Determine if the relation represents a function. Explain

PLEASE HELP! I WILL GIVE BRAINLIEST! **GEOMETRY**

ohaa [14]

Answer:

x= 22.5

Step-by-step explanation:

$\frac{9}{x} = \frac{6}{15 } \\ 6x = 135 \\ x = 22.5$

4 0

3 years ago

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The commute time for people in a city has an exponential distribution with an average of 0.5 hours. What is the probability that

mamaluj [8]

Answer:

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

In this question:

$m = 0.5, \mu = \frac{1}{0.5} = 2$

What is the probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours?

$P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4)$

In which

$P(X \leq 1) = 1 - e^{-2} = 0.8647$

$P(X \leq 0.4) = 1 - e^{-2*0.4} = 0.5507$

So

$P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4) = 0.8647 - 0.5507 = 0.314$

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours

4 0

3 years ago

What is the perimeter of a semi-circle measuring 8cm

Margaret [11]

The perimeter of a circle is its total circumference, but in this case a semi-circle will measure half the circumference plus its diameter.
If the semicircle measures 8cm then the total circle is 16 cm, and we can calculate its diameter or radius from there. The perimeter is defined as:
p = pi*diameter = 16
diameter = 16/pi = 16/3.14
diameter = 5.1 cm
Therefore the semi-circle perimeter is:
perimeter = semi-circle + diameter = 8 + 5.1 = 13.1 cm

6 0

3 years ago

Minimize the objective function P = 45x + 48y for the given constraints.

BabaBlast [244]

Answer:

Following are the solution to the given equation:

Step-by-step explanation:

The graph file and correct question are defined in the attachment please find it.

According to the linear programming principle, we predict, that towards the intersections of the constraint points in the viability area, and its optimal solution exists. The sketch shows the points that are (0,16), (3,1), and (6,0).

by putting each point value into the objective function:

$\to P(0,16) = 768\\\\\to P(3,1) = 183\\\\\to P(6,0) = 270$