Given that the sides of the acute triangle are as follows:
21 cm
x cm
2x cm
Stated that 21 cm is one of the shorter sides of the triangle2x is greater than x, so it follows that 2x MUST be the longest side
For acute triangles, the longest side must be less than the sum of the 2 shorter sides
Therefore, 2x < x + 21cm
2x – x < 21cm
x < 21cm
If x < 21cm, then 2x < 42cm
Therefore, the longest possible length for the longest side is 42cm
Answer: 4.27% of adults in the USA have stage 2 high blood pressure.
Step-by-step explanation:
Let x be a random variable that denotes a person with high blood pressure .
Given: Average blood pressure: 
Standard deviation: 
Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.
The probability that an adult in the USA have stage 2 high blood pressure:
![P(x\geq160)=P(\dfrac{x-\mu}{\sigma}}\geq\dfrac{160-122}{22})\\\\=P(z\geq1.72)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z](https://tex.z-dn.net/?f=P%28x%5Cgeq160%29%3DP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%7D%5Cgeq%5Cdfrac%7B160-122%7D%7B22%7D%29%5C%5C%5C%5C%3DP%28z%5Cgeq1.72%29%5C%20%5C%20%5C%20%5Bz%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-P%28z%3C1.72%29%5C%5C%5C%5C%3D1-0.9573%5C%20%5C%20%5BBy%5C%20p-value%5C%20table%5D%5C%5C%5C%5C%3D0.0427%3D4.27%5C%25)
Hence, 4.27% of adults in the USA have stage 2 high blood pressure.
Answer:
It will be. 7/9 of the states would be about 46
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
a third party group in which no naps occur
Answer:
D
Step-by-step explanation: