Based on the provided voltage readings, the polarity of the single-phase transformer can be identified as follows: the dot notation represents the primary winding, while the numerical labels indicate the corresponding terminals.
The primary and secondary windings are denoted by L1 and L2, respectively. The polarities can be determined by observing the voltage readings across various terminal combinations.
To identify the polarity of a single-phase transformer, you can analyze the voltage readings obtained from different terminal connections. In this case, let's consider the given readings.
When measuring the voltage between L1 and L2, we obtain a reading of 121 volts. This indicates the voltage across the primary and secondary windings in the same direction, suggesting a non-reversed polarity.
Next, measuring the voltage between terminals 1 and 4 while connecting terminals 2 and 3 results in a reading of 26.47 volts. This implies that terminals 1 and 4 have the same polarity, while terminals 2 and 3 have opposite polarities.
Similarly, when connecting terminals 2 and 4 and measuring the voltage between terminals 1 and 3, a reading of 7.32 volts is obtained. This indicates that terminals 1 and 3 have the same polarity, while terminals 2 and 4 have opposite polarities.
For the combination of terminals 6 and 7, a voltage reading of 25.78 volts is measured between terminals 5 and 8. This suggests that terminals 5 and 8 have the same polarity, while terminals 6 and 7 have opposite polarities.
Lastly, when connecting terminals 5 and 7 and measuring the voltage between terminals 6 and 8, a reading of 5.42 volts is obtained. This indicates that terminals 6 and 8 have the same polarity, while terminals 5 and 7 have opposite polarities.
By considering the polarity relationships observed in these readings, we can conclude that the primary and secondary windings of the single-phase transformer have the same polarity. The dot notation indicates the primary winding, and the numerical labels represent the terminals.
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The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, produced by Phonola Media, is related to the price per compact disc. The equation p = -0.00043x + 8 (OSXS 12,000) where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price. The total monthly cost in dollars) for pressing and packaging x copies of this classical recording is given by C(x) = 600 + 2x - 0.00004x2 (OSX 20,000). Hint: The revenue is R(x) = px, and the profit is P(x) = R(x) - C(x). Find the revenue function, R(x) = px. R(x) = 8x - .00043x Find the profit function, P(x) = R(x) - C(x). P(x) = -.00039x + 6x - 600 Find the derivative of the profit function, P(x). P'(x) = -.00078x + 6 Find the critical number of the function P(x). (Round your answer to the nearest whole number.) x = 7692 To maximize its profits, how many copies should Phonola produce each month? (Round your answer to the nearest whole number.) discs/month
The revenue function, R(x), for the Walter Serkin recording of Beethoven's Moonlight Sonata produced by Phonola Media can be found using the equation p = -0.00043x + 8, which gives R(x) = px = (-0.00043x + 8)x.
To find the profit function, P(x), subtract the cost function, C(x) = 600 + 2x - 0.00004x^2, from the revenue function: P(x) = R(x) - C(x) = (-0.00043x + 8)x - (600 + 2x - 0.00004x^2).
Next, find the derivative of the profit function, P'(x), and set it to zero to find the critical number. This will help determine the number of discs Phonola should produce each month to maximize profits.
Following these steps, Phonola should produce approximately 7,692 discs per month to maximize profits.
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Last week Laura volunteered at the community cleanup event and her two patches for her school uniform she spent four minutes doing the patches onto her uniform this week Laura spent the week at the scale camp in another six patches if Laura Sue's at the same rate how many minutes what she spent suing her new patches onto her uniform?
Answer:
12 minutes
Step-by-step explanation:
Time spent for 2 patches = 4 minutes
Time spent for 1 patch = 4 / 2 = 2 minutes
Time spent for 6 patches = 2 x 6 = 12 minutes
You bought a winter coat for S48.75. The original price was $75. What percent of the original price did you pay for the coat?
Answer:
53.85%
Step-by-step explanation:
75-48.75= 26.25
26.25/48.75x100= 53.8461538462 Round 53.85%
Check Answer:
48.75 x 53.85%=26.251875 Round 26.25
48.75 + 26.25=75
Hence, the correct answer is 53.85%.
Evaluate 4-0.25g+0.5h4−0.25g+0.5h4, minus, 0, point, 25, g, plus, 0, point, 5, h when g=10g=10g, equals, 10 and h=5h=5h, equals, 5.
The equation, 4 - 0.25g + 0.5h, will be evaluated as equal to: 4.
How to Evaluate an Equation?To evaluate an equation, plug in the values of the variables in the equation and solve to get the simplified value.
Given the equation, 4 - 0.25g + 0.5h, where:
g = 10
h = 5
Substitute g = 10 and h = 5 into the equation 4 - 0.25g + 0.5h, then evaluate:
4 - 0.25(10) + 0.5(5)
Simplify
= 4 - 2.5 + 2.5
= 4 + 0
= 4
Therefore, if g = 10 and h = 5, the equation 4 - 0.25g + 0.5h, is evaluated as: 4.
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The Question:
Evaluate 4 - 0.25g + 0.5h when g = 10 h = 5.
for the variable A type the word lambda, fory type the word gamma, otherwise treat these as you would any other variable We will solve the heat equation -6, 0
The required heat equation is u(x, t) = (A×cos(λx) + B×sin(λx)) × exp(-λ²t)
To solve the heat equation in the given interval [-6, 0], we can use the separation of variables method. Let's denote the dependent variable as u(x, t), where x represents the spatial variable and t represents the temporal variable.
The heat equation in one dimension is given by:
∂u/∂t = α ∂²u/∂x²,
where α is the thermal diffusivity constant.
To solve this equation, we assume that the solution can be represented as a product of two functions, each depending on a single variable:
u(x, t) = X(x)T(t).
Substituting this into the heat equation, we have:
X(x)T'(t) = αX''(x)T(t),
where prime (') denotes differentiation with respect to the variable.
Dividing both sides by αX(x)T(t), we get:
T'(t)/T(t) = αX''(x)/X(x).
Since the left side depends only on t and the right side depends only on x, both sides must be equal to a constant, which we'll denote as -λ²:
T'(t)/T(t) = -λ² = αX''(x)/X(x).
Now, let's solve the temporal part of the equation:
T'(t)/T(t) = -λ²
This is a separable ordinary differential equation (ODE), and its general solution is given by:
T(t) = exp(-λ²t).
Next, let's solve the spatial part of the equation:
αX''(x)/X(x) = -λ².
This is also a separable ODE, and its general solution is given by:
X(x) = A×cos(λx) + B×sin(λx),
where A and B are arbitrary constants.
Therefore, the general solution to the heat equation is:
u(x, t) = (A×cos(λx) + B×sin(λx)) × exp(-λ²t).
Since we have the given interval [-6, 0], we can apply appropriate boundary conditions to determine the values of A, B, and λ that satisfy the problem.
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Jason Pawloski is married and claims 2 allowances. How much is withheld from his weekly paycheck of $550 for the last week of December for social security and Medicare taxes?
A survey asked 200 campers to choose their favorite activity. The results are displayed in this circle graph.
How many campers chose basketball as their favorite activity?
26 campers
36 campers
44 campers
58 campers
Answer:
it is 44 campers
Step-by-step explanation:
hope it helps
six shapes are shown bellow, some of these are regular polygons, some are regular some are not polygons in the table write down the letter of each shape in the correct column below
Table 1 is filled with option C, table 2 is filled with option A, B, and E, and table 3 is filled with option D.
There are six different shapes given in the questions.
We need to fill the table that is given in the question. The table is asked to segregate the figures into regular polygons, irregular polygons, and not polygon.
Therefore,
A regular polygon is only the option (C)
Irregular polygon is options A, B, and E.
Not a polygon is the only option (D)
Thus, table 1 is filled with option C, table 2 is filled with option A, B, and E, and table 3 is filled with option D.
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Two Pounds of grapes cost six dollars complete the table showing the price of different amounts of grapes at this rate.
Answer:
do lsibras a 6 dolares cadanax u
Step-by-step explanation:
Answer:
Here is a chart to help you answer your problem hope it help :)
Step-by-step explanation:
Which event took place during the Copernican revolution, when most people started to believe in a heliocentric model of the solar system? Aristotle developed his model of the solar system. Copernicus rediscovered Aristarchus's heliocentric model. Kepler's laws of planetary motion. Newton's theories of gravity were dismissed and considered invalid.
Answer: B
Step-by-step explanation:
B) Copernicus rediscovered Aristarchus's heliocentric model. The event which took place during the Copernican revolution.
Answer: HELP
Step-by-step explanation:
HELP MEEEE
Mary is 2 and 1/2 times as old as Jane. In 30 years' time, the sum of their ages will be 95 years. How old is Mary now?
Answer:
Step-by step explanation:
Trial and error.
Start with 30 because of the additional 30 years.
95-30= 75
75/ 2.5 = 30
So Mary is 30
What is the area of a parallelogram if the coordinates of its vertices are (0, -2), (3, 2), (8, 2), and (5, -2)?
A. 12
B. 15
C. 20
D. 24
I will give 30 and brainliest for a good answer
Answer:
The answer is 24.
Step-by-step explanation:
I graphed it out, and calculated it and this is what I got. I am terribly sorry if this is wrong. Please forgive, but I think it is right.
Answer:
D
Step-by-step explanation:
Find the 55th term of the arithmetic sequence -7, -5, -3,
Answer:
101Step-by-step explanation:
Formula for 55th term:
t55 = a + 54d, where a- first term, d - common differenceAs per sequence:
a = -7d = -5-(-7) = -5 + 7 = 2Then:
t55 = - 7 + 54*2 = -7 + 108 = 101Answer:
101
Step-by-step explanation:
I typed in 97 as the other person said and I got it wrong and I found out the correct answer and it is 101
At the football game they sold $4 pizzas and $2 sodas which made the school$260 the number of Sodas sold was five more than three times a number of pizzas sold determine the amount of pizza and sodad sold
\(\Huge \textsf{Answer:\fbox{25 pizzas and 80 sodas sold.}}}\)
\(\Huge \textsf{Step-by-step explanation}\)
\(\LARGE \bold{\textsf{Step 1: Assign Variables}}\)
\(\textsf{Let's assign a variable for the number of pizzas sold, we will call it \textit{"p."}}\\\textsf{And we will assign the variable\textit{"s"} for the number of sodas sold.}\)
\(\LARGE \bold{\textsf{Step 2: Write equations based on the given information}}\)
\(\large \bold{ \textsf{From the problem, we know that:}}\)
\(\bullet \textsf{The school made \$260 from seeling 4 pizzas and 2 sodas.}\\\\\bullet \textsf{The number of sodas sold was five more than three times the number of pizzas sold.}\)
\(\large \bold{ \textsf{We can use this information to write two equations:}}\)
\(\text{Equation 1} : 4p + 2s = 260 \text{(since each pizza costs \$4 and each soda costs \$2)}\)
\(\text{Equation 2} : s = 3p + 5 \text{(The number of sodas sold was 3 times the number of}\\\text{pizzas sold plus 5)}\)
\(\LARGE \bold{\textsf{Step 3: Solve the system of equations}}\)
\(\large \textsf{To solve the system of equations, we can substitute Equation 2 into Equation}\\\textsf{1 for \textit{"p"}:}\)
\(\bullet \textsf{4\textit{p} + 2\textit{s} = 260}\\\\\bullet \textsf{4\textit{p} + 2(3\textit{p} + 5) = 260}\)
\(\large \textsf{Simplifying this expression gives us:}\)
\(\textsf{10\textit{p} + 10 = 260}\)
\(\large \textsf{Subtracting 10 from both sides:}\)
\(\textsf{10\textit{p} = 250}\)
\(\large \textsf{Dividing both sides by 10}\)
\(\textsf{\textit{p} = 25}\)
\(\large \textsf{Now that we know the number of pizzas sold, we can use Equation 2 to find}\\\textsf{the number of sodas sold:}\)
\(\bullet \textsf{\textit{s} = 3\textit{p} + 5}\\\\\bullet \textsf{\textit{s} = 3(25) + 5}\\\\\bullet \textsf{\textit{s} = 75 + 5}\\\\\bullet \textsf{\textit{s} = 80}\)
\(\large \textsf{So, 25 pizzas and 80 sodas were sold.}\)
----------------------------------------------------------------------------------------------------------
4. the radius of the larger circle is 10.2 feet. the radius of the smaller circle is 5.4 feet: find the area of the shaded region.
The area of the shaded region is approximately 18.38 square feet.
To find the area of the shaded region between the larger circle with a radius of 10.2 feet and the smaller circle with a radius of 5.4 feet, we can use the concept of circle sectors.
The area of a circle sector can be calculated by finding the difference between the area of the corresponding triangle and the area of the circular segment.
First, let's calculate the area of the larger circle:
A_large = π(10.2)^2
Next, we calculate the area of the smaller circle:
A_small = π(5.4)^2
To find the area of the shaded region, we need to find the difference between the two circle sectors formed by the radii of the larger and smaller circles.
The angle of the sector formed by the radii can be found using trigonometry. Let's call it θ.
sin(θ) = (10.2 - 5.4) / 10.2
sin(θ) = 0.4706
Using inverse sine, we find θ ≈ 28.15 degrees.
Now we can calculate the area of the shaded region:
Shaded area = (θ / 360°) * A_large - (θ / 360°) * A_small
Shaded area ≈ (28.15 / 360) * π(10.2)^2 - (28.15 / 360) * π(5.4)^2
Shaded area ≈ (0.0782) * π(104.04) - (0.0782) * π(29.16)
Shaded area ≈ 8.1403π - 2.2832π
Shaded area ≈ 5.8571π
Finally, to approximate the value, we use the approximation π ≈ 3.14159:
Shaded area ≈ 5.8571 * 3.14159
Shaded area ≈ 18.38 square feet.
Therefore, the area of the shaded region is approximately 18.38 square feet.
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simplifyng algebraic expressions
-2z-3w+7+8 use z=3 and w=9
Answer:
-9
Step-by-step explanation:
Substitute 3 for z and 9 for w in the equation.
\( - 2z - 3w + 7 + 8\)
\( - 2(3) - 3(9) + 15\)
\( - 6 - 18 + 15\)
\( - 24 + 15\)
\( - 9\)
The solution of the equation 3 + 5 (t-1) = 33 is ________.
Answer:
the solution is = 7
\(3 + 5(t - 1) = 33 \\ = > 3 + 5t - 5 = 33 \\ = > 5t = 33 - 3 + 5 \\ = > 5t = 30 + 5 \\ = > 5t = 35 \\ = > t = \frac{35}{5} \\ = > t = 7\)
Answer:
7
Hope you could get an idea from here.
Doubt clarification - use comment section.
The continuous random variable X has a probability density function (pdf) given by f(x) Şi- & for 0 < x < 2 lo otherwise Part(a) Find the median of X, correct to 2 decimal places. 0.59 Part(b) Find P(X >>). Give your answer as a decimal, correct to 2 decimal places. 0.56 Part(c) Two independent observations of X are taken. Find the probability correct to 2 decimal places that one is less than and the other is greater than 2. The order in which we take observations matters. 0.25 Part(d) Find Var(X), correct to 2 decimal places. 0.22 Part(e) Find E(X), correct to 2 decimal places. 0.75 Part(f) Find the value of q such that P(X
The median of X is 1; P(X > 2) = 0; P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0; Var(X) is approximately 0.33; E(X) is 1 and the value of q such that P(X < q) = 0.95 is 1.9.
(a) To find the median of X, we need to find the value of x for which the cumulative distribution function (CDF) equals 0.5.
Since the PDF is given as f(x) = 1/2 for 0 < x < 2 and 0 otherwise, the CDF is the integral of the PDF from 0 to x.
For 0 < x < 2, the CDF is:
F(x) = ∫(0 to x) f(t) dt = ∫(0 to x) 1/2 dt = (1/2) * (t) | (0 to x) = (1/2) * x
Setting (1/2) * x = 0.5 and solving for x:
(1/2) * x = 0.5; x = 1
Therefore, the median of X is 1.
(b) To find P(X > x), we need to calculate the integral of the PDF from x to infinity.
For x > 2, the PDF is 0, so P(X > x) = 0.
Therefore, P(X > 2) = 0.
(c) To find the probability that one observation is less than 2 and the other is greater than 2, we need to consider the possibilities of the first observation being less than 2 and the second observation being greater than 2, and vice versa.
P(one observation < 2 and the other > 2) = P(X < 2 and X > 2)
Since X follows a continuous uniform distribution from 0 to 2, the probability of X being exactly 2 is 0.
Therefore, P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0.
(d) The variance of X can be calculated using the formula:
Var(X) = E(X²) - [E(X)]²
To find E(X²), we need to calculate the integral of x² * f(x) from 0 to 2:
E(X²) = ∫(0 to 2) x² * (1/2) dx = (1/2) * (x³/3) | (0 to 2) = (1/2) * (8/3) = 4/3
To find E(X), we need to calculate the integral of x * f(x) from 0 to 2:
E(X) = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1
Now we can calculate the variance:
Var(X) = E(X²) - [E(X)]² = 4/3 - (1)² = 4/3 - 1 = 1/3 ≈ 0.33
Therefore, Var(X) is approximately 0.33.
(e) The expected value of X, E(X), is given by:
E(X) = ∫(0 to 2) x * f(x) dx = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1
Therefore, E(X) is 1.
(f) The value of q such that P(X < q) = 0.95 can be found by solving the following equation:
∫(0 to q) f(x) dx = 0.95
Since the PDF is constant at 1/2 for 0 < x < 2, we have:
(1/2) * (x) | (0 to q) = 0.95
(1/2) * q = 0.95
q = 0.95 * 2 = 1.9
Therefore, the value of q such that P(X < q) = 0.95 is 1.9.
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Jocelyn is training for a race by running several miles each day. she tracks her progress by recording her average speed in minutes per mile for each day since she started training. based on the information given, what could jocelyn expect to have for her average speed on the 9th day?
Finding the regression equation, her average speed on the 9th day should be expected to be of 6.92 minutes per mile.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
Researching the problem on the internet, the values of x and y are given as follows:
Values of x: 1, 2, 3, 4, 5, 6.Values of y: 8.2, 8.1, 7.5, 7.8, 7.4, 7.5.Hence, using a calculator, the equation for the average minutes per mile after t days is given by:
V(t) = -0.15143t + 8.28
Hence, for the 9th day, t = 9, hence the estimate is:
V(9) = -0.15143(9) + 8.28 = 6.92 minutes per mile.
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Solve for X and y PLEASE GIVE FULL EXPLANATION HOW YOU GOT IT
Answer:
(1, -1)
Step-by-step explanation:
we isolate y in the first equation
2x+y=1
-2x. -2x
y=1-2x
and now we fill y into second equation
4x-2(1-2x)=6
4x-2+4x=6
8x-2=6
+2 +2
8x=8
/8 /8
x=1
and now to find y we insert x
2(1)+y=1
2+y=1
-2. -2
y= -1
hopes this helps
The path of a baseball being hit by a bat is modeled by the function b(t) = -16t^2 + 50t + 3. Where the height of the ball is in feet and the time is in seconds.
a. When will the baseball hit the ground?
b. Find the height of the ball after 2 seconds.
Answer:
a) 3 sec
b) 39 feet
Step-by-step explanation:
a) b(0) = -16(b)² + 50(0) + 3
b(0) = 3
b) b(2) = -16(2)² + 50(2) + 3
b(2) = -64 + 100 + 3
b(2) = 36 + 3
Solve for y.
y - 12 = -10
y = 2
y = -22
y = 22
y = -2
Answer:
y = 2
because when you transpose -12 it changes the sign it become positive
NO LINKS!! PLSS HELP ME I WILL GIVE YOU BRAINLYEST!!
Mr. Hernandez bought 16 meters of
chain-link fencing. The section of his yard that
needs to be fenced is 50 feet long. Did Mr.
Hernandez buy enough fencing? Determine the
number of feet Mr. Hernandez still needs to buy
or how many extra feet he has purchased.
(1 meter = 3.28 feet.)
Answer:
well yes he has 2.4 extra
Step-by-step explanation:
1 meter is 3.28 feer so 3.28 x 16 is 52.4 and he only need 50.
hoped this hlepd and you have to give me brailyest. i just want to help...
Answer:
yes
Step-by-step explanation:
well we can just multiply the 3 with the 16
well now we have 48
add 28, 16 times which gives us 4.48
48+4.48 52.48
you have 2.48 feet left
and yes he has enough
now, about that deal.....
Which one is correct ; BODMAS , BOMDAS, BIDMAS or PIDMAS?
Answer:
BODMAS
Step-by-step explanation:
BODMAS is correct.
Brackets
Of
Division
Multiplication
Addition
Subtraction
in a survey of 2480 golfers, 15% said they were left-handed. the survey's margin of error was 3%. construct a confidence interval for the proportion of left-handed golfers.
The confidence interval for the proportion of left-handed golfers is of:
(0.12, 0.18).
How to obtain a confidence interval?A confidence interval is calculated as the sample mean plus/minus the margin of error, hence the bounds of the confidence interval are given as follows:
Lower bound: sample mean - margin of error.Upper bound: sample mean + margin of error.In the context of this problem, these parameters are given as follows:
Sample mean: 15% as a percentage, 0.15 as a proportion.Margin of error: 3% as a percentage, 0.03 as a proportion.Hence the lower bound of the confidence interval for the proportion of left-handed golfers is:
0.15 - 0.03 = 0.12.
The upper bound of the confidence interval for the proportion of left-handed golfers is:
0.15 + 0.03 = 0.18.
Then the interval is:
(0.12, 0.18).
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For the graph to the right, describe the composition of transformations that maps KXH to NGP? Thanks.
As we can see in the graph, the triangle KXH has been reflected both on the y-axis and x-axis and then reduce by a scale factor between 0 and 1.
Reflection on both the y-axis and x-axis can be renamed to a single transformation which is a rotation of 180° about the origin. The transformation rule of a rotation about the origin is (x, y) → (-x, -y).
From the original coordinates of the triangle KXH, after rotation of 180° about the origin, the new coordinates are:
Now, if we compare the coordinates of triangle NGP and the new coordinates after the rotation:
We can see that the new coordinates after rotation was multiplied by 1/2 to form the coordinates of the Triangle NGP.
Hence, after a 180° rotation, the triangle KXH is dilated by a scale factor of 1/2. In symbol, this can be written as:
\(D_{0.5}\circ r_{(180\degree,O)}(KXH)\)Note that instead of using 1/2, we use decimal because the instruction is to use integer or decimal.
The answer is Option D and fill in the box with D sub 0.5 as shown above.
100 divided by what equals 35
Answer:
2
Step-by-step explanation:
Given 7 distinct objects, the number of ways to arrange 4
objects at a time is
Select one:
a.
840
b.
28
c.
5040.
d.
35
Answer:
840 different ways
Step-by-step explanation:
P(n, r) = n! / (n - r)!
P(7, 4) = 7! / (7 - 4)!
= 7! / 3!
= (7 * 6 * 5 * 4) / (3 * 2 * 1)
= 840
.In order to increase the value of the F statistic, which of the following must occur?
a. MSwithin > MSbetween
b. MSwithin = MSbetween
c. MSwithin < MSbetween
d. Ratio = 1
If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.
How the F statistic is calculated?The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.
So, the answer is:
a. MSwithin > MSbetween
If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.
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If
−−→
Q
S
bisects
∠
R
Q
P
,
m
∠
R
Q
S
= (5x + 10)°, and
m
∠
S
Q
P
= (7x – 10)°, find
m
∠
S
Q
R
.
Answer:
SQR = 60
Step-by-step explanation:
BISECTS both angles are equal
RQS = SQP
5x+10=7x-10
20=2x
10=x
-------------------
5(10)+10=50+10=60
60 + 60 =120