What is the probability that at least one does not work?
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Answer:
Step-by-step explanation:
b. R = 8t + 100
c. R = 2t + 100
d. R = 88t + 100
e. R = 3t + 108
To find the length of each flight, we can use the formula: distance = speed x time.
Let's assume the length of the outbound flight (from the starting point to the destination) is x miles. Since the flight averages 460 miles per hour, the time taken for the outbound flight can be calculated as x/460 hours.
For the return flight, which averages 500 miles per hour due to the tailwind, the time taken can be calculated as x/500 hours.
The total flying time for both flights is given as 4 hours and 48 minutes, which can be converted to hours as 4 + 48/60 = 4.8 hours.
Using this information, we can set up the equation:
x/460 + x/500 = 4.8
To solve this equation, we can multiply through by the common denominator of 460 and 500, which is 230,000:
500x + 460x = 4.8 * 230,000
960x = 1,104,000
x = 1,104,000 / 960
x ≈ 1,150
Therefore, the outbound flight is approximately 1,150 miles long.
To find the duration of each flight, we can substitute this value back into the equations:
Outbound flight duration = 1,150 miles / 460 miles per hour ≈ 2.5 hours
Return flight duration = 1,150 miles / 500 miles per hour = 2.3 hours
Hence, the outbound flight lasts approximately 2 hours and 30 minutes, while the return flight lasts approximately 2 hours and 18 minutes.
Step-by-step explanation:
To find the solution to the inequality 0.125x + 1 - 0.25x < -3, we can simplify and solve for x.
0.125x + 1 - 0.25x < -3
Combining like terms:
-0.125x + 1 < -3
Subtracting 1 from both sides:
-0.125x < -4
Now, to isolate x, we divide both sides by -0.125. However, since we are dividing by a negative number, we need to reverse the inequality sign:
x > -4 / -0.125
Simplifying the division:
x > 32
Therefore, the solution to the inequality 0.125x + 1 - 0.25x < -3 is x > 32.
Answer:Finding the length of a flagpole when you know 2 angles and the length of the shadow
Step-by-step explanation: