic Level (Tertiary Consumer): Consumes secondary consumersThe biotic factors of an ecosystem are arranged in feeding levels known as trophic levels.
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