Answers
Answer(s):
[tex]\displaystyle y = 3cos\:(\frac{1}{4}x - \frac{\pi}{2}) - 1 \\ y = -3sin\:(\frac{1}{4}x \pm \pi) - 1 \\ y = 3sin\:\frac{1}{4}x - 1[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{1}{4}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{8\pi} \hookrightarrow \frac{2}{\frac{1}{4}}\pi \\ Amplitude \hookrightarrow 3[/tex]
OR
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{8\pi} \hookrightarrow \frac{2}{\frac{1}{4}}\pi \\ Amplitude \hookrightarrow 3[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3cos\:\frac{1}{4}x - 1,[/tex] in which you need to replase “sine” with “cosine”, then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 2\pi\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 2\pi\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{2\pi} = \frac{\frac{\pi}{2}}{\frac{1}{4}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3cos\:(\frac{1}{4}x - \frac{\pi}{2}) - 1.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-10\pi, -4],[/tex]from there to [tex]\displaystyle [-2\pi, -4],[/tex]they are obviously [tex]\displaystyle 8\pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 8\pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Related Questions
If you have 3 dimes, one less penny than twice as many dimes and 2 less quarters than 3 times as many dimes, then how much total money do you have?
$2.11
$2.10
$1.10
$1.11
Answers
Answer:
$2.11
Step-by-step explanation:
Let's call the number of dimes x.
The number of pennies is two times the number of dimes minus 1, so 2x - 1.
The number of quarters is three times the number of dimes minus 2, so 3x - 2.
So, we know that we have x dimes, 2x - 1 pennies, and 3x - 2 quarters
In terms of money, we can find the total by converting each coin to its value in dollar.
x dimes = x * $0.10 = $0.10x
(2x - 1) pennies = (2x - 1) * $0.01 = $0.02x - $0.01
(3x - 2) quarters = (3x - 2) * $0.25 = $0.75x - $0.50
Now we can add these three equations to find the total money.
$0.10x + $0.02x - $0.01 + $0.75x - $0.50 = $0.87x - $0.51
Given the x = 3, we can substitute it in the above equation
$0.87*3 - $0.51 = $2.11
So, the answer is $2.11
Answer:
Step-by-step explanation:
PLS HELP ME ASAP ILL GIVE BRAINIEST:)
Which equation can be used to find the area of the of the parallelogram?
Responses
A A = 10(5 + 7)
B A = (7)(5)
C A = (15)(7)
D A = (15)(5)
Answers
Answer:The answer is D (15)(5)
Step-by-step explanation:
To find the area of a parallelogram the formula it b×h. Base and height and the base is 15cm and the height is 5cm so the answer is d because 7 isn't the base or height it is a slant.
Answer: C
Area = Base x Height (15)(5)
I need helppppppppppppppppppppppppppppppppp
Answers
Answer:
y = 14 and lh = 16
Step-by-step explanation:
i already answered this in ur other question
A poll asked 15 men in two age groups, 30 and younger and older than 30 whether they had facial hair (mustache, beard, sideburns, etc.). The results are recorded in the table.
(a) Create a two-way table of the data. Of the men surveyed, how many were 30 and younger? How many men did not have facial hair?
(b) create a two-way relative frequency table that displays the relative frequency of the men 30 and younger and of the men older than 30 who did or did not have facial hair. Express your answers as decimals written to three decimal places.
(c) What percentage of men older than 30 had facial hair?
Answers
Answer: look below
Step-by-step explanation:
You need to count the persons and classify them into four groups.
1) 30 and younger with facial hair: 4 people
2) older than 30 with facial hair: 5 people
3) 30 and younger without facial hair: 3
4) older than 30 without facial hair: 4
(a)
Create a two-way table of the data. Of the men surveyed, how many were
30 and younger? How many men did not have facial hair?
This is the table using the data classified:
--------------------------------------------------------------
|with facial hair | without facial hair | total |
-------------------------------------------------------------------------------------
30 & younger | 4 | 3 | 7 |
-------------------------------------------------------------------------------------
older than 30 | 5 | 3 | 8 |
-------------------------------------------------------------------------------------
Total | 9 | 6 | 15 |
-------------------------------------------------------------------------------------
7 men were 30 and younger.
6 men did not have facial hair.
(b) Create a two-way relative frequency table that displays the relative
frequency of the men 30 and younger and of the men older than 30 who
had or did not have facial hair.
Express your answers as decimals
written to three decimal places.
This is the table:
---------------------------------------------------------------
|with facial hair | without facial hair | total |
-------------------------------------------------------------------------------------
30 & younger | 4/15 | 3/15 = 1/5 | 7/15 |
-------------------------------------------------------------------------------------
older than 30 | 5 /15 = 1/3 | 3/15 = 1/5 | 8/15 |
-------------------------------------------------------------------------------------
Total | 9/15 = 3/5 | 6/15 = 2/5 | 1 |
-------------------------------------------------------------------------------------
This is the answer showing three decimal digits:
---------------------------------------------------------------
|with facial hair | without facial hair | total |
-------------------------------------------------------------------------------------
30 & younger | 0.267 | 0.200 |0.467 |
-------------------------------------------------------------------------------------
older than 30 | 0.333 | 0.200 |0.533 |
-------------------------------------------------------------------------------------
Total | 0.600 | 0.400 | 1 |
-------------------------------------------------------------------------------------
(c) What percentage of men older than 30 had facial hair?
Percentage = relative frequency * 100 % = (1/3)*100 % = 33.33%
In one class, homework is worth 55% of the final grade, each of 3 projects is worth 10%, and a final exam is worth 15%. (a) If a student has an 82 homework average and a 96 on the first project, what is the student's grade at this point? (b) If the same student from part (a) gets a 74 on the second project and a 71 on the third project, what is the lowest grade the student can get on the final exam to overall in the course? (a) The grade at this point is (Simplify your answer. Round to the nearest tenth as needed.)
Answers
The worth of the homework is 55% and worth of final exam is 15%. The worth of each three projects is 10%
a) Finding the student's grade, If a student has an 82 homework average and a 96 on the first project.
Students grade = 82(55%) + 96(15%)
= 45.1 + 14.4
Students grade= 59.5
(b) Finding the lowest grade the student If a student gets a 78 on the second project and a 76 on the third project.
Let G be the lowest grade in the final exam.
It was stated that the lowest grade the student can get on the final exam to get an 80 overall in the course:
82(55%) + (96 +74 + 71)(25%) +G (15%)= 82
45.1 +60.25 + G0.15 = 82
Making G the subject of the relation we have
G0.15 = 82 -105.35
G0.15 = --23.35
G= 155-100
Therefore the lowest grade is 55
Learn more about students projects on https://brainly.com/question/29987934
#SPJ1
A sand volleyball court has a perimeter of 50 meters. Its area is 136 square meters. What are the dimensions of the volleyball court?
Answers
Answer:
The dimensions of the sand volleyball court are 17 meters by 8 meters.
Into how many parts should you divide 30?
Answers
It depends on the purpose of dividing 30. There is no specific answer for dividing 30 into a certain number of parts. It can be divided into any number of parts, as long as it is a whole number.
Answer:
it depends upon ur requirement that hw many parts is needed by u
Step-by-step explanation:
like if u need 2 parts it can happen by having 15 on one side and 15 on the other similarly it,s the way to divide it to many parts required by u
COMPARING FUNCTIONS A cross section of a birdbath can be modeled by y=(x-18)² – 4, where x
and y are measured in inches. The graph shows the cross section of another birdbath.
N
y=
75
Answers
To compare the two birdbaths, we can compare the equations for their respective cross sections.
What is cross sections?Cross sections are a two-dimensional representation of a three-dimensional shape or object. Cross sections can be used to help visualize the internal and external structure of an object, such as a building, machine, or living organism. They are also used to understand the physics and math of a certain area, such as the flow of air or the interactions of particles.
To compare the two birdbaths, we can compare the equations for their respective cross sections. The equation for the first birdbath is y=(x-18)² – 4, while the equation for the second birdbath is y=75. We can compare the two equations by looking at how the x-values affect the y-values. In the first equation, as x increases, y increases. In the second equation, y remains constant. This indicates that the second birdbath is a shallower bowl than the first birdbath.
To learn more about cross sections visit:
brainly.com/question/28257972
#SPJ1
Write an equation in slope intercept form of the line that passes through the pair points (0,-4) and (5,-4)?
Answers
The equation of a line given point (0, -4) and (5, -4) be y + 4 = 0.
What is meant by slope intercept form?Writing an equation for a line in the form y = mx + b is known as slope intercept form in mathematics. The m indicates the line's slope, while the b indicates the y-intercept. When attempting to locate a point on a line or determine y given x, the slope intercept form is utilized.
The equation may be constructed as soon as it is realized that the Y-coordinates of the provided two points through which the line travels are identical.
y = -4, or, y + 4 = 0
This behaviour of points on a line occur, when and only when, the line exists Horizontal,
i.e., line [tex]$\|$[/tex] to the x-axis.
Use the formula for the equation of a line passing through the points
[tex]$\left(x_1, y_1\right)$[/tex] and [tex]$\left(x_2, y_2\right)$[/tex] given by, [tex]$: \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$[/tex]
substitute the values in the above equation, we get
[tex]$\frac{y+4}{x-0}=\frac{-4+4}{5-0}=0 \Rightarrow y+4=0$$[/tex]
Therefore, the equation of a line given point (0, -4) and (5, -4) be y + 4 = 0.
To learn more about slope intercept form refer to:
https://brainly.com/question/306928
#SPJ1
Let A = {1, 3, 5}. Then the number of equivalence relations in A containing (1, 3) is
Answers
If A = {1, 3, 5} then it must contain 9 equivalence relations.
What is an equivalence relation?A relation that is reflexive, symmetric, and transitive is called an equivalence relation.
A = {1, 2, 3}
For equivalence relation containing (1, 3)
For symmetric, it must consist (1, 3) and (3, 1).
For transitivity, it must consist (1, 3) and (3, 2) and (1, 2),(2, 1),(2, 3),(3, 1)
For reflexivity, it must consist (1, 1) and (2, 2),(3, 3)
⇒ R = {(1, 1),(2, 2),(2, 3),(3, 3),(1, 2)(1, 3),(2, 1),(3, 1),(3, 1)}.
learn more about equivalence relations here :
https://brainly.com/question/14307463
#SPJ1
Kapil paid Rs.30 for pen and book. If the cost of the book is double the cost of the pen then Find the cost of book.
Answers
Solution
let the cost of book be x and cost of pen be y
as per the question x+y=30------equation 1
it is also given that cost of book is double the cost of pen so
x=2y-------- equation 2
substituting x=2y in equation 1 we get
2y+y=30
3y=30
y=30/3=10
substituting y=10 in equation 2 we get
x=2{10}
x=20
cost of book is 20 and cost of pen is 10
Find the slope of each line.
Answers
Answer:
m = 1/4
Step-by-step explanation:
Slope is defined as
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
There are two solid points
(4,0) (-4,-2)
So using that equation
=(-2-0)/(-4-4)
=(-2)/(-8)
=1/4
Slope is 1/4
The following expression is equal to q". What is the value of n?
Answers
We can see here that the value of n = 16.
What is an expression?An expression in mathematics is a combination of numbers, variables, and mathematical operations that represent a mathematical value or concept. It can be a single term, such as "5x", or a combination of terms, such as "5x + 2". Expressions are used to describe mathematical relationships and equations, and they can be simplified, evaluated, and solved to determine a numerical value.
Below is how we got n.
We can see that having: [tex]\frac{(q^{4} )^{-3} }{q^{-15} }[/tex]
[tex]\frac{(q^{4} )^{-3} }{q^{-15} } = q^{n}[/tex]
Thus, [tex]\frac{(q^{4} )^{-3} }{q^{-15} } = \frac{q^{4-3} }{q^{-15} }[/tex]
∴ [tex]\frac{q^{4-3} }{q^{-15} } = q^{1-(-15)} = q^{1+15} = q^{16}[/tex]
Therefore, [tex]q^{n} = q^{16}[/tex]
Thus, n = 16.
Learn more about an expression on https://brainly.com/question/1859113
#SPJ1
I don't understand this, USE YOUR SKILLS AND HELP MEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
$102
Step-by-step explanation:
It cost $25.50 per inch. They want to buy 4 inches.
Inch 1 Inch 2 Inch 3 Inch 4
v v v v
25.50 + 25.50 + 25.50 + 25.50 is the same as 25.50 · 4 which equals 102
what is y=7x + 4 in standard form
Answers
Answer:
the answer to this would be 7x - y = -4
Step-by-step explanation:
you move the 7x in front of the y which causes the 4 to become negative which then causes the 7x to be subtracted from y
hope this helped
I need a little help...
Answers
In case of the following perpendicular triangles-
Part 1) x=8
Part II mRSU=133°
mUST=47° (Part 3).
mWSV=43° (Part 4).
5th Part mVSU=137°
Explanation in detail:
To better understand the issue, please examine the accompanying figure.
Part 1) Determine the value of x.
We are aware that
mRSU and mUST are auxiliary angles (by linear pair)
so m∠RSU+m∠UST=180°
We now have
m∠RSU=(17x-3)°
m∠UST=(6x-1)°
Substitute the provided values for x and solve
Part 2) Determine the value of mRSU.
We now have
m∠RSU=(17x-3)°
replace the value of x
m∠RSU=17(8)-3=133°
Part 3) Determine the value of mUST.
We now have
m∠UST=(6x-1)°
replace the value of x
m∠UST=6(8)-1=47°
Part 4) Determine the value of mWSV.
We are aware that
mRSW=mUST ——-> by means of vertical angles
so
m∠RSW=47°
mRSW+mWSV=90° ----> issue presented (SV perpendicular RT)
Substitute mRSW for the value of mWSV and solve for mWSV.
47°+m∠WSV=90°
m∠WSV=90°-47°=43°
Part Part 5) Determine the value of mVSU.
We are aware that
m∠VSU=m∠VST+m∠UST
We now have
mVST=90° ----> provided issue (SV perpendicular RT)
m∠UST=47°
substitute
m∠VSU=90°+47°=137°
Learn more about perpendicular from here;
https://brainly.com/question/1202004
#SPJ1
Identify the 3 digit number of the millions period in 114,475,802.
Answers
Which system of equations has no solution
3y = 1 + x Y = 2x + 5
Answers
Answer:
Step-by-step explanation:
blah blah blah
a test has 20 questions and is worth 100 points. the test consists of x true/false questions worth 4 points and y multiple choice questions worth 8 points each. How many of each type of question are on the test?
Answers
Translate the word problem into a system of equations, with x representing true/false questions and y representing multiple choice questions:
(1) [tex]x+y=20[/tex] <-- a test has 20 total questions
(2) [tex]4x+8y=100[/tex] <-- the test is worth 100 total points
Now we have a system of two equations with two unknowns, which we can solve with the elimination method.
Let's multiply equation (1) by -4 so that we can eliminate x from the system:
[tex]-4x-4y=-80[/tex]
Now, add this new equation to equation (2) to eliminate x so that we only have one variable left:
[tex]4y=20[/tex]
Solve for y:
[tex]y=5[/tex]
Now, substitute this value for y into either the original equation (1) or (2). I will do equation 1 for simplicity:
[tex]x+5=20[/tex]
Solve for x:
[tex]x=15\\[/tex]
Notice that we now have values for both x and y, so we are done. We now know that there are 15 true/false questions and 5 multiple choice questions on the test!
HELPPPPPPP PLEASEEEEEEEEEEEEE
Answers
Applying the exterior angles theorem, the measure of angle JKL is: 22°.
What is the Exterior Angles Theorem?Exterior Angle Theorem states: "The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it."
Applying the exterior angles theorem, we would create the following equation:
m<JKL = m<KIJ + m<IJK
Substitute:
5x - 3 = 2x + 8 + x - 1
Solve for x
5x - 3 = 3x + 7
5x - 3x = 3 + 7
2x = 10
x = 5
m<JKL = 5x - 3 = 5(5) - 3
m<JKL = 22°
Learn more about the exterior angles theorem on:
https://brainly.com/question/11356657
#SPJ1
help asappppppppppop
Answers
Step-by-step explanation:
oh, come on. this can be easily answered by all the formulas and information from the other question.
again the area of a circle is
pi×r²
so, for the given area of 9pi this means the radius is
r = sqrt(9) = 3 cm
the slant height is 4 times the radius
L = 3×4 = 12 cm
the total surface area of a cone is again
pi×r(r + L) = pi×r² + pi×r×L
the lateral area alone (without the base area) is then
pi×r² + pi×r×L - pi×r² = pi×r×L
in our case
3.14×3×12 = 113.04 ≈ 113 cm²
PLEASE HELP........URGENT
Answers
Answer:
1. 184-x
2. 90
3. y=4x/3-23/3
Step-by-step explanation:
1. 180-(x-4)=184-x (supplementary angles)
2. 180/2=90 (supplementary angles)
3. y=-3x/4+2
y+5=(4/3)(x-2)
y=4x/3-23/3
determine the number of vectors (x1, x2 . . ., xn) such that each xi is either 0 or 1 and n where k is a non-negative integer less than or equal to n.
Answers
The number of vectors (x1, x2 . . ., xn) such that each xi is either 0 or 1 and n where k is a non-negative integer less than or equal to n is 2^n.
Each xi in the vector (x1, x2, ..., xn) can be either 0 or 1. Therefore, there are 2 possibilities for each xi. The number of vectors that can be formed by combining these values is equal to the number of combinations of 2 possibilities, taken n times.
This is equivalent to 2^n. For example, if n = 2, then there are 2 possibilities for x1 (either 0 or 1) and 2 possibilities for x2 (either 0 or 1). The total number of vectors that can be formed is 2 * 2 = 2^2 = 4. In general, the number of vectors that can be formed is equal to 2^n.
Learn more on vectors :
https://brainly.com/question/25705666
#SPJ4
The point b divides the ac in the ratio 2:3
Work out the vector OC in terms of an and b. SImplify your answer
Answers
Answer:
Where is your question
Step-by-step explanation:
I need it to solve the problem
A regular triangular pyramid has a base and lateral faces that are congruent equilateral triangles. It has a lateral surface area of 57 square centimeters. What is the surface area of the regular triangular pyramid?
Answers
The surface area of the regular triangular pyramid is 76 square centimeters.
What is a regular triangular pyramid?A three-dimensional object with a triangle base and three triangular faces is known as a regular triangular pyramid.
Given:
A regular triangular pyramid has a base and lateral faces that are congruent equilateral triangles.
It has a lateral surface area of 57 square centimeters.
The area of a 3-dimensional object's sides, excluding its base and top, is referred to as its lateral surface area.
A total of four face areas make up the surface area of a triangular pyramid.
The area of one face = lateral surface area / 3
57 / 3 = 19
The surface area = 19 x 4 = 76
Therefore, the surface area is 76 square centimeters.
To learn more about the pyramid;
https://brainly.com/question/17615619
#SPJ1
Still stuck on this problem, due today, I have the main idea but still can't get the right answer.
There are more than 1/4 million species of beetle. Assume the average length of a beetle is 1 cm and the average walking speed is 10 cm per second. These beetles walk up a gang-plank that is 5 meters long onto an ark. They do this in pairs, side by side, one male and one female from each species. The pairs of beetles are spaced so there is a gap of 7 cm between species. How many hours will it take for all 1/4 million species of beetles to embark onto the ark once the first pair starts up the gangplank?
Answers
Answer:
55.56925 hours
Step-by-step explanation:
You want to know how long it would take 1/4 million species of beetle to embark an ark up a 5 m gangplank if each beetle is 1 cm long, they are separated by 7 cm, and they move at 10 cm/s.
DistanceThe last beetle must cover a distance that is the 500 cm gangplank plus the total length of beetle and separation distance of the 249,999 beetles in front of it, plus its own length.
(1/4 million -1)×(1 +7 cm) +1 cm = 2,000,493 cm
TimeThe time required is the distance divided by the speed:
(2000493 cm)/(10 cm/s) = 200049.3 s
There are 3600 seconds in an hour, so this is ...
200049.3 s/(3600 s/h) = 55.56925 h
The 1/4 million species can be loaded in 55.56925 hours.
__
Additional comment
The time is converted to hours : minutes : seconds by recognizing there are 60 minutes in an hour, and 60 seconds in a minute. That time is ...
55 hours 34 minutes 9.3 seconds
It will take 27.8 hours for all beetles to embark onto the ark.
What is speed ?Speed is measured as the ratio of distance to the time in which the distance was covered.
Given,
There are 1/4 million beetles
= 250,000 beetles
they move side by side in pairs
250,000 /2 = 125,000 pairs form a line.
Length of each beetle 1 cm
space of 7cm between them
total distance = 8cm.
125,000 form a line
so total length = 125,000 * 8 = 1000,000 cm is the length of the line.
the length of the plank = 500 cm
so the distance covered = 1000,000+500 = 1000,500 meters
distance = 1000,500 cm
speed = 10 cm/s
Time = distance / speed
Time = 1000,500/10
Time = 100050 seconds
= 100050/3600 hours
= 27.8 hours
Hence, all 1/4 million species will take 27.8 hours to embark onto the ark.
Learn more about speed here:
brainly.com/question/28224010
#SPJ1
Find a function rule for the line that passes through the origin (0,0) and the point (-6,-18).
Answers
The function of the line passing through the points (0,0) and (-6,-18) is y = 3x.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points are (0,0) and (-6,-18)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
m = -18/-6
m = 3
The equation of the line is given as
y - y₁ = 3 (x - x₁)
y + 0 = 3(x - 0)
y = 3x
Thus, the function of the line passing through the points (0,0) and (-6,-18) is y = 3x.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ1
fill in the blanks in the above anova table.at 95% confidence, test to determine whether or not the means of the 3 populations are equal. the denominator degrees of freedom is
Answers
In this case, the denominator degrees of freedom is 18 - 3 = 15.
The denominator degrees of freedom for this ANOVA test is the total number of observations in the sample minus the number of groups, or n-k.
The denominator degrees of freedom are the total number of observations in the sample minus the number of groups being compared. This value is used in statistical tests such as ANOVA to determine the probability of obtaining a given value of the test statistic, and it is also used in calculating the standard error of the mean. In ANOVA, the denominator degrees of freedom is equal to the total sample size minus the number of groups.
Learn more about confidence level:
https://brainly.com/question/17212516
#SPJ4
I have to go to the park and park in the park
Answers
On solving the provided question we can say that by unitary method 1/4 tickets sold were bought by teachers , so teachers bought = 20/4 = 5, so students cost was = 15*8 = $120
What is unitary method?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
by unitary method
1/4 tickets sold were bought by teachers ,
so teachers bought = 20/4 = 5
so students cost was = 15*8 = $120
To know more about unitary method visit:
brainly.com/question/28276953
#SPJ1
(1.) A random number generator was used to resample the group. Use the new table below to answer the questions. Cholesterol in mg/dL New Control 220 245 247 230 243 218 245 240 224 232 New Treatment 225 248 221 242 235 246 250 224 241 242 What is the mean of the new control group? Round to the nearest tenth. 234.4 237.4 242.5 235.9
(2). A randomized comparative experiment tests whether a cholesterol medication lowers the overall blood pressure for male patients. The control group has ten male patients and the treatment group, which receives the medication, has 10 male patients. All patients started with a cholesterol level of 245 mg/dL. Cholesterol in mg/dL Control 241 243 242 245 250 248 246 245 242 247 Treatment 230 225 220 218 224 240 232 221 235 224 What is the mean of the control group? Round to the nearest tenth. 235.7 226.9 244.9 228.3
(3.) A random number generator was used to resample the group. Use the new table below to answer the questions. Cholesterol in mg/dL New Control 220 245 247 230 243 218 245 240 224 232 New Treatment 225 248 221 242 235 246 250 224 241 242 What is the difference in the new treatment mean and new control mean? Round to the nearest tenth. 5.8 -2 -1.4 3
(4.) A randomized comparative experiment tests whether a cholesterol medication lowers the overall blood pressure for male patients. The control group has ten male patients and the treatment group, which receives the medication, has 10 male patients. All patients started with a cholesterol level of 245 mg/dL. Cholesterol in mg/dL Control 241 243 242 245 250 248 246 245 242 247 Treatment 230 225 220 218 224 240 232 221 235 224 Did the cholesterol medication lower the cholesterol levels? Yes. The treatment group had a lower level of cholesterol overall. No. The treatment group had the same level of cholesterol overall. Yes. The control group had a lower level of cholesterol overall. No. The treatment group had a higher level of cholesterol overall. ( Algebra 2 Making inferences from experiments )
Answers
The mean of the new control group is 237.4.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
The given data is 225 248 221 242 235 246 250 224 241 242.
Now, the mean is
(225+248+221+242+235+246+250+224+241+242)/10
= 2374/10
= 237.4
Therefore, the mean of the new control group is 237.4.
To learn more about an arithmetic mean visit:
https://brainly.com/question/15196910.
#SPJ1
