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3 years ago

What is the value of x?

Mathematics

1 answer:

Amanda [17]3 years ago

7 0

There is a formula for Sum of interior angles of a polygon:
$Sum = 180(n-2)$
This figure has 7 sides, n = 7
$Sum = 180(7-2) = 900$
Add up all the given angles,
Subtract from 900,
This will give you value of x.

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Read 2 more answers

6 times a number is greater than 20 more than that number what are the possible values of that number

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

6x > x + 20

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3 years ago

The number of requests for assistance received by a towing service is a Poisson process with rate θ = 4 per hour.a. Compute the

aliya0001 [1]

Answer:

a) 9.93% probability that exactly ten requests are received during a particular 2-hour period

b) 13.53% probability that they do not miss any calls for assistance

c) 2

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.

Poisson process with rate θ = 4 per hour.

This means that $\mu = 4n$ , in which n is the number of hours.

a. Compute the probability that exactly ten requests are received during a particular 2-hour period.

n = 2, so $\mu = 4*2 = 8$

This is P(X = 10). So

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

$P(X = 10) = \frac{e^{-8}*8^{10}}{(10)!} = 0.0993$

9.93% probability that exactly ten requests are received during a particular 2-hour period

b. If the operators of the towing service take a 30-min break for lunch, what is the probability that they do not miss any calls for assistance?

n = 0.5, so $\mu = 4*0.5 = 2$

This is P(X = 0). So

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

$P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353$

13.53% probability that they do not miss any calls for assistance

c. How many calls would you expect during their break?

n = 0.5, so $\mu = 4*0.5 = 2$

4 0

3 years ago

A _______ conveys the notion of "or." We use the symbol logical or ∨ to represent a _______.

Aloiza [94]

Answer:

v and or.

Step-by-step explanation:

A ∨conveys the notion of "or". We use the symbol logical ∨ to represent a disjunction.

The "or" in logical lenguage indicates that one thing can happen but another thing also can happen, that is what we call a disjunction. The symbol to represent it is ∨.

The "and" in logical lenguage indicates that a situation is true only if all the statements are true. In other words we see all the statements as needs, not as options, that is called a conjunction. The symbol to represent it is ^.

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3 years ago