Simply multiply each value of the discrete random variable by the probability associated with that value to obtain the expected value, E(X), or mean. E(X)=xP is the formula's notation (x).
How do you find ex and Var X?
It is common to refer to the long-term average or mean (symbolized as ) as the expected value of a discrete random variable X, denoted by the symbol E(X).
Thus, if you conducted an experiment again throughout time, you could anticipate this average result. If you toss three fair coins, for instance, let X be the number of heads you receive.
The expected value of X is the average number of heads you would anticipate receiving after three fair coin tosses if you were to perform this experiment a significant number of times.
f(x) = 4x³,0 < x < 1
Domain of f(x) = 4x³,0 < x < 1 : Solution : 0 < x < 1
Interval notation : (0,1)
Range of 4x³ ,0 < x < 1;
Solution : 0 < f(x) < 4
Interval Notation : (0,4)
Axis interception points of 4x³,0 <x <1.
Asymptotes of 4x³. 0 < x < 1;
Extreme Points of 4x³ . 0<x < 1:
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the table and the graph represent two drones' distances from the ground. y, as a function of time, x. what is the rate of change Drone A
The rate of change is -2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the table,
(0, 42), (1, 40) and (2, 38)
Rate of change of drone A.
= (40 - 42) / (1 - 0)
= -2/1
= -2
Thus,
-2 is the rate of change.
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Amir buys a car for £11985 which depreciates in value at a rate of 4.25% per year.
Work out how much Amir's car will be worth in 5 years.
The amount that Amir's car will be worth in 5 years is £9, 645. 09
How to determine the valueFrom the information given, we have that;
£11985 is the initial amount4.25% is the rate of depreciationFor the first year, we have;
= £11985 × 4.25/100
= £509. 36
For the second year
= £ 11475 × 0. 0425
= £487. 71
For the third year
= £10, 987. 28 × 0. 0425
= £466. 96
For the fourth year
= £10, 520.32 × 0. 0425
= £447. 1136
For the fifth year
= £ 10. 073. 20 × 0. 0425
= £428. 111
Hence, the value is £9, 645. 09
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Pls hepl mathnation chech your understanding 7.3.7pls
The required area model is shown in the figure, as per the given expression.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Area model of the expression x² + x - 56 is formed as,
factorize the given expression
x² + x -56= (x + 8)(x - 7)
Thus, the required area model is shown in the figure, as per the given expression.
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verify functional continuity and derivative continuity (slope smoothness) between the device saturated and device active segments of the
Functional continuity and derivative continuity (slope smoothness) between the device saturated and device active segments is the value of V12, VOL and Vhr, Vih and Get the NM2 & NmH
What is Functions?
Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Suppose the threshold vintage of N- mas is VTO
(i) Vin < VTO – Cat of f
(ii) VTO < Vin < V out – Saturation
(iii) Vin > V out + VTO – Liniar
When N-Nos is in Liniar
IR = Kn/2 { 2.(Vin-VTO). V out – V2out }
Cat calculation of VOH,
V out = V Do – RL- IR
When Vin is Low, i.p. Vin <Vto, the M mess is Off Home ID = IR = O
Calculation of VOL,
Let us assume Vin = VoH
= VDo
Since Vin – VTO > V Out, the Transitar is in Lininers,
IR= VDo – V out
Off have IO = IR = o
Calculation of VOL,
Let us assume Vin = VOH = VDO
Since Vin – VTO > V out, the Transifar is in Linears,
IR= VDO – V Out / R2
Using KCL – IR = IO
VDO – VOL / R2 = Kn/2 { 2(VOD - VTo ) . Vo2 – VOL2}
Vol2 – 2 .{ VOD – VTO + 1/KnR2 } VOL + 2/KnRL . VDD = 0
On Solving for VOL,
VOL = VDD = VTO + 1/KnRL - /- ( VDD – VTO + 1/KNR2 ) 2 – 2VDD/KnR2
D Vot/DVin = 1
For VOCD > Vin – VTO; The N-Mas in Saturation
VDD – V Out /R2 = Kn/2 ( Vin – VTO ) 2
-1/R2 . D V out / D Vin = Kn( Vin – Vto ) put Vin = Vin
-1/RL ( -1) = Kn( Vin – Vto )
Calculation of Visit :-
Put D V out / D Vin = -1
When V Out < Vin – Vto: M- mas Linier
Vdd – V out / RL = Kn/2 { 2- ( Vin –Vto ) Vout – V2 out }
Differtatyboth side by d Vin:
-1/RL – D Vout/D Vin = kn/2 { 2.( Vin – Vto) D v out /d Vin
= 2 vat . Dat/dxt
Vdd – V out /R2 = Kn/2 { 2. ( Vin – VTO) V out – V2 Out }
Diffent Both side by D Vin .
-1/RL. DV out/DVin = Kn/2 {2. (Vin – Vto) Dv out / D vin + 2 vat .dat/Dithal ------- ( i)
Put dV out/D vin = -1
Put Vin = VTT
-1/RL (-1) = Kn{( Vin – Vto ) – (-1) +2 V out }
VTH = Vto +2 V out -1 / Kn RL ----------(II)
Now Put the Value of Vin From ( II ) in ( I) in the Place of Vin.
Then
Vin = Vto + 8/3 VDo/KnRL – 1/knRL
Now ,Nasie Margin :-
NM2 = V12 – Vol
NMH = Vas – Vin
Substitute the value of V12, VOL and Vhr, Vih and Get the NM2 & NmH.
The value of V12, VOL and Vhr, Vih and Get the NM2 & NmH between the device saturated and device active segments is functional continuity and derivative continuity (slope smoothness).
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The graph shows the amount of rainfall in Miami over s two hour period. If the rain continues to fall at this rate, What will be the total rainfall after 5 hours? Explain how you calculated your answer
Therefore , the solution of the given problem of fraction comes out to be the rainfall continues to fall at a rate of 50mm.
A fraction is what?Any number of equal amounts or fractions can be used to represent a whole. In standard English, the quantity of a certain size is stated as a fraction. 8, 3/4. Wholes also include fractions. Numbers are represented in mathematics by the fraction to numerator ratio. These are all straightforward integer fractions. There is a fraction in the denominator of a difficult fraction. because the calculations, numerators, and numerators of actual fractions vary.
Here,
the amount of rainfall in Miami over s two hour period. If the rain continues to fall at this rate,
=> Radius
=> fraction = 127/2 =63.5 mm
=> 2 hours rainfall
Per hour rainfall = 10 mm
=> After 5 hours
=> 50 mm
So,
the rainfall continues to fall at a rate of 50mm.
Therefore , the solution of the given problem of fraction comes out to be the rainfall continues to fall at a rate of 50mm.
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Consider the given circles.
Order the sectors from least to greatest according to their areas, in square units?
Note that according to the areas of the circles in square units, the circles ordered from the least to the greatest is:
Area of a circle with a Diameter of 19Area of a circle with Circumference 87.92 unitsa circle with an area of 1,040.09 square units.a circle with a radius of 27 units.What is the Justification for the above arrangement?To determine the correct order, we need to solve for the areas of all the circles given the various factors provided.
A) a circle with an area of 1,040.09 square units. (Area given)
B) a circle with a radius of 27 units
Area where radius is given is computed using:
A = πr²
A = π * 27²
A [tex]\approx[/tex] 2290.22
C) a circle with a circumference of 87.92 units
Since Circumference is given:
A = C²/4π
Where C = Circumference
Thus A = 87.92²/*4*π)
A [tex]\approx[/tex] 615.13
D) a circle with a diameter of 19 units.
Area, where the diameter is given, is:
A = 1/4 πd²
A = 1/4 * π * 19²
A [tex]\approx[/tex] 283.53
Thus, it is correct to state that the order of the Areas of the Circles given from least to greatest is:
Area of a circle with a Diameter of 19
a circle with a radius of 27 units.
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Full Question:
Place the circles in order from the circle with the smallest area to the circle with the largest area
* a circle with a area of 1,040.09 square units.
* a circle with a radius of 27 units
*a circle with a circumference of 87.92 units
*a circle with a diameter of 19 units.
HELP pls show work also WILL MARK BRAINLIEST IF CORRECT
Answer:
Below
Step-by-step explanation:
Company 1 charges 9.25 for 2.5 pounds and 14.50 for 6 pounds
so (6-2.5) pounds costs (14.50 - 9.25)
3.5 pounds cost an increase of 5.25
5.25 dollars / 3.5 pounds = 1.50 per pound
Company 2 's rate is the slope of the line = (7.25-6.50)/ 1 = .75 dollar per pound ( found by looking at the cost of 1 pound and the cost of 2 pounds)
Fixed cost for company 2 is the value where x = 0......the y-axis intercept = $ 5.75
Answer:
Step-by-step explanation:
Company 1: find constant rate = Δy/Δx, from any two (x,y) pairs on the data table
Constant rate = (14.50 - 9.25) / (9.25 - 2.5) = 1.5
Company 2 constant rate = $1.50/lb
Find the fixed fee for Company 1 by finding the y-intercept.
y - y1 = m(x - x1) Choose any (x,y) from the data table
y - 9.25 = 1.50(x - 2.5) Now put the equation in slope-intercept form.
y = 1.50x - 3.75 + 9.25
y = 1.50x + 5.50
Company 1 fixed fee = $5.50
Company 2: find the slope of the line to get the constant rate, pick any 2 points on the line.
m = Δy/Δx = (7.25 - 5.75) /(2 - 0) = 0.75
Company 2 constant rate = $0.75/lb
Find the fixed fee by finding the y-intercept on the graph (where the line intersects the y axis at x = 0)
Company 2 fixed fee = $5.75
A shop sells candles at Sx each and bath bombs at Sy each. (a) One day the shop sold 25 candles and 15 bath bombs. These sales totalled $680. Show that 5x + 3y = 136. (b) The next day the shop sold 16 candles and 18 bath bombs. These sales totalled $536. Show that 8x + 9y = 268. (c) Solve these simultaneous equations. 5x + 3y = 136 8x+9y = 268 (d) Calculate the difference in price between a candle and a bath bomb.
The most important details in this question are the three simultaneous equations: 5x + 3y = 136, 8x + 9y = 268, and the difference in price between a candle and a bath bomb. These equations can be solved by adding the equations together: 13x + 12y = 404, subtracting 5x and 8x from both sides of the equation:-3x/12 + y = 404/12, and substituting the values of x and y into the equation: Sx - Sy = -26.472.
What is a simultaneous equation?A simultaneous equation is a collection of two or more equations with two or more variables. Because they share variables, these equations must be solved together. In other words, the variables' values must fulfil all of the equations simultaneously.
(a) 5x + 3y = 136
Substitute the values given in the equation:
5(25) + 3(15) = 136
125 + 45 = 136
Simplify:
170 = 136
This equation is not true.
(b) 8x + 9y = 268
Substitute the values given in the equation:
8(16) + 9(18) = 268
128 + 162 = 268
Simplify:
290 = 268
This equation is not true.
(c) Solve these simultaneous equations.
5x + 3y = 136
8x + 9y = 268
Add the equations together:
13x + 12y = 404
Subtract 5x and 8x from both sides of the equation:
-3x + 12y = 404
Divide both sides of the equation by 12:
-3x/12 + y = 404/12
Simplify:
-1/4x + y = 33.67
Substitute this equation into the original equation:
5x + 3y = 136
5x + 3(33.67) = 136
Simplify:
5x + 100.01 = 136
Subtract 100.01 from both sides of the equation:
5x = 35.99
Divide both sides of the equation by 5:
x = 7.198
Substitute this value into one of the original equations:
5(7.198) + 3y = 136
Simplify:
35.99 + 3y = 136
Subtract 35.99 from both sides of the equation:
3y = 100.01
Divide both sides of the equation by 3:
y = 33.67
(d) Calculate the difference in price between a candle and a bath bomb.
Substitute the values of x and y into the equation:
Sx - Sy = 7.198 - 33.67
Simplify:
Sx - Sy = -26.472
Therefore, the difference in price between a candle and a bath bomb is Sx - Sy = -26.472.
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Consider the following linear programming problem:Max Z = $300x1 + $100x2 s.t. 30X1 + 70x2 ≤ 210 20x1 + 10x2 ≤ 100 X1, X2 ≥ 0 What is maximum Z and the value of X1 and X2 at the optimal solution? a. Z = 1500; X1 = 5; and X2 = 0b. Z = 300; X1 = 0; and X2 = 3;c. Z = 1250: X1 = 3; and X2 = 3.5; d. Z=3000, X=-10, and X2 = 0: e. None of the above
Answer:none of the above
Step-by-step explanation:
The maximum Z is 1800 and the value of X₁ and X₂ at the optimal solution : X₁ = 5 and X₂ = 3.
The constraints for the linear programming problem:
30X₁ + 70X₂ ≤ 210
20X₁ + 10X₂ ≤ 100
X₁, X₂ ≥ 0
First we draw the graph for equations 30X₁ + 70X₂ = 210 and 20X₁ + 10X₂ = 100
Consider equation 30X₁ + 70X₂ = 210
For X₁ = 0,
70X₂ = 210
X₂ = 3
For X₂ = 0,
30X₁ = 210
X₁ = 7
This means, the line 30X₁ + 70X₂ = 210 passes through (0, 3) and (7, 0) as shown in the following graph.
So, 30X₁ + 70X₂ ≤ 210 includes the region below the line.
Consider equation 20X₁ + 10X₂ = 100
For X₁ = 0,
10X₂ = 100
X₂ = 10
For X₂ = 0,
20X₁ = 100
X₁ = 5
This means, the line 20X₁ + 10X₂ = 100 passes through points (0, 10) and (5, 0) as shown in the following graph.
so, an inequality 20X₁ + 10X₂ ≤ 100 includes the region below the line.
From the figure, (0, 3) and (5,0) are feasible corner points.
Thus the optimal solution is: X₁ = 5 and X₂ = 3
For X₁ = 5 and X₂ = 3,
Z = 300X₁ + 100X₂
Z = 300(5) + 100(3)
Z = 1500 + 300
Z = 1800
Therefore, the maximum value of Z is 1800
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3.3. about how long after shaking begins during the tangshan earthquake does it take the last building collapses? question 3 options: a. 1 minute b. 2 minutes c. 4 minutes d. 8 minutes
About two minutes long after shaking begins during the tangshan earthquake does it take the last building collapses.
At 3:42 am, an earthquake of magnitude 7.8 to 8.2 struck Tangshan, a Chinese industrial city of about one million people. The quake was particularly costly in terms of human life because most people slept in beds rather than outside the relatively safe streets. occurred along an unknown fault in the Cangdong fault system near the confluence of the The Tangshan fault is a north-northeast-trending strike-slip fault. An estimated 242,000 people died in Tangshan and surrounding areas, making the earthquake one of the deadliest in recorded history, with 300,000 killed in the Calcutta earthquake of 1737, believed dead in 1556. Shaanxi Province, where 830,000 people died of Chinese nationality. It lasted 23 seconds and destroyed 90% of Tangshan's buildings. At least 250,000 killed and 160,000 injured
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a cylindrical drinking glass has a diameter of 2.5 in. and is 5.5 in. tall. what is the volume of the drinking glass in cubic centimeters?
The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .
The cylinder is a three-dimensional shape having a circular base.
A cylinder can be seen as a set of circular disks that are stacked on one another.
The volume of a three-dimensional shape is equal to the amount of space occupied by that shape.
Now, think of a scenario where we need to calculate the amount of sugar that can be accommodated in a cylindrical box.
For any cylinder with base radius ‘r’, and height ‘h’, the volume will be base times the height.
Therefore, the cylinder’s volume of base radius ‘r’, and height ‘h’ = (area of base) × height of the cylinder
Since the base is the circle, it can be written as
Volume = πr^2 × h
Therefore, the volume of a cylinder = πr^2h cubic units.
diameter of 2.5 in
r = 2.5/2 in.
r = 1.25 in
r = 3.175 cm
cylindrical drinking glass 5.5 in. tall
h = 5.5 in.
h = 13.97cm
volume of the drinking glass
Volume = πr^2 × h
= π ( 3.175)^2 × 13.97 cm^3
= 442.4189 cm^3
The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .
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can someone please help me(10 points will give brainliest!!!)
a)The given expression is; x + 9/2
b) The smallest number is 0.104
What is a mathematical expression?A mathematical expression is a combination of numbers, variables, and operations that represents a mathematical relationship or equation. We are asked to renter the expression as shown into the box that have been given.
If we arrange the numbers in order, we can see that the decreasing order of the numbers would take the form;
104 > 10.4 > 1.04 > 0.104
Thus we can see that the number that is smallest is 0.104.
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The science club designs a series of posters that all have the same
four sections. Each poster measures 18 in. wide and 24 in. tall.
Look at the Description and Small Diagram sections. Label the
diagram to show the combined width of these two sections.
When the length of 2 section combined is 18 in
width is 12 in
When the length of 2 section combined is 24 in
width is 9 in
What is Rectangle ?A quadrilateral with four right angles is a rectangle. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
Rectangles have the following basic characteristics:
They are quadrilaterals.The opposing sides are level and parallel to one another.90 degrees is the angle of each interior.360 degrees is the total of all interior angles.The diagonals cut each other in half.The length of both diagonals is the same.The length of the poster is 24 in
The width of the poster is 18 in
The area of the poster = 24*18 = 432 in²
The area of each section of the poster is 432/4 = 108 in².
Length of each section is 24/2 = 12 in
Width of each section is 18/2 = 9 in
The total length when 2 sections are combined is 9 + 9 = 18 in
or, 12 + 12 = 24 in
When the length of 2 section combined is 18 in
width is (108*2)/18 = 12 in
When the length of 2 section combined is 24 in
width is (108*2)/24 = 9 in
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There are 5 questions on a math exam. Each question is worth twice as much as the question before it. The fifth question is worth 16 points. How much is the first question worth?
Answer:
1 point
Step-by-step explanation:
if each question is worth twice as much as the question before it , then the question before each question is half the value, then
5th question = 16
4th question = 16 ÷ 2 = 8
3rd question = 8 ÷ 2 = 4
2nd question = 4 ÷ 2 = 2
1st question = 2 ÷ 2 = 1
the first question is worth 1 point
Write the point-slope form of the equation of the line.
11) through: (6, 4); slope =1/2
12) through: (-7, 8) and (-3, 9)
Four spheres of radius 6 cm just fit inside a cylinder.
Calculate the volume inside the cylinder that is empty.
Leave your answer in terms of .
0000²
12 cm
Spheres
Vol = ²³
Answer:
576π cm³
Step-by-step explanation:
Find volume of 1 sphere:
V = 4/3πr³ = 4/3π(6)³ = 288π
Volume occupied by 4 spheres = 4(288π) = 1152π
Find volume of cylinder:
V = πr²h
h = 4(12) = 48 (4 spheres stacked inside the cylinder)
V = π(6)²(48) = 1728π
Empty space = (Volume-cylinder) - (Volume-4 spheres) = 1728π - 1152π = 576π
14. Find the missing side. Round to the nearest tenth. *
The missing side, which is 8.2 (rounded to the closest tenth), is indicated by the provided statement.
Give a mathematical definition of side?The leading edge that connects two vertices of a form or two-dimensional object is referred to as a side in geometry. To put it another way, in mathematics, a side is the vector that joins two points on a form. Here, the term "shape" refers to a two-dimensional (flat) form, such as a triangle, rectangle, or square.
Your hypotenuse is present. You require the inverse.
Sin = x/Hypotenuse
Sin27° = x/18
x = Sin27° * 18
x = 0.45 * 18
x = 8.17
x ≈ 8.2
As a result, side 8.2 is missing.
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WKST is a quadrilateral where m/K = (3x – 18)°,m/W = (15y + 6)°, and m/T = (2x + 6)°.
What is the value of y and mZS to classify WKST a parallelogram?
K
Note that for WKST to be a parallelogram, y must be equal to 8 and m∠S must be equal to 126°. Thus the correct option is (Option C).
What is a parallelogram?A parallelogram is a basic quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposing or facing sides are of equal length, and its opposite angles are of equal measure.
To justify the above answer, note that:
Since Opposite angles of a parallelogram are congruent, we have
∠W = ∠T
That is:
3x -18 = 2x +6
Collecting like terms over the equation sign, we have:
3x - 2x = 6 + 18
x = 24
Substituting x into the equation for ∠W = ∠T, we have:
3x -18 = 2x +6
3(24)-18 = 2(24) +6 =54
72-18 = 48 +6 = 54
Thus, the above expression is True. That is:
3x -18 = 54°; and
2x +6 = 54°.
Since The adjacent angle, W is supplementary to either of these, it means that:
∠W = 180° -∠E
⇒ 15y +6 = 180 -54
⇒ 15y = 120
y = 8
Thus, it is correct to state that the value of y and m∠S required to classify WKST as a parallelogram are:
y-8; ∠126° (Option C)
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Full Question:
See the attached image.
20 picture cards are to be divided in some ratio between Gini and Kimi. Which of these could be the ratio?
Answer:
Step-by-step explanation:
10
20 divide by 2=10
4/9-5/7(2/3x2/3) and the one who gets right gets 20 points
Answer:
0.12698412698
Step-by-step explanation:
Ron has a bag of marbles that contains blue, orange, and green marbles. The ratio of blue to orange to green is 4:2:1. If the bag contains 8 blue
marbles,
marbles are green.
Answer:
2 green
Step-by-step explanation:
The ratio of blue to green is 4 to 1 <===== there is 1/4th asmany green as blue.... so if there are 8 blue, there are only 2 green
What’s the answer!!!!
Answer:
Without rounding $24.58 alternately $24.95 would be a comparable price as well and would also fit the parameters.
Step-by-step explanation:
50 ÷ 6 = 8.33
$ 2.95 × 8.33 = $24.58
gavin and philip have a combined age of 31. gavin is 4 years older than twice philips age. how old are gavin and philip?
Match each system on the left with all words that describe the system on the right. Choices on the right can be used more than once
The solution for the given problem is X= -4, Y= -5.
How to substitute the values:First we will substitute into one of the equations: 2(3x-1)-6x=4
Then reduce the greatest common factor on both sides:3x-1-3x=2(i.e divide the above equation by 2)
The sum of two opposites equals 0: -1 =2
Rearrange unknown terms to the left side of the equation:
2y+x=6
4y+2x=12
Reorder the equation: x+2y=6
4y+2x =12
Again reorder the equation by taking x variable first : x+2y = 6, 2x+4y= 12
Reduce the greatest common factor on both sides of the equation:
Subtract the two equations:2y-(x+2y)=6-6
Remove parentheses:
Cancel one variable:0=6-6
The sum of two opposites equals 0:0=0
The system of equations has: infinte solutions
Substitute into one of the equations: :x+2x+3=-9
Rearrange unknown terms to the left side of the equation:
Combine like terms:3x=-9-3
Calculate the sum or difference:
Divide both sides of the equation by the coefficient of variable:x=-12/3
Cross out the common factor:x=-4
Substitute into one of the equations:-4+y=-9
Rearrange unknown terms to the left side of the equation: y=-9+4
Calculate the sum or difference: y=-5
Therefore, the solution of the given problem is x=-4, y=-5.
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Find the area of this circle. Use 3 for pi
Step-by-step explanation:
what do you not understand here ?
you got the formula, the numbers for the formula.
since you should use 3 for pi, this is a very simple calculation :
3×15² = 3×225 = 675 ft²
that's it.
Anita purchaed a new building for her buine. Being in the prime location, he decided to
make ome more money by putting up an advertiement ign for a rental ad income on the roof
of the buildin
Anita has acquired a new building, which is located in a prime location. She aims to generate additional income by putting up an advertisement sign for rental purposes on the roof of the building.
By placing an advertisement sign on the roof, Anita is making use of the building's prime location and visibility to attract potential tenants. The sign is a cost-effective way of advertising her building and helps to reach a large audience, who may be interested in renting a space in the building.
Additionally, the rental income generated from the advertisement sign will help to offset the costs of owning the building, making it a profitable investment for Anita in the long run. By utilizing all the resources at her disposal, she is making smart business decisions that will help her achieve her financial goals.
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The complete question is-
What is the plan of Anita for the new building that she purchased for her business?
which five values are graphed on a box plot? which five values are graphed on a box plot? min, quartile 1, median, quartile 3, max min, quintile 1, median, quintile 3, max min, quartile 1, mean, quartile 3, max min, quintile 1, mean, quintile 3, max
The five values which are required to graphed a box plot are as follow:
Option 1. Minimum , Quartile 1, Median, Quartile 3 , Maximum
The five values required to represent on the graph of box plot are :
Box plot is a way to represent the chart in graph form .In box plot represents the five values which includes central tendency.There are two outliers and one interquartile.Two outliers are Minimum and Maximum.Interquartile includes the quartile 1 → Median → quartile 3.Quartile 1 is 25 percentile, median is 50percentile and quartile 3 is 75 percentile.Therefore, the five values used to graphed on a box plot are:
Option 1. Minimum , Quartile 1, Median, Quartile 3 , Maximum
The above question is incomplete , the complete question is :
Which five values are graphed on a boxplot?
1. Min, Quartile 1, Median, Quartile 3. Max
2. Min. Quartile 1, Mean Quartile 3, Max
3. Min. Quintile 1, Median, Quintile 3. Max
4. Min. Quintile 1. Mean, Quintile 3, Max
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[PLEASE HELP!! WILL GIVE BRAINLIEST!]
Find the maximum and minimum points of the function y = 2 sin 2(x + π) + 3.
The required maximum and minimum points of the function y = 2 sin 2(x + π) + 3 is (-3π/4, 5) and (-π/4, 1). Option A is correct.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
Maximum and minimum points of the function y = 2 sin 2(x + π) + 3. can be determined by drawing the graph of the function, from the graph maximum of point of the function is (-3π/4, 5) and the minimum point is (-π/4, 1).
Thus, the required maximum and minimum points of the function y = 2 sin 2(x + π) + 3 is (-3π/4, 5) and (-π/4, 1). Option A is correct.
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The list shows the number of students on five different buses.
35,47,52,40,21
What is the mean absolute deviation of the number in the list?
The mean absolute deviation of the number in the list is 8.8
How to calculate the mean absolute deviation of the number in the list?Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. The formula for MAD is:
MAD =∑|x-m|/n
∑ is known as Sigma and means to sum up
| | are vertical bars that mean absolute value
x is each value
m is the mean
n is the total number of data points in your data set
Given: 35,47,52,40,21
n = 5
m = (35 + 47 + 52 + 40 + 21) /5 = 195/5 = 39
∑|x-m| = |35-39| + |47-39| + |52-39| + |40-39| + |21-39|
= 4 + 8 + 13 + 1 + 18 = 44
MAD =∑|x-m|/n = 44/5 = 8.8
Therefore, the mean absolute deviation of the number in the list is 8.8
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a triangle with integer sides has perimeter $12$. how many such non-congruent triangles are there? (a 3-4-5 triangle is considered congruent to a 3-5-4 triangle because we can reflect and rotate the triangles until they match up.)
In total, there are 5 non-congruent triangles with integer sides that have a perimeter of 12.
The number of such non-congruent triangles can be found by considering all possible combinations of sides that add up to 12.
We can start by finding all possible combinations of two sides, and then adding the third side to make the perimeter equal to 12.
For example, for the two sides with lengths 1 and 11, the third side must be equal to 0, which is not allowed in a triangle.
The combinations of two sides are:
(1, 11), (2, 10), (3, 9), (4, 8), (5, 7), (6, 6).
For the combination (1, 11), the third side cannot be greater than 10, so it is not a valid triangle.
For the combination (2, 10), the third side can have lengths 0, 1, or 2, but none of these values result in a valid triangle.
For the combination (3, 9), the third side can have length 0, 1, 2, or 3. The only value that results in a valid triangle is 3, so there is 1 such triangle.
For the combination (4, 8), the third side can have length 0, 1, 2, or 4. The only value that results in a valid triangle is 4, so there is 1 such triangle.
For the combination (5, 7), the third side can have length 0, 1, 2, 3, or 5. The only value that results in a valid triangle is 5, so there is 1 such triangle.
For the combination (6, 6), the third side can have length 0 or 6. The only value that results in a valid triangle is 6, so there is 1 such triangle.
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