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3 years ago

The coordinates A(2, 1), B(7, 1), C(2, 4) form what type of polygon?

Mathematics

2 answers:

scoundrel [369]3 years ago

7 0

Answer:

right triangle

Step-by-step explanation:

Digiron [165]3 years ago

6 0

Step-by-step explanation:

$Slope \: of \: AB = \frac{1 - 1}{7 - 2} = \frac{0}{5} = 0 \\ \\ Slope \: of \: BC = \frac{4 - 1}{2 - 7} = \frac{3}{ - 5} = - \frac{3}{ 5} \\ \\ \because \: Slope \: of \: AB \neq \: Slope \: of \: BC \\ \\ \therefore \: given \: points \: are \: non - collinear. \\$

Hence, coordinates A(2, 1), B(7, 1), C(2, 4) form a triangle.

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Write five important features. of democratic government

Phantasy [73]

Democracy- The democracy is a government of the people by the people and for the people.

It means the room by the people.

It is a form of government in which the rulers are elected by the people.

Features of Democracy :

a) Major decisions by Elected Leaders :

In a democratic government the major decisions are taken by the leaders who are elected by the people of that country. These elected leaders represent the whole country so in this way the need of all people are satisfied.

b) Free and Fair Electoral Competition :

A democracy is based on a free and fair election where does currently in power have a fair chance of losing.

c) One Person, One Vote , One Value :

In a democratic country each and every adult is provided a single word which is having equal value. It means each what must have one value then that of other.

d) Rule of Law and Respect of Rights :

In democracy a country can be rule only within limits set by constitutional law and citizens' rights.

6 0

3 years ago

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.9 per year. a. Find t

VLD [36.1K]

Answer:

a) 9.52% probability that, in a year, there will be 4 hurricanes.

b) 4.284 years are expected to have 4 hurricanes.

c) The value of 4 is very close to the expected value of 4.284, so the Poisson distribution works well here.

Step-by-step explanation:

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 time interval.

6.9 per year.

This means that $\mu = 6.9$

a. Find the probability that, in a year, there will be 4 hurricanes.

This is P(X = 4).

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

$P(X = 4) = \frac{e^{-6.9}*(6.9)^{4}}{(4)!}$

$P(X = 4) = 0.0952$

9.52% probability that, in a year, there will be 4 hurricanes.

b. In a 45-year period, how many years are expected to have 4 hurricanes?

For each year, the probability is 0.0952.

Multiplying by 45

45*0.0952 = 4.284.

4.284 years are expected to have 4 hurricanes.

c. How does the result from part (b) compare to a recent period of 45 years in which 4 years had 4 hurricanes? Does the Poisson distribution work well here?

The value of 4 is very close to the expected value of 4.284, so the Poisson distribution works well here.

5 0

3 years ago

A number cube is labeled 1 through 6. What is the probability of NOT<br> rolling a 2?

Andre45 [30]

Answer:

Step-by-step explanation:

each of the 6 number has a 1/6 chance of being rolled

1 2 3 4 5 6

1/6 1/6 1/6 1/6 1/6 1/6

Every time the cube is rolled there is a 6/6 chance of any number comes up

1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 or 1

What is the probability of NOT rolling a 2? Any other number

1 2 3 4 5 6

1/6 + 0 + 1/6 + 1/6 + 1/6 + 1/6 = 5/6 or 0.8333

5 0

2 years ago

Write the number equal to 2 tens 15 ones.

VladimirAG [237]

Answer~35
Wørk~
2x10=20
20+15=35

8 0

3 years ago

Read 2 more answers

When originally purchased, a vehicle costing $23,000 had an estimated useful life of 8 years and an estimated salvage value of $

earnstyle [38]

The <u>correct answer</u> is:

$5,000.

Explanation:

When it is first purchased, the depreciation expense is calculated using the formula:

$\text{Depreciation expense}=\frac{\text{Cost}-\text{Salvage Value}}{\text{Useful Life}}$

The cost was $23,000; the salvage value was $3,000; and the useful life was 8 years:

$\text{Depreciation Expense}=\frac{23000-3000}{8}=\frac{20000}{8}= \$2500$

This means the value of the vehicle depreciates $2500 per year.

After 4 years, the vehicle would depreciate 2500(4) = $10,000.

This makes the new value $23000-$10000 = $13000.

Reevaluating the depreciation expense at this point, we use $13000 for the "cost" (current value), $3000 is still the salvage value, and now the total useful life was 6; we take 4 off of this, since it has already been 4 years:

$\text{Depreciation Expense}=\frac{13000-3000}{6-4}=\frac{10000}{2}= \$5000$

The depreciation expense in year 5 is $5,000.

6 0

3 years ago

Read 2 more answers