Answer: 1163.2 feet
<u>Step-by-step explanation:</u>
Set up the proportion then cross multiply:


4(x) = 1454(3.2)
x = 
x = 1163.2
Answer:
The passing score is 645.2
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score?
This is the value of X when Z has a pvalue of 1-0.1 = 0.9. So it is X when Z = 1.28.




The passing score is 645.2
Expanded form is when you take a number, and add its digits together, reforming the number. For example, 1,523 would be 1,000 + 500 + 20 + 3
Here are a few examples:
2,000 + 400 + 50 + 7 = 2,457
200,000 + 700 + 10 + 2 = 200,712
50,000 + 800 + 50 + 6 = 50,856
60,000,000 + 200,000 + 50,000 + 1,000 + 400 + 20 + 3 = 60,251,423
So, 20,484,163 is equal to
20,000,000 + 400,000 + 80,000 + 4,000 + 100 + 60 + 3 = 20,484,163
I hope I helped!
~Olivia
Answer:
55
Step-by-step explanation:
180=35+90+m∠3