Answer:
(b) Find the odds in favor of Lena winning a headset
Step-by-step explanation:
The area of the triangle with vertices
is
.
Inserting numerical values, the are of the triangle with vertices (0, 0), (6, 2), (4, 8) is

Answer:
.125
Step-by-step explanation:
(.5)^2(.5)^1= .125
Where (.5)^2 is the probability two mice turn left multiplied by (.5) that one of them turns right.
Answer:
<em>C(19)=12 responses</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function can be expressed as follows:

Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.
This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.
The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:

Calculating:

We are required to calculate the number of responses at day t=19, thus:

C(19)=12 responses
2m+5=5(m-7)-3m
first, use distributive property...
2m+5=5m-35-3m
next, combine like terms on the right side...
2m+5=2m-35
next, subtract 2m from both sides.
2m+5=2m-35
-2m -2m
you will get....
5=-35 in which is not true. This means the equation has no solution.