Answer:
see explanation
Step-by-step explanation:
given
a² + b² = c² ( isolate b² by subtracting a² from both sides )
b² = c² - a² ( take the square root of both sides )
= ± ![\sqrt{c^2-a^2}](https://tex.z-dn.net/?f=%5Csqrt%7Bc%5E2-a%5E2%7D)
b = ± ![\sqrt{c^2-a^2}](https://tex.z-dn.net/?f=%5Csqrt%7Bc%5E2-a%5E2%7D)
Answer:
11 hours and 15 minutes (11.25)
Step-by-step explanation:
make a ratio
160:4.5
240/160=1.5
so 1 and 1/2 intervals of 4.5 hours
4.5+4.5= 9
4.5/2=2.25
9+2.25=11.25
The total cost would be $5.98
hope this helps! :)
The standard error of the estimate of average height in the city is 0.25.
Given average height 64 inches, sample mean and sample standard deviation of 4 inches.
We have to determine the standard error of the estimate of the average height in the city.
Standard error is the error which is predicted before research to happen in research. It is calculated by dividing the standard deviation of the sample by the square root of the sample size.
n=256
μ=mean
s = sample standard deviation
Standard error=s/![\sqrt{n}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D)
=4/![\sqrt{256}](https://tex.z-dn.net/?f=%5Csqrt%7B256%7D)
=4/16
=0.25
Hence the standard error of the estimate of the average height is 0.25.
Learn more about standard error at brainly.com/question/1191244
#SPJ4
Remember that the terms of a polynomial are the parts of the polynomial separating by addition and subtraction; in other words, the parts separated by (+) and (-) signs. Knowing this, we can separate the terms of our polynomial:
![a^2-ab+8b+b^2-1](https://tex.z-dn.net/?f=a%5E2-ab%2B8b%2Bb%5E2-1)
- First term:
![a^2](https://tex.z-dn.net/?f=a%5E2)
- Second term:
![-ab](https://tex.z-dn.net/?f=-ab)
- Third term:
![8b](https://tex.z-dn.net/?f=8b)
- Fourth term:
![b^2](https://tex.z-dn.net/?f=b%5E2)
- Fifth term:
![-1](https://tex.z-dn.net/?f=-1)
We can conclude that there are
5 terms in the polynomial
![a^2-ab+8b+b^2-1](https://tex.z-dn.net/?f=a%5E2-ab%2B8b%2Bb%5E2-1)
.