Answer:
The correct option is E) About 1 in a million.
Step-by-step explanation:
Consider the provided information.
It is given that one in a hundred million people is a genius.
Let G represents the Genius and Q represents the quirky.
We need to find the probability that someone is acting quirky- what is the probability that they are a genius.
The probability that person is quirky is: 
The probability of 
Hence, the required probability is:
Which is near about 1 in a million.
Hence, the correct option is E) About 1 in a million.
Answer:
$76.5
Step-by-step explanation:
93.5÷5.5=17
17×4.50=76.5
Therefore the answer is 76.5.
Answer: 0.1289
Step-by-step explanation:
Given : The proportion of all students at a large university are absent on Mondays. : 
Sample size : 
Mean : 
Standard deviation = 
Let x be a binomial variable.
Using the standard normal distribution table ,
(1)
Z score fro normal distribution:-
For x=4
For x=3
Then , from (1)
Hence, the probability that four students are absent = 
Answer:
11
Step-by-step explanation:
4=1
14=2
24=3
34=4
40=5
41=6
42=7
43=8
44=9
45=10
46=11
You will encounter 11 4s.
Answer:
<h2>√512 by √512 </h2>
Step-by-step explanation:
Length the length and breadth of the rectangle be x and y.
Area of the rectangle A = Length * breadth
Perimeter P = 2(Length + Breadth)
A = xy and P = 2(x+y)
If the area of the rectangle is 512m², then 512 = xy
x = 512/y
Substituting x = 512/y into the formula for calculating the perimeter;
P = 2(512/y + y)
P = 1024/y + 2y
To get the value of y, we will set dP/dy to zero and solve.
dP/dy = -1024y⁻² + 2
-1024y⁻² + 2 = 0
-1024y⁻² = -2
512y⁻² = 1
y⁻² = 1/512
1/y² = 1/512
y² = 512
y = √512 m
On testing for minimum, we must know that the perimeter is at the minimum when y = √512
From xy = 512
x(√512) = 512
x = 512/√512
On rationalizing, x = 512/√512 * √512 /√512
x = 512√512 /512
x = √512 m
Hence, the dimensions of a rectangle is √512 m by √512 m
