Û = (-1, -1, -1)
^v = (2, 3, -5)
^v - û = (2 + 1, 3 + 1, -5 + 1) = (3, 4, -4)
Half way from ^v to ^(v - u) = ((3 - 2)/2, (4 - 3)/2, (-4 + 5)/2) = (1/2, 1/2, 1/2)
Halfway from û to ^v = ((2 + 1)/2, (3 + 1)/2, (-5 + 1)/2) = (3/2, 2, -2)
The required vector ^w = ((3/2 - 1/2), (2 - 1/2), (-2 - 1/2)) = (1, 1/2, -5/2)
Answer:
<h3>10</h3>
Step-by-step explanation:
If point I is on the line segment HJ, then HI+IJ = HJ
Given the parameters
H I = 2 x
H J = 4 x
IJ=4x−10
Substituting the given parameters into the formula;
2x+4x-10 = 4x
6x-10 = 4x
collect like terms
6x-4x = 10
2x = 10
divide both sides b 2;
2x/2 = 10/2
x = 5
Since IJ = 4x-10
Substitute x = 5 into IJ
IJ = 4(5)-10
IJ = 20-10
IJ = 10
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Answer:
(a) Not mutually exclusive
(b)80%
Step-by-step explanation:
Mutually Exclusive events are events which cannot occur at the same time. An example is walking forward and backward. When events are presented using Venn diagram, if the sets are disjoint, they are mutually exclusive, otherwise they are not.
(a)The given events "burger" and "fries" are not mutually exclusive since their intersection is not empty as can be seen from the attached Venn diagram.
(b) Probability that a randomly selected person from this sample bought a burger OR bought fries.
P(A or B)=
AB=1.5 m = 150 cm
BC=AB-AC
BC=150-4.4=145.6 cm = 1.456 m