Answer:
<em>x = 59</em>
Step-by-step explanation:
<u>Equations</u>
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
The image shows a four-sided polygon and its four angles measures, thus we sum them all and equate the sum to 360:
x + x + 2x + 3 + 2x + 3 = 360
Simplifying:
6x + 6 = 360
Subtracting 6:
6x = 354
Dividing by 6:
x = 354/6
x = 59
Answer:
a. Mean = 20
Sd = 4
b. Probability of X = 20 = 0.1960
Step-by-step explanation:
we have
n = 25
p = 80% = 0.8
mean = np
= 0.8 * 25
= 20
standard deviation = √np(1-p)
= √25*0.8(1-0.8)
=√4
= 2
probability that exactly 20 favours ban
it follows a binomial distribution
= 25C20 × 0.8²⁰ × 0.2⁵
= 53130 × 0.01153 × 0.00032
= 0.1960
Probability of X = 20 = 0.1960
