16, 5, 28 from top to bottom
Answer:
a) y = 0.74x + 18.99; b) 80; c) r = 0.92, r² = 0.85; r² tells us that 85% of the variance in the dependent variable, the final average, is predictable from the independent variable, the first test score.
Step-by-step explanation:
For part a,
We first plot the data using a graphing calculator. We then run a linear regression on the data.
In the form y = ax + b, we get an a value that rounds to 0.74 and a b value that rounds to 18.99. This gives us the equation
y = 0.74x + 18.99.
For part b,
To find the final average of a student who made an 83 on the first test, we substitute 83 in place of x in our regression equation:
y = 0.74(83) + 18.99
y = 61.42 + 18.99 = 80.41
Rounded to the nearest percent, this is 80.
For part c,
The value of r is 0.92. This tells us that the line is a 92% fit for the data.
The value of r² is 0.85. This is the coefficient of determination; it tells us how much of the dependent variable can be predicted from the independent variable.
Answer:
(x+9)(x+4)
Step-by-step explanation:
We wish to factor x²+13x+36 into the form of (x+p)(x+q) where p+q=13 and pq=36.
Factors of 36: 1, 2, 3, 4, 6, 9, 12. 18, 36
Notice that 9+4=13 as 9*4=36, which satisfies the values of p and q
This means x²+13x+36 can be factored into (x+9)(x+4)
The answer to your question is -20 i hope this helps!
Answer:
A. m(-1)^(n-1)
Step-by-step explanation:
The degree of m doesn't change so none of the expressions with n as an exponent of m can possibly be correct. That leaves only choice A.
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You will find that when alternating signs are required, the term (-1)^n will be a factor. An offset of ±1 can be added to the n to make the initial sign be what you want. Here we want +1 for n=1, so an exponent of (n-1) is appropriate.
