Answer:
C
Step-by-step explanation:
I took the test
Answer:
B. the variability around the regression line.
Step-by-step explanation:
The standard errors represents the distance (how sparse) the observed values fall from the regression line.
Standard errors for regression are measures of the spread of variables around the average (regression line)
The standard error is dependent on the standard deviation of the observations and the reliability of the test.
When the test is perfectly reliable, the standard error is zero and when unreliable, it is equal to the standard deviation of the observations.
16 meters
explanation:
8+8(since there’s two sides) =16
48-16=32
32/2= 16
so, each longer side is 16 meters
<span>Presumably you are saying that the 7.5% is the actual real effective per annum rate since you did not include a compounding interval. Therefore if you let R = 1.075 which is 7.5%, X = $1,000 and F(n) be the balance after n years then you can figure it out by thinking about what happens. After one year, your balance is:
F(1) = X * R
After two years, your balance is:
F(2) = ( F(1) +X ) * R
.:
F(2) = X * R^2 + X * R
After three years, your balance is:
F(3) = ( F(2) + X ) * R
F(3) = X * R^3 + X * R^2 + X * R
You can see that the general form is:
F(n) = X * summation of R^k for k = 1 to n
Applying the summation of a geometric sequence equation and you get:
F(n) = X * ( ( 1 - R^(n+1) ) / ( 1 - R ) - 1 )
Therefore the total value of the investments after 10 years is:
F(10) = $1,000 * ( ( 1 - 1.075^11 ) / ( 1 - 1.075 ) - 1 )
F(10) = $15,208.12
If you blindly use the programs in the business calculators, you'll get the wrong answer of $14,147.09 because those calculators assume that the deposit is made at the end of the year not at the beginning. The equation is slightly easier to work out that way as the summation of the geometric sequence would be for k from 0 to n-1. That's one of the downfalls of relying on those calculators, you don't actually understand what's happening.
Now the portion of that which is from the first $1,000 payment is $1,000 * 1.075^10 which is $2,061.03</span><span>
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The simplified expression of the complex number 6! - 3! is another complex number 6i(1 - 0.5)
<h3>How to simplify the expression?</h3>
The complex number expression is given a:
6! - 3!
Factor out i from the expression
6! - 3! = i(6 - 3)
Factor out 6 from the expression
6! - 3! = 6i(1 - 0.5)
The above means that the simplified expression of the complex number 6! - 3! is 6i(1 - 0.5)
Read more about complex numbers at:
brainly.com/question/10662770
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