Answer:
-657
Step-by-step explanation:
![a= -1\\b= 4\\](https://tex.z-dn.net/?f=a%3D%20-1%5C%5Cb%3D%204%5C%5C)
Substituting the value of a and b
![3a^{2}-4ab-26^{2} \\3(-1)^{2} -4(-1)(4)-676\\3-4(-4)-676\\3+16-676\\19-676\\-657](https://tex.z-dn.net/?f=3a%5E%7B2%7D-4ab-26%5E%7B2%7D%20%20%5C%5C3%28-1%29%5E%7B2%7D%20-4%28-1%29%284%29-676%5C%5C3-4%28-4%29-676%5C%5C3%2B16-676%5C%5C19-676%5C%5C-657)
The value of 3a²-4ab-26² is -657
Only Table 2 shows direct variation. Every y value is 7 times the associated x value.
Answer:
The interval [32.6 cm, 45.8 cm]
Step-by-step explanation:
According with the <em>68–95–99.7 rule for the Normal distribution:</em> If
is the mean of the distribution and s the standard deviation, around 68% of the data must fall in the interval
![\large [\bar x - s, \bar x +s]](https://tex.z-dn.net/?f=%5Clarge%20%5B%5Cbar%20x%20-%20s%2C%20%5Cbar%20x%20%2Bs%5D)
around 95% of the data must fall in the interval
around 99.7% of the data must fall in the interval
![\large [\bar x -3s, \bar x +3s]](https://tex.z-dn.net/?f=%5Clarge%20%5B%5Cbar%20x%20-3s%2C%20%5Cbar%20x%20%2B3s%5D)
So, the range of lengths that covers almost all the data (99.7%) is the interval
[39.2 - 3*2.2, 39.2 + 3*2.2] = [32.6, 45.8]
<em>This means that if we measure the upper arm length of a male over 20 years old in the United States, the probability that the length is between 32.6 cm and 45.8 cm is 99.7%</em>
Answer:
30 goes in the blank.
Step-by-step explanation:
hope this helps :)
have a good day!