Answer:
The estimated weight is in the range:
75.6 pounds Weight
92.4 pounds
Step-by-step explanation:
Since, the maximum error is 10%.
Therefore, the maximum and minimum vales will be 10% more and 10% less than 84 pounds, respectively.
<u>For Maximum Limit</u>:
= (1.1)(84 pounds)
= <u>92.4 pounds</u>
<u>For Minimum Limit</u>:
= (0.9)(84 pounds)
= <u>75.6 pounds</u>
Hence, the estimated weight is in the range:
75.6 pounds Weight
92.4 pounds
Answer:
2^3 X 2^5 = 2^8
when multiplying indices with the same base number just add the indices
This is a problem of Permutations. We have 3 cases depending on the number of B's. Since no more than three B's can be used we can use either one, two or three B's at a time.
Case 1: Five A's and One B
Total number of letters = 6
Total number of words possible =
Case 2: Five A's and Two B's
Total number of letters = 7
Total number of words possible =
Case 3: Five A's and Three B's
Total number of letters = 8
Total number of words possible =
Total number of possible words will be the sum of all three cases.
Therefore, the total number of words that can be written using exactly five A's and no more than three B's (and no other letters) are 6 + 21 + 56 = 83