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As the equation is already in <em>y</em>=<em>mx</em>+<em>b</em>, all we need to do is use the equation to draw out a graph (or in this case, match with an already existing graph) using the y-intercept and slope. Since the y-intercept is 5, we can eliminate graphs C and D from our answers. We know the slope is -4, which means that our rise over run is -4 over 1. That would mean, to get from one point to the next, you go down 4 spaces and to the right one. This means the correct answer is graph B.
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%
5/12
Explanation: 1/2 minus 1/12 then make them both 12’s for the denominator so it would be 6/12-1/12=5/12
