Answer:
2
----------
5w^11
Step-by-step explanation:
8/20 reduces to 2/5, and (w^(-2)) / w^9 becomes 1 / w^11.
Overall, #20 reduces to:
2
----------
5w^11
Recall the rule of exponents:
w^a
----------- = w^(a-b)
w^b
and note that
w^(-2)
------------ = w^(-2-9) = w^(-11) (same as above)
w^9
The value of the expression given as [3² * 3⁻⁵]/[5⁻²] is 25/27
<h3>How to evaluate the expression?</h3>
The expression is given as:
3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two
Rewrite properly as:
[3² * 3⁻⁵]/[5⁻²]
Apply the negative exponent law of indices
So, we have
[3² * 3⁻⁵]/[5⁻²] = [5²]/[3⁻² * 3⁵]
Apply the exponent law of indices
[3² * 3⁻⁵]/[5⁻²] = [5²]/[3³]
This gives
[3² * 3⁻⁵]/[5⁻²] = 25/27
Hence, the value of the expression given as [3² * 3⁻⁵]/[5⁻²] is 25/27
Read more about expressions at:
brainly.com/question/723406
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Answer:
The percentage of the markup is 82%
Step-by-step explanation:
In this question, we are asked to calculate the percentage of mark up. This is simply calculating the percentage of the profit margin.
firstly to be able to calculate this percentage, we need to know the value of the profit margin itself.
mathematically, the profit margin is selling price - cost price
From the question, the selling price is $1 while the cost price is 55 cents
The profit margin is thus $1 - 55 cents = 45 cents
We now proceed to calculate the percentage profit
mathematically, that is profit/cost price * 100%
That would be 45 cents/55 cents * 100 = 9/11 * 100% = 81.8 approximately 82%
Answer:
c) at most 11.1%
Step-by-step explanation:
We have the data that is 97 ± 12, with 97 being the mean and 12 the standard deviation.
Now, the percentage of people who reached them for less than 73 dollars, if it were a normal distribution:
z = (73 - 97) / 12 = - 2
so it would be, a probability of 0.0228 or 0.228%.
But we don't know what distribution it has, but we can get an idea.
A and D discarded, as they are very high values, and 73 is well below the average.
B) is still a very high value.
Therefore the answer is C, at most 11.1%
