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
Answer:
6 hours 30 minutes
Step-by-step explanation:
morning work=3 hours 45 minutes
afternoon work=2 hours 45 minutes
total hours=?
Here,
3 hours 45 minutes+2 hours 45 minutes
=6 hours 30 minutes
Therefore,Terry Baelett worked 6hours 30 minutes a day.
An isosceles triangle can be a right, acute, or obtuse triangle
Answer:
hello : coordinate pair is: (5 ; 1)
Step-by-step explanation:
you have this system :
5x - 3y=22 ......(1)
-4x + y= -19.....(2)
by (2) : y = 4x -19
put y in (1) : 5x - 3 (4x -19) =22
5x -12x +57 = 22
- 7x = -35
x = 5
but : y = 4x -19 so : y = 4(5) -19 = 1
coordinate pair is: (5 ; 1)