The probability of obtaining a grid that does not have a 2-by-2 red square 16 2/3%
probability : The probability of an event can be calculated by means of probability formula via honestly dividing the favorable quantity of outcomes by way of the total variety of viable consequences.
<u>Step-by using-step clarification:</u>
<u>given that:</u>
form are both square or circle with both equally likely :
for this reason,
P(square) = half of ; P(circle) = half of
color are either blue, pink or inexperienced with the 3 equally likely ;
P(purple) = 1/3 ; P(green) = 1/three ; P(blue) = 1/three
chance of creating a inexperienced circle :
independent probability
P(green n circle) = p(inexperienced) * p(circle)
P(green n circle) = 1/3 * half of
P(green n circle) = 1/6
= 0.16666
(0.16666 * 100%) = 16.6666%
= 16 2/3%
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Answer:
48/37 + (8/37)i.
Step-by-step explanation:
8 / (6 - i)
We multiply top and bottom of the fraction by the conjugate of 6 - i , which is 6 + [email protected]
= 8*(6 + i) / (6 - i)(6 + i)
= 48 + 8i / (36 + 6i - 6i - i^2)
= 48 + 8i / (36 - (-1))
= 48 + 8i / 37
= 48/37 + (8/37)i.
First you make them fractions that have the same denominator. 12 can be the denominator, because 6 5/12 already has that denominator and to get 2 2/3 to have a denominator of 12, you multiply the numerator and denominator by 4 (3•4=12, but you have to do the same thing to the top and bottom of the fraction). You then have the equation
6 5/12- 2 8/12. Since you cant subtract 8/12 from 5/12, you turn the numbers into improper fractions, which would be
77/12 - 32/12. You subtract them and get 45/12. You then have to simplify it again, 12 can go into 45, 3 times and you would have 3 and 9/12. 9/12 can be simplified down to 3/4. So the answer would be 3 3/4.
Answer: 1/(Y^2) or if you want in y^n is y^2
apply exponents law (a^b) ^c = a^b c
take off the parenthesis
1/2 · 4
1 · 4/(2)
4/2
divide it
4/2= 2, nevertheless it become -2
y^-2
1/(y^2)
