Answer:
9 / 64
Step-by-step explanation:
- In this task you have 2 events and you are looking for a joint probability. The first event is "Rebecca chooses a poodle". The probability of this event is:
P ( Rebecca chooses a poodle ) = 3 / 8
- because among 8 dogs there are 3 poodles.
- The second event is "Aaron selects a poodle".
This event has a probability of that is equivalent to previous selection:
P ( Aaron chooses a poodle ) = 3 / 8
- Because after Rebecca's choice the chosen poodle is replaced with the poodle; hence, there are 8 pets in total and among them there are 3 poodles.
- To calculate probability of both events ("Rebeca selects a poodle and Aaron selects a poodle") with replacement you have to multiply both calculated probabilities - condition of independent events :
P ( Aaron and Rebecca both select poodle ) = 3 / 8 * 3 / 8
= 9 / 64
Answer:
Option D is the correct answer
Step-by-step explanation:
The x intercepts of the parabola are the solutions of the equation. These points can be determined either by graphical method or by solving the quadratic equation with any of the methods of solving a quadratic equation.
In order to use the graphical method, values of x are picked and substituted into the equation to get corresponding values of y. The y values are plotted against the x axis and the parabola (downward) is drawn. The points where it cuts the horizontal axis become the solutions of the equation
y = x^2 - 9x + 18
Solving the equation by using the factorization method,
x^2 - 9x + 18 = 0
x^2 - 6x - 3x + 18 = 0
x(x-6)-3(x-6)
(x-6)(x-3) = 0
x -6 = 0 or x -3 = 0
x = 6 or x = 3
The x-intercepts are (3, 0) and (6, 0)
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
radius = √98
center = (5.9,6.7)
equation of the circle = ?
Step 02:
Equation of the circle
(x - a) ² + (y - b) ² = r ²
(a , b) = center
(x - 5.9) ² + (y - 6.7) ² = (√98) ²
(x - 5.9) ² + (y - 6.7) ² = 98
The answer is:
(x - 5.9) ² + (y - 6.7) ² = 98
Answer:
Step 1: Define Desired Outcomes and Actions. ...
Step 2: Endorse the Process. ...
Step 4: Develop Alternatives or Options. ...
Step 5: Evaluate, Select, and Refine Alternative or Option. ...
Step 6: Finalize Documentation and Evaluate the Process.
Step-by-step explanation:
