Answer: 0.4758
Step-by-step explanation:
Given : Mean :
Standard deviation :
Also, the new population of pilots has normally distributed .
The formula to calculate the z-score :-
For x=130 lb .
For x=171lb.
The p-value =
Hence, the required probability : 0.4758
Answer:
a. Genre with highest mean is drama. Mean is 72.10
B. 10.46 is difference between means of comedy and horror
C. Horror has the lowest minimum value at 25.00
Action and comedy both have the highest maximum value at 93.00
Step-by-step explanation:
First create a table with the data provided like I did in the attachment. It would give a clearer picture of what your answers should be.
1. Which genre has the highest mean score?
From the table, we have the means as:
Action = 58.63
Comedy = 59.11
Drama = 72.10
Horror = 48.65
The genre with the highest score is drama at 72.10
2. Difference in mean score between comedy and horror
Mean of comedy = lc = 59.11
Mean of horror = ly = 48.65
Difference = lc-ly
= 59.11 - 48.65
= 10.46
3. The genre with lowest score is the genre with the lowest minimum value. This genre is horror and the lowest minimum is 25.00
The genre with highest minimum value is that whose maximum value is the highest out of all the genres. Both action and comedy have the highest maximum value at 93.00
So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.
Understanding that we know the shadow lengths, we can turn these into a fraction such as so:
4ft/20ft.
Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.
Your fraction for that would look like:
5.5ft/X
Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.
Now we can solve.
4ft/20ft =5.5ft/X
We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:
4x = 110ft
This is a simple one step equation. Divide both sides by 4 to get your answer.
x= 27.5ft.
This means your Utility pole's height is 27.5ft.
