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Elden [556K]
3 years ago
15

The probability of a getting a new sales contract with any given client is 0.29. A sales representative works with 18 clients th

is week. What is the expected number of contracts the sales representative will get this week?
Mathematics
1 answer:
Radda [10]3 years ago
7 0

Answer:

The expected number of contracts the sales representative will get this week is 5.22

Step-by-step explanation:

For each client, there are only two possible outcomes. Either there is a sales contract, or there is not. The probability of having a sale contract with each client is independent of other clients. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

In this problem, we have that:

n = 18, p = 0.29

What is the expected number of contracts the sales representative will get this week?

E(X) = np = 18*0.29 = 5.22

The expected number of contracts the sales representative will get this week is 5.22

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Answer:

m = 2/3

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Slope is defined as the ratio rise/run.

As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30.  Thus, the slope of the line is m = 30/20, or 2/3.

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Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a sca
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Answer:

Length of scale = 15 cm

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The drawing with labeling and dimensions of the scale drawing.

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First of all, let us understand about the concept of scaling.

Scaling is a method to represent big structures on paper.

For this purpose, we decide a scaling factor and draw the big structures on paper by scaling down (making it small) by using a scaling factor.

Here, the scale factor used is 1 to 40.

i.e. 1 unit on scale is equivalent to 40 units on the actual kitchen.

40 units of kitchen = 1 unit of scale

1 unit of kitchen = \frac{1}{40} units of scale

6 m of kitchen = \frac{1}{40}\times 6\ m = \frac{600}{40}\ cm = 15\ cm

Length of scale = <em>15 cm</em>

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1 unit of kitchen = \frac{1}{40} units of scale

2 m of kitchen = \frac{1}{40}\times 2\ m = \frac{200}{40}\ cm = 5\ cm

Width of scale = <em>5 cm</em>

<em></em>

Please refer to the attached image as well for representation of given scale.

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