Answer:
99.9973 %
Step-by-step explanation:
This is a binomial probability distribution.
Since the probability of satisfactory welds = 97% = 0.97 and the probability of defective welds = 3% = 0.03.
Since there are 3 welds and we require at least one being defective, our binomial probability is
P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - P(0) = 1 - ³C₀(0.03)³(0.97)⁰ = 1 - 1 × 0.000027 × 1 = 1 - 0.000027 = 0.999973 × 100% = 99.9973%
If there are 400 silver dollars in all, and there are 275 in one bag, to find the amount in the other bag, just subtract:
400-275=125
There are 125 in the other bag.
Answer:
)165.05
Step-by-step explanation:
7.25²=52.56
52.56*3.14=165.05
Answer: Volume=502.7 oz
Explanation: We need to find the volume of this cylinder to answer the question.
The general formula for the volume of a cylinder is V=πr^2h
Substituting gives us V=π*8*20, then V=160π and finally V=502.6548246 oz cubed
Answer:
The assumption to prove that vertical angles are congruent is "Vertical angles are always congruent".
Step-by-step explanation:
Vertical angles are a pair of angles (not adjacent) opposite each other by a vertex when two lines intersect.
When two lines intercept at a point, 4 angles are formed. Those that are opposite to each other and are not adjacent are vertical angles, these are always congruent.
In this case, we can affirm that if two angles are opposed by the vertex, they are equal.
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