Answer:
a
Step-by-step explanation:
Well, this is a stem and leaf problem.
The numbers are 20, 28, 29, 29, 31, 32, 36, 41, and 42.
In order to solve for the mean, we find the average and we add the numbers together and divide by 9(there are 9 numbers).
The mean is 32.
The median is the middle number, or 31.
The restrictions on the variable of the given rational fraction is y ≠ 0.
<h3>The types of numbers.</h3>
In Mathematics, there are six (6) common types of numbers and these include the following:
- <u>Natural (counting) numbers:</u> these include 1, 2, 3, 4, 5, 6, .....114, ....560.
- <u>Whole numbers:</u> these comprises all natural numbers and 0.
- <u>Integers:</u> these are whole numbers that may either be positive, negative, or zero such as ....-560, ...... -114, ..... -4, -3, -2, -1, 0, 1, 2, 3, 4, .....114, ....560.
- <u>Irrational numbers:</u> these comprises non-terminating or non-repeating decimals.
- <u>Real numbers:</u> these comprises both rational numbers and irrational numbers.
- <u>Rational numbers:</u> these comprises fractions, integers, and terminating (repeating) decimals such as ....-560, ...... -114, ..... -4, -3, -2, -1, -1/2, 0, 1, 1/2, 2, 3, 4, .....114, ....560.
This ultimately implies that, a rational fraction simply comprises a real number and it can be defined as a quotient which consist of two integers x and y.
<h3>What are
restrictions?</h3>
In Mathematics, restrictions can be defined as all the real numbers that are not part of the domain because they produces a value of 0 in the denominator of a rational fraction.
In order to determine the restrictions for this rational fraction, we would equate the denominator to 0 and then solve:
23/7y;
7y = 0
y = 0/7
y ≠ 0.
Read more on restrictions here: brainly.com/question/10957518
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Complete Question:
State any restrictions on the variables 23/7y
<h3>
Answer: 98%</h3>
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Explanation:
The customer saves 15%, but still pays the remaining 85%. The two percentages add to 100%.
85% of $900 = 0.85*900 = 765
After the 15% discount is applied, the customer would pay $765
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Then after the sale, the price is marked up by 15%
This means we'll multiply by 1.15 to indicate a 15% increase
1.15*765 = 879.75
Notice that we don't get back to the original price (900) even though we increased by the same percentage as before. This is because 15% of a smaller number is a smaller amount; ie we have a smaller increase compared to the decrease earlier.
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Afterwards, divide the value 879.75 over the original price of $900
879.75/900 = 0.9775
Move the decimal point two spots to the right to end up with 97.75%
That percentage rounds to 98% when rounding to the nearest whole percent.
