The average commute for 95% of the students is between 19.0 and 4.2 miles.
The average distance is 19 miles.
Therefore, the standard deviation is 4.2 miles.
A) 2.7 = 19 - a(4.2)
where;
a deviates from the mean by a certain number of standard deviations. Thus;
a = (19 - 2.7) ÷ 4.2
a = 3
In a normal distribution, 3 standard deviations from the mean indicate that 95% of the data falls within that range.
B) The data are 2 standard deviations apart from the mean at the 95% confidence level. Thus;
CI = 19 ± 2(4.2)
CI = (18 - 10.2) OR (18 + 10.2)
CI = (7.8, 28.2)
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Answer:
16.403
22.312
Step-by-step explanation:
I think it's 84.1 (degrees). Hope this helps you
Answer:

Step-by-step explanation:
<u>Mathematical Modeling</u>
To model a real-life situation, a mathematical model can be constructed in such a way it accurately represents the variables measured in the system.
This problem requires to build a model for the yearly cost of a small and successful business.
The first data is the fixed monthly cost or the money the owner must pay regardless of the number of employees he hires. This cost includes shipping supplies and products for $2,000. To operate for a full year, the fixed cost is 12*$2,000=$24,000.
The other component of the cost function is the variable cost of x employees. Given each employee costs $1,600 each month, having x employees cost 1,600x each month. For a full year, the variable cost will be
12*1,600x=19,200x.
We finally form the total cost function:

This equation does not have any zeros. Use the formula of (b*b)-4(a)(c).