Answer:

Step-by-step explanation:
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so

substitute the given values

solve for x


Find the angle measurements



Answer:
2 +i
Step-by-step explanation:
-3+6i-(-5-3i)-8i
Distribute the minus sign
-3 +6i +5 +3i -8i
Combine like terms
-3+5 +6i +3i -8i
2 +i
Answer: the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
Step-by-step explanation:
Given that;
p = 10% = 0.1
so let q = 1 - p = 1 - 0.1 = 0.9
n = 818
μ = np = 818 × 0.1 = 81.8
α = √(npq) = √( 818 × 0.1 × 0.9 ) = √73.62 = 8.58
Now to find P( x < 100)
we say;
Z = (X-μ / α) = ((100-81.8) / 8.58) = 18.2 / 8.58 = 2.12
P(x<100) = P(z < 2.12)
from z-score table
P(z < 2.12) = 0.9830
Therefore the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
Here we can use fact than we can multiply fraction by inverse of fraction instead of dividing it.
Inverse of 1/3 is 3/1
Lets multiply it

- its our result