Who is taking in more calories if the small bags of Snickers are the exact same size: A person in a group where 5 people are sha
1 answer:
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1) Change radical forms to fractional exponents using the rule:
The n<span>th root of "</span>a number" = "that number" raised to the<span> reciprocal of n.
For example </span>![\sqrt[n]{3} = 3^{ \frac{1}{n} }](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7B3%7D%20%3D%20%20%203%5E%7B%20%5Cfrac%7B1%7D%7Bn%7D%20%7D)
.
The square root of 3 (
) = 3 to the one-half power (
).
The 5th root of 3 (![\sqrt[5]{3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7B3%7D%20)
) = 3 to the one-fifth power (
).
2) Now use the product of powers exponent rule to simplify:
This rule says
. When two expressions with the same base (a, in this example) are multiplied, you
can add their exponents while keeping the same base.
You now have
. These two expressions have the same base, 3. That means you can add their exponents:
3) You can leave it in the form
or change it back into a radical ![\sqrt[10]{3^7}](https://tex.z-dn.net/?f=%20%5Csqrt%5B10%5D%7B3%5E7%7D%20)
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Answer: or
The n<span>th root of "</span>a number" = "that number" raised to the<span> reciprocal of n.
For example </span>
The square root of 3 (
The 5th root of 3 (
2) Now use the product of powers exponent rule to simplify:
This rule says
You now have
3) You can leave it in the form
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Answer:
Dot plots are used to represent data using dots
The true statements about the dataset are:
- The range of the number line should be 0 to 7 to represent the frequency.
- Four families said they ate out twice the previous week.
- One family said they ate out 5 times the previous week
The dataset is given as:
4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1
Rearrange in ascending order
0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 5, 6
Represent as a frequency table
Data Frequency
0 2
1 2
2 4
3 0
4 2
5 1
6 1
See attachment for the dot plot
From the attachment, we can see that:
- 4 has a frequency of 2
- 5 has a frequency of 1
Also, the range on the dot plot can be 0 to 7, because it covers the given dataset
Hence, the true statements are: (a), (b) and (c)
Read more about dot plots at:
