Find the equation of the circle passing through the following points: (b) (-2,2), (2, 4) and (4,0)
Answers
The equation of the circle in general form is x² + y² - 2 · x - 2 · y - 8 = 0.
How to derive the equation of a circleIn this problem we need to derive the equation of a circle that contains three points: (x₁, y₁) = (- 2, 2), (x₂, y₂) = (2, 4), (x₃, y₃) = (4, 0). The general form of the equation of the circle is a second order polynomial of the form:
x² + y² + B · x + C · y + D = 0
Where B, C, D are real coefficients.
First, use the points to generate a system of linear equations:
- 2 · B + 2 · C + D = - 8
2 · B + 4 · C + D = - 20
4 · B + D = - 16
Second, resolve the system by means of numerical methods:
(B, C, D) = (- 2, - 2, - 8)
Third, write the general form of the equation is:
x² + y² - 2 · x - 2 · y - 8 = 0
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Related Questions
#35
On the real number line, what is the midpoint of
-3 and 11?
A. -5
B. 0
C. 4
D. 7
E. 14
Answers
Answer:
C. 4
Step-by-step explanation:
You want the midpoint between -3 and 11 on the number line.
MidpointThe midpoint is the average of the end point coordinates:
(-3 +11)/2 = 8/2 = 4
The midpoint is 4.
How many inches is there in 1/8th of a yard?
Answers
Answer:
4.5
Step-by-step explanation:
You calculate it. look 1 yard is 36 inches. so 1/8 of a yard is 36 divided by 8. 4.5!
if your heart rate is 120 beats per minute during strenuous exercise, what is the time per beat in units of seconds? 0.2 s/beat 0.4 s/beat 0.5 s/beat 0.6 s/beat
Answers
Therefore ,the heart beat the time per beat in units of seconds is 0.5s/beat.
What is equation ?
A well-formed equation in algebra unites two variables with the equals sign to indicate the equality of the two terms. An equation, for instance, is any well-formed formula that consists of two expressions joined by the equals sign in English. An équation, on the other hand, is described as consisting of one or more variables in French.
Here,
Given: your heart rate is 120 beats per minute during strenuous exercise
Thus to calculate time per beat in units of seconds
We,
time per second per beat = total second in a minute /heart rate
time per second per beat =60/120
time per second per beat =1/2
time per second per beat = 0.5 s/beat
Therefore ,the heart beat the time per beat in units of seconds is 0.5s/beat.
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Find the complex numbers
Answers
The complex numbers are
a. 11 - 3i
b. 2 + i
c. 5 - 6i
What is a complex number?A complex number is a number in the complex plane. It is written in the form r = a + bi where a and b are real numbers and i = √(-1). Also, a is the real part and ib is the complex part of the complex number
How to write the complex numbers?a. Given that the complex number is denoted by r = a + ib where
a = real part and ib = imaginary partSince we have for the given complex number
real part = 11 and complex part = -3iSo, r = real part + imaginary part = 11 + (-3i)
= 11 - 3i
So, the complex number is 11 - 3i
b. Given that the complex number is denoted by r = a + ib where
a = real part and ib = imaginary partSince we have for the given complex number
real part = 2 and imaginary part = iSo, r = real part + imaginary part = 2 + i
= 2 + i
So, the complex number is 2 + i
c. Given that the complex number is denoted by r = a + ib where
a = real part and ib = complex partSince we have for the given complex number
real part = 5 and imaginary part = -6√(-1)So, r = real part + imaginary part = 5 + [-6√(-1)]
= 5 - 6√(-1)
= 5 - 6i (since i = √(-1))
So, the complex number is 5 - 6i
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suppose that a person with seven friends invites a different subset of three friends to dinner every night for one week (seven days). how many ways can this be done so that all friends are included at least once?
Answers
We need to select different combinations of friends for a week and include every friend at least once. The possible number of ways is 72.
What do you mean by Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
What is the formula to calculate Combination?The formula for combination is as follows:
[tex]C(n,r) = \frac {n!}{r!(n-r)!}[/tex]
Number of for first 5 days = C(7,3)+C(6,3)+C(5,3)+C(4,3)+C(3,3)
=70
2 friends are remaining for last two days and we can assign them in any group of 3.
Total number of ways = 70 +2
=72
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Please I need help trying to answer this Simplify (z9z−5)−2.
Answers
Answer:
9z^2 -7
Step-by-step explanation:
(z9z−5)−2.
(9z^2−5)−2.
9z^2-5 -2
9z^2-7
Write the problem as a mathematical expression.
Multiply
z9 by z by adding the exponents.
Subtract
2 from −5 .
ANSWER:
z^10 − 7
what is the relationship between the variance and the standard deviation? a) variance is twice the standard deviation. b) variance is the square root of the standard deviation. c) there is no constant relationship between the variance and the standard deviation. d) variance is the square of the standard deviation.
Answers
The relationship between the variance and standard deviation is: option a)The standard deviation is the square root of the variance.
What is variance?The variance of a random variable from its true population or sample mean is expected in probability theory and statistics. The term "variance" refers to a measurement of how widely apart a group of numbers are from one another.
Here,
Variance and standard deviation are both measures of spread. They calculate the deviation of each data point from the mean. The range of data increases with increasing variation. Using the original unit of measurement, the standard deviation measures the same thing as the variance (whereas variance is the original unit squared).
Therefore ,The relationship between the variance and standard deviation is: option a)The standard deviation is the square root of the variance.
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find the dimensions of the rectangular corral split into 2 pens of the same size producing the greatest possible enclosed area given 300 feet of fencing.
Answers
The dimensions of the rectangular corral:
length = 75 ft and width = 5 ft
Let m be the length of the rectangular corral and n be the width of the rectangular corral.
The perimeter of the rectangular corral,
P = 2m + 2n
The rectangular corral split into 2 pens of the same size.
So, P = 2m + 3n
The 2 pens producing the greatest possible enclosed area given 300 feet of fencing.
300 = 2m + 3n
n = (300 - 2m)/3
Area of the rectangular corral,
A = m * n
A(n) = m * (300 - 2m)/3
A(m) = (300/3)*m - (2/3)*m
Taking derivatives on both sides of the equation:
A'(m) = 100 - (4/3)*m
for A'(m) = 0,
100 - (4/3)*m = 0
m = 100 * (3/4)
m = 75
So, n = (300 - 2(75))/3
n = 50
Therefore, the length of the rectangular corral = 75 ft and width = 5 ft
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(b) assume 90 companies were included in the sample. what is the test statistic? (round your answer to three decimal places.)
Answers
A shareholders' group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least nine years.
a) The hypotheses that can be used to challenge the validity of the claim made by the shareholders' group.
H₀ : u ≤ 9
Hₐ : u > 9
So, the correct option is option (A).
b) T- statistic value is -2.571 for a sample of 90 companies.
c) The critical value for t i.e P-value is 0.0059
d) P-value < α = 0.01, implies reject the null hypothesis. We can conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is not valid. So, the correct option is option(D).
We have given that,
x-bar= 7.27 , σ = 6.38, n = 90
a) Test that the mean tenure for a chief executive officer (CEO) was atleast nine years .
Null and alternative hypothesis is
H₀ : u <= 9
Hₐ : u > 9
b) test statistic:
t =( x-bar - μ ) /σ/√n
=> t = (7.27 - 9 )/6.38/90
=> t = - 1.73/0.67251
=> t = -2.571
c) P-value :
P-value = P( tₙ₋₁ < t) = P(t₉₀₋₁ < t )
=> P-value = P( t₈₉< - 2.571)
=>P-value = P( t₈₉ >2.571)
=> P-value = 1 - P( t₈₉< 2.571)
P-value = 1 - 0.9941 = 0.0059
d) Significance level, = 0.01
we see that p-value= 0.0059 < 0.01
Decision : Reject the null hypothesis H₀
We have no evidence to support the claim.
Hence, we calculate all the required result.
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Complete Question :
A shareholders' group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least nine years. A survey of companies reported in The Wall Street Journal found a sample mean tenure of x = 7.27 yearsfor CEOs with a standard deviation of
s = 6.38 years.
(a)Formulate hypotheses that can be used to challenge the validity of the claim made by the shareholders' group. multiple choice:
i)H0: μ ≤ 9
Ha: μ > 9
ii)H0: μ ≥ 9
Ha: μ < 9
iii) H0: μ > 9
Ha: μ ≤ 9
iv)H0: μ < 9
Ha: μ ≥ 9
v) H0: μ = 9
Ha: μ ≠ 9
(b)Assume 90 companies were included in the sample. What is the test statistic? (Round your answer to three decimal places.)
c)What is the p-value for your hypothesis test? (Round your answer to four decimal places.)
p-value =
(d) At = 0.01,what is your conclusion? MULTIPLE CHOICE:
Do not reject H0. We cannot conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is valid.Reject H0. We can conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is not valid.find the flux of the constant vector field v→=3i→ 2j→−5k→ through a square plate of area 25 in the xz-plane oriented in the positive y-direction.
Answers
The flux across a surface is an indicator of the rate at which fluid is flowing through it when there is a fluid flowing in three dimensions and a surface positioned inside that space.
What is Electric Flux?A feature of an electric field is electric flux. One way to conceptualize it is as the quantity of forces interacting in a specific space. According to conventional wisdom, electric field lines begin with positive electric charges and conclude with negative charges. A closed surface's field lines are seen as negative when they are directed into it, and as positive when they are directed out of it.Every field line that is directed into a closed surface continues through the interior and is often directed outward somewhere else on the surface if there is no net charge present within the surface. The net, or total, electric flux is zero because the size of the negative and positive fluxes are just about equal.A closed surface that contains a net charge will have a total flux that is proportional to the enclosed charge, positive if it is positive and negative if it is negative.To Learn more About flux across refer to:
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Answer:
The flux of the field through a square of 25 area whose plane is the xz-plane oriented in the positive y-direction.is 50
What is Flux?
Any effect that seems to pass through or move through a surface or substance is referred to as a flux, whether it actually flows or not. There are numerous applications of the concept of flux in applied mathematics and vector calculus. Flux, a vector quantity that describes the size and direction of the flow of a substance or attribute for transport phenomena. Flux is a scalar number in vector calculus, defined as the surface integral of a vector field's perpendicular component over a surface.
According to question
The flux of an field is given by,
ΦE = E.A = EA cos θ
where θ is the angle formed by the field lines and the normal (perpendicular) to the surface, S, and E, the magnitude of the field
vector field is v→=3i→ 2j→−5k→
Solving for each direction separately
Clearly
For i and k then flux is Zero because the angle b/w field and normal to surface is 90° and Cos(90) = 0
Now for j
E = 2
S = 25
θ = 0° (cos0° = 1)
Φ = EScosθ
= 2*25*1
= 50
Therefore, the flux of the field through a square of 25 area whose plane is the xz-plane oriented in the positive y-direction.is 50
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Use your calculator to evaluate a¯=−3.7meter/second−13.9meter/second21.4second−7.2second. Part A Average acceleration Use your calculator to evaluate -3.7 meter/second-13.9 meter/second 21.4 second-72…
Answers
The average acceleration is - 1.24 m/s². The result is calculated by using calculator. See the picture in the attachment!
What is average acceleration?Average acceleration is the rate of change in velocity per unit time. The formula can be expressed as
[tex]\overline{a} = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}[/tex]
Where
v₂ = final velocityv₁ = initial velocityt₂ = final timet₁ = initial timeCalculate this average acceleration using calculator!
[tex]\overline{a} = \frac{-3.7 \: m/s \: - 13.9 \: m/s}{21.4 \: s- 7.2 \: s}[/tex]
See the picture in the attachment!
The average acceleration after rounding is
[tex]\overline{a} = -1.23943661972 \: m/s \: /s[/tex]
[tex]\overline{a} = -1.24 \: m/s^{2}[/tex]
Hence, the average acceleration from the data is - 1.24 m/s².
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select the points that are solutions to the system of inequalities. Select all that apply.
Answers
The solution to the graph of the linear inequality is the point of intersection which is (-5, 3)
Graph of System of Linear InequalityA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system
In this problem, to find the solution to the system of linear inequality, we have to find the point of intersection. This gives the exact solution to the graph.
Looking at this graph, the point of intersection is (-5, 3)
The solution to the graph is (-5, 3)
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jared has a wooden board 11 ft long. he wants to cut it into two pieces so that the longer piece is 4 ft less than 4 times the length of the shorter piece. how long will each piece of board be? enter your answers in the boxes.
Answers
On solving we got that. he shorter pieces will therefore be 3 feet long and the longer pieces will therefore be 8 feet long.
What is equation?Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.
The lengths of the shorter and longer pieces of a board should be determined.
the case
Let's say that the shorter parts are x in length.
as stated
Jared has an 11-foot wooden board with him.
In order for the longer piece to be 4 feet less than 4 times as long as the shorter piece, he wants to cut it into two pieces.
The length of the longer pieces is then equal to 4x - 4.
The equation then becomes
[tex]x + 4x - 4 = 11\\ 5x = 11 + 4\\ 5x = 15\\ x = 3 ft[/tex]
The shorter pieces will therefore be 3 feet long.
The longer pieces' length -
[tex]4x - 4\\ = 4 X 3 - 4\\ = 12 - 4\\ = 8 ft[/tex]
The longer pieces will therefore be 8 feet long.
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26. Jeremy has a 20%-off coupon for his purchases at a store. His total purchases are $27.50 without
the coupon.
What is 20% off of Jeremy's purchases?
A. $1.38
B. $5.50
C. $7.50
D. $22.00
Answers
The 20% off of Jeremy's purchases is $5.50.
What is discount?
Discount is a noun that designates a sum or a portion taken off of a product's suggested retail price. Check to see if you really need all of that stuff before waiting until after the holiday to buy it. A good or service's price being reduced is referred to by the noun discount.
Given:
Jeremy has a 20%-off coupon for his purchases at a store.
His total purchases are $27.50 without the coupon.
We have to find the 20% off (discount) of Jeremy's purchases.
The 20% off on $27.50 is.
$27.50 x 20% = $27.50 x 0.20 = $5.50
Hence, the 20% off of Jeremy's purchases is $5.50.
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Which is the equation of a line that has a slope of 1 and passes through point (5, 3)?
Oy=x-2
Oy=x+2
Oy=x+3
Oy=x-5
Answers
Answer:
y = x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 1 , then
y = x + c ← is the partial equation
to find c substitute (5, 3 ), that is x = 5, y = 3 into the partial equation
3 = 5 + c ⇒ c = 3 - 5 = - 2
y = x - 2 ← equation of line
What is the value of x?
Answers
Answer:
x = 1
Step-by-step explanation:
Note that triangle ABC is congruent to triangle DEF by SAS congruency
Thus, using CPCTC, BC - FE
or
: 13x-12 = 7x-6
: 6x = 6
: x = 1
:]
What is the solution of this compound inequality?
Answers
Answer: -27≥x OR x>7
Step-by-step explanation:
[tex]\displaystyle\\a)\ -7\geq \frac{x}{3}+2 \\\\\-7-2\geq \frac{x}{3}+2-2\\\\ -9\geq \frac{x}{3} \\\\[/tex]
Multiply both parts of the equation by 3:
[tex]\displaystyle\\-9(3)\geq \frac{x}{3}(3)\\\\\boxed {-27\geq x}[/tex]
[tex]\displaystyle\\b)\ \frac{3x+1}{2} > 11[/tex]
Multiply both parts of the equation by 2:
[tex]\displaystyle\\\frac{3x+1}{2}(2) > 11(2)\\\\3x+1 > 22\\\\3x+1-1 > 22-1\\\\3x > 21[/tex]
Divide both parts of the equation by 3:
[tex]\boxed{x > 7}[/tex]
events x and y are independent of each other. if the probability of event x occurring is 1 in 4, and the probability of event y occurring is 1 in 5, the probability of both events occurring is ____.
Answers
The probability of both events occurring is 1/20.
What are examples and probability?
A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.
Events X and Y are independent.
The probability of X occurring is 1/4
The probability of Y occurring is 1/5
Since both events are independent, then we have
P(X and Y ) = P(X) * P(Y)
= 1/4 * 1/5
= 1/20
P( X and Y ) = 1/20
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Look carefully at the diagram.
The value of y is ___ °
Answers
The value of y in the triangle is 20°
How to find the value of y in the triangle?Consider the labeling on the image I attached
Since vertically opposite angles are equal. Thus:
x = 50°
Since the sum of angles on a straight line is 180°. Thus:
t + 70° = 180°
t = 180°-70°
t = 110°
Since the sum of angles in a triangle is 180°. Thus:
x + t + y = 180°
50 + 110 + y = 180°
160 + y = 180
y = 180 - 160
y = 20°
Therefore, the value of y is 20°
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2(x+ 5) = 3x +1 solve
Answers
Answer:
x= 9
Step-by-step explanation:
2(x + 5 ) = 3x + 1
expand the bracket first
2x + 10 = 3x + 1
then collect like terms
2x-3x = 1 - 10
-1x = - 9
and the last step is divide both side by -1
then x = 9
The total distance d, in meters, traveled by an object moving in a straight line can be modeled by a quadratic function that is defined in terms of t, where t is the time in seconds. At a time of 10.0 seconds, the total distance traveled by the object is 50.0 meters, and at a time of 20.0 seconds, the total distance traveled by the object is 200.0 meters. If the object was at a distance of 0 meters when t=0 then what is the total distance traveled, in meters, by the object after 30.0 seconds?
Answers
The total distance traveled by the object after 30.0 seconds is 450 meters.
Explain the term quadratic function?f(x) = ax2 + bx + c, for which a, b, and c represent constants and a = 0 represents a quadratic function. The function is known as the quadratic term (abbreviated as ax2), the linear term (abbreviated as bx), and the constant term (abbreviated as c).For the stated function;
Time = 10.0 seconds, distance = 50.0 meters.Time = 20.0 seconds, distance = 200.0 meters.Time = 0.0 seconds, distance = 0.0 meters.As, the total distance is modelled by the quadratic equation-
Let the quadratic equation be-
d = at² + bt + c
For (10, 50)
d = a(10)² + (10)b + c ....eq 1
For (20, 200)
d = a(20)² + (200)b + c ....eq 2
For (0, 0)
d = a(0)² + (0)b + c ....eq 3
Solving eq 1, 2 and 3
a = 1/2 ; b = 0 and c =0
Thus, equation for the distance travelled by the object is-
d = 1/2 t²
For t = 30. sec
d = 1/2 (30)²
d = 450 m
Thus, the total distance traveled by the object after 30.0 seconds is 450 meters.
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Which one is not criteria of congruence * ASA SAS AAS SSA?
Answers
Answer:
Step-by-step explanation:
well this makes no sese is there any pics
Eh I don't know ???
Picture should be shown...
#46. Find the slope?
Answers
Answer:
Step-by-step explanation:
The answer as I believe is H.
I just used the rise/run method, so you’ll go six up and 5 to the left ( the answer is negative because you’re moving to the left).
Hope this helps
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options.
Answers
The steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.
How to solve the equation by quadratic equation?x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.
The Following is the determination of the quadratic equation's solution;
2x² + 12x - 3 = 0
2x² + 12x = 3
multiply across by two
x² + 6x = ³/₂
Add the two sides of the equation after squarely multiplying the coefficient of x by half.
(x + 3)² = ³/₂ + 3² + 6x + 9 =
9 + ³/₂ (x² + 6x + 9)
= 18 + 3
Thus, the steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.
The complete question is : Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Check all that apply.
2(x2 + 6x + 9) = 3 + 18
2(x2 + 6x) = –3
2(x2 + =6x) = 3
x + 3 = 21/2
2(x2 + 6x + 9) = –3 + 9
(x + 3)2 = 6/2
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Avery had $25.27 in her wallet. If she bought lunch with 10.75% dollars from her wallet, how much money did she have in her wallet after lunch?
Answers
Answer:
$22.55
Step-by-step explanation:
Not 100% sure but you can double check...
three more than twice the sum of a number and half the number equals 105. which equation models this relationship?2 (x one-half x) 3 = 1052 x one-half x 3 = 1052 x 3 = one-half x 105
Answers
(x+x/2)*3=105 is the equation for "three times the sum of a number and half the number equals 105."
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical sentence with two equal sides separated by an equal sign is called an equation. 4 + 6 = 10 is an example of an equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.
Here,
Three more than twice the sum of a number and half the number equals 105,
The equation will be,
(x+x/2)*3=105
The equation for "Three more than twice the sum of a number and half the number equals 105" will be (x+x/2)*3=105.
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Find the points on the graph of the function that are closest to the given point.
f(x) = x2, (0,9)
(x,y) smaller value
(x,y) larger value
Answers
The locations on the function's graph that are most near the specified point f(x) = x2, (0,9) are approximately 3 units to the right and left, respectively, or (sqr8.5, 8.5).
The initial estimate would be rough to the right and left by around 3 units, or (sqr8.5, 8.5), rounded to the nearest decimal place.
Visually, it is most likely just below y=9 and just below x=3. Additionally, roughly (-3, 9) slightly lower than 3 and 9
Connect the parabola's nearest point to the point at (0,9). Where the two intersect, its slope is the negative inverse of the parabola's slope. The derivative's slope is 2x for the equation f(x) = x2. -1/2x is its inverse negative. The line from (0,9) to the parabola's nearest point has a slope that is perpendicular to the tangent to the parabola at that location.
Get the equation of the line joining (0,9) and the nearest point (x,y) on the parabola using the point-slope formula: 8.5 or y=-1/2 + 9 = (-1/2x)(x)
The closest point's y coordinate is that. The square root of 8.5, including both positive and negative square roots, is the closest point's x coordinate (-sqr8.5, 8.5)
Sqr8.5 =[tex]\sqrt{8.5}[/tex], or approximately 2.91 or -2.91
The process entails finding the equation for the line connecting (0,9) with the parabola's nearest point and then setting the two equations equal. Set the line equation to y=(-1/2x), the parabola equation. The parabola equation is y=[tex]x^{2}[/tex] and the line equation is x + 9.
Equalize them, then find x using the square of the result. The closest point is at x,y. There are two places that are equally far from (0,9), both of which are as close as they can be to 3 at (3,9). (0,9). At the parabola point, that line is not perpendicular to the tangent line (3,9). The line must be perpendicular to the tangent line, which is the slope of the parabola, in order to be closest.
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a contractor is considering a sale that promises a profit of 240000.0 dollars with a probability of 0.76 or a loss (due to bad weather, strikes, and such) of 20000.0 with a probability of 0.24. what is the expected profit?
Answers
The expected profit that the contractor will earn from the sale is equal to $177600.
Whenever a contactor does sale of a certain commodities, he expects that whatever he does he earns a profit from the sales. Profit is earned when the selling price of the commodity is more than the price at which the commodity was brought by the contractor.
The expected profit from the sale is calculated as the sum of the profits multiplied by their respective probabilities. In this case, the expected profit is given by:
Expected profit = (240000.0 * 0.76) + (-20000.0 * 0.24) = 182400.0 + (-4800.0) = $177,600
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In which of the following cases is the construction of a triangle ABC
possible?
(b) AB = 5 cm, BC = 7 cm. CA = 8 cm
(a) AB = 3 cm, BC = 4 cm, CA = | cm
(C) AB = 9 cm, BC = 4 cm, CA = 3 cm
(d) AB = 10 cm, BC = 7 cm, CA = 8 cm
Answers
Answer:
(b)
Step-by-step explanation:
According to the triangle inequality, the sum of any 2 sides of a triangle must be greater than the third side. The only case that satisfies this is option (b)
g a data analyst is working with the world happiness data in tableau. what tool do they use to select the area on the map representing finland? 1 point radial rectangular lasso pan
Answers
You can select numerous impressions with the Tableau Lasso Selection tool by tracing a freehand shape around them.
How do they choose the region on the map that Tableau uses to represent Finland? You can select numerous impressions with the Tableau Lasso Selection tool by tracing a freehand shape around them.To display only the nations with a World Happiness score of 3.5 or lower, utilize the Filter tool.By tracing a freehand form around several marks with the Lasso tool, you can choose a group of them.When you wish to include only some marks and eliminate others around them, this tool is helpful.Based on the common values, Tableau creates the view of blended data.For instance, Tableau will match data on "Purple" from the main and "Purple" from the secondary if Color is the linking field in both data sources.To learn more about Lasso Selection refer
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