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Answer:
a: 16807
b: 0.0000595
Step-by-step explanation:
(a): We have 7 possibilities of numbers, and we need to choose 5 numbers that can repeat. So, for each of the 5 numbers, we have 7 possibilities. To determine how many codes are possible, we just need to multiply the number of possibilities of each of the 5 numbers, so we have 7x7x7x7x7, or 7^5, which is 16807 possibilities.
(b): to put the correct code in the first try, we need to find the exact combination (just one combination) among these 16807 possibilities, so the probability is 1/16807, which is 0.0000595, or 0.00595%.
0.95 I think this is the answer. If you get it wrong I’m sorry.
2^5 = 32
2^-4 = 1/16
5^3 = 125
5^-2 = 1/25
^ means exponent
I don’t know why you needed help this is easy
4/3 * 3.14 * 6^3
4/3 * 3.14 * 216
4/3 * 678.24
904.32
Answer is 904.32