The math department is putting together an order for new calculators. The student are asked what model and color they prefer
1 answer:
Answer:
The second option
Step-by-step explanation:
Please find attached the complete question in the attached image
the proportion of students that like the silver calculator is 0.4 while the proportion of students that like the black calculator is 0.6. More students like the black calculator
the proportion of students that prefer the black model 77 calculator is 0.3 while the proportion of students that prefer the silver model 55 is 0.25. More students prefer the black model 77 calculator
the proportion of students that prefer the model 66 calculator is 0.15 while the proportion of students that prefer the model 55 calculator is 0.35. More students prefer the model 55
the fewest student prefer the silver model 66 calculator because it has the lowest proportion
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Answer:
see explanation
Step-by-step explanation:
the equation of parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier.
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute any other point on the graph into the equation.
using (0, 7 )
7 = a(0 - 3)² + 1 ( subtract 1 from both sides )
6 = a(- 3)² = 9a ( divide both sides by 9 )
=
= a
y = (x - 3)² + 1 ← in vertex form
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the equation of a parabola in factored form is
y = a(x - a)(x - b)
where a, b are the zeros and a is a multiplier
here zeros are - 1 and 3 , the factors are
(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)
y = a(x + 1)(x - 3)
to find a substitute any other point that lies on the graph into the equation.
using (0, - 3 )
- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
1 = a
y = (x + 1)(x - 3) ← in factored form