Carlotta is making blue and orange necklaces in several lengths. For each necklace, her ratio of blue beads to orange beads is 3
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When you multiply two complex numbers given in polar form, the argument of the product is the sum of the arguments of the factors. Meanwhile, the modulus of the product is the product of the moduli of the factors.
In this case, you'd have
and the modulus would simply be
. Since
we would expect the final product to fall in the first quadrant.
In this case, you'd have
and the modulus would simply be
we would expect the final product to fall in the first quadrant.
A door alarm works in 72 out of 100 cases.
surveillance camera works in 68 out of 100 cases.
The probability that method A is used = 72/100
The probability that method B is used = 68/100
Since both method are used we find the probability of A and B
Probability ( A and B) = *
=