Answer:
$13.
Step-by-step explanation:
Let x represent money that Alison has.
We have been given that Leo has 7 times as much money as Alison had. So the amount of money that Leo has, would be
.
We are also told that Leo had $91, so we will equate
with 91 and solve for x as:

To solve for x, we will divide both sides by 7:


Therefore, Alison has $13.
Answer:
(a) The Expected value of the job satisfaction score for senior executives is 4.05.
(b) The Expected value of the job satisfaction score for middle managers is 3.84.
(c) The Variance of job satisfaction scores for executives and middle managers is 1.13
(d) The Standard Deviation of job satisfaction scores for both probability distributions 1.11 and 1.06.
Step-by-step explanation:
Explanation with steps is in the following attachments.
Answer:
okay let's start
Step-by-step explanation:

Answer:
20
Step-by-step explanation:
Answer:
- maximum height: 498 ft
- distance from point of release: 70 ft
Step-by-step explanation:
A graphing calculator can show the answers to these questions.
___
For quadratic ax²+bx+c, the x-value of the vertex is ...
x = -b/(2a)
For the given expression, the vertex is ...
x = -14/(2(-0.1)) = 70
The distance from the point of release to the point of maximum height is 70 feet.
__
The height of the ball at that point is ...
f(70) = (-0.1·70 +14)70 +8 = 7·70 +8 = 498 . . . . feet
The maximum height is 498 feet.