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
The equation of the line in point-slope form is equal to
The equation of the line in standard form is equal to
step 1
Find the slope m
Let
step 2
convert to standard form
Answer:
(x-7) (x-8)
Step-by-step explanation:
Break the expression into groups:
= x(x-7) -8(x-7)
Factor out x from:
x^2-7x x(x-7)
Factor out -8 from -8x+56:
-8(x-7)
=x\left(x-7\right)-8\left(x-7\right)
