The mean of a sequence of numbers is the average.
The true statement is: 
The given parameters are:
The mean of a dataset is calculated as:
So, we have:
Multiply both sides by m
When the sequence is split into two, we have:
Where:
So, we have:
Hence, the true statement is:
Read more about mean and averages at:
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Answer:
m = 5
Step-by-step explanation:
We are told that the two triangles are similar. Thus, each side of the larger triangle is the same multiple of the corresponding side in the smaller triangle.
Thus, 12 = k(7.2), where k is the constant of proportionality.
Solving this for k, we get
k = 12/7.2 = 1 2/3
Thus, side m is 1 2/3 times 3, or 5/3 times 3, or just 5.
m = 5
Hello! 3.5% in decimal form is 0.035. You add 1 to that to get 1.035. B is out, because that number is too high. A is out, because it doesn't add 1. The formula for compound interest is P(1 + r)^t. D is also out, because it incorrectly interprets 3.5% in decimal form. The correct form is 3,500(1.035)^t. The only one that shows this is C. Therefore, the answer is C.
Answer: 0.129
Step-by-step explanation:
Coach Collin's soccer team selected 16 girls from 124 girls who tried out for the team.
The fraction of girls selected to those who tried out in fraction form is:
= 16/124
The decimal form will be:
= 16 ÷ 124
= 0.129
The appropriate formula for the accumulated amount (A) for a given principal (P), interest rate (r), and time period (t) is ...
... A = P·e^(rt)
Filling in the given numbers and doing the arithmetic, we get
... A = $25,000·e^(.043·8) ≈ $35,264.46
