Answer:
The proposed rule correctly works.
Step-by-step explanation:
As the original triangle has the vertices with the coordinates
From the given diagram, the image of the triangle has the vertices
A'(10, 4)
B'(5, 4)
C'(5, 0)
According to the proposed rule, the image should have the following vertices.
(x,y) ➝ (y+4, -x-2)
A(-6, 6) ➝ (6+4, -(-6)-2) = A'(10, 4)
B(-6, 1) ➝ (1+4, -(-6)-2) = B'(5, 4)
C(-2, 1) ➝ (1+4, -(-2)-2) = C'(5, 0)
So, the coordinates of the image of the triangle are correctly drawn as per the proposed rule.
Therefore, the proposed rule correctly works.
Answer:
The probability of picking at least three boys is 
.
Step-by-step explanation:
We have to choose 5 people to form a student government.
We have to pick 5 people out of 7 girls and 5 boys.
What is the probability that at least 3 boys are a part of the student government?
The probability of picking 5 people out of 12 girls and boys = 
The probability of picking at least 3 boys excludes the probability of picking 3 girls. The probability of picking 3 girls = 
The probability of picking at least 3 boys = 1 - = 
The probability of picking 5 people and the probability of picking at least 3 boys = × =
Answer:
4/9
Step-by-step explanation:
negative exponent means 1/...
so, this is
(32/243)^(4/10) = (32/243)^(2/5)
that means to the power of 2 and then pulling the 5th root.
so, let's pull the 5th root first, and then we square
(32/243)^(2/5) = (2⁵/3⁵)^(2/5) = (2/3)^2 = 4/9
You got the total number of pages correct, but the equation gets you 39 total pages. Instead of multiplying by 1/3, you multiply by 3 because 114+3 is 1/3 of the total pages. So:
(114+3) · 3 = p
351 = p
