Answer:
5√3 miles per hour
Step-by-step explanation:
Throughout their journey, the component of velocity of rowboat B to the east is the same as that of rowboat A:
(10 mph)(cos(π/3)) = 5 mph
Meanwhile, the component of velocity of rowboat B to the north is ...
(10 mph)(sin(π/3)) = 5√3 mph
Since rowboat A is always traveling in a direction that is at right angles to the direction between the boats, it contributes nothing to their relative speed. Since rowboat B is always directly north of rowboat A, its speed to the north is their relative speed.
The distance between the rowboats is increasing at 5√3 mph ≈ 8.66 mph.
The second guitar is the answer because it has a lower amount than the first but not by alot
Answer:
(2, 0)
Step-by-step explanation:
The only table entry with y = 0 is (x, y) = (2, 0). That is the x-intercept.
Answer:
a) 0.00019923%
b) 47.28%
Step-by-step explanation:
a) To find the probability of all sockets in the sample being defective, we can do the following:
The first socket will be in a group where 5 of the 38 sockets are defective, so the probability is 5/38
The second socket will be in a group where 4 of the 37 sockets are defective, as the first one picked is already defective, so the probability is 4/37
Expanding this, we have that the probability of having all 5 sockets defective is: (5/38)*(4/37)*(3/36)*(2/35)*(1/34) = 0.0000019923 = 0.00019923%
b) Following the same logic of (a), the first socket have a chance of 33/38 of not being defective, as we will pick it from a group where 33 of the 38 sockets are not defective. The second socket will have a chance of 32/37, and so on.
The probability will be (33/38)*(32/37)*(31/36)*(30/35)*(29/34) = 0.4728 = 47.28%
