Answer:
Normal distribution table
Step-by-step explanation:
We need to define all the variables that are presented to us in the problem, like this:
Data point in question = xi = 36000
The mean = μ = 32000
The standar variation = s = 3000
calculate the z-score for the left bound
x = 36000:
where μ = 32000, s = 3000, n = 1. (There is only one
teacher in the sample.)
z-score for 36000 is calculated thusly:
It is necessary to look in the normalized table for this value, and look in the area on the left that for 1.33 the result is 0.9082
<em>So our probability is 0.9082 that he or she makes more than $36000</em>
So she walked during this time with <span>4 miles per hour (x*4)
during
the rest of the way (which is 0.7-x, as the whole way took her 42
minutes, so the rest is 0.7-x) she walked with 5 miles per hour - the
distance was (0..7-x)*5 m/h
the total distance was 3 miles, so if we sum the two distances, we will get 3 miles:
x*4+ (0.7-x)*5=3
let's remove the bracket:
4x+0.7*5-5x=3
</span>
<span>4x+3.5-5x=3
subtract 3.5 from both sides:
4x-5x=3-3.5
-x=-0.5
multiply both sides by (-1)
x=0.5:
so she walked for half an hour alone, that is for 30 minutes!</span>
Option B
The sum of the measures of the exterior angles of a 53 - gon is 360 degrees
<em><u>Solution:</u></em>
The formula for sum of exterior angles "n" is:
Distribute 180
Therefore, sum of measure of exterior angles is 360 degrees
<h3>Sum of the measures of all the exterior angles of any polygon, irrespective of its number of sides is always 360 degrees</h3>
Thus, in a 53 gon, sum of measure of exterior angles is 360 degrees
The answer is <span>263.894</span>
<span />
The answer is 25/3 or in decimal 8.333333