Answer:
0.0011904
Step-by-step explanation:
Given that:
Number of slips = 7
Sample space = (1, 2, 3, 3, 5, 6, 7)
Numbwe of slips drawn = 4
Probability = required outcome / Total possible outcomes
Note ; selection is without replacement ;
P(drawing 1) = 1 /7
P(drawing 2) = 1 /6
P(drawing 3) = 1/5
P(drawing 4) = 1/4
1/7 * 1/6 * 1/5 * 1/4 = 0.0011904
(-y + 5a - 4) + (3y - a - 5) is simplified to 2y + 4a - 11
In this problem, we are asked to give an expression that can be used to mentally multiply 6 and 198. In order not to go through the rigorous multiplication, we can estimate 198 to 200, that is 6 *200 equal to 1200. Since there is a 2*6 excess or 12 then we subtract: 1200 -12 equal to 1188.
Answer:
Yes, lines CD & AB are perpendicular
Step-by-step explanation:
AB slope: y = -12/8x + 7
CD slope: y = 6/9x - 6
Once the slopes are simplified:
AB: -3/2
CD: 2/3
Hope this helps!