They both are acute angles
Answer:
the bill is $3.74
the tip is 0.74
Step-by-step explanation:
The first questions answer:
Given (0, -4), 4x - y = 7. I converted the equation into slope intercept form and I got: y = 4x - 7. Once I had gotten that I put (0, -4) and the equation into Point-Slope Form and solved it: y - (-4) = 4(x + 0), y + 4 = 4x, y = 4x - 4 is the slope intercept form of your equation and point :)
Answer:
Question 1
Total number of marbles = 5 + 7 + 8 = 20
(a)
- P(red, red) = 5/20*4/19 = 1/19
(b)
- P(white, blue or blue, white) = 7/20*8/19 + 8/20*7/19 = 14/95 + 14/95 = 28/95
(c)
- P(both same colour) = P(red,red or blue,blue or white,white) =
- 1/19 + 8/20*7/19 + 7/20*6/19 = (20 + 56 + 42)/380 = 118/380 = 59/190
Question 2
(a)
- P(A and B) = 2/9 * 4/11 = 8/99
(b)
- P(not A and not B) = (1 - P(A))(1 - P(B)) = 7/9*7/11 = 49/99
(c)
- P(A or B) = 1 - P(not A and not B) = 1 - 49/99 = 50/99