Answer:
The answer is 
Step-by-step explanation:
If we assume that people cannot taste a difference between bottled water, then the probability of identifying tap water is 0.5
Thus, P(identify tap water)=0.5
The probability that at least 8 of the 9 people identify the tap water correctly is the sum of the probabilities
- 8 of 9 people identified correctly or
- 9 of 9 people identified correctly
Since P(identify tap water)=0.5 each probabilities are the same and equal to
=
So we have 
=
Well idk about geometric theorem or how ever. but, because they have the same line aka the same Slope. The other line is parallel to it. Assuming by the statement, -1/3x has another -1/3x of the same Slope.
Answer:
60°
Step-by-step explanation:
This questions tests our knowledge on arcs and arc measures.
-Arc measure is the angle that an arc makes with the circle's center.
-The arc measure is proportional to the arc.
#The sum of the 3 arcs is x+2x+3x=6x
Given a circle has 360°, the arc measurement x can be calculated as:
![[x+2x+3x]=360\textdegree\\\\6x=360\textdegree\\\\x=60\textdegree](https://tex.z-dn.net/?f=%5Bx%2B2x%2B3x%5D%3D360%5Ctextdegree%5C%5C%5C%5C6x%3D360%5Ctextdegree%5C%5C%5C%5Cx%3D60%5Ctextdegree)
Hence, the arc measurement x is 60°
Answer:
C and D
Step-by-step explanation:
We can see that the base of the bigger triangle is 6. Based on the straight sides adjacent to the hypotenuse, the bigger one's height is 6 and the smaller one's is 3. This means that the smaller one is half the size of the bigger one. This means that if the bigger base is 6, the smaller one is 3. Since it is 3, we move 3 spaces left from point Z to get point Y. If you moved 3 spaces left, it would be (-5,2). You can also move 3 spaces right and then your Y point would be at (1,2) so C and D are the 2 possible answers.
The answer is 21 because 189 divided by 9 is 21
