The probability is (0.10 * 0.50 + 0.01 * 0.20 + 0.89 * 0.01) * 100% = 6.09%.
Answer:
3/4
Step-by-step explanation:
The GCF of 42 and 56 is 14. If you divide both the numerator and the denominator by 14 we get 3/4 = 0.75 or 75%
The range of possible values for the volume of the boxes would be 1200 - 1800 cubic inches
The dimensions of the rectangular cardboard boxes are given as
Case I
Length = 20 inches
breadth = 15 inches
Height = 4 inches
Volume of the rectangular cardboard box in case I = Length x breadth x breadth
= 20 x 15 x 4
= 1200 cubic inches
Similarly,
Case II
Length = 20 inches
breadth = 15 inches
Height = 6 inches
Volume of the rectangular cardboard box in case I = Length x breadth x breadth
= 20 x 15 x 6
= 1800 cubic inches
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Expand (x - 4)²
(x - 4) (x - 4) = x² - 4x - 4x + 16
x² - 8x +16
We are asked to write the following fraction of complex numbers in standard form:

.
Whenever we are dividing by a complex number by another complex number a+bi, to write the result in standard form, we multiply the expressions in the numerator and denominator by the conjugate of a+bi, that is a-bi:

in the numerator we distribute (3-i) to 1 and -5i, in the denominator we use the difference of squares formula

, and

:


Answer: D