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3 years ago

What is the perimeter of a regular octagon in which all sides have a length of 5 feet.

Mathematics

2 answers:

Lunna [17]3 years ago

7 0

Perimeter = sum of all the sides.
A regular octagon has<em> </em><u><em>8 sides</em></u><em />.
The length of <em>each side </em>= 5 ft.
One side = 5 ft.
Eight sides = 5 × 8 = 40 ft.

The perimeter of the octagon is <u><em>40 ft.</em></u>

sineoko [7]3 years ago

5 0

Octagons have 8 sides. If each side is 5 feet then the perimeter is 40 feet. You add up the sides.

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The number of people arriving at a ballpark is random, with a Poisson distributed arrival. If the mean number of arrivals is 10,

Stella [2.4K]

Answer:

a) 3.47% probability that there will be exactly 15 arrivals.

b) 58.31% probability that there are no more than 10 arrivals.

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.

If the mean number of arrivals is 10

This means that $\mu = 10$

(a) that there will be exactly 15 arrivals?

This is P(X = 15). So

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

$P(X = 15) = \frac{e^{-10}*(10)^{15}}{(15)!} = 0.0347$

3.47% probability that there will be exactly 15 arrivals.

(b) no more than 10 arrivals?

This is $P(X \leq 10)$

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

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

$P(X = 0) = \frac{e^{-10}*(10)^{0}}{(0)!} = 0.000045$

$P(X = 1) = \frac{e^{-10}*(10)^{1}}{(1)!} = 0.00045$

$P(X = 2) = \frac{e^{-10}*(10)^{2}}{(2)!} = 0.0023$

$P(X = 3) = \frac{e^{-10}*(10)^{3}}{(3)!} = 0.0076$

$P(X = 4) = \frac{e^{-10}*(10)^{4}}{(4)!} = 0.0189$

$P(X = 5) = \frac{e^{-10}*(10)^{5}}{(5)!} = 0.0378$

$P(X = 6) = \frac{e^{-10}*(10)^{6}}{(6)!} = 0.0631$

$P(X = 7) = \frac{e^{-10}*(10)^{7}}{(7)!} = 0.0901$

$P(X = 8) = \frac{e^{-10}*(10)^{8}}{(8)!} = 0.1126$

$P(X = 9) = \frac{e^{-10}*(10)^{9}}{(9)!} = 0.1251$

$P(X = 10) = \frac{e^{-10}*(10)^{10}}{(10)!} = 0.1251$

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.000045 + 0.00045 + 0.0023 + 0.0076 + 0.0189 + 0.0378 + 0.0631 + 0.0901 + 0.1126 + 0.1251 + 0.1251 = 0.5831$

58.31% probability that there are no more than 10 arrivals.

8 0

3 years ago

What does tempature measure

Hoochie [10]

Answer:

Temperature is a measure of the average kinetic energy of the particles in an object.

Step-by-step explanation:

which means its b

6 0

3 years ago

(03.01)<br> The domain of the following relation R {(3,-2), (1, 2), (-1,-4), (-1, 2)} is

Anna35 [415]

The domain is set of x-value.

Therefore, the domain of the relation Domain of R = {3,1,-1}

6 0

3 years ago

Which of the following rational number between 3/7 and 7/8 ?

Charra [1.4K]

Answer:

Step-by-step explanation:

There are two ways to do this. You could use your calculator to find out the decimal numbers that are equivalent to the two given fractions. Then check which one of the givens falls between these two numbers. I wouldn't do it that way -- not when you are told that the answer has 56 as the denominator. So ...

The best way to do it is to change the two givens so that they have a denominator of 56

3/7 = 3*8/7*8 = 24 / 56

7*7 / 7*8 = 49 / 46

So you need a number that is between 49 and 24

There is only one 27 / 56

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3 years ago

Please answersee image bellow

vova2212 [387]

Answer:

Step-by-step explanation:

surface area = 2πrh + 2πr²

where r = 2 miles radius

h = 3 miles

<u>plugin values into the formula</u>

surface area = 2πrh + 2πr²

= 2π (2) 3 + 2π (2)²

= 37.699 + 25.133

= 62.832 mi.²

4 0

3 years ago