Answer:
The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
Step-by-step explanation:
Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:
8 + 6 = 14
14 = 100
8 = X
8 x 100/14 = X
800/14 = X
57.14 = X
100 - 57.14 = 42.86
0.5714 ^ 3 = X
0.1865 = X
0.4286 ^ 3 = X
0.0787 = X
Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
I'm confused, the answers are larger than the trail?
The answer is 1/3...I got this question on I-ready and I hate when I don't pass a lesson...hope this will help you guys out.
<u>We'll assume the quadratic equation has real coefficients</u>
Answer:
<em>The other solution is x=1-8</em><em>i</em><em>.</em>
Step-by-step explanation:
<u>The Complex Conjugate Root Theorem</u>
if P(x) is a polynomial in x with <em>real coefficients</em>, and a + bi is a root of P(x) with a and b real numbers, then its complex conjugate a − bi is also a root of P(x).
The question does not specify if the quadratic equation has real coefficients, but we will assume that.
Given x=1+8i is one solution of the equation, the complex conjugate root theorem guarantees that the other solution must be x=1-8i.
