Answer: (c)
Step-by-step explanation:
Given
A person has a 30% chance of winning a lottery ticket.
Probability of not getting the lottery ticket is 70%
For person to win at fifth ticket, it must fail in first four
So, the probability associated with it is

Hence, option (c) is correct.
Answer:21 cm
Step-by-step explanation: The circle's circumference is 84 cm. 84 / 4 = 21. Therefore the length of the arc XY is 21 cm.
Equilateral triangle........................
Answer:
The correct option is;
f(x) = 3·sin x/8·π + 2
Step-by-step explanation:
The given parameters for the sinusoidal function are;
Amplitude of oscillation = 3
Frequency of oscillation = 1/8·π
Midline of oscillation= 2
The general form of sinusoidal equation is y = A·sin(B(x - C)) + D
Where;
A = The amplitude
B = The frequency
C = The horizontal shift
D = The midline or vertical shift
Substituting the given values into the general form of sinusoidal equation, we have;
f(x) = y = 3·sin(1/8·π(x - 0)) + 2 = 3·sin(x/8·π) + 2
Which gives;
f(x) = 3·sin(x/8·π) + 2.
Answer:
A, B, C, F
Step-by-step explanation:
A: Its is acute because it has 2 sides that are less than 90%
B: It is obtuse because there is 1 side that is over 90%
C: It has 2 equal sides.
F: 100% + 40% + 40% = 180%