Answer:
a) 0.8413
b) 421
c) 
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 165
Standard Deviation, σ = 15
We are given that the distribution of IQ examination scores is a bell shaped distribution that is a normal distribution.
Formula:
a) P(IQ scores at most 180)
P(x < 180)
Calculation the value from standard normal z table, we have,
b) Number of the members of the club have IQ scores at most 180
n = 500

c) P(X< x) = 0.95
We have to find the value of x such that the probability is 0.95
Calculation the value from standard normal z table, we have,


Simplfy then combine like terms so the anwser Simplified and Evaluated is -17x-19
<h2>
Greetings!</h2>
Answer:
B and E
Step-by-step explanation:
The rules of indicies states:
÷
= 
So
÷
=
=
So that means B is one of the correct answers.
To find the other correct value, you can divide the two fractions as stated in the question:
by
= 
81 is equivalent to 3⁴
So that means E is also correct.
<h2>Hope this helps!</h2>