The correct option is: (E) It is plausible that the percent of all people living in the region who regularly use sunscreen is 18.5%.
<u>Step-by-step explanation:</u>
The margin of error is a statistic expressing the amount of random sampling error that occurred due to miscalculation and survey results. The margin error is usually a small amount of error.
Generally 5% of margin of error is common and acceptable. When the percentage of the margin of error increases, the confidence in the report result will be reduced.
The recent survey reveals that 19% of the people living in a certain region regularly use sunscreen when going outdoors. The permissible margin of error in this survey is 1%.
Probably the percentage of people using sunscreen in the particular region will be <u>18.5%.
</u>
Answer:
x = 16
Step-by-step explanation:
SR = ST ⇒ Two sides are equal. So, ΔSRT is an isosceles triangle.
The angles opposite to equal sides are equal.
⇒ ∠STR = ∠R
∠STR = 4x - 28
Linear pair: If a ray stands on a line, then the adjacent angles are supplementary and they are called linear pair
∠STR + ∠STU = 180° {linear pair}
4x - 28 + 9x = 180
4x + 9x - 28 = 180 {Combine like terms}
13x- 28 = 180
Add 28 to both the sides
13x = 180 + 28
13x = 208
Divide both sides by 13
x = 208/13

Try this solution (analytic method):
1. if new line is parallel to the given one (y=3x+2) it means the new line has a form y=3x+b, where b - number.
2. In order to calculate 'b', it need to substitute the coordinates of point (6;1) into the equation of the new line:
1=3*6+b, ⇒ b=-17.
3. If to make up the equation of the new line:
y=3x-17
Answer: A
Answer:
4 and 2
Step-by-step explanation:
4x4+2x2
16+4=20
Both angles need to equal 180 degrees .
Add them together:
2x +10 + 3x-5 = 180
5X +5 = 180
Subtract 5 from each side:
5x = 175
Divide both sides by 5:
X = 175 / 5
X = 35
Now replace X with 35 in each equation:
2x +10 = 2(35) +10 = 70 +10 = 80
3x-5 = 3(35) - 5 = 105 -5 = 100
The answer is A. 80 and 100