Answer:
0.0782 (7.82%)
Step-by-step explanation:
The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.
The PMF (Probability Mass Function) is

Where 
LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula

Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50
Answer:
J(-1,-2) --> J'(1,2)
K(2,-4)--> K'(-2,4)
V(4,-1)--> V'(-4,1)
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Answer:
(x+7)(x-7)
Step-by-step explanation:
x²-49
=x²-7²
=(x+7)(x-7)
Answer:
PQ ≈ 14.14 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = P (0, 4 ) and (x₂, y₂ ) = Q (10, - 6 )
PQ = 
= 
= 
= 
≈ 14.14 units ( to 2 dec. places )
No it is not proportional