Y = xe^x
dy/dx(e^x x)=>use the product rule, d/dx(u v) = v*(du)/(dx)+u*(dv)/(dx), where u = e^x and v = x:
= e^x (d/dx(x))+x (d/dx(e^x))
y' = e^x x+ e^x
y'(0) = 1 => slope of the tangent
slope of the normal = -1
y - 0 = -1(x - 0)
y = -x => normal at origin
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%
It is 3 73/99
I just used a fraction calculator lol
B. No Histogram.
Part C:
Mean: 171.1
Median: 167.5
Mode: 164
Range: 51
Part D:
Minimum: 146
First Quartile: 164
Third Quartile: 186
Maximum: 197
E. No Box and Whisker Plot
Part F:
40th Percentile: 164.4
Answer:
it's 88 percent
Step-by-step explanation:
such as comparison informs consumers that 100 percent kf apple juice is 88 percent water
