Using the normal distribution, it is found that 1851 people would have an IQ less than 115.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:

The proportion of IQ scores less than 115 is the <u>p-value of Z when X = 115</u>, hence:


Z = 1
Z = 1 has a p-value of 0.8413.
Out of 2200 people:
0.8413 x 2200 = 1851.
More can be learned about the normal distribution at brainly.com/question/27643290
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Answer:
<em>C.</em> 
Step-by-step explanation:
Given

Required
Determine which binomial expansion it came from
The first step is to add the powers of he expression in brackets;


Each term of a binomial expansion are always of the form:

Where n = the sum above

Compare
to the above general form of binomial expansion

Substitute 6 for n

[Next is to solve for a and b]
<em>From the above expression, the power of (5) is 2</em>
<em>Express 2 as 6 - 4</em>

By direct comparison of

and

We have;

Further comparison gives



[Solving for a]
By direct comparison of 



[Solving for b]
By direct comparison of 


Substitute values for a, b, n and r in



Solve for 








<em>Check the list of options for the expression on the left hand side</em>
<em>The correct answer is </em>
<em />
Answer:
B. 1069 feet
Step-by-step explanation:

Adding the initial 125 feet to this, you get a total height of 1069 feet. Hope this helps!
Answer:
160 lbs = 72.57kg
Step-by-step explanation:
This can be solved as a rule of three problem.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.
Unit conversion problems, like this one, is an example of a direct relationship between measures.
Each lb has 0.45kg. How many kg are there in 160lbs. So:
1lb - 0.45kg
160 lbs - xkg

kg
160 lbs = 72.57kg