Answer:
Probability of no one picking up a defective product = 571 / 1540
Step-by-step explanation:
Total number of items = 22
non-defective items = 22-3 = 19
Probability of all three picking up non-defective products
= 19/22 * 18/21 * 17/20
= 969/1540
Probability of at least one picking up a defective product
= 1 - 969/1540
= 571/1540
(=0.371, approx.)
Answer:
1 m/s
Step-by-step explanation:
the area of the triangle = A = ¹/₂ab
where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²
now we find the derivative of both sides:
dA/dt = ¹/₂ ⋅ dx²/dt
dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt
dA/dt = x ⋅ dx/dt = x ⋅ velocity
we are told that x = 5 m, and dA/dt = 5 m²/s
velocity = dA/dt / x
velocity = 5 m²/s / 5 m = 1 m/s
Answer:
C
Step-by-step explanation:
I hope i got it correct :)
Answer:
31/14
Step-by-step explanation:
We first need to get common denominators, so we multiply the 16 and the 7 by 2, to get 32/12. Now we can subtract since the fractions have common denominators. After subtracting we get 31/14 or 2 3/14. Hope this helps!
Answer:
<h2>m = 21, b = 5 → y = 21x + 5</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept → (0, b)</em>
The formula of a slope:
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From the table we have y-intercept (0, 5) → <em>b = 5 </em>and other point (1, 26).
Calculate the slope:
