2. 9/6b^12
3. 27/8b^64
4. 27/8b^27
Answer:
Step-by-step explanation:
I'm going to assume that you accidentally missed a set of parentheses and that the expression is
Raise 2, , and to the third power:
When a variable raised to a power is raised to another power, the exponents are multiplied:
Negative powers are the positive power in the denominator:
Therefore, the answer is the second option.
The simplified form of the given mathematical expression (3/2b^4)^3 is 27/8b^12.
The simplified form of each expression (3/2b^4)^3 is calculated by cubing both the numerator and the denominator. Firstly, 3^3 gives 27, and then (2b^4)^3 simplifies to 8b^12. So the final answer is 27/8b^12. This means, out of the given options, the correct one is Option 1: 27/8b^12.
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A) The correlation is most likely due to a lurking variable.
B) The correlation is most likely causation.
C) The correlation is most likely a coincidence.
Answer:
C) The correlation is most likely a coincidence.
Step-by-step explanation:
By general comprehension of the population and their buying habits, I don't think we can really establish a relation between the sales of computers and the microwaves in a general manner. If the store is located near a university residence and it's September, there might be a link to be done, but in general, no.
It's not like some enters a store and says "Ok, will I buy a microwave or a computer today?". Those are two totally different products, with different clienteles and different needs.
Answer:
C) The correlation is most likely a coincidence.
Step-by-step explanation:
Correlation is described as interdependence of two entities on each other. The occurrence or change of one entity, changes the other entity as well.
Here, in the given question, we have been told that a manager finds a moderate negative correlation between the number of computer sales and the number of microwave sales in his store.
A computer and a microwave are completely separate entities. The two things are used for completely different purposes.
They have nothing in common and their increase in sales or decrease in sales are not based on each other.
Therefore, it just might be a coincidence for the manager to notice such correlation. So, option C is correct.
The cost per book is $3.41 thus the cost of buying 7 books will be $23.87 maintaining the given ratio.
The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
For example, a/b, where a will be the numerator and b will be the denominator.
As per the given,
The book fair had a sale where 6 books were $20.46.
Cost per book = 20.46/6 = $3.41
To buy 7 books,
The cost of buying 7 books at $3.41 per book will be,
⇒ 3.41 × 7 = $23.87
Hence "The cost per book is $3.41 thus the cost of buying 7 books will be $23.87 maintaining the given ratio".
For more information about ratios and proportions,
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