A. 5 digit code with digits from 0-9 with no repetition.
Choices for 1st digit=10, and choices for successive digits are 9,8,7,6.
Probability of guessing it correctly on first try is
1/(10*9*8*7*6) = 1/30240
B. If zero is not in the combinations, then the domain of digits is 1-9, or 9 choices. Digits can repeat means every digit in the code has 9 choices.
Number of arrangements = 9^5 = 59049
Probability of guessing at first try = 1/59049
Shorter <span>piece = x
longer </span><span>piece = 4x
x + 4x = 48.5
5x = 48.5
x = 48.5/5
x = 9.7 cm </span>← shorter piece
longer piece = 4x = 4 * 9.7 = 38.8 cm
Let x be the number of miles on the second day
X/17.4=1.12
X=17.4*1.12
X=19.5 miles
Hope this helps!
Answer:
The last one, angle D equals to angle T
Step-by-step explanation:
Using the theorem of the triangle we know that the total number measure of the angles is 180 degrees. Therefore, solving the second triangle will give us that the angle T is equal to 60.
This is equal to angle D.
Hope this helps.
X + y = 400
8x + 5y = 2750
-5x - 5y = -2000
8x + 5y = 2750
3x = 750
250 adult tickets
150 children tickets