Y=2x and 5x-y=9 substitution
2 answers:
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The Pythagorean theorem is used to find the distance between two points. If that distance is "c", it satisfies the relation
... a² + b² = c²
where "a" and "b" are the horizontal and vertical differences between the point coordinates. Here,
... a = 7 - 3 = 4 . . . . horizontal difference
... b = 12 - 9 = 3 . . . . vertical difference
Then we have
... 4² + 3² = c² = 25
... c = √25 = 5
The length of AB is 5 units.
Answer:
a) Mean = 382.3 psi
Standard deviation = 20.8 psi
b) 392.7 psi
c) P(X<400)=0.8026
Step-by-step explanation:
a) The population mean can be estimated as equal to the mean of the sample, and the population standard deviation can be estimated from the sample standard deviation:
b) We start by searching for the z-value for the 95th percentile. This value is
z=1.645:
Then, the strength value below which 95% of all welds will have their strengths is:
c) We calculate the probability of X being equal or less than 400 as: