If 18 of the 90 incoming trains on line A arrive late, we have that 90 - 18 = 72 trains of the 90 arrive on time, so the probability of a train on line A arriving on time is:

P(A) = 72/90 = 0.8 = 80%

on line B, we have that 70 - 14 = 56 trains of the 70 arrived in time, so the probability of a train from line B arriving on time is:

P(B) = 56/70 = 0.8 = 80%

To find the probability of any train arriving on time, we can use this formula:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.8 + 0.8 - 0.8*0.8

P(A or B) = 1.6 - 0.64 = 0.96 = 96%

4 0

3 years ago

What is the volume of a cube with a side length of 7 centimeters?

Luba_88 [7]

Answer:343cm^3

Step-by-step explanation: looking at the question given by finding the

Volume of a cube=l^3

The Length =7cm

Then we are going to have;

V=7cmx7cmx7cm

Therefore, our answer will now be

V=343cm^3

6 0

4 years ago

Create a system of linear equations with infinitely many solutions. In your final answer, include the system of equations and th

bulgar [2K]

A system of linear equations $\left \{ {{a_1x+b_1y=c_1} \atop {a_2x+b_2y=c_2}} \right.$ has:
1. unique solution, when: $\frac{a_1}{a_2}\neq \frac{b_1}{b_2}$ ;
2. no solutions, when: $\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}$ ;
3. infinitely many solutions, when: $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$ .
According to the part 3 you can create such system:
$\left \{ {{x-2y=3} \atop {_2x-4y=6}} \right.$
Graphs (the same line) are shown on the added picture.

3 0

4 years ago