Distance is calculated by the square root of (x2-x1)^2 + (y2-y1)^2
We simply substitute the values into this formula
Square root of (3--5)^2 + (0-1)^2
Which is 8
Answer:
range of scores on final exam student get B is 90 to 100
Step-by-step explanation:
given data
Psychology 101 score = 66
average of his midterm = between 78 and 90
maximum = 100 points
to find out
range of scores on final exam student get B
solution
we consider here lowest marks need in final = x
so average at two marks should be
equation is
average marks = 0.5 × ( mid term marks + final marks ) .................1
put here value
78 = 0.5 × ( 66 + x )
x = 90
and
90 = 0.5 × ( 66 + x )
x = 114
so range 90 to 114
but maximum marks is 100 so
range of scores on final exam student get B is 90 to 100
we have

This is a mixed number
we know that
A mixed number is a combination of a whole number and a fraction.
So
is equal to

where
is the whole number
is the fraction

therefore
the answer is

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