This is a binomial distribution with n = 5, p = 0.55, q = 1 - 0.55 = 0.45, x = 0, 1, 2, 3
P(x) = nCx p^x q^(n - x)
P(x ≤ 3) = 1 - P(x > 3) = 1 - [P(4) + P(5)]
P(4) = 5C4 x (0.55)^4 x (0.45) = 0.2059
P(5) = 5C5 x (0.55)^5 x 1 = 0.0503
P(x ≤ 3) = 1 - (0.2059 + 0.0503) = 1 - 0.2562 = 0.7438
(0.75 * 3.5a) + (0.75 * -6b) = 2.63a -4.5b
Answer:
<h3><u>x = 18</u></h3>
Explanation:
- Line E B C Needs To Equal 180°
3x + 5 + 3x + 4 + 3x + 9 = 180
- Simplify Both Sides Of The Equation
(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)
9x + 18 = 180
9x + 18 = 180
- Subtract 18 From Both Sides
9x + 18 − 18 = 180 − 18
9x = 162
Divide Both Sides By 9
9x / 9 = 162 / 9
<h3><u>x = 18</u></h3>