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notsponge [240]
4 years ago
10

Is it true that a smaller standard deviation means the data set tended to cluster around the mean?

Mathematics
1 answer:
mel-nik [20]4 years ago
7 0
Yes it is true that a small deviation means the data set tended to cluster around the mean . 
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3 1/2 x 2 1/2 as a mixed number in simplest form. if correct you get brainliest
Helga [31]

Answer:

8 3/ 4

Step-by-step explanation:

3 1/ 2

×  

2 1 /2

=      

7 × 5

2 × 2

=  

35 /4

=  

8 3 /4

4 0
3 years ago
Read 2 more answers
In a class of P students, the average of test scores is 70. In another class the average test scores is 92. When scores of the t
Basile [38]

So, since averages are defined as:

\frac{\sum_{k=1}^{P} P_k}{P}=70

So, since P are the total number of elements and P_k is the P_kth student. This is saying if we sum over each student's score and divide it by the number of students, we should get P, which is true.

So, using that logic, the other class can be represented as:

\frac{\sum_{k=1}^{N} N_k}{N}=70

We can take both of these equations and multiply them by N:

\sum_{k=1}^{P} P_k=70P

\sum_{k=1}^N N_k=92N

So, if we want to find the average of this we should add both our equations then divide by P+N, which is the number of all the students.

\frac{\sum_{k=1}^{P} P_k+\sum_{k=1}^{N}N_k}{N+P}=\frac{70P+92N}{N+P}

To make this simpler we can replace our LHS with 86, since that's the average of both classes combined.

86=\frac{92N+70P}{N+P} \implies\\ 86N+86P=92N+70P \implies \\ 16P=6N \implies \\ \frac{16P}{N}=6 \implies \\ \frac{P}{N}=\frac{6}{16}

Simplified we would have P/N=3/8.

7 0
3 years ago
Convert each fraction to a decimal then a percent 4/25 3/11
sashaice [31]

Answer:

4/25=0.16=16%

3/11=0.27=27%

Step-by-step explanation:

5 0
3 years ago
Brody deposited 8,001 in a savings account with simple interest. Four months later the account held 8,267.70. What is the intere
Travka [436]

Answer:

R = 0.8333%/month

(R = 9.9996%/year)

Equation:

r = (1/t)(A/P - 1)

Calculation:

Solving your equation:

r = (1/4)((8267.7/8001) - 1) = 0.00833333

r = 0.00833333

Converting r decimal to R a percentage

R = 0.00833333 * 100 = 0.8333%/month

Calculating the annual rate

0.8333%/month × 12 months/year = 9.9996%/year.

The interest rate required to get a total amount, principal plus interest, of $8,267.70 from simple interest on a principal of $8,001.00 over 0.333333 years (4 months) is 0.8333% per month.

8 0
3 years ago
True or false: geometry is an axiomatic system where the accepted principles are undefined terms 0 and 1.
Andrei [34K]

Answer:

C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.

Step-by-step explanation:

The 4 basic characteristics of axiomatic systems are:

  • Undefined terms (or primitive terms)
  • Axioms (or postulates)
  • Theorems
  • Laws of logic

The undefined terms or primitive terms of geometry are points, lines and planes that at some point meet or join together. This is called incidence, since geometry studies their relationship. E.g. 3 lines that form a triangle on a plane.

4 0
3 years ago
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