The probability that he can fit through the doorway without bending is 14.92%
<h3>How to find the p-value probability?</h3>
We are given;
Mean; μ = 69.5
Standard deviation; σ = 2.4
Sample mean; x' = 72
The standardized score is the value x decreased by the mean and then divided by the standard deviation. Thus;
z = (x' − μ)/σ
z = (72 − 69.5)/2.4
z = 1.04
Using p-value from z-score calculator gives us;
p-value = 0.1492 = 14.92%
Thus, the probability that he can fit through the doorway without bending is 14.92%
Complete Question is;
The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 69.5 in. and a standard deviation of 2.4 in. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending.
Read more about P-value from z-scores at; brainly.com/question/25638875
#SPJ1
Answer:
The type of decision that increases a nation's sphere of influence is called an Expansionist policy. This is a form of an aggressive and radical nationalism where expansionism is the main goal. Expansion in terms of military and economic context that caused a lot of major conflicts and colonization in history.
Answer: I would do a.
Explanation: Then both customers would be happy. I'm pretty sure that is how this works.
The function g(x) can be expressed as the inverse of f(x) as;
g(x) = ¼x - 3
<h3>Inverse Functions</h3>
Complete question is;
If g(x) is the inverse of f(x) and f(x) = 4x + 12 what is g(x)?
- Now, for us to find the inverse of a function, we need to make the output the subject of the formula first and then switch the input and new output values.
Thus;
f(x) = 4x + 12
Thus;
(f(x) - 12)/4 = x
x = ¼f(x) - 3
Thus, switching as said above, we now have;
g(x) = ¼x - 3
Read more about inverse functions at;brainly.com/question/8824268
The minimum number of people who claimed ancestry from all three heritages is : 45
Given that there are 100 relatives
let's assume that 1 relative = 1 room
100 relatives = 100 rooms
Number of relatives with Italian heritage = 90
Number of relatives with German heritage = 80
Number of relatives with swiss heritage = 75
<u>Step 1 : </u>
Fill up the first 90 rooms with Italian heritage relatives
Fill up the remaining 10 rooms with 10 Relatives with German heritage
<u>Step 2 :</u>
Distribute the remaining 70 relatives with German heritage into 70 rooms out of the 90 rooms already occupied by the relatives with Italian heritage
<u>Step 3: </u>
Distribute the 75 relatives with swiss heritage into the 20 rooms occupied by Italian heritage relatives only and<em> </em><u><em>45 rooms</em></u><u><em> occupied by both </em></u><u><em>German and Italian relatives</em></u><u><em> </em></u>and into the 10 rooms occupied by the German heritage relatives
Therefore we can conclude that the minimum number of people who claimed ancestry from all three heritages is : 45
Learn more about pie chart : brainly.com/question/25666939
