Answer:
x = 4
Step-by-step explanation:
all angles in triangle add to 180
90+70=160
180-160=20
20÷5=4
The probability that all three of the selected vials have hairline cracks = 0.096
Total number of vials in the shipment = 62
Number of vials with hairline cracks = 14
Number of vials without hairline cracks = 48
Three from 62 vials are selected.
So total outcomes = 62C3
Number of possible outcomes for all 3 of selected vials have hairline cracks = 14C3, which is the number of favorable outcomes
Probability that all three of the selected vials have hairline cracks = Number of favorable outcomes/Total outcomes = 14C3/62C3 = 0.096
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The answer:
first of all, we should know that the expression of a vector V (a, b) can be written as follow:
V = r (Vx i + Vyj), where r is the length of the vector, it is r = sqrt(V²x + V²y)
Vx is the component lying on the x-axis and Vy on the y-axis
<span>v ⃗ lies in Quadrant II, means Vx is less than 0 (negative)
</span>
so Vx= -r sin30° and Vy= rcos30°
r= <span>‖v ⃗ ‖=4√3
</span>
so we have v = - 4√3sin30° i + 4√3 cos30° j
the components are
v(- 4√3sin30°, 4√3 cos30°) = (-2√3, 4√3 cos30°)
Well, the commission should total $1,800. This is one tenth of what he sells, so he must sell $18,000 value of merchandise.
Answer:
D) -9/4
Step-by-step explanation:
please refer to the picture I sent