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Mama L [17]
3 years ago
11

A long distance phone service charges $0.30 for the first 10 minutes and $0.05 for each additional minute or fraction thereof. U

se the greatest integer function to write the cost C of a call in terms of time t (in minutes). Sketch the graph of this function and discuss its continuity.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0

Answer: Our Cost function is discontinuous at every integer after x>10.

Step-by-step explanation:

Since we have given that

For the first 10 minutes , the service charges = $0.30

Let the number of additional minute be 't'.

Amount charge for each additional minute = $0.05

Using the greatest integer function:

So, Cost C of a call in terms of time 't' minutes would be

C=0.03+0.05\left \lceil t-10 \right \rceil

As we know that Greatest integer is discontinuous at every integer.

So, our Cost function is discontinuous at every integer after x>10.

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A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is th
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Answer: 1,811 square foot

Step-by-step explanation:

Hi, to answer this question we have to solve the equation given, by substituting P = 4,148 and f=190 in the equation.

P = 1.85s + 4.2f

4,148 = 1.85s +4.2 (190)

Solving for s:

4,148 = 1.85s +798

4,148-798 =1.85s

3,350 = 1.85s

3,350/1.85 =s

s = 1,810.81 = 1,811 square foot  (rounded)

Feel free to ask for more if needed or if you did not understand something.

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3 years ago
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The standard deviation is a better measure of spread for movies than it is for basketball games.

<h3>What is box- plot?</h3>

A box plot is a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

As, Movies is more centric to mean and not skewed on a particular side whereas basketball games is not centric to mean but is skewed right then left.

Now, Standard deviation just measures the deviation or spread with respect to mean of collected data.

So, In the movies the data is more collected. Thus standard deviation is best suited for movie data.

Now, interquartile range. IQR relies on if the data is skewed.

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Hence, the  standard deviation is a better measure of spread for movies than it is for basketball games.

Learn more about this concept here:

brainly.com/question/17157714

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Answer:

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Step-by-step explanation:

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