Answer:
Mean: 53.75
Median: 60
Mode: 60
Range: lowest-10, highest-63
Step-by-step explanation:
The equation for a sequence is
an=a1+(n-1)d
Replace the variable with what you were given you get
37=-13+(n-1)5
Simplify
37=-13+5n-5
Combine like terms
37=5n-18
Reverse operations
55=5n
Simplify
n=11
The value of co-efficient of determination is 0.241.
<h3>What is the relationship between linear co-relation co-efficient and co-efficient of determination ?</h3>
The co-efficient of determination R² is similar to the linear correlation co-efficient.
We can think of co-relation of determination as a percentage. It gives us the data for how much percentage of data will fall within the linear co-relation.The higher the percentage the more data falls within.If the coefficient is 0.5 then 50% of data falls within the linear co-relation.
According to the given question
Linear correlation coefficient is -0.491
∴ Co-efficient of determination is (-.491)² which is equal to 0.241.
Learn more about Linear regression here :
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Answer:
SinZ = 4/5
Step-by-step explanation:
Hope it helps you!
u = 1+3e<span>-x</span>
so that (Don't forget to use the chain rule on e<span>-x</span>.)
du = 3e<span>-x</span>(-1) dx = -3e<span>-x</span> dx ,
or
(-1/3)du = e<span>-x</span> dx .
However, how can we replace the term e<span>-3x</span> in the original problem ? Note that
.
From the u-substitution
u = 1+3e<span>-x</span> ,
we can "back substitute" with
e<span>-x</span> = (1/3)(u-1) .
Substitute into the original problem, replacing all forms of x, getting
(Recall that (AB)C = AC BC .)