Question 1
Total budget sums up to 180 + 475 + 15 + 50 + 65 + 25 + 150 + 30 = $990.
Actual expenditure amounts to 182 + 475 + 12 + 65 + 68 + 12.50 + 150 + 36 = $1000.5.
Mae Green surpassed her designated budget.
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Question 2
Eleanor:
Earned = 380.48
Spent = 16.50
Peter:
Earned = 120 + 13.65 + 100 = 233.65.
Combined total income = 233.65 + 380.48 - 16.50 = 597.63.
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Question 3
Aggregate expenditure = 540 + 48.55 + 34.15 + 12.80 + 18.95 + 38.60 + 2 + 6.50 = 701.55.
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Question 4
Marie's updated balance = 250.65 - [21.95+48.50+75.60] + 55 = $159.50.
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Question 5
[235/825] × 100 = 28.48%
Gerry has 25 more basketball cards than he does baseball cards. Step-by-step explanation: Gerry owns a total of 50 sports trading cards. Among these, one-fifth are baseball cards, meaning he has 10 baseball cards. One-tenth of his collection consists of football cards, so he has 5 football cards. The remainder are basketball cards, leading to the conclusion that he has 35 basketball cards. The difference in quantity between his basketball and baseball cards is 25.
Response:
The problem is summarized in the following explanation segment.
Detailed explanation:
The estimate of the slots or positions lost due to simultaneous transmission attempts can be calculated as follows:
Evaluating the likelihood of transmitting gives us "p".
When considering two or more attempts, we arrive at
Fraction of slots wasted,
= ![[1-no \ attempt \ probability-first \ attempt \ probability-second \ attempt \ probability+...]](https://tex.z-dn.net/?f=%5B1-no%20%5C%20attempt%20%5C%20probability-first%20%5C%20attempt%20%5C%20probability-second%20%5C%20attempt%20%5C%20probability%2B...%5D)
Substituting the values yields
= ![1-no \ attempt \ probability-[N\times P\times probability \ of \ attempts]](https://tex.z-dn.net/?f=1-no%20%5C%20attempt%20%5C%20probability-%5BN%5Ctimes%20P%5Ctimes%20probability%20%5C%20of%20%5C%20attempts%5D)
= ![1-(1-P)^{N}-N[P(1-P)^{N}]](https://tex.z-dn.net/?f=1-%281-P%29%5E%7BN%7D-N%5BP%281-P%29%5E%7BN%7D%5D)
Thus, the answer appears to be correct.
To calculate total earnings: 40 hours multiplied by $8.95 leads to earnings of $358. After deducting expenses, the total earnings would be $358 - ($35.24 + $24.82 + $21.33) = $276.61.
The first equation is x + y = 29, and the second is 5x + 2y = 100.
