Answer: B
<u>Step-by-step explanation:</u>
x³ - 3x² + 16x - 48 = 0
→ x²(x - 3) + 16(x - 3) = 0
→ (x² + 16) (x - 3) = 0
→ (x² - (-16)) (x - 3) = 0
→ (x - 4i)(x + 4i)(x - 3) = 0
→ x - 4i = 0 x + 4i = 0 x - 3 = 0
→ x = 4i x = -4i x = 3
2 imaginary roots and 1 real root
Answer:
x=100
Step-by-step explanation:
x+123=223
x=223-123
x=100
Answer:
0.19
Step-by-step explanation:
There are approximately .62 miles in a kilometer
Answer:
Step-by-step explanation:
Leaving leap years, a year contains 365 days.
For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

a) Probability that exactly 3 people have same birthday = 
Each day is independent of the other
And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = 
Expected value of days = np = 
b) Distinct birthdays is binomail with p =1/365 and n = 365
Hence
expected value = np =1
B because tangent is Opposite/hypotenuse. = 6/8 = 0.75