Answer:
The piecewise functions accurately represents charges based on Ben's cell phone plan is :
Step-by-step explanation:
Let x be the minutes over cell phone
Let f(x) represents the piecewise function that represents the charges based on Ben's cell phone plan.
We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.
So,
We are also given that For any minutes over 200, Ben is charged $0.35 per minute.
So, Minutes over 200 = x-200
Hence the piecewise functions accurately represents charges based on Ben's cell phone plan is :
11.16 times 3.27 is 36.4932
Using it's formula, it is found that the mean of the discrete random variable is given by:
B. 30.47.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
Hence, considering the table, the mean of the discrete distribution is:
E(X) = 23 x 0.16 + 25 x 0.09 + 26 x 0.18 + 31 x 0.12 + 34 x 0.24 + 38 x 0.21 = 30.47.
Hence option B is correct.
More can be learned about the mean of a discrete random variable at brainly.com/question/26660401
#SPJ1
How about this (see attached image):
Use the four cuts as shown in the image (red lines).
Then assemble 5 equal squares by the numbers: 1 center square and the rest are pieced together using two pieces as shown. All five together add up to the same area as original square because we use all pieces.
The way one gets a hint toward a solution is to see how an area of a square of length 1 can be split into 5 equal square areas:
which indicates we need to find a a triangle with sides 2 and 1 to get the hypotenuse of the right length. That gave rise to the cut pattern (if you look carefully, there are triangles with those side lengths).
Answer:
Step-by-step explanation:
Absolute value = 5
Absolute valve of a number is always positive regardless of direction.
