Answer:
minimum
Step-by-step explanation:
Answer:
Probability that at least 490 do not result in birth defects = 0.1076
Step-by-step explanation:
Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.
To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects
Proof -
Given that,
P(birth that result in a birth defect) = 1/33
P(birth that not result in a birth defect) = 1 - 1/33 = 32/33
Now,
Given that, n = 500
X = Number of birth that does not result in birth defects
Now,
P(X ≥ 490) =
= + .......+
= 0.04541 + ......+0.0000002079
= 0.1076
⇒Probability that at least 490 do not result in birth defects = 0.1076
Clockwise moments = Anticlockwise moments
Call the force you apply horizontally to the top left side of the square N.
W = 510 acting from the centre as the mass is distributed evenly.
Take moments about a pivot, in this case the bottom right corner is the pivot.
The clockwise moment is N and the anticlockwise moment is W.
N*x*sqrt(2) = 510*x/2
205x =Nx*sqrt(2)
205 = N*sqrt(2)
N = 205/sqrt(2)
B) 1/4
Explanation - I’m smart
The answer:
The width is 7cm