A tree is 66 inches tall. How tall is it in feet and inches?
2 answers:
You might be interested in
Answer:
see explanation
Step-by-step explanation:
The equation of a 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, - 14), thus
y = a(x + 3)² - 14
To find a substitute (0, - 13) into the equation
- 13 = 9a - 14 ( add 14 to both sides )
9a = 1 ( divide both sides by 9 )
a = , hence
y = (x + 3)² - 14 ← equation of parabola
To find the x- intercepts let y = 0
(x + 3)² - 14 = 0
Multiply through by 9
(x + 3)² - 126 = 0 ( add 126 to both sides )
(x + 3)² = 126 ( take the square root of both sides )
x + 3 = ± = ± 3
Subtract 3 from both sides
x = - 3 ± 3
The x- intercepts are therefore
x = - 3 - 3 ≈ - 14.22 ( to 2 dec. places ) or
x = - 3 + 3 ≈ 8.22 ( to 2 dec. places )
<h3>Given</h3>
.15 of employees are managers
.25 of employees are MBAs
.60 of managers are MBAs
<h3>Find</h3>(a) proportion of employees who are managers with MBA
(b) proportion of MBAs who are managers
(c) whether MBA and manager are independent
<h3>Solution</h3>(a) Your answer of 0.60×0.15 = 0.09 is correct
(b) 0.09 of the 0.25 of employees who are MBAs are managers. .09/.25 = 0.36
(c) No. P(MBA | manager) = 0.60 ≠ P(MBA) = 0.25
_____
The only calculation necessary is the one you did for part (a). Other answers can be based directly on the given data. The chart below is unnecessary.