Answer:
0.58
Step-by-step explanation:
The probability that Taymoor gets at least one job is a sum of probabilities of 3 events:
1.He gets Job 1 (P(1.yes)= 0.3) and doesn't get the job 2 (P(2.not)=1-0.4=0.6)
P(1.yes,2.not)=P(1.yes)*P(2.not)=0.3*0.6=0.18
2. He doesn't get job1 (P(1.not)= 1-03=0.7 ) and gets job2(P2.yes)=0.4)
P(1.not,2.yes)=P(1.not)*P(2.yes)=0.7*0.4=0.28
3. He gets job1 (P(1.yes)= 0.3 ) and gets job2(P2.yes)=0.4)
P(1.yes,2.yes)=P(1.yes)*P(2.yes)=0.3*0.4=0.12
The resulted probability is P(gets job)= 0.18+0.28+0.12=0.58
Answer:
Step-by-step explanation:
Consider triangles BKE and DKA. In this triangles:
as vertical angles;
as alternate interior angles (lines BC and AD are parallel and BC is a transversal);
as alternate interior angles (lines BC and AD are parallel and BE is a transversal).
Thus triangles BKE and DKA are similar by AA theorem. Similar triangles have proportional sides lengths:
Thus, 
Since AD=BC and BC=BE+CE, we have that 4BE=BE+EC, EC=3BE. Hence, the ratio BE to EC is
Answer:
5/2, 4/5 are terminating decimals
Step-by-step explanation:
5/2 = 2.5 this is a terminating decimal
4/5 = .8 this is a terminating decimal
2/7 = .285714(repeating) This is a repeating decimal
4/3 = 1.3(repeating) this is a repeating decimal
We have 8 sides to calculate, it will be hard to explain which side I'm calculating without marking on the picture.
We will start with the front facing side. We can break this up into an 8ft x 8ft square, and a 14ft x 6ft rectangle. The area equals:
8ft x 8ft + 14ft x 6ft = 148ft^2
The front facing is the same area as is back facing counterpart so we can multiply the surface area by 2:
148ft^2 x 2 = 296f^2
Adding the bottom surface area 6ft x 14ft:
6ft x 14ft + 296ft^2 = 380ft^2
Adding the right side 6ft x 14ft:
6ft x 14ft + 380ft^2 = 464ft^2
Adding the left side 8ft x 6ft:
8ft x 6ft + 464ft^2 = 512ft^2
Adding the 3 sides on the top 8ft x 6ft (top facing), 6ft x 6ft (top facing), and 6ft x 6ft (left facing):
<span>8ft x 6ft + 512ft^2 = 560ft^2
</span><span>6ft x 6ft + 560ft^2 = 596ft^2
</span>6ft x 6ft + <span>596</span>ft^2 = 632ft^2
Therefore the answer is C, 632 ft^2.
The outlet pipe will take 18 hours to empty the tank.
St<u>ep-by-step explanation:</u>
Number of hours taken by inlet pipe to fill the tank=6
work done by the inlet pipe in 1 hour=1/6
Number of hours taken by the inlet pipe to fill the tank with the outlet pipe open=9
work done by the inlet pipe in 1 hour with outlet pipe open=1/9
we have to determine the time taken by the outlet pipe to empty the tank
The inlet and outlet pipe does the opposite work.
The outlet pipe takes 18 hours to empty the tank.
