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Naddik [55]
3 years ago
8

hui'a phone plan includes a monthly charge of $12 plus $0.30 per text that Hui sends. What expression gives the amount on dollar

s that Hui must pay for a month in which Hui sends t texts?
Mathematics
1 answer:
k0ka [10]3 years ago
4 0

Answer:

12 + t = A (amount spent)



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nata0808 [166]
Count:5Sum:341Mean:68.2Median:62Mode:48, 40, 93, 62, 98
6 0
3 years ago
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Use the following function to find the value of each operation.
Murljashka [212]
<h2>Evaluating Composite Functions</h2><h3>Answer:</h3>

w(f(m(2))) = 593

<h3>Step-by-step explanation:</h3>

We can write how w(f(m(x))) will be defined but that's too much work and it's only useful when we are evaluating w(f(m(x))) with many inputs.

First let's solve for m(2) first. As you read through this answer, you'll get the idea of what I'm doing.

Given:

m(x) = -4x +1

Solving for m(2):

m(2) = -4(2) +1 \\ m(2) = -8 +1 \\ m(2) = -7

Now we can solve for f(m(2)), since m(2) = -7, f(m(2)) = f(-7).

Given:

f(x)=3x-1

Solving for f(-7):

f(-7)=3(-7)-1 \\ f(-7) = -21 -1 \\ f(-7) = -22

Now we are can solve for w(-22). By now you should get the idea why w(f(m(2))) = w(-22).

Given:

w(x) = x^2 -5x -1

Solving for w(-22):

w(-22) = (-22)^2 -5(-22) -1 \\ w(-22) = 484 -5(-22) -1 \\ w(-22) = 484 +110 -1 \\ w(-22) = 593

8 0
3 years ago
Give the positive solution of x^2 – 36 = 5x.
andriy [413]
The equation given in the question is 

x^2 - 36 = 5x
x^2 - 5x - 36 = 0
x^2 - 9x + 4x - 36 = 0
x(x - 9) + 4(x - 9) = 0
(x - 9) (x + 4) = 0
From the above set we can say that x = 9 is the positive solution of the equation given in the question. I hope that this is the answer that you were looking for and it has come to your great help.
5 0
3 years ago
Does the ratio 15/12 and 5/4 form a proportion?
Tanya [424]

Answer:

yes

Step-by-step explanation:

5 times 3 is 15 and 12 and 15 and 12 divided  by  3 you will get 5/4

4 0
3 years ago
The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a
Leya [2.2K]

Answer:

a) 0.25

b) 52.76% probability that a person waits for less than 3 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \lambda e^{-\lambda x}

In which \lambda = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

In this question:

m = 4

a. Find the value of λ.

\lambda = \frac{1}{m} = \frac{1}{4} = 0.25

b. What is the probability that a person waits for less than 3 minutes?

P(X \leq 3) = 1 - e^{-0.25*3} = 0.5276

52.76% probability that a person waits for less than 3 minutes

3 0
3 years ago
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