Probability theory A point is randomly selected in the figure Q={(x,y): -3y+2 if  (x,y)  are the coordinates of this point.

Q: 9. Given the rectangular image to the right: a) find the equation of the line that slices the…

A: a) is correct x+y=2 b) is incorrect.   Please find steps below. Probability of shaded area = (Area…

Q: Let u = (-6,1) and let v = (6,-3). Find the value of u ÷ v

A: If we have two real numbers x and y  x/y=z ; Only is yz=x Similarly

Q: Find the area of a triangle formed by the points (8, – 5), – 7) and (5, 1) by using Herones formula…

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Q: What are first and second coefficient of skewness

A: Skewness is a measure that indicates the asymmetry in the distribution of data. The distribution of…

Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

A: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

Q: Due to heavy rainfall and waterlogging, only a few vehicles are seen on the road. Check the…

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Q: A(3;-3) B(2;5) midpoint

A: Solution-  Given  x1= 3, y1=-3 x2= 2, y2=5 Mid point formula is given by Xm = (x1+x2)/2 Ym=…

Q: Solve for points (-2,0) , (0,2) , (2,3)

A:

Q: State and give an example of Mean Value Theorem

A: The objective is to state and give an example of Mean Value Theorem.

Q: Determine the vertex of the function y=-2x2- 20x-51 O A) (2, -51) O B) (-5, -1) O C) (-2, -51) O D)…

A: Option (B) is correct.

Q: Plot the following six points: (- 5, 4) (1, 3) (- 2, – 1) (4, 0) (2, – 3) (0, - 2)

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Q: Which open interval corresponds to the open ball B(-3, 0.5)?

A: Solution:  We know that on real Line, the open balls are defined by  B(x,∈)=x-ε,x+ε    ....(1) where…

Q: 6) ) x-4 y=-x+1 A) (3,-3), B) (43)

A:

Q: A large puddle in a field has waves in it on a windy day. The data below gives the depth "d" of the…

A: As per the question we will use desmos to solve the questionAt first we will plot the data points…

Q: Determine the point. 1(E)=(_ H- OD OB OF O E

A: Topic- scaling and dilation

Q: Write as a line ar Combination of V, ,Vz,V3 where V= (1,5,4) ,V, =(1,3,-2),Vz=(2,7,-1) Vz=(1,6,7)

A: The given vectors are: v=1, 5, 4, v1=1, 3, -2, v2=2, 7, -1 and v3=1, 6, 7 Write the vector v as a…

Q: A line passes through the points (-3, 4), (7, -2), and (17, y). What is the value of y?

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Q: Which ordered pair would be a point on the line y= 3x -5? A) (0,0) B) (2,-1) (C) (-1, -8) D) (5, -5)

A: The solution is :

Q: can you explain more about how you get fxx, fxy, and fyy

A: Given: The given function is Px,y=e9x+10y-x2-y2-33. Also,  Px=9-2x·e9x+10y-x2-y2-33…

Q: V=(2,7,10),V%=(1,2,3), Vz (1,3,5),Vz=(1,5,9)

A: Let V=aV1+bV2 +cV3 where a, b and c are constants.

Q: (- 00 ,a) is measurable.

A: Given a statement

Q: goes through the points (-3,2) and (8,2)

A: The equation of a straight line is the common relation between the x-coordinate and y-coordinate of…

Q: Find the coordinates of P

A: Given: To find the  coordinates of P(x,y) in the unit circle