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2 years ago

Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide.

Mathematics

1 answer:

den301095 [7]2 years ago

8 0

Answer:

I am not sure if you wrote the questions and its options correctly

Step-by-step explanation:

Putting fence around a rectangular garden would require it's perimeter the perimeter of almost all shapes can be done by adding all the sides

The answer is: 12+7+12+7 which also can be written as: 2(12+7)=38

Which is.. P=2(l+w)

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If you sleep for 9 h one night, what fractional part of a day did you spend sleeping?

Angelina_Jolie [31]

Answer:

3/8 of the day

Step-by-step explanation:

A day is 24 hours

You spend 9 of them sleeping

The fraction you spend sleeping is

9/24

You can simplify the fraction by dividing the top and bottom by 3

9/3 = 3

24/3 = 8

3/8

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2 years ago

According to the fundamental theorem of algebra how many roots exist for the polynomial function f(x)=8x^7-x^5+x^3+6

mojhsa [17]

Answer:

Step-by-step explanation:

This is a 7th degree polynomial. There should be 7 roots. Note how degree of poly = number of roots.

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2 years ago

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rusak2 [61]

Answer:

x= -1, y = -1

Step-by-step explanation:

-16x +24y = -8

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2 years ago

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Ierofanga [76]

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3 years ago

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Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute. The probability that

zloy xaker [14]

Answer:

0.0498 = 4.98%

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.

Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute.

Each minute has 60 seconds.

So a rate of 1 inquire each 4 seconds.

The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately

Mean of 1 inquire each 4 seconds, so for 12 seconds $\mu = \frac{12}{4} = 3$

This probability is P(X = 0).

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

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

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2 years ago