Mean = sum of values / number of values
74 = x/32
2368 = x
70 = y/19
1330 = y
mean for female students = (2368 - 1330)/(32-19) = 79.85
This answer is a. Just do distributive property
Answer:
Infinitely many
Step-by-step explanation:
12x + 1 = 3(4x + 1) - 2
12x + 1 = 12x + 3 - 2
12x + 1 = 12x + 1
Both sides are equal for all x, so infinite solutions
Answer:
Step-by-step explanation:
If a point (x, y) is translated by 4 units horizontally right and 1 unit upwards, coordinates of the image point will be,
(x, y) → (x + 4. y + 1)
Therefore, vertices of the image triangle ABC will be,
A(2, 2) → A'(2+4, 2+1)
→ A'(6, 3)
B(5, -1) → B'(5+4, -1+1)
→ B'(9, 0)
C(1, -2) → C'(1+4, -2+1)
→ C'(5, -1)
Then reflected across y-axis.
Rule for the reflection across y-axis will be,
(x, y) → (-x, y)
A'(6, 3) → A"(-6, 3)
B'(9, 0) → B"(-9, 0)
C'(5, -1) → C"(-5, -1)
Simplify the expression and you get 3a^4B