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%
Answer:
<em>9%</em>
Step-by-step explanation:
Original rectangle: 100 cm by 200 cm
Original area: 100 cm * 200 cm = 20,000 cm^2
Reduced by 70%, the measures are now 30% of they they were.
30% of 100 cm = 30 cm
30% of 200 cm = 60 cm
New area: 30 cm * 60 cm = 1800 cm^3
New area equals what percent of original area?
1800/20,000 * 100 = 9%
Step-by-step explanation:
e = 20sin(πt/4 - π/2)
= 20[(sinπt/4)(cosπ/2) - (cosπt/4)(sinπ/2)]
Used sin(x - y) = sinxcosy - cosxsiny.
= 20[0 - cosπt/4]
Since cosπ/2 = 0 and sinπ/2 = 1.
= -20cosπt/4.
