Answer: Noah is right. If the mean for the second lake is 60ft and the first lake is 45ft, the second lake has an average depth that is 15 feet deeper.
The standard deviations also indicate that the second lake has some even deeper spots, and even the shallower spots of the second lake are about the same as the shallow spots of the first lake.
Step-by-step explanation:
The answer is B. -7m+12.
First distribute the -2 to 6m and -5.
5m-2(6m-5)+2
5m+(-2*6m)+(-2*-5)+2
5m+-12m+10+2
After that, combine the like terms.
5m+-12m+10+2
-5m+-12m=-7m
10+2=12
The simplified expression is -7m+12.
Answer:
The 13th term is 81<em>x</em> + 59.
Step-by-step explanation:
We are given the arithmetic sequence:

And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

Find the common difference by subtracting the first term from the second:

Distribute:

Combine like terms. Hence:

The common difference is (7<em>x</em> + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

Where <em>a</em> is the initial term and <em>d</em> is the common difference.
The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

To find the 13th term, let <em>n</em> = 13. Hence:

Simplify:

The 13th term is 81<em>x</em> + 59.
Answer: He is Incorrect, It's 38
Work: For this question, I did the Cross-Product Method. The Cross Product Method is when you solve equation via to fractions. With the CPM, One one side of the fraction, I had x / 20 (Twenty being the whole number) and on the other side, I had 190/100 (190 being the percent) After setting this up, I made the equation. 190 times 20 is 3800, and the other multiplication is 100 times x which is 100x. So, the new equation is 3800 = 100x. I divided both sides by 100, and the answer is 38 = x
<em>I hope this helps, and Happy Holidays! :)</em>
Answer:
Option (C): The Rome data center is best described by the mean. The New York data center is best described by the median.
Step-by-step explanation:
1. Rome
Minimum=0
Maximum=16
Median ,
Mean = 8
Standard Deviation(σ)=5.4
As, difference between , Maximum -Mean =Mean - Minimum=8
So, Mean will Worthy description to find the center of Data set, given about Rome.
2. New York
Minimum=1
Maximum=20
Median , Q2 = 5.5
Mean = 7.25
Standard Deviation(σ)=6.1
As, for New york , Mean is not the mid value, that is difference between Mean and Minimum is not same as Maximum and Mean.
As, you can see , the three Quartiles , are very close to each other, it means , other data values are quite apart from each other. So, Mean will not appropriately describe the given data.So, in this case Median will suitable to find the center.