Answer:
2/3
Step-by-step explanation:
2/12+4/9
Find a common denominator
16/72+ 32/72
48/72
Simplify
=2/3
Hope this helps
Answer:
Vel_jet_r = (464.645 mph) North + (35.35 mph) East
||Vel_jet_r|| = 465.993 mph
Step-by-step explanation:
We need to decompose the velocity of the wind into a component that can be added (or subtracted from the velocity of the jet)
The velocity of the jet
500 mph North
Velocity of the wind
50 mph SouthEast = 50 cos(45) East + 50 sin (45) South
South = - North
Vel_ wind = 50 cos(45) mph East - 50 sin (45) mph North
Vel _wind = 35.35 mph East - 35.35 mph North
This means that the resulting velocity of the jet is equal to
Vel_jet_r = (500 mph - 35.35 mph) North + 35.35 mph East
Vel_jet_r = (464.645 mph) North + (35.35 mph) East
An the jet has a magnitude velocity of
||Vel_jet_r|| = sqrt ((464.645 mph)^2 + (35.35 mph)^2)
||Vel_jet_r|| = 465.993 mph
Yes because you use the distributive property
<u>Answer:</u>
The expected value of construction company is $30500.
<u>Solution:</u>
Given, A construction company is planning to bid on a building contract.
The bid costs $1,500 and has an 80% chance of being accepted.
If accepted, the company will receive $40,000 dollars.
We have to find the expected value.
We know that,
Expected value = probability 
amount gained by bidding – bid amount
Expected value = 80% x 40000 – 1500
Expected value = 0.8 x 40000 – 1500
Expected value = 32000 – 1500
Expected value = 30500
Hence, the expected value is $30500.
2 consecutive integers : x and x + 1
x + x + 1 = 183
2x + 1 = 183
2x = 183 - 1
2x = 182
x = 182/2
x = 91
x + 1 = 91 + 1 = 92
ur 2 numbers are 91 and 92 with 91 being the smallest integer
