Answer: she combined the constants incorrectly in the last step.... i just got it right on the test
The mixed number to 18/8 is 2 and 1/4
To find this out you multiply 8 to get to 18, yet 8 only goes to 16 before going over 18, so 8 can multiply 2 times.
The 2 will be your whole number
and since there is 2 numbers left (18-16=2) that would be the numbers left over giving you 2 2/8.
yet the 2/8 can be simplified to 1/4 giving you 2 1/4 as your answer.
Hoped this helped!
0.21951 Reapeating cause the decimal does not terminate
The solution of the given inequality is x<-9.
<h3>What is inequality?</h3>
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given inequality is |x + 10|| <1. The inequality will be solved as below:-
|x + 10|| <1
Take 10 to the right side of the inequality and solve it further.
|x || <1 - 10
x < -9
Therefore, the solution of the given inequality is x<-9.
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Answer:
58.05% probability that at least 1 of the students is a senior.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the captains are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Either no seniors are captain, or at least one is. The sum of these probabilities is 100%. The easier way to solve this question is finding the probability of no seniors being captain, and subtratcing 100 from this. So
Probability of no seniors being captain:
Desired outcomes:
Four captains, from a set of 18 + 18 + 15 = 51. So

Total outcomes:
Four captains from a set of 18 + 18 + 15 + 12 = 63. So

Probability:

41.95% probability of no seniors being captains.
Find the probability that at least 1 of the students is a senior.
p + 41.95 = 100
p = 58.05
58.05% probability that at least 1 of the students is a senior.