<u>Answer:</u>
<u>Part A: All the residents of the state of Virginia make up the population, while the sample is the number of those interviewed–65,439 people.</u>
<u>Part B: No</u>
<u>Step-by-step explanation:</u>
Part A: In statistical analysis, the population refers to the study area of the research; and in this case– the state of Virginia. While the sample represents a considerable representation of the population in the survey.
Part B: No because we are told The US Department of Health and Human Services <em>used a random sample, not a non-random sampling technique; </em>which implies that the feedback was random and may not likely be close to the truth about the entire population.
Answer:
-5 < x < 9
Step-by-step explanation:
By Hinge theorem,
"If two sides of a triangle are congruent to the two sides of another triangle, and the included angle of one triangle is larger than the included angle of the second, then the 3rd side of triangle one will be larger than the third side of the second"
23 > 21
Therefore, 42° > (3x + 15)°
42° - 15° > 3x
27 > 3x
9 > x
And (3x + 15) > 0
3x > -15
x > -5
Therefore, range for x will be,
-5 < x < 9
Answer: The original price of washing machine is $250.
Step-by-step explanation:
Since we have given that
Rate of decline in normal prices = 17%
Amount of normal price reduced by = $42.50
Let the original price be x
According to question,
![\frac{17}{100}\times x=42.50\\\\x=\frac{100}{17}\times 42.50\\\\x=\$250](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B100%7D%5Ctimes%20x%3D42.50%5C%5C%5C%5Cx%3D%5Cfrac%7B100%7D%7B17%7D%5Ctimes%2042.50%5C%5C%5C%5Cx%3D%5C%24250)
Hence, The original price of washing machine is $250.
When you divide you subtract exponents....so a^2