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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
1 mile = 1760 yards
Therefore,
5280 yards = 5280 / 1760 = 3 miles
Answer:
Answers A and B
Step-by-step explanation:
To divide fractions, you keep, change, flip. Keep the first fraction the same, 4/11. Change the division sign into a multiplication sign. Finally, find the reciprocal or "flip" the last fraction into 15/9. This makes the equation 4/11 x 15/9. Multiply across the top to get 60, and the bottom to get 99. This makes 60/99. Therefore, answer A is correct. Find some more equivelent fractions by multiplying or dividing the top and bottom by the same amount. In this proccess, you can find that answer B is also correct.
Answer:
Explanation:
There is a theorem in geometry that says:
In a circle, if two chords are equal in measure, then their corresponding minor arcs are equal in measure.
Those small tick marks on each of the chords means that they are equal in measure. So, following the theorem, the arcs are also equal in measure.
If they are equal and
arc AB = arc CB
arc AB = 24 feet
Then
arc CB = 24 feet
by substitution.