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Drupady [299]
3 years ago
6

A computer company wants to start a call center. They designed a simulation using a random number generator to predict the frequ

ency of the types of calls they would receive. Solve for the situation. Based on the frequency table, what did the company assume would be the theoretical probability of receiving a technical support call? Integer Values Call Type Frequency 1 – 5 Sales 18 6 – 12 Informational 24 13 – 16 Technical Support 12
Mathematics
2 answers:
harina [27]3 years ago
4 0

Answer:

<u>The theoretical probability of receiving a technical support call is 12/54 or 22.2% (Rounding to one decimal place)</u>

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

There are five types of sales calls with a frequency of 18 calls for the simulation.

There are seven types of informational calls with a frequency of 24 calls for the simulation.

There are four types of technical support call with a frequency of 12 calls for the simulation.

Total of calls for the simulation = 18 + 24 + 12 = 54

2. Let's find the theoretical probability of receiving a technical support call.

Probability = Frequency/ Total of calls for the simulation

Probability of the receiving a technical support call.

<u>Probability = 12/ 54</u>

<u>Probability = 22.22% = 22.2% (Rounding to one decimal place)</u>

andrew11 [14]3 years ago
4 0

Answer: 25 %

Step-by-step explanation:

First we will add the values of the frequencies which is : 18 + 24 + 12 =54

were asked to find for the technical support so we will divide : 54 / 12 and we get 25%

So the Answer is 25%

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We have that the equation of the volume of a sphere is given by:

V=\frac{4}{3}\pi r^3

We have that the radius of a sphere is half the diameter of it:

Then, the radius of this sphere is

r = 6cm/2 = 3cm

<h2>Finding the volume of a sphere</h2>

We replace r by 3 in the equation:

\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot3^3 \end{gathered}

Since 3³ = 3 · 3 · 3 = 27

\begin{gathered} V=\frac{4}{3}\pi3^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot27 \end{gathered}

If we use π = 3.14:

\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=\frac{4}{3}\cdot3.14\cdot27 \\ \downarrow \\ V=4.18\bar{6}\cdot27 \end{gathered}

Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:

4.18666... ≅ 4.19

Then, we have that:

\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=4.19\cdot27 \\ =113.13 \end{gathered}

Then, we have that:

<h2>Finding the volume of a cone</h2>

We have that the volume of a cone is given by:

V=\frac{1}{3}\pi r^2h

where r is the radius of its base and h is the height:

Then, in this case

r = 3

h = 6

and

π = 3.14

Replacing in the equation for the volume:

\begin{gathered} V=\frac{1}{3}\pi r^2h \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \end{gathered}

Then, we have:

3² = 9

\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot9\cdot6 \\ V=\frac{1}{3}\cdot3.14\cdot54 \\ V=56.52 \\  \end{gathered}

Answer: the volume of the cone that has the same circular base and height is 56.52 cm³

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