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3 years ago

How to divide a polygon into triangles?

Mathematics

2 answers:

boyakko [2]3 years ago

5 0

Answer:

By cutting shapes into triangles

patriot [66]3 years ago

4 0

The most remarkable and important property of triangles is that any polygon can be split up into triangles simply by drawing diagonals of the polygon. This fact forms the basis for understanding why the interior angles of polygons add up to 180(n-2) degrees.

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A website manager has noticed that during the evening hours, about 3.23.2 people per minute check out from their shopping cart

aleksandrvk [35]

Answer:

1. c. Poisson

2. 0.9592 = 95.92% probability that in any one minute at least one purchase is made.

3. 0.0017 = 0.17% probability that no one makes a purchase in the next 2 minutes.

Step-by-step explanation:

We have only the mean, which means that the Poisson distribution is used to solve this question, and thus the answer to question 1 is given by option c.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Mean of 3.2 minutes:

This means that $\mu = 3.2n$ , in which n is the number of minutes.

2. What is the probability that in any one minute at least one purchase is made?

$n = 1$ , so $\mu = 3.2$ .

This probability is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3.2}*3.2^{0}}{(0)!} = 0.0408$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0408 = 0.9592$

0.9592 = 95.92% probability that in any one minute at least one purchase is made.

3. What is the probability that no one makes a purchase in the next 2 minutes?

2 minutes, so $n = 2, \mu = 3.2(2) = 6.4$

This probability is P(X = 0). So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-6.4}*6.4^{0}}{(0)!} = 0.0017$

0.0017 = 0.17% probability that no one makes a purchase in the next 2 minutes.

7 0

3 years ago

Lin has a drawing with an area of 12 in2. If she increases all the sides by a scale factor of 5, what will the new area be?

Brut [27]

The anwer to ur question is 60 I’m pretty sure because u times the 12 by 5 and get 60

8 0

3 years ago

How much has James earned since the beginning of the year in 2014? (use pay stub) *

schepotkina [342]

Can you give more information?

4 0

3 years ago

Jim wants to buy an electric saw marked $98.00. If the salesperson offers him a discount of 15%, how much will he have to pay fo

Schach [20]

Since the discount is 15%, that means that they will pay 85% of the original price ( 100% - 15% = 85%).

Multiply the original price by 85% to find the discounted price:

98.00 x 0.85 = 83.30

They will pay $83.30 for the saw.

6 0

3 years ago

Read 2 more answers

if a committee of 4 is to be chosen at random from the class of 11 students what is the probability of any particular commuter b

Darina [25.2K]

i think the answer is 4/11 because the 4 people has a 1% chance out of the 11 people

7 0

3 years ago