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Dominik [7]
3 years ago
6

A cell phone provider offers a plan that costs ​$40 per month plus ​$0.20 per text message sent or received. A comparable plan c

osts ​$60per month but offers unlimited text messaging. Complete parts a. and b. below. a. How many text messages would have to be sent or received in order for the plans to cost the same each​ month? In order for the plans to cost the​ same,____ text messages would have to be sent or receive? How would you graph both equations
Mathematics
1 answer:
Sophie [7]3 years ago
5 0
As an equation? Please elaborate.
  
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1/4 to the 4th power
DENIUS [597]

Answer:

(1/4)^4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A fair die is rolled nine times. What is the probability that
Lisa [10]

Answer:

The answer is 46/512 = 0.08984375

Step-by-step explanation:

In this question, success means to get an odd number on rolling a die.

The probability of success p = 3/6 = 1/2

So                                             p = 1/2

Now lets find probability of failure q

q = 1 - p = 1 - 1/2 = 1/2

So                                             q = 1/2

Let X  = x denotes the number of success in  n  trials.

So X  is a Binomial Random Variable

Which has the following parameters:

                                                n  = 9

as the fair die is rolled nine times and

                                                p = 1/2

Now the Probability of  x  success out of  n  trials P( X = x) is:

P(X = x) = p(x) =  nCx pˣ , qⁿ⁻ˣ , x= 0,1,2,...,9

P(X = x) = p(x) = nCx (1/2)⁹ = ₉Cₓ (1/2)⁹ = ₉Cₓ /512

Since the required probability is P (X < 3) So

P(X < 3) = P(X = 0) + P( X = 1) + P(X = 2)

             = 1 / 512 {₉C₀ + ₉C₁ + ₉C₂}                             nCr = n! / r! * (n - r)!

           

             = 1 / 512{ (9! / 0! * (9 - 0)!) + (9! / 1! * (9 - 1)!) + (9! / 2! * (9 - 2)!) }

             = 1 / 512 { 1 + 9 + 36 }

             = 46 / 512 =  0.08984375

So the required probability is 46/512

5 0
3 years ago
You buy a new video game for $59.99
vivado [14]
$64.79 would be the cost after tax is added
3 0
3 years ago
Express… As a limit of a right Reimann sum
kobusy [5.1K]

answer

the answer is 36

3 0
2 years ago
Let u= &lt;4,3&gt;. Find the unit vector in the direction of u, and write your answer in component form.
aksik [14]
Take the vector u = <ux, uy> = <4, 3>.

Find the magnitude of u:

||u|| = sqrt[ (ux)^2 + (uy)^2]

||u|| = sqrt[ 4^2 + 3^2 ]

||u|| = sqrt[ 16 + 9 ]

||u|| = sqrt[ 25 ]

||u|| = 5

To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is

u/||u||

u * (1/||u||)

= <4, 3> * (1/5)

= <4/5, 3/5>

and there it is.

Writing it in component form:

= (4/5) * i + (3/5) * j

I hope this helps. =)
3 0
3 years ago
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