Answer:
Step-by-step explanation:
Total marble = 4+6+7 = 17
Number of green = 7
Prob(1st green) = 7/17
Now their are 6 green left and 16 marble
Prob(2nd green) = 6/16 = 3/8
Now their are 5 green left and 15 marble
Prob(3rd green) = 5/15 = 1/3
Prob(1st and 2nd and 3rd green) will be = 7/17 × 3/8 × 1/3
= 7/(17×8)
= 7/136
The answer is B, if you substitute x with 0 1 or 2 the result will always be 0
u = 9 i - 6 j
v = -3 i - 2j
w = 19 i + 15 j
u • v = (9 i - 6 j) • (-3 i - 2j)
Distribute the dot products:
u • v = 9*(-3) (i • i) + 9*(-2) (i • j) + (-6)*(-3) (j • i) + (-6)*(-2) (j • j)
i and j are orthogonal unit vectors, so their dot products are 0, while i • i = j • j = 1. So we have
u • v = 9*(-3) + (-6)*(-2) = -27 + 12 = -15
In other words, the dot product can be computed by simply multiplying corresponding components, and taking the total.
u • w = 9*19 + (-6)*15 = 81
Answer:
912
Step-by-step explanation:
All that needs to be done is multiply both numbers they give you.
48 x 19= 912
The length of the infinite zigzag path is 1
<h3>How to determine the length</h3>
Note that the infinite zigzag path is embedded in an isosceles triangle
Using angle π/4, we have that
Tan π/4 = opposite/ adjacent
To find the longer part 'y', use the Pythagorean theorem
The length of the infinite zigzag path is the same as the length of the longer part of the triangle which equals 1.
Thus, the length of the infinite zigzag path is 1
Learn more about the Pythagorean theorem here:
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