Answer: There are 9 outcomes in this experiment.
Step-by-step explanation:
Rock-Paper- Scissor is a simple game, in which Rock beats scissor, scissor beats paper, paper beats rock. If any two people made the same gesture it will be a tie.
So if two roommates are playing the game , total outcomes in the sample space = 3 x 3 [By fundamental principal of counting]
= 9
Hence, there are 9 outcomes in this experiment.
The series as represented in the task content is divergent and hence; diverges.
<h3>What convergence and divergence in series?</h3>
It follows from the task content that the series defined by the summation expression as represented above is to be identified as divergent or convergent.
It is noteworthy to know that;
If a sequence converges, it means that the limit of the sequence exists as n → ∞. Also, if the limit of the sequence as n → ∞ does not exist, Then, such series is said to diverges.
Therefore, by evaluation as the limit of the expression k sin²k / 1 + k³ as k → ∞ is; Undefined and hence does not exist.
Read more on convergence and divergence of series;
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Answer:
30.1%
Step-by-step explanation:
The increase in price (markup) is ($3.45 - $2.65) = $0.80.
The increase in price (as a decimal fraction) is 0.80/2.65, or 0.301; as a percentate, this is 30.1%
The <em><u>correct answer </u></em>is:
B. 14
Explanation:
Let x be the number of days. On day 1, we begin with 64 orders. We gain 18 orders per day; this is 18x, and gives us
64+18x.
We also make 28 crates per day, which decreases the number of crates we need by 28 per day; this is -28x, and gives us
64+18x-28x
Combining like terms, we get
64-10x
For day 5, we replace x with 5:
64-10(5) = 64-50 = 14