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
A. 36 square units
(Please tell me if I’m right in the comments)
Have a wonderful day!
(f+g)(x) = f(x) + g(x)
(f+g)(x) = [ f(x) ] + [ g(x) ]
(f+g)(x) = [ 3x-2 ] + [ 2x+1 ]
(f+g)(x) = (3x+2x) + (-2+1)
(f+g)(x) = 5x - 1
Answer is choice B
Answer:
64
Step-by-step explanation:
Perfect squares are integers multiplied by themselves.
- 2 times 2 = 4
- 3 times 3 = 9
- 4 times 4 = 15
The closest perfect squares to 54 are 49 (7^2) and 64 (8^2).
49 is less than 54, so that's ruled out.
Therefore, the closest perfect square to 54 that is greater than it is 64.
