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Since there is no repetition allowed, there are 10 possibilities for the 1st digit, 9 for the 2nd, 8 for the 3rd, and 7 for the 4th. This gives a total of (10)(9)(8)(7) = 5040 four-digit codes.
For all odd digits to be used, there are 5 possibilities for the 1st digit (1,3,5,7,9), 4 for the 2nd, 3 for the 3rd, 2 for the 4th. This gives a total of (5)(4)(3)(2) = 120 codes that only use odd digits.
Therefore there are 5040 - 120 = 4920 codes that do not consist of all odd digits. The probability is 4920/5040 = 41/42.
Major arc is the remaining arc of the circle, so that
major arc+minor arc = 360 degrees.
For this particular problem,
Major arc = 360 - minor arc = 360-97=263 °
Hello!
Let's write this as an equation below.
310/3+d=295/d
As you can see, we can cross-multiply this proportion giving us the equation below.
310d=295(3+d)
310d= 295d+885
Now, we subtract 295d from both sides.
15d=885
Now we divide both sides of the equation by 15.
d=59
Therefore, Dana travels 59 mph.
I hope this helps!
The number (variable n) would be 7. work is in the pic