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slavikrds [6]
3 years ago
12

Six customers enter a three-floor restaurant. Each customer decides on which floor to have dinner. Assume that the decisions of

different customers are independent, and that for each customer, each floor is equally likely. Find the probability that exactly one customer dines on the first floor.
Mathematics
1 answer:
Firdavs [7]3 years ago
6 0
<h2>Answer:</h2>

The probability that exactly one customer dines on the first floor is:

                     0.26337  

<h2>Step-by-step explanation:</h2>

We need to use the binomial theorem to find the probability.

The probability of k success in n experiments is given by:

       P(X=k)=n_C_k\cdot p^k\cdot (1-p)^{n-k}

where p is the probability of success.

Here p=1/3

( It represents the probability of choosing first floor)

k=1 ( since only one customer has to chose first floor)

n=6 since there are a total of 6 customers.

This means that:

P(X=1)=6_C_1\times (\dfrac{1}{3})^1\times (1-\dfrac{1}{3})^{6-1}\\\\\\P(X=1)=6\times (\dfrac{1}{3})\times (\dfrac{2}{3})^5\\\\\\P(X=1)=0.26337

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Which of the following is the number if sides a polygon can have to form a regular tessallation?
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None of the options is true.

Three Different, Regular tessellation is formed 1. if we join regular polygons of side 3, called equilateral triangle,2. Regular polygon of side 4, called Square, and 3. Regular polygon of side,6 called hexagon,

to form a pattern.

<h3>What is the polygon?</h3>

A polygon is said to be regular if all interior angles and all sides are equal.

The regular polygon of side 3, when joined together can be named: 3.3.3.

The regular polygon of side 4, when joined together can be named 4.4.4.

The regular polygon of side 6, when joined together can be named 6.6.6.

So, a regular tessellation is formed, from a regular polygon having,3,4, and 6 Sides.

None of the sides of the polygon, which is given in the option, can be used to form a regular tessellation.

None of the options is true.

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2 years ago
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Alex17521 [72]

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Step-by-step explanation:

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6 0
3 years ago
Decide which project the most profitable is by:
Doss [256]

Answer:

Project A :

NPV : $703,888.64

IRR : 44.882%

Project B:

NPV : $5,241.26

IRR : 49.662%

Project B is more profitable

Step-by-step explanation:

The NPV gives the difference between the present value of cash inflow and cash outflow over a certain period of time.

The Internal rate of return is the discount rate which makes the NPV of an investment 0. It is used to estimate the potential return on an investment. Investments with higher IRR are said to be better than those with lower IRR value.

Using the net present value, (NPV) Calculator, the NPV for project A is : $703,888.64

The IRR of project A is : 44.882%

The NPV for Project B is : $5,241.26

The Internal rate of return (IRR) : 49.662%

From the Internal rate of return value obtained, we can conclude that, project B is more profitable as it has a higher IRR than project A.

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D = 18 in. Fine the radius or diameter of each circle with the given dimensions. ​
Alborosie

Answer:

r= 9

Step-by-step explanation:

radius (r) = diameter (D)/2

= 18/2

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4 0
3 years ago
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